precipitaciÓn final

"AÑO DE LA INTEGRACIÓN NACIONAL Y EL RECONOCIMIENTO DE NUESTRA DIVERSIDAD"

ESTACIÓN: 1

AÑO P. MEDIA1975 754.66 566.04405411976 568.71 566.04405411977 691.64 566.04405411978 540.29 566.04405411979 641.34 566.04405411980 356.31 566.04405411981 416.6 566.04405411982 498.09 566.04405411983 532.63 566.04405411984 737.87 566.04405411985 142.24 566.04405411986 343.17 566.04405411987 701.6 566.04405411988 275.34 566.04405411989 354.87 566.04405411990 244.87 566.04405411991 545.34 566.04405411992 432.85 566.04405411993 641.36 566.04405411994 566.44 566.04405411995 320.3 566.04405411996 226.08 566.04405411997 368.31 566.04405411998 638.82 566.04405411999 483.34 566.04405412000 365.73 566.04405412001 236.7 566.04405412002 314.92 566.0440541 CARACTERÍSTICAS DE LA PRECIPITACIÓN DE LA ESTACIÓN2003 436.08 566.04405412004 494.54 566.0440541 PROMEDIO: Xm= 457.79810812005 403.87 566.0440541 VARIANZA: 26162.859922006 453.11 566.0440541 DESVIACIÓN ESTÁNDAR: Sx= 163.9805052007 786.15 566.0440541 COEFICIENTE DE VARIABILIDAD: C.V.= 0.3581939332008 358.15 566.04405412009 328.16 566.04405412010 289.24 566.0440541

S²x=

1970 1975 1980 1985 1990 1995 2000 2005 2010 20150

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PRECIPITACIÓN MEDIA ANUAL- ESTACIÓN 1(1975 - 2011)

AÑO DE REGISTRO

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2011 448.81 566.0440541HIDROLOGÍA GENERAL


ESTACIÓN: 2

AÑO P. MEDIA1975 332.99 413.80270271976 320.02 413.80270271977 372.64 413.80270271978 530.6 413.80270271979 698.54 413.80270271980 497.6 413.80270271981 397.75 413.80270271982 309.89 413.80270271983 345.93 413.80270271984 442.71 413.80270271985 192.3 413.80270271986 501.15 413.80270271987 294.12 413.80270271988 606.79 413.80270271989 454.41 413.80270271990 468.58 413.80270271991 772.4 413.80270271992 245.65 413.80270271993 387.88 413.80270271994 395.49 413.80270271995 341.67 413.80270271996 276.35 413.80270271997 559.8 413.80270271998 511.34 413.80270271999 513.15 413.80270272000 430.33 413.80270272001 253.21 413.80270272002 393.93 413.8027027 CARACTERÍSTICAS DE LA PRECIPITACIÓN DE LA ESTACIÓN2003 309.11 413.80270272004 424.67 413.8027027 PROMEDIO: Xm= 413.80270272005 465.35 413.8027027 VARIANZA: 14803.985052006 413.99 413.8027027 DESVIACIÓN ESTÁNDAR: Sx= 123.34993662007 343.91 413.8027027 COEFICIENTE DE VARIABILIDAD: C.V.= 0.2980887652008 484.9 413.80270272009 289.55 413.80270272010 424.17 413.80270272011 307.83 413.8027027

HIDROLOGÍA GENERAL

S²x=

1970 1975 1980 1985 1990 1995 2000 2005 2010 20150

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AÑO DE REGISTRO

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ESTACIÓN: 3


HIDROLOGÍA GENERAL

S²x=

1970 1975 1980 1985 1990 1995 2000 2005 2010 20150

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400

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800

1000

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1400


AÑO DE REGISTRO

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ESTACIÓN: 4

AÑO P. MEDIA1975 236.751976 351.791977 258.091978 529.861979 258.811980 211.321981 272.021982 505.211983 175.011984 735.821985 216.41986 187.231987 231.651988 324.621989 305.051990 344.931991 479.061992 429.241993 232.641994 239.031995 292.11996 156.21997 1261998 310.381999 308.112000 1572001 2072002 0 CARACTERÍSTICAS DE LA PRECIPITACIÓN DE LA ESTACIÓN2003 425.462004 213.35 PROMEDIO: Xm= 285.64486492005 245.59 VARIANZA: 16699.397512006 208.77 DESVIACIÓN ESTÁNDAR: Sx= 131.00866252007 355.32 COEFICIENTE DE VARIABILIDAD: C.V.= 0.4586417562008 193.022009 311.112010 284.732011 250.19

HIDROLOGÍA GENERAL

S²x=

1970 1975 1980 1985 1990 1995 2000 2005 2010 20150

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AÑO DE REGISTRO

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ESTACIÓN: 5


HIDROLOGÍA GENERAL

S²x=

1970 1975 1980 1985 1990 1995 2000 2005 2010 20150

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AÑO DE REGISTRO

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ESTACIÓN: 6


HIDROLOGÍA GENERAL

S²x=

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ESTACIÓN: 7

AÑO P. MEDIA1975 424.24 305.51540541976 486.94 305.51540541977 390.19 305.51540541978 364.51 305.51540541979 528.87 305.51540541980 178.59 305.51540541981 227.85 305.51540541982 313.47 305.51540541983 170.71 305.51540541984 240.28 305.51540541985 108.99 305.51540541986 143.78 305.51540541987 299.98 305.51540541988 349 305.51540541989 196.89 305.51540541990 343.67 305.51540541991 625.9 305.51540541992 444.01 305.51540541993 428.75 305.51540541994 294.4 305.51540541995 290.82 305.51540541996 168.15 305.51540541997 90.43 305.51540541998 285.54 305.51540541999 200.73 305.51540542000 263.41 305.51540542001 175.2 305.51540542002 272.79 305.5154054 CARACTERÍSTICAS DE LA PRECIPITACIÓN DE LA ESTACIÓN2003 333.19 305.51540542004 413.5 305.5154054 PROMEDIO: Xm= 305.51540542005 475.72 305.5154054 VARIANZA: 14520.445772006 265.17 305.5154054 DESVIACIÓN ESTÁNDAR: Sx= 122.1629712007 316.67 305.5154054 COEFICIENTE DE VARIABILIDAD: C.V.= 0.3998586292008 416.83 305.51540542009 312.9 305.51540542010 279.63 305.51540542011 182.37 305.5154054

HIDROLOGÍA GENERAL

S²x=

1970 1975 1980 1985 1990 1995 2000 2005 2010 20150

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ESTACIÓN: 8

AÑO P. MEDIA1975 707.121976 998.271977 797.11978 867.341979 1189.241980 1207.521981 1303.211982 915.221983 821.721984 962.741985 912.441986 1242.41987 908.31988 1070.091989 1072.081990 825.741991 780.521992 943.121993 877.11994 744.221995 1115.851996 01997 1326.931998 966.751999 968.872000 781.952001 1235.112002 1293.34 CARACTERÍSTICAS DE LA PRECIPITACIÓN DE LA ESTACIÓN2003 1042.12004 1170.44 PROMEDIO: Xm= 957.99945952005 636.52 VARIANZA: 62572.592322006 1201.16 DESVIACIÓN ESTÁNDAR: Sx= 253.59558332007 620.49 COEFICIENTE DE VARIABILIDAD: C.V.= 0.2647137022008 1147.012009 1057.152010 1040.62011 696.22

HIDROLOGÍA GENERAL

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POLINOMIO APROXIMADO A LA DISPERSIÓN: PRECIPITACIÓN MEDIA VS AÑO DE REGISTRO

1970 1975 1980 1985 1990 1995 2000 2005 2010 20150

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f(x) = − 0.0000129779 x⁶ + 0.154987 x⁵ − 771.2052 x⁴ + 2046626 x³ − 3055100000 x² + 2432230000000 x − 806808000000000


AÑO DE REGISTRO

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1970 1975 1980 1985 1990 1995 2000 2005 2010 20150

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f(x) = − 0.0000420767 x⁶ + 0.502974 x⁵ − 2505.152 x⁴ + 6654534 x³ − 9943050000 x² + 7923490000000 x − 2630860000000000


AÑO DE REGISTRO

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1970 1975 1980 1985 1990 1995 2000 2005 2010 20150

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f(x) = − 0.0000395953 x⁶ + 0.473588 x⁵ − 2360.169 x⁴ + 6273083 x³ − 9378600000 x² + 7478090000000 x − 2484440000000000


AÑO DE REGISTRO

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1970 1975 1980 1985 1990 1995 2000 2005 2010 20150

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f(x) = − 0.0000327578 x⁶ + 0.392325 x⁵ − 1957.779 x⁴ + 5210462 x³ − 7800240000 x² + 6227800000000 x − 2071800000000000


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1970 1975 1980 1985 1990 1995 2000 2005 2010 20150

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f(x) = − 0.0000420767 x⁶ + 0.502974 x⁵ − 2505.152 x⁴ + 6654534 x³ − 9943050000 x² + 7923490000000 x − 2630860000000000


AÑO DE REGISTRO

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1970 1975 1980 1985 1990 1995 2000 2005 2010 20150

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f(x) = − 0.0000327578 x⁶ + 0.392325 x⁵ − 1957.779 x⁴ + 5210462 x³ − 7800240000 x² + 6227800000000 x − 2071800000000000


AÑO DE REGISTRO

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1970 1975 1980 1985 1990 1995 2000 2005 2010 20150

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f(x) = − 0.000020652 x⁶ + 0.2469152 x⁵ − 1230.04 x⁴ + 3268028 x³ − 4883950000 x² + 3892700000000 x − 1292760000000000


AÑO DE REGISTRO

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1970 1975 1980 1985 1990 1995 2000 2005 2010 20150

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f(x) = − 0.0000636628 x⁶ + 0.760824 x⁵ − 3788.508 x⁴ + 10061137 x³ − 15029500000 x² + 11973900000000 x − 3974800000000000


AÑO DE REGISTRO

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1970 1975 1980 1985 1990 1995 2000 2005 2010 20150

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f(x) = − 0.000020652 x⁶ + 0.2469152 x⁵ − 1230.04 x⁴ + 3268028 x³ − 4883950000 x² + 3892700000000 x − 1292760000000000


AÑO DE REGISTRO

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1970 1975 1980 1985 1990 1995 2000 2005 2010 20150

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f(x) = − 0.0000636628 x⁶ + 0.760824 x⁵ − 3788.508 x⁴ + 10061137 x³ − 15029500000 x² + 11973900000000 x − 3974800000000000


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DETERMINACIÓN DE LA CORRELACIÓN ENTRE ESTACIONE COMPLETAS PARA LA SELECCIÓN DE ESTACIONES BASESAÑO ESTACIÓN 1 ESTACIÓN 2 ESTACIÓN 3 ESTACIÓN 5 ESTACIÓN 6 ESTACIÓN 7 E1-PE11975 754.66 332.99 425.97 543.33 167.41 424.24 296.86 88126.9831976 568.71 320.02 305.57 616.98 170.44 486.94 110.91 12301.4481977 691.64 372.64 372.89 651.27 157.46 390.19 233.84 54682.0301978 540.29 530.6 687.09 457.96 301.23 364.51 82.49 6804.9121979 641.34 698.54 691.14 463.54 189.99 528.87 183.54 33687.6261980 356.31 497.6 1307.39 577.62 163.33 178.59 -101.49 10299.8361981 416.6 397.75 584.49 499.36 171.96 227.85 -41.20 1697.2841982 498.09 309.89 418.35 438.66 142.02 313.47 40.29 1623.4371983 532.63 345.93 332.02 389.41 105.15 170.71 74.83 5599.8121984 737.87 442.71 740.16 380.25 576.35 240.28 280.07 78440.2651985 142.24 192.3 380.73 421.89 142.22 108.99 -315.56 99576.9201986 343.17 501.15 508.01 699.24 105.18 143.78 -114.63 13139.6031987 701.6 294.12 236.24 375.91 133.63 299.98 243.80 59439.3621988 275.34 606.79 429.77 502.93 161.56 349 -182.46 33290.9611989 354.87 454.41 594.63 491.52 212.87 196.89 -102.93 10594.1951990 244.87 468.58 375.95 495.3 223.28 343.67 -212.93 45338.3791991 545.34 772.4 1048.75 350.06 633.2 625.9 87.54 7663.5831992 432.85 245.65 330.72 467.84 132.58 444.01 -24.95 622.4081993 641.36 387.88 398.29 576.56 159.53 428.75 183.56 33694.9681994 566.44 395.49 320.04 487.67 245.37 294.4 108.64 11803.0611995 320.3 341.67 468.63 525.55 227.07 290.82 -137.50 18905.7301996 226.08 276.35 304.3 500.65 265.43 168.15 -231.72 53693.2821997 368.31 559.8 315.69 249.45 219.73 90.43 -89.49 8008.1211998 638.82 511.34 1120.4 509.3 294.38 285.54 181.02 32768.9251999 483.34 513.15 798.06 378.51 199.66 200.73 25.54 652.3882000 365.73 430.33 328.43 365.8 130.82 263.41 -92.07 8476.5372001 236.7 253.21 352.53 262.31 200.62 175.2 -221.10 48884.3732002 314.92 393.93 433.8 262.07 256.03 272.79 -142.88 20414.1542003 436.08 309.11 531.07 370.26 130.54 333.19 -21.72 471.6762004 494.54 424.67 740.15 388.87 274.56 413.5 36.74 1349.9672005 403.87 465.35 705.36 411.44 178.3 475.72 -53.93 2908.2412006 453.11 413.99 503.93 427.96 269.69 265.17 -4.69 21.9782007 786.15 343.91 394.18 451.59 188.71 316.67 328.35 107814.9652008 358.15 484.9 535.2 471.9 192.27 416.83 -99.65 9929.7452009 328.16 289.55 617.72 494.77 253.23 312.9 -129.64 16806.0392010 289.24 424.17 1169.15 523.69 353.81 279.63 -168.56 28411.8362011 448.81 307.83 442.93 446.02 161.26 182.37 -8.99 80.786

PROMEDIO: 457.80 413.80 547.29 457.50 218.67 305.52 SUMA: 968025.82HIDROLOGÍA GENERAL

(E1-PE1)²


En este caso se está haciendo todo este procedimiento, pues para el presente trabajo, cuento con los datos de precipitación de 08 estaciones y deseo trabajar con 06 de ellas (el número de estacio-nes asignadas en clase).

Dos de estas estaciones tienen datos faltantes y por ello se van a usar en el trabajo; y en esta partedel informe se busca seleccionar las otras 04 estaciones restantes, teniendo en cuenta que los datos entre una estación y la otra deben estar de alguna manera ligados, guardando cierta relación en ladispersión de losdatos.

Una buena manera de poder conseguir esto es haciendo uso de la REGRESIÓN LINEAL SIMPLE, y deter-minando el coeficiente de correlación entre cada par de estaciones.Cabe recordar que cuando la correlación se aproxima a 1, indica que hay una buena correlación. Ycuando se aproxima a cero la correlación es casi nula o no existe.

DESVIACIÓN ESTÁNDAR Y PROMEDIOS DE LAS PRECIPITACIONES:

La desviación estándar es calculada para cada una de las estaciones, haciendo uso de los datosde la tabla de precipitaciones.

Al ser calculados estos valores, sirven para tener una idea de las características y el comportamien- to de los datos de cada una de las estaciones que se están estudiando. Ya que a menor desviaciónestándar los datos podrían ser tomados en consideración, aunque esta característica no es suficien-te para determinar si una estación puede ser tomada como base o no.

Para n=37

S1x= 163.981 457.80

Para n=37

S2x= 123.350 413.80

S3x= 261.733 547.29

Para n=37

S5x= 100.019 457.50

Para n=37

S6x= 110.337 218.67

Para n=37

S7x= 122.163 305.52

HIDROLOGÍA GENERAL

• ESTACIÓN 1

ė1=

• ESTACIÓN 2

ė2=

• ESTACIÓN 3

ė3=

• ESTACIÓN 5

ė5=

• ESTACIÓN 6

ė6=

• ESTACIÓN 7

ė7=


DETERMINACIÓN DE LA CORRELACIÓN ENTRE LOS DATOS DE PRECIPITACIÓN DE LAS ESTACIONES COMPLETAS:

DONDE:

Para determinar este parámetro, se están tomando los valores de los promedios y las desviaciones estándares ya calculadas en la parte tabla de estaciones y en la parte inmediata superior a este ítem.

Aplicando la fórmula anterior se están obteniendo los siguientes resultados:

r1-2= 0.1212 r2-6= 0.4401No existe buena correlación No existe buena correlación



r1-6= 0.1528 r3-6= 0.5000No existe buena correlación Existe buena correlación

r1-7= 0.4230 r3-7= 0.1307No existe buena correlación

r2-3= 0.5205 r5-6= -0.2422Existe buena correlación No existe buena correlación

r2-5= -0.0289 r5-7= 0.0135No existe buena correlación No existe buena correlación

HIDROLOGÍA GENERAL

n: Número de pares de datosX: Media de los datos de una de las estaciones (estación i)Y: Media de los datos de una de las estaciones (estación j)Sx: Desviación estándar de la estación iSy: Desviación estándar de la estación j

• ESTACIÓN 1 - ESTACIÓN 2 • ESTACIÓN 2 - ESTACIÓN 6








r6-7= 0.0498No existe buena correlación

Como entre las estaciones "2 - 3" y "3 - 6" existe correlación débil, a continuación se presenta de forma gráfica el comportamiento de estas estaciones

DISPERSIÓN DE PUNTOS ENTRE LAS ESTACIONES 2 Y 3

DISPERSIÓN DE PUNTOS ENTRE LAS ESTACIONES 3 Y 6

HIDROLOGÍA GENERAL

• ESTACIÓN 6 - ESTACIÓN 7

0 200 400 600 800 1000 1200 14000

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f(x) = 0.0609982921114585 x + 272.131650115725R² = 0.0170794351417211

RELACIÓN LINEAL ENTRE E3- E6

PRECIPTACIÓN DE ESTACIÓN 3

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f(x) = 1.10443462510124 x + 90.271967174659R² = 0.270919685970747

RELACIÓN LINEAL ENTRE E2 - E3

PRECIPTACIÓN DE ESTACIÓN 3

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La siguiente tabla muestra las correlaciones obtenidas entre los datos de las estaciones completas

CORRELACIÓNESTACIÓN 1 ESTACIÓN 2 ESTACIÓN 3 ESTACIÓN 5 ESTACIÓN 6 ESTACIÓN 7

ESTACIÓN 1 1 0.1212 0.0222 0.1293 0.1528 0.4230ESTACIÓN 2 0.1212 1 0.5205 -0.0289 0.4401 0.3416ESTACIÓN 3 0.0222 0.5205 1 0.1003 0.5000 0.1307ESTACIÓN 5 0.1293 -0.0289 0.1003 1 -0.2422 0.0135ESTACIÓN 6 0.1528 0.4401 0.5000 -0.2422 1 0.0498ESTACIÓN 7 0.4230 0.3416 0.1307 0.0135 0.0498 1

COEFICIENTE DE VARIABILIDADESTACIÓN 1 ESTACIÓN 2 ESTACIÓN 3 ESTACIÓN 5 ESTACIÓN 6 ESTACIÓN 70.358193933 0.298088765 0.478234772 0.218620524 0.504576661 0.399858629

Si analizamos el coeficiente de variabilidad de cada estación, se puede apreciar que mientras este valor sea lo menor posible, los datos serán mejores pues de un año a otro no habrá diferenciassignificativas en los datos registrados.Los datos que se tengan dentro de una estación, no deben tener mucha variación, deben guardar unarelación entre ellos. Es por ello que desde ese punto de vista las estaciones adecuadas serían:

E1, E2, E5 y E7

no se alejan mucho de la media para dicha estación.

Analizando la correlación de los datos, se aprecia que entre todos ellos no hay gran correlaciónsin embrago la estacion que se relaciona más con las otras es la estación E2, pues sólo difiere sig-nificativamente con las estaciones E1 y E5.

En el siguiente cuadro se muestra cada estación comparada con aquellas cuyas correlaciones estánpor debajo de 0.25. Se tomó 0.25 debido a que el máximo valor de correlación es de 0.5205

CORRELACIÓN CERCANA A CEROESTACIÓN 1 E2 - E3 - E5 - E6ESTACIÓN 2 E5ESTACIÓN3 E5 - E7ESTACIÓN 5 E6 - E7ESTACIÓN 6 E7

Según el cuadro anterior, quedarían descartadas las estaciones E1 y E5 por no tener correlación con las demás, sin embargo estas estaciones son de las que menos variacion presentan en las precipi-taciones de un año comparado con el otro. Es por ello que no pueden ser descartadas.

Quedando las estaciones E2, E3, E6, E7. La estación E2, será tomada en cuenta por que es la que másse correlaciona con las demás y tiene un coeficiente de variabilidad muy bajo.

La estación 7 se correlaciona con las estaciones escogidas E1 y E2, con un coeficiente de variabilidadigual a 0.3998 por eso también será tomada en cuenta para las siguientes partes del trabajo.

HIDROLOGÍA GENERAL

COMPARACIÓN DE LAS CORRELACIONES CALCULADAS Y LOS COEFICIENTES DE VARIABILIDAD DE CADA ESTACIÓN

Siendo E5, la estación adecuada para ser tomada como base, pues la dispersión de datos que posee

DETERMINACIÓN DE LA CORRELACIÓN ENTRE ESTACIONE COMPLETAS PARA LA SELECCIÓN DE ESTACIONES BASESE2-PE2 E3-PE3 E5-PE5 E6-PE6 E7-PE7-80.81 6530.693 -121.32 14718.542 85.83 7367.067 -51.26 2627.809 118.72 14095.529-93.78 8795.195 -241.72 58428.558 159.48 25434.388 -48.23 2326.341 181.42 32914.884-41.16 1694.368 -174.40 30415.360 193.77 37547.441 -61.21 3746.929 84.67 7169.787116.80 13641.609 139.80 19544.040 0.46 0.213 82.56 6815.797 58.99 3480.362284.74 81075.328 143.85 20692.823 6.04 36.501 -28.68 822.666 223.35 49887.27583.80 7021.987 760.10 577752.010 120.12 14429.204 -55.34 3062.755 -126.93 16110.059-16.05 257.689 37.20 1383.840 41.86 1752.395 -46.71 2182.026 -77.67 6031.915

-103.91 10797.850 -128.94 16625.524 -18.84 354.884 -76.65 5875.554 7.95 63.276-67.87 4606.704 -215.27 46341.173 -68.09 4636.027 -113.52 12887.281 -134.81 18172.49728.91 835.632 192.87 37198.837 -77.25 5967.312 357.68 127933.436 -65.24 4255.658

-221.50 49063.447 -166.56 27742.234 -35.61 1267.957 -76.45 5844.933 -196.53 38622.23587.35 7629.550 -39.28 1542.918 241.74 58439.012 -113.49 12880.471 -161.74 26158.341

-119.68 14323.949 -311.05 96752.102 -81.59 6656.663 -85.04 7232.169 -5.54 30.641192.99 37244.097 -117.52 13810.950 45.43 2064.032 -57.11 3261.799 43.48 1890.91040.61 1648.953 47.34 2241.076 34.02 1157.471 -5.80 33.665 -108.63 11799.47954.78 3000.552 -171.34 29357.396 37.80 1428.963 4.61 21.232 38.15 1455.773

358.60 128592.022 501.46 251462.132 -107.44 11543.005 414.53 171833.328 320.38 102646.288-168.15 28275.331 -216.57 46902.565 10.34 106.949 -86.09 7411.860 138.49 19180.753-25.92 671.987 -149.00 22201.000 119.06 14175.670 -59.14 3497.795 123.23 15186.765-18.31 335.355 -227.25 51642.562 30.17 910.327 26.70 712.775 -11.12 123.552-72.13 5203.127 -78.66 6187.396 68.05 4631.023 8.40 70.524 -14.70 215.955

-137.45 18893.245 -242.99 59044.140 43.15 1862.062 46.76 2186.295 -137.37 18869.255146.00 21315.211 -231.60 53638.560 -208.05 43284.128 1.06 1.119 -215.09 46261.73297.54 9513.524 573.11 328455.072 51.80 2683.408 75.71 5731.677 -19.98 399.01799.35 9869.885 250.77 62885.593 -78.99 6239.164 -19.01 361.462 -104.79 10979.98116.53 273.152 -218.86 47899.700 -91.70 8408.593 -87.85 7718.002 -42.11 1772.865

-160.59 25790.016 -194.76 37931.458 -195.19 38098.503 -18.05 325.881 -130.32 16982.105-19.87 394.924 -113.49 12879.980 -195.43 38192.251 37.36 1395.608 -32.73 1070.952

-104.69 10960.562 -16.22 263.088 -87.24 7610.535 -88.13 7767.278 27.67 765.88310.87 118.098 192.86 37194.980 -68.63 4709.854 55.89 3123.450 107.98 11660.67351.55 2657.124 158.07 24986.125 -46.06 2121.374 -40.37 1629.911 170.20 28969.6040.19 0.035 -43.36 1880.090 -29.54 872.516 51.02 2602.820 -40.35 1627.752

-69.89 4884.990 -153.11 23442.672 -5.91 34.909 -29.96 897.731 11.15 124.42571.10 5054.826 -12.09 146.168 14.40 207.407 -26.40 697.074 111.31 12390.939

-124.25 15438.734 70.43 4960.385 37.27 1389.174 34.56 1194.244 7.38 54.53210.37 107.481 621.86 386709.860 66.19 4381.331 135.14 18262.235 -25.89 670.054

-105.97 11230.214 -104.36 10891.010 -11.48 131.753 -57.41 3296.156 -123.15 15164.791SUMA: 547747.45 SUMA: 2466151.92 SUMA: 360133.47 SUMA: 438272.09 SUMA: 537256.49

(E2-PE2)² (E3-PE3)² (E5-PE5)² (E6-PE6)² (E7-PE7)²


COMPLETANDO LOS DATOS DE LAS ESTACIONES FALTANTES

En esta parte del presente trabajo se completarán los datos faltantes de las estaciones haciendouso del la regresión lineal simple entre cada una de las estaciones E4 y E8 y las estaciones comple-tas para luego veficar la homogeneidad y finalmente determinar las precipitaciones medias.

CORRELACIÓN DE LA ESTACIÓN 4 CON LAS DEMÁS ESTACIONES: E1, E2, E3, E5AÑO ESTACIÓN 4 ESTACIÓN 1 ESTACIÓN 2 ESTACIÓN 3 ESTACIÓN 5 (E4-PE4) (E1-PE1)1975 236.75 754.66 332.99 425.97 543.33 -56.829 3229.586 292.8931976 351.79 568.71 320.02 305.57 616.98 58.211 3388.469 106.9431977 258.09 691.64 372.64 372.89 651.27 -35.489 1259.501 229.8731978 529.86 540.29 530.6 687.09 457.96 236.281 55828.501 78.5231979 258.81 641.34 698.54 691.14 463.54 -34.769 1208.914 179.5731980 211.32 356.31 497.6 1307.39 577.62 -82.259 6766.616 -105.4571981 272.02 416.6 397.75 584.49 499.36 -21.559 464.810 -45.1671982 505.21 498.09 309.89 418.35 438.66 211.631 44787.492 36.3231983 175.01 532.63 345.93 332.02 389.41 -118.569 14058.713 70.8631984 735.82 737.87 442.71 740.16 380.25 442.241 195576.709 276.1031985 216.4 142.24 192.3 380.73 421.89 -77.179 5956.667 -319.5271986 187.23 343.17 501.15 508.01 699.24 -106.349 11310.204 -118.5971987 231.65 701.6 294.12 236.24 375.91 -61.929 3835.256 239.8331988 324.62 275.34 606.79 429.77 502.93 31.041 963.516 -186.4271989 305.05 354.87 454.41 594.63 491.52 11.471 131.574 -106.8971990 344.93 244.87 468.58 375.95 495.3 51.351 2636.880 -216.8971991 479.06 545.34 772.4 1048.75 350.06 185.481 34403.036 83.5731992 429.24 432.85 245.65 330.72 467.84 135.661 18403.786 -28.9171993 232.64 641.36 387.88 398.29 576.56 -60.939 3713.616 179.5931994 239.03 566.44 395.49 320.04 487.67 -54.549 2975.642 104.6731995 292.1 320.3 341.67 468.63 525.55 -1.479 2.189 -141.4671996 156.2 226.08 276.35 304.3 500.65 -137.379 18873.112 -235.6871997 126 368.31 559.8 315.69 249.45 -167.579 28082.870 -93.4571998 310.38 638.82 511.34 1120.4 509.3 16.801 282.259 177.0531999 308.11 483.34 513.15 798.06 378.51 14.531 211.137 21.5732000 157 365.73 430.33 328.43 365.8 -136.579 18653.945 -96.0372001 207 236.7 253.21 352.53 262.31 -86.579 7496.000 -225.0672002 314.92 393.93 433.8 262.072003 425.46 436.08 309.11 531.07 370.26 131.881 17392.481 -25.6872004 213.35 494.54 424.67 740.15 388.87 -80.229 6436.764 32.7732005 245.59 403.87 465.35 705.36 411.44 -47.989 2302.987 -57.8972006 208.77 453.11 413.99 503.93 427.96 -84.809 7192.642 -8.6572007 355.32 786.15 343.91 394.18 451.59 61.741 3811.896 324.3832008 193.02 358.15 484.9 535.2 471.9 -100.559 10112.202 -103.6172009 311.11 328.16 289.55 617.72 494.77 17.531 307.320 -133.6072010 284.73 289.24 424.17 1169.15 523.69 -8.849 78.313 -172.5272011 250.19 448.81 307.83 442.93 446.02 -43.389 1882.644 -12.957

PROMEDIO: 293.579 461.767 414.355 550.443 462.927 SUMA: 534018.247 SUMA:

HIDROLOGÍA GENERAL

(E4-PE4)²



Como primer paso se determinarán las desviaciones estándares y los promedios:

Para n=36

S4x= 123.522 293.58

Para n=36

S1x= 164.494 461.77

Para n=36

S2x= 125.053 414.35

Para n=36

S3x= 264.732 550.44

Para n=36

S5x= 95.750 462.93

DETERMINACIÓN DE LA CORRELACIÓN ENTRE LAS ESTACIONES COMPLETAS Y LA ESTACIÓN 4

Aplicando la fórmula de la correlación se obtendrá:


• CORRELACIÓN: ESTACIÓN 4 - ESTACIÓN 2

r4-2= 0.1189 r4-5= -0.0714No existe buena correlación No existe buena correlación

Por los resultados obtenidos, ninguna de las estaciones tiene una adecuada correlación con laestación 4; sin embargo, la estación que mejor se adecúa es la número 3.

HIDROLOGÍA GENERAL

• ESTACIÓN 4

ė4=

• ESTACIÓN 1

ė1=

• ESTACIÓN 2

ė2=

• ESTACIÓN 3

ė3=

• ESTACIÓN 5

ė5=

• CORRELACIÓN: ESTACIÓN 4 - ESTACIÓN 1 • CORRELACIÓN: ESTACIÓN 4 - ESTACIÓN 3


0 100 200 300 400 500 600 700 8000

200

400

600

800

1000

1200

1400

RECTA DE APROXIMACIÓN

PRECIPITACIÓN MEDIA ESTACIÓN 3

PREC

ITAC

IÓN

MED

IA E

STAC

IÓN

4


DETERMINACIÓN DE LA RECTA DE APROXIMACIÓN

Donde todos los datos necesarios ya han sido determinados:

Finalmente el valor que falta en la estación 4 se determinará evaluando 433.8 en la ecuación calaculada

E4 para el año 2002 será: 281.23

AÑO ESTACIÓN 4 ESTACIÓN 31975 236.75 425.971976 351.79 305.571977 258.09 372.891978 529.86 687.091979 258.81 691.141980 211.32 1307.391981 272.02 584.491982 505.21 418.351983 175.01 332.021984 735.82 740.161985 216.4 380.731986 187.23 508.011987 231.65 236.241988 324.62 429.771989 305.05 594.631990 344.93 375.951991 479.06 1048.751992 429.24 330.721993 232.64 398.291994 239.03 320.041995 292.1 468.631996 156.2 304.31997 126 315.691998 310.38 1120.41999 308.11 798.062000 157 328.432001 207 352.532002 281.23 433.82003 425.46 531.072004 213.35 740.152005 245.59 705.362006 208.77 503.932007 355.32 394.182008 193.02 535.22009 311.11 617.722010 284.73 1169.152011 250.19 442.93 HIDROLOGÍA GENERAL

0 100 200 300 400 500 600 700 8000

200

400

600

800

1000

1200

1400

f(x) = 0.488588151243018 x + 404.013689753749R² = 0.0517062295227355


PRECIPITACIÓN MEDIA DE LA ESTACIÓN 3

PREC

IPIT

ACIÓ

N M

EDIA

DE

LA E

STAC

IÓN

4


CORRELACIÓN DE LA ESTACIÓN 8 CON LAS DEMÁS ESTACIONES: E1, E2, E3, E5AÑO ESTACIÓN 8 ESTACIÓN 1 ESTACIÓN 2 ESTACIÓN 3 ESTACIÓN 5 (E8-PE8) (E1-PE1)1975 707.12 754.66 332.99 425.97 543.33 -277.491 77001.008 290.4251976 998.27 568.71 320.02 305.57 616.98 13.659 186.580 104.4751977 797.1 691.64 372.64 372.89 651.27 -187.511 35160.208 227.4051978 867.34 540.29 530.6 687.09 457.96 -117.271 13752.383 76.0551979 1189.24 641.34 698.54 691.14 463.54 204.629 41873.210 177.1051980 1207.52 356.31 497.6 1307.39 577.62 222.909 49688.620 -107.9251981 1303.21 416.6 397.75 584.49 499.36 318.599 101505.606 -47.6351982 915.22 498.09 309.89 418.35 438.66 -69.391 4815.049 33.8551983 821.72 532.63 345.93 332.02 389.41 -162.891 26533.333 68.3951984 962.74 737.87 442.71 740.16 380.25 -21.871 478.321 273.6351985 912.44 142.24 192.3 380.73 421.89 -72.171 5208.589 -321.9951986 1242.4 343.17 501.15 508.01 699.24 257.789 66455.398 -121.0651987 908.3 701.6 294.12 236.24 375.91 -76.311 5823.301 237.3651988 1070.09 275.34 606.79 429.77 502.93 85.479 7306.735 -188.8951989 1072.08 354.87 454.41 594.63 491.52 87.469 7650.904 -109.3651990 825.74 244.87 468.58 375.95 495.3 -158.871 25239.853 -219.3651991 780.52 545.34 772.4 1048.75 350.06 -204.091 41652.955 81.1051992 943.12 432.85 245.65 330.72 467.84 -41.491 1721.466 -31.3851993 877.1 641.36 387.88 398.29 576.56 -107.511 11558.520 177.1251994 744.22 566.44 395.49 320.04 487.67 -240.391 57787.619 102.2051995 1115.85 320.3 341.67 468.63 525.55 131.239 17223.792 -143.9351996 226.08 276.35 304.3 500.651997 1326.93 368.31 559.8 315.69 249.45 342.319 117182.602 -95.9251998 966.75 638.82 511.34 1120.4 509.3 -17.861 318.999 174.5851999 968.87 483.34 513.15 798.06 378.51 -15.741 247.765 19.1052000 781.95 365.73 430.33 328.43 365.8 -202.661 41071.301 -98.5052001 1235.11 236.7 253.21 352.53 262.31 250.499 62749.972 -227.5352002 1293.34 314.92 393.93 433.8 262.07 308.729 95313.870 -149.3152003 1042.1 436.08 309.11 531.07 370.26 57.489 3305.036 -28.1552004 1170.44 494.54 424.67 740.15 388.87 185.829 34532.582 30.3052005 636.52 403.87 465.35 705.36 411.44 -348.091 121167.035 -60.3652006 1201.16 453.11 413.99 503.93 427.96 216.549 46893.662 -11.1252007 620.49 786.15 343.91 394.18 451.59 -364.121 132583.779 321.9152008 1147.01 358.15 484.9 535.2 471.9 162.399 26373.580 -106.0852009 1057.15 328.16 289.55 617.72 494.77 72.539 5261.971 -136.0752010 1040.6 289.24 424.17 1169.15 523.69 55.989 3134.818 -174.9952011 696.22 448.81 307.83 442.93 446.02 -288.391 83169.113 -15.425

PROMEDIO: 984.611 464.235 417.621 554.040 456.300 SUMA: 1371929.536 SUMA:

HIDROLOGÍA GENERAL

(E8-PE8)²



Como primer paso se determinarán las desviaciones estándares y los promedios:

Para n=36

S8x= 197.985 984.61

Para n=36

S1x= 161.497 464.23

Para n=36

S2x= 122.862 417.62

Para n=36

S3x= 262.160 554.04

Para n=36

S5x= 101.167 456.30

DETERMINACIÓN DE LA CORRELACIÓN ENTRE LAS ESTACIONES COMPLETAS Y LA ESTACIÓN 8

Aplicando la fórmula de la correlación se obtendrá:

r8-1= -0.4417 r8-3= 0.1500No existe buena correlación No existe buena correlación


r8-2= 0.1519 r8-5= -0.1080No existe buena correlación No existe buena correlación

Por los resultados obtenidos, ninguna de las estaciones tiene una adecuada correlación con laestación 8; sin embargo, la estación que mejor se adecúa es la número 1.

HIDROLOGÍA GENERAL

• ESTACIÓN 8

ė4=

• ESTACIÓN 1

ė1=

• ESTACIÓN 2

ė2=

• ESTACIÓN 3

ė3=

• ESTACIÓN 5

ė5=

• CORRELACIÓN: ESTACIÓN 8 - ESTACIÓN 1 • CORRELACIÓN: ESTACIÓN 8 - ESTACIÓN 3


500 600 700 800 900 1000 1100 1200 1300 1400200

300

400

500

600

700

800

900


PRECIPITACIÓN MEDIA ESTACIÓN 1

PREC

ITAC

IÓN

MED

IA E

STAC

IÓN

8


DETERMINACIÓN DE LA RECTA DE APROXIMACIÓN

Donde todos los datos necesarios ya han sido determinados:

Finalmente el valor que falta en la estación 8 se determinará evaluando 513.35 en la ecuación calaculada

E8 para el año 1996 será: 921.96

AÑO ESTACIÓN 8 ESTACIÓN 11975 707.12 754.661976 998.27 568.711977 797.1 691.641978 867.34 540.291979 1189.24 641.341980 1207.52 356.311981 1303.21 416.61982 915.22 498.091983 821.72 532.631984 962.74 737.871985 912.44 142.241986 1242.4 343.171987 908.3 701.61988 1070.09 275.341989 1072.08 354.871990 825.74 244.871991 780.52 545.341992 943.12 432.851993 877.1 641.361994 744.22 566.441995 1115.85 320.31996 921.96 226.081997 1326.93 368.311998 966.75 638.821999 968.87 483.342000 781.95 365.732001 1235.11 236.72002 1293.34 314.922003 1042.1 436.082004 1170.44 494.542005 636.52 403.872006 1201.16 453.112007 620.49 786.152008 1147.01 358.152009 1057.15 328.162010 1040.6 289.242011 696.22 448.81 HIDROLOGÍA GENERAL

500 600 700 800 900 1000 1100 1200 1300 1400200

300

400

500

600

700

800

900

f(x) = − 0.348760756670433 x + 800.601047737796R² = 0.17286517521102


PRECIPITACIÓN MEDIA DE LA ESTACIÓN 1

PREC

IPIT

ACIÓ

N M

EDIA

DE

LA E

STAC

IÓN

8

DETERMINACIÓN DE LA CORRELACIÓN ENTRE ESTACIONE COMPLETAS PARA LA SELECCIÓN DE ESTACIONES BASES(E1-PE1)(E2-PE2) (E1-PE1)(E3-PE3) (E1-PE1)(E5-PE5) (E1-PE1)(E6-PE6) (E1-PE1)(E7-PE7) (E2-PE2)(E3-PE3) (E2-PE2)(E5-PE5) (E2-PE2)(E6-PE6)

-23990.212 -36015.285 25480.138 -15217.782 35244.808 9804.197 -6936.285 4142.634-10401.617 -26809.623 17688.408 -5349.520 20122.145 22669.155 -14956.618 4523.343-9625.564 -40782.026 45311.923 -14313.968 19800.467 7178.775 -7976.164 2519.6589634.830 11532.366 38.080 6810.352 4866.576 16328.262 53.916 9642.532

52261.222 26402.501 1108.891 -5264.378 40994.925 40959.460 1720.275 -8166.881-8504.429 -77141.111 -12190.916 5616.571 12881.419 63694.326 10065.867 -4637.524661.341 -1532.570 -1724.620 1924.453 3199.668 -597.161 -671.992 749.856

-4186.839 -5195.237 -759.034 -3088.461 320.506 13398.504 1957.547 7965.133-5079.043 -16109.061 -5095.182 -8495.078 -10087.744 14610.957 4621.342 7705.0568096.121 54017.466 -21635.099 100175.509 -18270.603 5575.350 -2233.042 10339.500

69896.974 52559.358 11236.513 24125.100 62015.185 36893.490 7887.352 16934.361-10012.455 4502.592 -27710.385 13009.392 18539.424 -3431.002 21115.477 -9913.234-29178.869 -75834.578 -19891.401 -20733.440 -1349.542 37227.305 9764.718 10178.076-35212.097 21442.477 -8289.368 10420.577 -7934.117 -22679.867 8767.726 -11021.922-4179.632 -4872.617 -3501.781 597.206 11180.607 1922.349 1381.526 -235.610

-11663.626 36483.102 -8049.028 -981.138 -8124.186 -9385.542 2070.671 252.40531392.286 43898.757 -9405.359 36288.551 28047.074 179822.201 -38527.112 148648.5624195.092 5403.012 -258.004 2147.837 -3455.178 36416.831 -1738.972 14476.630-4758.420 -27350.722 21855.177 -10856.247 22621.175 3862.483 -3086.399 1533.125-1989.527 -24688.870 3277.902 2900.504 -1207.599 4161.562 -552.524 -488.9109918.110 10815.601 -9356.969 -1154.687 2020.590 5673.958 -4908.747 -605.759

31850.280 56305.183 -9999.012 -10834.638 31830.052 33399.632 -5931.307 -6426.991-13065.022 20725.446 18617.856 -94.664 19247.586 -33812.974 -30374.501 154.44117656.386 103745.456 9377.228 13704.776 -3615.986 55899.600 5052.590 7384.3382537.518 6405.140 -2017.513 -485.607 -2676.417 24913.322 -7847.282 -1888.807-1521.637 20150.026 8442.496 8088.382 3876.565 -3617.164 -1515.526 -1451.95935506.743 43061.068 43155.781 3991.299 28812.490 31277.035 31345.829 2899.0462839.374 16215.236 27922.437 -5337.617 4675.744 2255.353 3883.690 -742.4012273.727 352.268 1894.653 1914.064 -601.040 1698.116 9133.222 9226.794399.285 7086.041 -2521.536 2053.425 3967.558 2095.867 -745.805 607.350

-2779.848 -8524.416 2483.841 2177.194 -9178.812 8148.081 -2374.185 -2081.076-0.878 203.276 138.479 -239.177 189.144 -8.121 -5.532 9.556

-22949.401 -50273.958 -1940.027 -9838.133 3662.632 10701.272 412.953 2094.136-7084.711 1204.746 -1435.094 2630.926 -11092.289 -859.566 1023.916 -1877.12216107.885 -9130.412 -4831.823 -4480.013 -957.325 -8751.118 -4631.100 -4293.905-1747.492 -104819.545 -11157.135 -22778.578 4363.195 6447.007 686.228 1401.014952.494 937.999 103.169 516.027 1106.844 11059.311 1216.395 6084.122

88248.348 34369.089 76363.684 99549.017 305035.542 604951.246 -12851.853 215639.567

CORRELACIÓN DE LA ESTACIÓN 4 CON LAS DEMÁS ESTACIONES: E1, E2, E3, E5(E2-PE2) (E3-PE3) (E5-PE5) (E4-PE4)(E1-PE1)

85786.342 -81.365 6620.218 -124.473 15493.403 80.403 6464.651 -16644.95011436.817 -94.335 8899.040 -244.873 59962.541 154.053 23732.344 6225.21552841.622 -41.715 1740.118 -177.553 31524.890 188.343 35473.107 -8158.0676165.870 116.245 13512.965 136.648 18672.539 -4.967 24.671 18553.471

32246.482 284.185 80761.272 140.698 19795.787 0.613 0.376 -6243.65511121.167 83.245 6929.776 756.948 572969.518 114.693 13154.497 8674.8302040.053 -16.605 275.717 34.048 1159.232 36.433 1327.368 973.7741319.364 -104.465 10912.878 -132.092 17448.429 -24.267 588.885 7687.0685021.573 -68.425 4681.943 -218.423 47708.389 -73.517 5404.741 -8402.193

76232.897 28.355 804.022 189.717 35992.730 -82.677 6835.477 122103.969102097.468 -222.055 49308.300 -169.712 28802.333 -41.037 1684.031 24660.91214065.235 86.795 7533.420 -42.433 1800.517 236.313 55843.860 12612.71957519.895 -120.235 14456.388 -314.203 98723.211 -87.017 7571.949 -14852.72834755.006 192.435 37031.336 -120.673 14561.852 40.003 1600.244 -5786.79611426.957 40.055 1604.425 44.188 1952.535 28.593 817.563 -1226.16747044.285 54.225 2940.381 -174.493 30447.633 32.373 1048.015 -11137.7796984.456 358.045 128196.421 498.308 248310.365 -112.867 12738.947 15501.177836.190 -168.705 28461.283 -219.722 48277.977 4.913 24.138 -3922.889

32253.666 -26.475 700.911 -152.152 23150.383 113.633 12912.471 -10944.30110956.449 -18.865 355.878 -230.402 53085.312 24.743 612.219 -5709.85720012.896 -72.685 5283.069 -81.813 6693.285 62.623 3921.647 209.29255548.336 -138.005 19045.303 -246.142 60586.130 37.723 1423.029 32378.5418734.200 145.445 21154.329 -234.753 55108.736 -213.477 45572.406 15661.463

31347.784 96.985 9406.144 569.958 324851.552 46.373 2150.460 2974.590465.397 98.795 9760.507 247.617 61314.426 -84.417 7126.221 313.468

9223.095 15.975 255.210 -222.013 49289.550 -97.127 9433.643 13116.67350655.129 -161.145 25967.622 -197.913 39169.358 -200.617 40247.158 19486.171

659.819 -105.245 11076.452 -19.372 375.294 -92.667 8587.163 -3387.6091074.073 10.315 106.405 189.707 35988.936 -74.057 5484.431 -2629.3643352.056 50.995 2600.518 154.918 23999.432 -51.487 2650.905 2778.442

74.943 -0.365 0.133 -46.512 2163.413 -34.967 1222.687 734.191105224.367 -70.445 4962.459 -156.263 24417.969 -11.337 128.526 20027.59010736.471 70.545 4976.636 -15.242 232.334 8.973 80.516 10419.66217850.816 -124.805 15576.219 67.278 4526.262 31.843 1013.980 -2342.20429765.547 9.815 96.340 618.708 382798.971 60.763 3692.149 1526.768

167.882 -106.525 11347.516 -107.512 11558.938 -16.907 285.845 562.195947044.604 SUMA: 547341.552 SUMA: 2452914.159 SUMA: 320880.319 235793.623

(E1-PE1)² (E2-PE2)² (E3-PE3)² (E5-PE5)²

CORRELACIÓN DE LA ESTACIÓN 8 CON LAS DEMÁS ESTACIONES: E1, E2, E3, E5(E2-PE2) (E3-PE3) (E5-PE5) (E8-PE8)(E1-PE1)

84346.842 -84.631 7162.378 -128.070 16401.854 87.030 7574.269 -80590.27210915.084 -97.601 9525.923 -248.470 61737.203 160.680 25818.152 1427.07451713.160 -44.981 2023.275 -181.150 32815.222 194.970 38013.409 -42640.8905784.405 112.979 12764.292 133.050 17702.376 1.660 2.757 -8919.045

31366.279 280.919 78915.578 137.100 18796.486 7.240 52.422 36240.95511647.746 79.979 6396.667 753.350 567536.641 121.320 14718.610 -24057.4402269.067 -19.871 394.850 30.450 927.219 43.060 1854.188 -15176.3961146.180 -107.731 11605.932 -135.690 18411.701 -17.640 311.160 -2349.2374677.914 -71.691 5139.576 -222.020 49292.757 -66.890 4474.235 -11140.945

74876.265 25.089 629.466 186.120 34640.758 -76.050 5783.560 -5984.556103680.601 -225.321 50769.478 -173.310 30036.260 -34.410 1184.029 23238.53814656.667 83.529 6977.122 -46.030 2118.735 242.940 59019.979 -31209.20756342.275 -123.501 15252.456 -317.800 100996.663 -80.390 6462.507 -18113.47635681.216 189.169 35784.974 -124.270 15442.964 46.630 2174.383 -16146.61611960.642 36.789 1353.443 40.590 1647.571 35.220 1240.468 -9566.07148120.881 50.959 2596.837 -178.090 31715.949 39.000 1521.022 34850.5956578.066 354.779 125868.257 494.710 244738.259 -106.240 11286.879 -16552.821985.001 -171.971 29573.968 -223.320 49871.698 11.540 133.178 1302.170

31373.364 -29.741 884.517 -155.750 24257.976 120.260 14462.534 -19042.83710445.919 -22.131 489.774 -234.000 54755.870 31.370 984.094 -24569.18420717.204 -75.951 5768.529 -85.410 7294.821 69.250 4795.601 -18889.913

9201.552 142.179 20214.915 -238.350 56810.590 -206.850 42786.808 -32836.89830480.019 93.719 8783.282 566.360 320763.964 53.000 2809.029 -3118.190

365.012 95.529 9125.822 244.020 59545.896 -77.790 6051.241 -300.7289703.180 12.709 161.523 -225.610 50899.747 -90.500 8190.200 19963.022

51772.050 -164.411 27030.922 -201.510 40606.168 -193.990 37632.012 -56997.32222294.886 -23.691 561.256 -120.240 14457.591 -194.230 37725.185 -46097.851

792.688 -108.511 11774.601 -22.970 527.608 -86.040 7402.834 -1618.599918.410 7.049 49.691 186.110 34637.035 -67.430 4546.767 5631.613

3643.900 47.729 2278.073 151.320 22897.826 -44.860 2012.395 21012.390123.759 -3.631 13.183 -50.110 2510.984 -28.340 803.140 -2409.052

103629.446 -73.711 5433.287 -159.860 25555.131 -4.710 22.181 -117215.97011253.968 67.279 4526.486 -18.840 354.935 15.600 243.369 -17228.10018516.330 -128.071 16402.138 63.680 4055.178 38.470 1479.962 -9870.78530623.153 6.549 42.892 615.110 378360.654 67.390 4541.450 -9797.857

237.922 -109.791 12054.027 -111.110 12345.370 -10.280 105.673 4448.344912841.055 SUMA: 528329.389 SUMA: 2405467.661 SUMA: 358219.680 -494325.556

(E1-PE1)² (E2-PE2)² (E3-PE3)² (E5-PE5)²

DETERMINACIÓN DE LA CORRELACIÓN ENTRE ESTACIONE COMPLETAS PARA LA SELECCIÓN DE ESTACIONES BASES(E2-PE2)(E7-PE7) (E3-PE3)(E5-PE5) (E3-PE3)(E6-PE6) (E3-PE3)(E7-PE7) (E5-PE5)(E6-PE6) (E5-PE5)(E7-PE7) (E6-PE6)(E7-PE7)

-9594.455 -10413.0923351 6219.12551351 -14403.6678162 -4399.91450621 10190.3244804 -6086.07942075-17014.489 -38549.8975784 11658.6782378 -43853.9530054 -7692.14343594 28933.888548 -8750.50046669-3485.435 -33793.7708108 10675.4010811 -14767.2492973 -11861.1799251 16407.5335047 -5183.115015346890.409 64.5347027027 11541.5857297 8247.44432432 38.1104829803 27.2331804237 4870.46617385

63597.384 869.08727027 -4125.92902703 32129.5584324 -173.286771074 1349.42394799 -6406.29270183-10636.006 91304.4445946 -42065.5774595 -96476.0006486 -6647.79026297 -15246.4855223 7024.326368441246.740 1557.25232432 -1737.69243243 -2889.15308108 -1955.44685756 -3251.19981417 3627.91901169-826.583 2429.02050811 9883.52978919 -1025.66542703 1444.00243433 -149.85166282 -609.7368747999149.607 14657.3852135 24437.9158486 29019.5596216 7729.53993163 9178.68145069 15303.4010928-1885.779 -14898.8947378 68985.3245838 -12581.9526405 -27630.0329549 5039.32928042 -23333.258755943530.908 5930.9315027 12733.8721297 32733.2715243 2722.33751812 6997.95099664 15024.792163-14127.151 -9495.6108973 4457.97212973 6352.96672432 -27435.7793224 -39098.1791763 18355.7008576

662.492 25378.0650946 26452.3645405 1721.78785135 6938.4521046 451.624750694 470.742844128391.974 -5339.12417297 6711.8212973 -5110.30955676 -2594.69814134 1975.57564799 -2483.49921804-4410.984 1610.58356757 -274.674356757 -5142.32669189 -197.398965668 -3695.6124412 630.2622170932090.006 -6476.92984865 -789.506935135 -6537.40823784 174.18374244 1442.30554799 175.81018466

114889.050 -53876.0492216 207869.129562 160660.058805 -44536.19869 -34421.6013007 132808.333274-23288.240 -2239.68499459 18644.9795595 -29993.7743514 -890.332565668 1432.25869394 -11923.2990964-3194.574 -17740.1816216 8812.18216216 -18361.9545946 -7041.56173324 14672.5106723 -7288.3603775203.553 -6856.50101351 -6067.08364865 2525.97587838 805.517061359 -335.369806063 -296.757291015

1060.019 -5352.94055676 -660.573924324 1155.94058919 571.48648298 -1000.04616822 -123.40963155618881.246 -10485.4125378 -11361.6870162 33378.4198595 2017.67652622 -5927.53999795 -6422.90935047-31401.888 48184.0044324 -244.995243243 49813.7798919 -220.081446749 44748.1698075 -227.525480205-1948.347 29688.0273676 43388.9189432 -11448.1045919 3921.78876947 -1034.75839255 -1512.29475318

-10410.147 -19807.9156459 -4767.67990541 -26277.0361135 1501.73985866 8276.82925069 1992.1971198-695.889 20069.1070919 19227.3242108 9215.18902703 8055.9008073 3860.99739664 3699.05090358

20927.703 38014.888573 3515.8391027 25380.2283568 3523.57225866 25436.0526588 2352.47483061650.342 22179.1666622 -4239.74101622 3714.00625946 -7300.78166837 6395.47291015 -1222.55038831

-2897.328 1415.0064973 1429.50367027 -448.881924324 7688.50691001 -2414.28675471 -2439.021858581173.501 -13235.6690541 10778.5284054 20825.9089135 -3835.49168188 -7410.80761687 6035.025511698773.587 -7280.44787027 -6381.62767297 26904.2402676 1859.47632082 -7839.34761958 -6871.52749372

-7.557 1280.78408649 -2212.13344865 1749.37677838 -1506.9841981 1191.73785069 -2058.33535047-779.625 904.631813514 4587.50664865 -1707.87997838 177.027791088 -65.9055655223 -334.2157720967914.167 -174.115605405 319.202140541 -1345.79344865 -380.233949452 1603.11067232 -2938.9459775-917.556 2625.04031081 2433.90851892 520.096997297 1288.02665595 275.235815559 255.195622498-268.362 41161.9218216 84036.8158378 -16097.0982054 8944.99262893 -1713.39696012 -3498.09771804

13050.051 1197.88356757 5991.53324324 12851.4545081 658.998520818 1413.5095588 7070.04398466185292.346 94505.529 519864.061 150431.055 -96238.000 67695.368 119686.009

CORRELACIÓN DE LA ESTACIÓN 4 CON LAS DEMÁS ESTACIONES: E1, E2, E3, E5(E4-PE4)(E2-PE2) (E4-PE4)(E3-PE3) (E4-PE4)(E5-PE5)

4623.912 7073.703 -4569.261-5491.277 -14254.164 8967.5141480.432 6301.240 -6684.190

27466.499 32287.147 -1173.592-9880.964 -4891.974 -21.316-6847.710 -62266.081 -9434.587357.989 -734.045 -785.476

-22107.927 -27954.809 -5135.6278113.081 25898.234 8716.863

12539.854 83900.773 -36563.09817138.060 13098.316 3167.209-9230.630 4512.673 -25131.7627446.070 19458.386 5388.9115973.298 -3745.741 1241.717459.456 506.855 327.978

2784.498 -8960.287 1662.37466410.437 92426.352 -20934.624-22886.576 -29807.676 666.5081613.355 9272.089 -6924.7351029.060 12568.328 -1349.720107.533 121.037 -92.647

18959.012 33814.920 -5182.372-24373.639 39339.694 35774.3481629.407 9575.603 779.0931435.550 3598.020 -1226.625-2181.895 30322.344 13265.54413951.821 17135.154 17369.304

-13879.732 -2554.856 -12220.968-827.589 -15220.127 5941.548

-2447.235 -7434.405 2470.83030.932 3944.699 2965.527

-4349.296 -9647.734 -699.949-7093.994 1532.777 -902.325-2187.896 1179.412 558.226

-86.860 -5475.218 -537.7194622.049 4664.908 733.583

64299.083 259585.547 -29573.519

CORRELACIÓN DE LA ESTACIÓN 8 CON LAS DEMÁS ESTACIONES: E1, E2, E3, E5(E8-PE8)(E2-PE2) (E8-PE8)(E3-PE3) (E8-PE8)(E5-PE5)

23484.257 35538.138 -24150.080-1333.173 -3393.958 2194.8038434.381 33967.485 -36558.985

-13249.130 -15602.880 -194.70257484.333 28054.754 1481.57417828.112 167928.892 27043.436-6330.836 9701.442 13718.9817475.502 9415.585 1224.030

11677.760 36164.916 10895.704-548.714 -4070.554 1663.250

16261.530 12507.859 2483.36921532.937 -11865.977 62627.4399424.417 24251.473 6134.584

16170.075 -10622.507 3985.9303217.928 3550.409 3080.698-8095.911 28293.213 -6195.996

-72407.077 -100965.695 21682.5247135.165 9265.659 -478.8133197.454 16744.739 -12929.2495320.043 56251.323 -7541.119-9967.745 -11209.124 9088.368

48670.693 -81591.744 -70808.682-1673.876 -10115.509 -946.614-1503.682 -3841.015 1224.453-2575.647 45722.192 18340.724

-41184.822 -50478.073 -48594.318-7314.058 -37121.543 -59964.434-6238.228 -1320.517 -4946.3761309.943 34584.770 -12530.428

-16614.072 -52673.160 15615.246-786.255 -10851.233 -6136.951

26839.630 58208.211 1714.90710926.099 -3059.560 2533.476-9290.187 4619.332 2790.613366.684 34439.683 3773.144

31662.639 32042.995 2964.575129306.169 272470.020 -75714.918


MÉTODO DE DOBLE MASA

EL método de doble masa también puede ser utilizado para la selección de las estaciones o la estación base aescoger. Según el libro "HIDROLOGÍA GENERAL" de Wendor Chereque Morán, para tener un patrón de estacionesbases, es necesario que las estaciones tomadas guarden relación entre sí

Se hará doble masa comparando cada estación con las demás y ver cuáles de ellas tienen valores semejantes. El criterio de selección es escoger las estaciones cuyas gráficas no presenten más de 05 puntos consecutivos in-termedios con una pendiente diferente, ya que ello se debe a variaciones naturales en el registro de precipitación

DOBLE MASA PARA SELECCIÓN DE ESTACIONES BASESAÑO N ESTACIÓN 1 ESTACIÓN2 ESTACIÓN 5 ESTACIÓN 7 E1 ACUM. E2 ACUM. E5 ACUM. E7 ACUM. P. E1, E2, E5

1975 1 754.66 332.99 543.33 424.24 754.66 332.99 543.33 424.24 543.661976 2 568.71 320.02 616.98 486.94 1323.37 653.01 1160.31 911.18 501.901977 3 691.64 372.64 651.27 390.19 2015.01 1025.65 1811.58 1301.37 571.851978 4 540.29 530.6 457.96 364.51 2555.3 1556.25 2269.54 1665.88 509.621979 5 641.34 698.54 463.54 528.87 3196.64 2254.79 2733.08 2194.75 601.141980 6 356.31 497.6 577.62 178.59 3552.95 2752.39 3310.7 2373.34 477.181981 7 416.6 397.75 499.36 227.85 3969.55 3150.14 3810.06 2601.19 437.901982 8 498.09 309.89 438.66 313.47 4467.64 3460.03 4248.72 2914.66 415.551983 9 532.63 345.93 389.41 170.71 5000.27 3805.96 4638.13 3085.37 422.661984 10 737.87 442.71 380.25 240.28 5738.14 4248.67 5018.38 3325.65 520.281985 11 142.24 192.3 421.89 108.99 5880.38 4440.97 5440.27 3434.64 252.141986 12 343.17 501.15 699.24 143.78 6223.55 4942.12 6139.51 3578.42 514.521987 13 701.6 294.12 375.91 299.98 6925.15 5236.24 6515.42 3878.4 457.211988 14 275.34 606.79 502.93 349 7200.49 5843.03 7018.35 4227.4 461.691989 15 354.87 454.41 491.52 196.89 7555.36 6297.44 7509.87 4424.29 433.601990 16 244.87 468.58 495.3 343.67 7800.23 6766.02 8005.17 4767.96 402.921991 17 545.34 772.4 350.06 625.9 8345.57 7538.42 8355.23 5393.86 555.931992 18 432.85 245.65 467.84 444.01 8778.42 7784.07 8823.07 5837.87 382.111993 19 641.36 387.88 576.56 428.75 9419.78 8171.95 9399.63 6266.62 535.271994 20 566.44 395.49 487.67 294.4 9986.22 8567.44 9887.3 6561.02 483.201995 21 320.3 341.67 525.55 290.82 10306.52 8909.11 10412.85 6851.84 395.841996 22 226.08 276.35 500.65 168.15 10532.6 9185.46 10913.5 7019.99 334.361997 23 368.31 559.8 249.45 90.43 10900.91 9745.26 11162.95 7110.42 392.521998 24 638.82 511.34 509.3 285.54 11539.73 10256.6 11672.25 7395.96 553.151999 25 483.34 513.15 378.51 200.73 12023.07 10769.75 12050.76 7596.69 458.332000 26 365.73 430.33 365.8 263.41 12388.8 11200.08 12416.56 7860.1 387.292001 27 236.7 253.21 262.31 175.2 12625.5 11453.29 12678.87 8035.3 250.742002 28 314.92 393.93 262.07 272.79 12940.42 11847.22 12940.94 8308.09 323.642003 29 436.08 309.11 370.26 333.19 13376.5 12156.33 13311.2 8641.28 371.822004 30 494.54 424.67 388.87 413.5 13871.04 12581 13700.07 9054.78 436.032005 31 403.87 465.35 411.44 475.72 14274.91 13046.35 14111.51 9530.5 426.892006 32 453.11 413.99 427.96 265.17 14728.02 13460.34 14539.47 9795.67 431.692007 33 786.15 343.91 451.59 316.67 15514.17 13804.25 14991.06 10112.34 527.222008 34 358.15 484.9 471.9 416.83 15872.32 14289.15 15462.96 10529.17 438.322009 35 328.16 289.55 494.77 312.9 16200.48 14578.7 15957.73 10842.07 370.832010 36 289.24 424.17 523.69 279.63 16489.72 15002.87 16481.42 11121.7 412.372011 37 448.81 307.83 446.02 182.37 16938.53 15310.7 16927.44 11304.07 400.89

A HIDROLOGÍA GENERAL


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El objetivo de realizar esto es verificar la consistencia de los datos completos que se están pensando en usarcomo patrón. Pues aquellas estaciones del patrón que no cumplen las condiciones iniciales que se pusierondeben ser quitadas para ser corregidas.

Es por ello que con ayuda de las gráficas se puede apreciar los puntos que se alejan y las variaciones de pendiente presentes en cada gráfica. Las llaves dibujadas muestran las zonas en las que los datos sufren variacionesde pendiente, siendo E7 la que tiene variaciones más significativas.

E7 necesita salir del patrón para ser corregida junto con las estaciones E4 y E8, que fueron completadas pero nose verificó si son consistentes o no.

DOBLE MASA PARA VERIFICAR LOS DATOS DE LA ESTACIÓN 4AÑO N ESTACIÓN 1 ESTACIÓN 2 ESTACIÓN 5 ESTACIÓN 4 P(E1,E3,E5) P. ACUM. E4 ACUM.

1975 1 754.66 332.99 543.33 236.75 543.66 543.66 236.751976 2 568.71 320.02 616.98 351.79 501.90333 1045.5633 588.541977 3 691.64 372.64 651.27 258.09 571.85 1617.4133 846.631978 4 540.29 530.6 457.96 529.86 509.61667 2127.03 1376.491979 5 641.34 698.54 463.54 258.81 601.14 2728.17 1635.31980 6 356.31 497.6 577.62 211.32 477.17667 3205.3467 1846.621981 7 416.6 397.75 499.36 272.02 437.90333 3643.25 2118.641982 8 498.09 309.89 438.66 505.21 415.54667 4058.7967 2623.851983 9 532.63 345.93 389.41 175.01 422.65667 4481.4533 2798.861984 10 737.87 442.71 380.25 735.82 520.27667 5001.73 3534.681985 11 142.24 192.3 421.89 216.4 252.14333 5253.8733 3751.081986 12 343.17 501.15 699.24 187.23 514.52 5768.3933 3938.311987 13 701.6 294.12 375.91 231.65 457.21 6225.6033 4169.961988 14 275.34 606.79 502.93 324.62 461.68667 6687.29 4494.581989 15 354.87 454.41 491.52 305.05 433.6 7120.89 4799.631990 16 244.87 468.58 495.3 344.93 402.91667 7523.8067 5144.561991 17 545.34 772.4 350.06 479.06 555.93333 8079.74 5623.621992 18 432.85 245.65 467.84 429.24 382.11333 8461.8533 6052.861993 19 641.36 387.88 576.56 232.64 535.26667 8997.12 6285.51994 20 566.44 395.49 487.67 239.03 483.2 9480.32 6524.531995 21 320.3 341.67 525.55 292.1 395.84 9876.16 6816.631996 22 226.08 276.35 500.65 156.2 334.36 10210.52 6972.831997 23 368.31 559.8 249.45 126 392.52 10603.04 7098.831998 24 638.82 511.34 509.3 310.38 553.15333 11156.193 7409.211999 25 483.34 513.15 378.51 308.11 458.33333 11614.527 7717.322000 26 365.73 430.33 365.8 157 387.28667 12001.813 7874.322001 27 236.7 253.21 262.31 207 250.74 12252.553 8081.322002 28 314.92 393.93 262.07 281.22604 323.64 12576.193 8362.5462003 29 436.08 309.11 370.26 425.46 371.81667 12948.01 8788.0062004 30 494.54 424.67 388.87 213.35 436.02667 13384.037 9001.3562005 31 403.87 465.35 411.44 245.59 426.88667 13810.923 9246.9462006 32 453.11 413.99 427.96 208.77 431.68667 14242.61 9455.7162007 33 786.15 343.91 451.59 355.32 527.21667 14769.827 9811.0362008 34 358.15 484.9 471.9 193.02 438.31667 15208.143 10004.0562009 35 328.16 289.55 494.77 311.11 370.82667 15578.97 10315.1662010 36 289.24 424.17 523.69 284.73 412.36667 15991.337 10599.8962011 37 448.81 307.83 446.02 250.19 400.88667 16392.223 10850.086

HIDROLOGÍA GENERAL



1975 1 754.66 332.99 543.33 424.24 543.66 543.66 424.241976 2 568.71 320.02 616.98 486.94 501.90333 1045.5633 911.181977 3 691.64 372.64 651.27 390.19 571.85 1617.4133 1301.371978 4 540.29 530.6 457.96 364.51 509.61667 2127.03 1665.881979 5 641.34 698.54 463.54 528.87 601.14 2728.17 2194.751980 6 356.31 497.6 577.62 178.59 477.17667 3205.3467 2373.341981 7 416.6 397.75 499.36 227.85 437.90333 3643.25 2601.191982 8 498.09 309.89 438.66 313.47 415.54667 4058.7967 2914.661983 9 532.63 345.93 389.41 170.71 422.65667 4481.4533 3085.371984 10 737.87 442.71 380.25 240.28 520.27667 5001.73 3325.651985 11 142.24 192.3 421.89 108.99 252.14333 5253.8733 3434.641986 12 343.17 501.15 699.24 143.78 514.52 5768.3933 3578.421987 13 701.6 294.12 375.91 299.98 457.21 6225.6033 3878.41988 14 275.34 606.79 502.93 349 461.68667 6687.29 4227.41989 15 354.87 454.41 491.52 196.89 433.6 7120.89 4424.291990 16 244.87 468.58 495.3 343.67 402.91667 7523.8067 4767.961991 17 545.34 772.4 350.06 625.9 555.93333 8079.74 5393.861992 18 432.85 245.65 467.84 444.01 382.11333 8461.8533 5837.871993 19 641.36 387.88 576.56 428.75 535.26667 8997.12 6266.621994 20 566.44 395.49 487.67 294.4 483.2 9480.32 6561.021995 21 320.3 341.67 525.55 290.82 395.84 9876.16 6851.841996 22 226.08 276.35 500.65 168.15 334.36 10210.52 7019.991997 23 368.31 559.8 249.45 90.43 392.52 10603.04 7110.421998 24 638.82 511.34 509.3 285.54 553.15333 11156.193 7395.961999 25 483.34 513.15 378.51 200.73 458.33333 11614.527 7596.692000 26 365.73 430.33 365.8 263.41 387.28667 12001.813 7860.12001 27 236.7 253.21 262.31 175.2 250.74 12252.553 8035.32002 28 314.92 393.93 262.07 272.79 323.64 12576.193 8308.092003 29 436.08 309.11 370.26 333.19 371.81667 12948.01 8641.282004 30 494.54 424.67 388.87 413.5 436.02667 13384.037 9054.782005 31 403.87 465.35 411.44 475.72 426.88667 13810.923 9530.52006 32 453.11 413.99 427.96 265.17 431.68667 14242.61 9795.672007 33 786.15 343.91 451.59 316.67 527.21667 14769.827 10112.342008 34 358.15 484.9 471.9 416.83 438.31667 15208.143 10529.172009 35 328.16 289.55 494.77 312.9 370.82667 15578.97 10842.072010 36 289.24 424.17 523.69 279.63 412.36667 15991.337 11121.72011 37 448.81 307.83 446.02 182.37 400.88667 16392.223 11304.07

HIDROLOGÍA GENERAL

0 2000 4000 6000 8000 10000 12000 14000 16000 180000

2000

4000

6000

8000

10000

12000

f(x) = 0.672924257018004 x − 45.4316278870228

Verificación por doble masa para E4

PROMEDIO ACUMULADO E1, E2, E5,

ESTA

CIÓ

N 1

ACU

MUL

ADA



1975 1 754.66 332.99 543.33 707.12 543.66 543.66 707.121976 2 568.71 320.02 616.98 998.27 501.90333 1045.5633 1705.391977 3 691.64 372.64 651.27 797.1 571.85 1617.4133 2502.491978 4 540.29 530.6 457.96 867.34 509.61667 2127.03 3369.831979 5 641.34 698.54 463.54 1189.24 601.14 2728.17 4559.071980 6 356.31 497.6 577.62 1207.52 477.17667 3205.3467 5766.591981 7 416.6 397.75 499.36 1303.21 437.90333 3643.25 7069.81982 8 498.09 309.89 438.66 915.22 415.54667 4058.7967 7985.021983 9 532.63 345.93 389.41 821.72 422.65667 4481.4533 8806.741984 10 737.87 442.71 380.25 962.74 520.27667 5001.73 9769.481985 11 142.24 192.3 421.89 912.44 252.14333 5253.8733 10681.921986 12 343.17 501.15 699.24 1242.4 514.52 5768.3933 11924.321987 13 701.6 294.12 375.91 908.3 457.21 6225.6033 12832.621988 14 275.34 606.79 502.93 1070.09 461.68667 6687.29 13902.711989 15 354.87 454.41 491.52 1072.08 433.6 7120.89 14974.791990 16 244.87 468.58 495.3 825.74 402.91667 7523.8067 15800.531991 17 545.34 772.4 350.06 780.52 555.93333 8079.74 16581.051992 18 432.85 245.65 467.84 943.12 382.11333 8461.8533 17524.171993 19 641.36 387.88 576.56 877.1 535.26667 8997.12 18401.271994 20 566.44 395.49 487.67 744.22 483.2 9480.32 19145.491995 21 320.3 341.67 525.55 1115.85 395.84 9876.16 20261.341996 22 226.08 276.35 500.65 921.95568 334.36 10210.52 21183.2961997 23 368.31 559.8 249.45 1326.93 392.52 10603.04 22510.2261998 24 638.82 511.34 509.3 966.75 553.15333 11156.193 23476.9761999 25 483.34 513.15 378.51 968.87 458.33333 11614.527 24445.8462000 26 365.73 430.33 365.8 781.95 387.28667 12001.813 25227.7962001 27 236.7 253.21 262.31 1235.11 250.74 12252.553 26462.9062002 28 314.92 393.93 262.07 1293.34 323.64 12576.193 27756.2462003 29 436.08 309.11 370.26 1042.1 371.81667 12948.01 28798.3462004 30 494.54 424.67 388.87 1170.44 436.02667 13384.037 29968.7862005 31 403.87 465.35 411.44 636.52 426.88667 13810.923 30605.3062006 32 453.11 413.99 427.96 1201.16 431.68667 14242.61 31806.4662007 33 786.15 343.91 451.59 620.49 527.21667 14769.827 32426.9562008 34 358.15 484.9 471.9 1147.01 438.31667 15208.143 33573.9662009 35 328.16 289.55 494.77 1057.15 370.82667 15578.97 34631.1162010 36 289.24 424.17 523.69 1040.6 412.36667 15991.337 35671.7162011 37 448.81 307.83 446.02 696.22 400.88667 16392.223 36367.936

HIDROLOGÍA GENERAL

0 2000 4000 6000 8000 10000 12000 14000 16000 180000

2000

4000

6000

8000

10000

12000

f(x) = 0.677042206852713 x + 12.5373311539806



ESTA

CIÓ

N 7

ACU

MUL

ADA


CORRECCIÓN DE DATOS

Los datos a corregir de cada estación son los resaltados en verde, para ello se hará uso de la ecuación de aproxi-mación que se encuentra en cada gráfico.

En la corrección se hará un proceso inverso en el para el cual el valor de "Y" viene a ser la precipitacion acumula-da de la estación a corregir y el valor de "X" es el valor que toma la precipitación acumulada de las estacionesbases.

Ecuación de Corrección: Y = 0.6729.X - 45.432

AÑO EST. 4 P. ACUM. E4 ACUM. NUEV E4 AC AÑO EST. 4 P. ACUM. E4 ACUM. NUEV E4 AC

1975 236.75 543.66 236.75 236.75 1994 239.03 9480.32 6524.53 6333.87531976 351.79 1045.5633 588.54 588.54 1995 292.1 9876.16 6816.63 6625.97531977 258.09 1617.4133 846.63 846.63 1996 156.2 10210.52 6972.83 6782.17531978 529.86 2127.03 1376.49 1376.49 1997 126 10603.04 7098.83 6908.17531979 258.81 2728.17 1635.3 1790.3536 1998 310.38 11156.193 7409.21 7218.55531980 211.32 3205.3467 1846.62 2111.4458 1999 308.11 11614.527 7717.32 7526.66531981 272.02 3643.25 2118.64 2406.1109 2000 157 12001.813 7874.32 7683.66531982 505.21 4058.7967 2623.85 2911.3209 2001 207 12252.553 8081.32 7890.66531983 175.01 4481.4533 2798.86 3086.3309 2002 281.22604 12576.193 8362.546 8171.89141984 735.82 5001.73 3534.68 3320.2321 2003 425.46 12948.01 8788.006 8597.35141985 216.4 5253.8733 3751.08 3489.8994 2004 213.35 13384.037 9001.356 8810.70141986 187.23 5768.3933 3938.31 3836.1199 2005 245.59 13810.923 9246.946 9056.29141987 231.65 6225.6033 4169.96 4067.7699 2006 208.77 14242.61 9455.716 9265.06141988 324.62 6687.29 4494.58 4392.3899 2007 355.32 14769.827 9811.036 9620.38141989 305.05 7120.89 4799.63 4697.4399 2008 193.02 15208.143 10004.056 9813.40141990 344.93 7523.8067 5144.56 5042.3699 2009 311.11 15578.97 10315.166 10124.5111991 479.06 8079.74 5623.62 5391.425 2010 284.73 15991.337 10599.896 10409.2411992 429.24 8461.8533 6052.86 5648.5491 2011 250.19 16392.223 10850.086 10659.4311993 232.64 8997.12 6285.5 6008.73

HIDROLOGÍA GENERAL

• ESTACIÓN 4:

0 2000 4000 6000 8000 10000 12000 14000 16000 180000

5000

10000

15000

20000

25000

30000

35000

40000

f(x) = 2.28878572431249 x − 1457.04702780939



ESTA

CIÓ

N 8

ACU

MUL

ADA


P. ACUM. NUEV E4 AC P. ACUM. NUEV E4 AC543.66 236.75 9480.32 6333.8753

1045.5633 588.54 9876.16 6625.97531617.4133 846.63 10210.52 6782.1753

2127.03 1376.49 10603.04 6908.17532728.17 1790.3536 11156.193 7218.5553

3205.3467 2111.4458 11614.527 7526.66533643.25 2406.1109 12001.813 7683.6653

4058.7967 2911.3209 12252.553 7890.66534481.4533 3086.3309 12576.193 8171.8914

5001.73 3320.2321 12948.01 8597.35145253.8733 3489.8994 13384.037 8810.70145768.3933 3836.1199 13810.923 9056.29146225.6033 4067.7699 14242.61 9265.0614

6687.29 4392.3899 14769.827 9620.38147120.89 4697.4399 15208.143 9813.4014

7523.8067 5042.3699 15578.97 10124.5118079.74 5391.425 15991.337 10409.241

8461.8533 5648.5491 16392.223 10659.4318997.12 6008.73

AÑO E4 ANTERIOR NUEV E4 AC NUEVO E4 AÑO E4 ANTERIOR NUEV E4 AC NUEVO E4

1975 236.75 236.75 236.75 1994 239.03 6333.8753 325.145281976 351.79 588.54 351.79 1995 292.1 6625.9753 292.11977 258.09 846.63 258.09 1996 156.2 6782.1753 156.21978 529.86 1376.49 529.86 1997 126 6908.1753 1261979 258.81 1790.3536 413.86359 1998 310.38 7218.5553 310.381980 211.32 2111.4458 321.09218 1999 308.11 7526.6653 308.111981 272.02 2406.1109 294.66515 2000 157 7683.6653 1571982 505.21 2911.3209 505.21 2001 207 7890.6653 2071983 175.01 3086.3309 175.01 2002 281.22604 8171.8914 281.226041984 735.82 3320.2321 233.90119 2003 425.46 8597.3514 425.461985 216.4 3489.8994 169.66725 2004 213.35 8810.7014 213.351986 187.23 3836.1199 346.22051 2005 245.59 9056.2914 245.591987 231.65 4067.7699 231.65 2006 208.77 9265.0614 208.771988 324.62 4392.3899 324.62 2007 355.32 9620.3814 355.321989 305.05 4697.4399 305.05 2008 193.02 9813.4014 193.021990 344.93 5042.3699 344.93 2009 311.11 10124.511 311.111991 479.06 5391.425 349.05517 2010 284.73 10409.241 284.731992 429.24 5648.5491 257.12406 2011 250.19 10659.431 250.191993 232.64 6008.73 360.18094

HIDROLOGÍA GENERAL

0 2000 4000 6000 8000 10000 12000 14000 16000 180000

2000

4000

6000

8000

10000

12000

f(x) = 0.65079264035508 x + 39.3275424239127

DOBLE MASA DE E4 CORREGIDA


NUE

VO E

4 AC

UMUL

ADO


Ecuación de Corrección: Y = 0.677.X + 12.537


1975 424.24 543.66 424.24 424.24 1994 294.4 9480.32 6561.02 6624.6071976 486.94 1045.5633 911.18 695.30938 1995 290.82 9876.16 6851.84 6915.4271977 390.19 1617.4133 1301.37 1082.4518 1996 168.15 10210.52 7019.99 7083.5771978 364.51 2127.03 1665.88 1427.4623 1997 90.43 10603.04 7110.42 7174.0071979 528.87 2728.17 2194.75 1834.4341 1998 285.54 11156.193 7395.96 7565.27991980 178.59 3205.3467 2373.34 2157.4827 1999 200.73 11614.527 7596.69 7875.57161981 227.85 3643.25 2601.19 2385.3327 2000 263.41 12001.813 7860.1 8137.76461982 313.47 4058.7967 2914.66 2698.8027 2001 175.2 12252.553 8035.3 8307.51561983 170.71 4481.4533 3085.37 2869.5127 2002 272.79 12576.193 8308.09 8526.61991984 240.28 5001.73 3325.65 3109.7927 2003 333.19 12948.01 8641.28 8859.80991985 108.99 5253.8733 3434.64 3544.3352 2004 413.5 13384.037 9054.78 9273.30991986 143.78 5768.3933 3578.42 3892.6653 2005 475.72 13810.923 9530.5 9749.02991987 299.98 6225.6033 3878.4 4202.1965 2006 265.17 14242.61 9795.67 10014.21988 349 6687.29 4227.4 4514.7583 2007 316.67 14769.827 10112.34 10330.871989 196.89 7120.89 4424.29 4808.3055 2008 416.83 15208.143 10529.17 10747.71990 343.67 7523.8067 4767.96 5081.0801 2009 312.9 15578.97 10842.07 11060.61991 625.9 8079.74 5393.86 5457.447 2010 279.63 15991.337 11121.7 11340.231992 444.01 8461.8533 5837.87 5901.457 2011 182.37 16392.223 11304.07 11522.61993 428.75 8997.12 6266.62 6330.207


1045.5633 695.30938 9876.16 6915.4271617.4133 1082.4518 10210.52 7083.577

2127.03 1427.4623 10603.04 7174.0072728.17 1834.4341 11156.193 7565.2799

3205.3467 2157.4827 11614.527 7875.57163643.25 2385.3327 12001.813 8137.7646

4058.7967 2698.8027 12252.553 8307.51564481.4533 2869.5127 12576.193 8526.6199

5001.73 3109.7927 12948.01 8859.80995253.8733 3544.3352 13384.037 9273.30995768.3933 3892.6653 13810.923 9749.02996225.6033 4202.1965 14242.61 10014.2

6687.29 4514.7583 14769.827 10330.877120.89 4808.3055 15208.143 10747.7

7523.8067 5081.0801 15578.97 11060.68079.74 5457.447 15991.337 11340.23

8461.8533 5901.457 16392.223 11522.68997.12 6330.207

HIDROLOGÍA GENERAL

• ESTACIÓN 7:

0 2000 4000 6000 8000 10000 12000 14000 16000 180000

2000

4000

6000

8000

10000

12000

14000

f(x) = 0.70736034571725 x − 165.717525534974



NUE

VO E

4 AC

UMUL

ADO



1975 424.24 424.24 424.24 1994 294.4 6624.607 294.41976 486.94 695.30938 271.06938 1995 290.82 6915.427 290.821977 390.19 1082.4518 387.14245 1996 168.15 7083.577 168.151978 364.51 1427.4623 345.01048 1997 90.43 7174.007 90.431979 528.87 1834.4341 406.97178 1998 285.54 7565.2799 391.272911980 178.59 2157.4827 323.0486 1999 200.73 7875.5716 310.291671981 227.85 2385.3327 227.85 2000 263.41 8137.7646 262.193071982 313.47 2698.8027 313.47 2001 175.2 8307.5156 169.750981983 170.71 2869.5127 170.71 2002 272.79 8526.6199 219.104281984 240.28 3109.7927 240.28 2003 333.19 8859.8099 333.191985 108.99 3544.3352 434.54255 2004 413.5 9273.3099 413.51986 143.78 3892.6653 348.33004 2005 475.72 9749.0299 475.721987 299.98 4202.1965 309.53117 2006 265.17 10014.2 265.171988 349 4514.7583 312.56187 2007 316.67 10330.87 316.671989 196.89 4808.3055 293.5472 2008 416.83 10747.7 416.831990 343.67 5081.0801 272.77458 2009 312.9 11060.6 312.91991 625.9 5457.447 376.36687 2010 279.63 11340.23 279.631992 444.01 5901.457 444.01 2011 182.37 11522.6 182.371993 428.75 6330.207 428.75

Requiere hacer primero la corrección a la parte extrema de amarillo, pues tiene diferente pen-diente y no se encuentra en la parte central para corregirlo con la ecuación de aproximación.

m1= 2.2888m2= 1.6656

AÑO EST. 8 CORREGIDO1975 707.12 971.695641976 998.27 1371.78221977 797.1 1095.3425

HIDROLOGÍA GENERAL

• ESTACIÓN 8:

Para la correción se multiplica los valores de la estación por: m1/m2

0 2000 4000 6000 8000 10000 12000 14000 16000 180000

5000

10000

15000

20000

25000

30000

35000

40000

f(x) = 1.665626477428 x − 142.019645163826

f(x) = 2.28878572431249 x − 1457.04702780939



ESTA

CIÓ

N 8

ACU

MUL

ADA



1975 707.12 543.66 707.12 971.69564 1994 744.22 9480.32 19145.49 20241.5561976 998.27 1045.5633 1705.39 2343.4778 1995 1115.85 9876.16 20261.34 21147.5551977 797.1 1617.4133 2502.49 3438.8203 1996 921.95568 10210.52 21183.296 21912.8381978 867.34 2127.03 3369.83 4306.1603 1997 1326.93 10603.04 22510.226 22811.2381979 1189.24 2728.17 4559.07 5495.4003 1998 966.75 11156.193 23476.976 23777.9881980 1207.52 3205.3467 5766.59 6702.9203 1999 968.87 11614.527 24445.846 24746.8581981 1303.21 3643.25 7069.8 8006.1303 2000 781.95 12001.813 25227.796 25528.8081982 915.22 4058.7967 7985.02 8921.3503 2001 1235.11 12252.553 26462.906 26763.9181983 821.72 4481.4533 8806.74 9743.0703 2002 1293.34 12576.193 27756.246 27327.3911984 962.74 5001.73 9769.48 10705.81 2003 1042.1 12948.01 28798.346 28178.4051985 912.44 5253.8733 10681.92 11618.25 2004 1170.44 13384.037 29968.786 29176.3831986 1242.4 5768.3933 11924.32 12860.65 2005 636.52 13810.923 30605.306 30153.4411987 908.3 6225.6033 12832.62 13768.95 2006 1201.16 14242.61 31806.466 31141.4861988 1070.09 6687.29 13902.71 14839.04 2007 620.49 14769.827 32426.956 31761.9761989 1072.08 7120.89 14974.79 15911.12 2008 1147.01 15208.143 33573.966 32908.9861990 825.74 7523.8067 15800.53 16736.86 2009 1057.15 15578.97 34631.116 33966.1361991 780.52 8079.74 16581.05 17517.38 2010 1040.6 15991.337 35671.716 35006.7361992 943.12 8461.8533 17524.17 17910.49 2011 696.22 16392.223 36367.936 35702.9561993 877.1 8997.12 18401.27 19135.608


1045.5633 2343.4778 9876.16 21147.5551617.4133 3438.8203 10210.52 21912.838

2127.03 4306.1603 10603.04 22811.2382728.17 5495.4003 11156.193 23777.988

3205.3467 6702.9203 11614.527 24746.8583643.25 8006.1303 12001.813 25528.808

4058.7967 8921.3503 12252.553 26763.9184481.4533 9743.0703 12576.193 27327.391

5001.73 10705.81 12948.01 28178.4055253.8733 11618.25 13384.037 29176.3835768.3933 12860.65 13810.923 30153.4416225.6033 13768.95 14242.61 31141.486

6687.29 14839.04 14769.827 31761.9767120.89 15911.12 15208.143 32908.986

7523.8067 16736.86 15578.97 33966.1368079.74 17517.38 15991.337 35006.736

8461.8533 17910.49 16392.223 35702.9568997.12 19135.608


1975 707.12 971.69564 971.69564 1994 744.22 20241.556 1105.94821976 998.27 2343.4778 1371.7822 1995 1115.85 21147.555 905.998591977 797.1 3438.8203 1095.3425 1996 921.95568 21912.838 765.283171978 867.34 4306.1603 867.34 1997 1326.93 22811.238 898.399781979 1189.24 5495.4003 1189.24 1998 966.75 23777.988 966.751980 1207.52 6702.9203 1207.52 1999 968.87 24746.858 968.871981 1303.21 8006.1303 1303.21 2000 781.95 25528.808 781.951982 915.22 8921.3503 915.22 2001 1235.11 26763.918 1235.111983 821.72 9743.0703 821.72 2002 1293.34 27327.391 563.473351984 962.74 10705.81 962.74 2003 1042.1 28178.405 851.013991985 912.44 11618.25 912.44 2004 1170.44 29176.383 997.977831986 1242.4 12860.65 1242.4 2005 636.52 30153.441 977.05821987 908.3 13768.95 908.3 2006 1201.16 31141.486 988.044441988 1070.09 14839.04 1070.09 2007 620.49 31761.976 620.491989 1072.08 15911.12 1072.08 2008 1147.01 32908.986 1147.011990 825.74 16736.86 825.74 2009 1057.15 33966.136 1057.151991 780.52 17517.38 780.52 2010 1040.6 35006.736 1040.61992 943.12 17910.49 393.1096 2011 696.22 35702.956 696.221993 877.1 19135.608 1225.1183 HIDROLOGÍA GENERAL

0 2000 4000 6000 8000 10000 12000 14000 16000 180000

5000

10000

15000

20000

25000

30000

35000

40000

f(x) = 2.17427942080873 x − 73.8363019307653



NUE

VO E

4 AC

UMUL

ADO


PRECIPITACIONES FINALES

Luego de corregir los datos de todas las estaciones, se tienen los datos finales de precipitación:

AÑO N ESTACIÓN 1 ESTACIÓN2 ESTACIÓN 4 ESTACIÓN 5 ESTACIÓN 7 ESTACIÓN 8

1975 1 754.66 332.99 236.75 424.24 424.24 971.695641976 2 568.71 320.02 351.79 486.94 271.06938 1371.78221977 3 691.64 372.64 258.09 390.19 387.14245 1095.34251978 4 540.29 530.6 529.86 364.51 345.01048 867.341979 5 641.34 698.54 413.86359 528.87 406.97178 1189.241980 6 356.31 497.6 321.09218 178.59 323.0486 1207.521981 7 416.6 397.75 294.66515 227.85 227.85 1303.211982 8 498.09 309.89 505.21 313.47 313.47 915.221983 9 532.63 345.93 175.01 170.71 170.71 821.721984 10 737.87 442.71 233.90119 240.28 240.28 962.741985 11 142.24 192.3 169.66725 108.99 434.54255 912.441986 12 343.17 501.15 346.22051 143.78 348.33004 1242.41987 13 701.6 294.12 231.65 299.98 309.53117 908.31988 14 275.34 606.79 324.62 349 312.56187 1070.091989 15 354.87 454.41 305.05 196.89 293.5472 1072.081990 16 244.87 468.58 344.93 343.67 272.77458 825.741991 17 545.34 772.4 349.05517 625.9 376.36687 780.521992 18 432.85 245.65 257.12406 444.01 444.01 393.10961993 19 641.36 387.88 360.18094 428.75 428.75 1225.11831994 20 566.44 395.49 325.14528 294.4 294.4 1105.94821995 21 320.3 341.67 292.1 290.82 290.82 905.998591996 22 226.08 276.35 156.2 168.15 168.15 765.283171997 23 368.31 559.8 126 90.43 90.43 898.399781998 24 638.82 511.34 310.38 285.54 391.27291 966.751999 25 483.34 513.15 308.11 200.73 310.29167 968.872000 26 365.73 430.33 157 263.41 262.19307 781.952001 27 236.7 253.21 207 175.2 169.75098 1235.112002 28 314.92 393.93 281.22604 272.79 219.10428 563.473352003 29 436.08 309.11 425.46 333.19 333.19 851.013992004 30 494.54 424.67 213.35 413.5 413.5 997.977832005 31 403.87 465.35 245.59 475.72 475.72 977.05822006 32 453.11 413.99 208.77 265.17 265.17 988.044442007 33 786.15 343.91 355.32 316.67 316.67 620.492008 34 358.15 484.9 193.02 416.83 416.83 1147.012009 35 328.16 289.55 311.11 312.9 312.9 1057.152010 36 289.24 424.17 284.73 279.63 279.63 1040.62011 37 448.81 307.83 250.19 182.37 182.37 696.22

PREC. PROMEDIO: 457.79811 413.8027 288.09274 305.51541 311.42162 964.94475

HIDROLOGÍA GENERAL


DOBLE MASA PARA SELECCIÓN DE ESTACIONES BASESP. E1, E2, E7 P. E1, E5, E7 P. E2, E5, E7 E1, E2, E5 AC. E1, E2, E7 AC. E1, E5, E7 AC. E2, E5, E7 AC.

503.96 574.08 433.52 543.66 503.96 574.08 433.52458.56 557.54 474.65 1045.56 962.52 1131.62 908.17484.82 577.70 471.37 1617.41 1447.34 1709.32 1379.53478.47 454.25 451.02 2127.03 1925.81 2163.57 1830.56622.92 544.58 563.65 2728.17 2548.73 2708.16 2394.21344.17 370.84 417.94 3205.35 2892.89 3079.00 2812.14347.40 381.27 374.99 3643.25 3240.29 3460.27 3187.13373.82 416.74 354.01 4058.80 3614.11 3877.01 3541.14349.76 364.25 302.02 4481.45 3963.87 4241.26 3843.15473.62 452.80 354.41 5001.73 4437.49 4694.06 4197.57147.84 224.37 241.06 5253.87 4585.33 4918.43 4438.63329.37 395.40 448.06 5768.39 4914.70 5313.83 4886.68431.90 459.16 323.34 6225.60 5346.60 5772.99 5210.02410.38 375.76 486.24 6687.29 5756.97 6148.75 5696.26335.39 347.76 380.94 7120.89 6092.36 6496.51 6077.20352.37 361.28 435.85 7523.81 6444.74 6857.79 6513.05647.88 507.10 582.79 8079.74 7092.62 7364.89 7095.84374.17 448.23 385.83 8461.85 7466.79 7813.12 7481.67486.00 548.89 464.40 8997.12 7952.78 8362.01 7946.07418.78 449.50 392.52 9480.32 8371.56 8811.51 8338.59317.60 378.89 386.01 9876.16 8689.16 9190.40 8724.60223.53 298.29 315.05 10210.52 8912.68 9488.70 9039.65339.51 236.06 299.89 10603.04 9252.20 9724.76 9339.54478.57 477.89 435.39 11156.19 9730.76 10202.65 9774.94399.07 354.19 364.13 11614.53 10129.84 10556.84 10139.07353.16 331.65 353.18 12001.81 10482.99 10888.49 10492.25221.70 224.74 230.24 12252.55 10704.70 11113.22 10722.49327.21 283.26 309.60 12576.19 11031.91 11396.48 11032.08359.46 379.84 337.52 12948.01 11391.37 11776.33 11369.60444.24 432.30 409.01 13384.04 11835.61 12208.63 11778.62448.31 430.34 450.84 13810.92 12283.92 12638.97 12229.45377.42 382.08 369.04 14242.61 12661.34 13021.05 12598.49482.24 518.14 370.72 14769.83 13143.59 13539.19 12969.22419.96 415.63 457.88 15208.14 13563.55 13954.82 13427.09310.20 378.61 365.74 15578.97 13873.75 14333.43 13792.83331.01 364.19 409.16 15991.34 14204.76 14697.61 14202.00313.00 359.07 312.07 16392.22 14517.77 15056.68 14514.07

HIDROLOGÍA GENERAL

P. ACUM. NUEV E4 AC543.66 236.75

1045.5633 588.541617.4133 846.63

2127.03 1376.492728.17 1790.3536

3205.3467 2111.44583643.25 2406.1109

4058.7967 2911.32094481.4533 3086.3309

5001.73 3320.23215253.8733 3489.89945768.3933 3836.11996225.6033 4067.7699

6687.29 4392.38997120.89 4697.4399

7523.8067 5042.36998079.74 5391.425

8461.8533 5648.54918997.12 6008.739480.32 6333.87539876.16 6625.9753

10210.52 6782.175310603.04 6908.1753

11156.193 7218.555311614.527 7526.665312001.813 7683.665312252.553 7890.665312576.193 8171.891412948.01 8597.3514

13384.037 8810.701413810.923 9056.291414242.61 9265.0614

14769.827 9620.381415208.143 9813.401415578.97 10124.511

15991.337 10409.24116392.223 10659.431

ESTACIÓN 7 P. ACUM. E7 ACUM.0 543.66 424.240 1045.5633 695.309380 1617.4133 1082.45180 2127.03 1427.46230 2728.17 1834.43410 3205.3467 2157.48270 3643.25 2385.33270 4058.7967 2698.80270 4481.4533 2869.51270 5001.73 3109.79270 5253.8733 3544.33520 5768.3933 3892.66530 6225.6033 4202.19650 6687.29 4514.75830 7120.89 4808.30550 7523.8067 5081.08010 8079.74 5457.4470 8461.8533 5901.4570 8997.12 6330.2070 9480.32 6624.6070 9876.16 6915.4270 10210.52 7083.5770 10603.04 7174.0070 11156.193 7565.27990 11614.527 7875.57160 12001.813 8137.76460 12252.553 8307.51560 12576.193 8526.61990 12948.01 8859.80990 13384.037 9273.30990 13810.923 9749.02990 14242.61 10014.20 14769.827 10330.870 15208.143 10747.70 15578.97 11060.60 15991.337 11340.230 16392.223 11522.6

estación 80 543.66 971.695640 1045.5633 2343.47780 1617.4133 3438.82030 2127.03 4306.16030 2728.17 5495.40030 3205.3467 6702.92030 3643.25 8006.13030 4058.7967 8921.35030 4481.4533 9743.07030 5001.73 10705.810 5253.8733 11618.250 5768.3933 12860.650 6225.6033 13768.950 6687.29 14839.040 7120.89 15911.120 7523.8067 16736.860 8079.74 17517.380 8461.8533 17910.490 8997.12 19135.6080 9480.32 20241.5560 9876.16 21147.5550 10210.52 21912.8380 10603.04 22811.2380 11156.193 23777.9880 11614.527 24746.8580 12001.813 25528.8080 12252.553 26763.9180 12576.193 27327.3910 12948.01 28178.4050 13384.037 29176.3830 13810.923 30153.4410 14242.61 31141.4860 14769.827 31761.9760 15208.143 32908.9860 15578.97 33966.1360 15991.337 35006.7360 16392.223 35702.956


PRECIPITACIÓN MEDIA DE LA CUENCA - PM

MÉTODO I: Promedio Aritmético

ESTACIÓN 1 ESTACIÓN2 ESTACIÓN 4 ESTACIÓN 5 ESTACIÓN 7 ESTACIÓN 8

457.79811 413.8027 288.09274 305.51541 311.42162 964.94475

PM= 457.798+413.803+288.093+305.515+311.422+964.945

PM= 456.92922

MÉTODO II: Polígono de Thiesen

Las puntos de ubicación de las estaciones que fueron asignadas en clase, tienen diferentes alturas respectoal nivel del mar, es por ello que a aquellos con similar altitud se les asignarán estaciones con precipitacionespromedio cercanas como se nuestra en el siguiente cuadro:

msnm ESTACIÓN PRECIP. ÁREA Km² msnm ESTACIÓN PRECIP. ÁREA Km²

3200-3250 Estación 8 964.9448 1 75.276286 3950-4000 Estación 7 311.4216 4 57.9619953550-3600 Estación 1 457.7981 2 56.732341 4000-4050 Estación 5 305.5154 5 24.2932893600-3650 Estación 2 413.8027 3 59.274421 4100-4150 Estación 4 288.0927 6 66.763594

Aplicando la siguiente fórmula se determina la precipitación media:

P= 493.22092 mm.

PM=493.220920414869mm.

HIDROLOGÍA GENERAL


MÉTODO III: Isoyetas

Se trazaron las isoyetas, triangulando las estaciones existentes con las distancias horizontales entre unaestación y la otra. Para determinar la precipitación en cada curva trazada se realiza lo siguiente:

Donde:Li: Es la longitud horizontal medido desde el punto de menos precipitación desde el cual

se debe trazar la siguiente isoyeta.Pi: Menor precipitación en mm.

Pj: Mayor precipitación en mm.Pk: Precipitación a la cual se desea hallar la isoyeta.

L: Distancia horizontal entre estaciones.

HIDROLOGÍA GENERAL


Como se vio en los planos, las isoyetas fueron trazadas a cada 10 mm. De variación entre una estacióna otra; pero para el cálculo de la precipitación media se tomaron las isoyetas a cada 50 mm. De variacióncon interpolaciones en lugares necesarios para que las isoyetas sean tangentes al perímetro de la hoya.

Las áreas entre cada para de isoyetas fue determinado por el AutoCAD, obtniéndose lo siguiente:

SECCIÓN SECCIÓNi j i j

1050 1000 0.3449552017 550 500 24.84363842551000 950 2.8857655425 500 450 29.0400618958950 900 5.5612296474 450 400 26.1887409806900 850 7.8996671062 400 350 32.7358653261850 800 10.4274001062 350 300 35.8869558278800 750 13.1088325576 300 250 50.0557539273750 700 15.4465844427 250 244.25 3.9608009215700 650 18.2626016472 244.25 235.61 5.2323626185650 600 21.0895078783 235.61 200 13.5309901633600 550 23.3695573901 200 180.54 1.0088410424

PRECIPITACIÓN MEDIAINTERVALO

ÁREA ÁREAxPREC. PROM.i j

1050 1000 0.3449552017 1025 353.57908174251000 950 2.8857655425 975 2813.6214039375950 900 5.5612296474 925 5144.137423845900 850 7.8996671062 875 6912.208717925850 800 10.4274001062 825 8602.605087615800 750 13.1088325576 775 10159.34523214750 700 15.4465844427 725 11198.7737209575700 650 18.2626016472 675 12327.25611186650 600 21.0895078783 625 13180.9424239375600 550 23.3695573901 575 13437.4954993075550 500 24.8436384255 525 13042.9101733875500 450 29.0400618958 475 13794.029400505450 400 26.1887409806 425 11130.214916755400 350 32.7358653261 375 12275.9494972875350 300 35.8869558278 325 11663.260644035300 250 50.0557539273 275 13765.3323300075250 244.25 3.9608009215 247.125 978.812927725688

244.25 235.61 5.2323626185 239.93 1255.40076305671235.61 200 13.5309901633 217.805 2947.11731251756

200 180.54 1.0088410424 190.27 191.952185137448SUMA 340.8801126487 11295.13 165174.944853682

Aplicando la fórmula: Se obtiene:

PM: 484.55436 mm.

PM:484.554360095235 mm.

HIDROLOGÍA GENERAL

ÁREA Km² ÁREA Km²

PRECIPITACIÓN PROM. INTERVALO


MÉTODO IV: Thiessen Mejorado ÁREA TOTAL DE LA HOYA:

1COTA i COTA j hm ai ap hm.ai/ap

2 3 4 5ESTACIÓN hp ap/at pi (2)x(3)/(4)

E-8

1000 1050 1025 0.3449552

75.68407

4.6717768

758.13213 0.2220027 964.9448 0.1744217

950 1000 975 2.8857655 37.175874900 950 925 5.5612296 67.968563850 900 875 7.8996671 91.329771800 850 825 10.427401 113.66468750 800 775 12.9402 132.50681700 750 725 11.959595 114.56448650 700 675 9.8399927 87.759486600 650 625 8.0711212 66.651421550 600 575 3.4046492 25.866385500 550 525 1.8576661 12.88613450 500 475 0.4918282 3.0867578

E-1

300 350 325 2.5914656

56.671589

14.861527

510.51098 0.1662337 457.7981 0.1853746

350 400 375 5.7086388 37.774476400 450 425 7.7822308 58.361661450 500 475 12.915941 108.25658500 550 525 8.6966847 80.565228550 600 575 7.1192872 72.233551600 650 625 5.5418774 61.118339650 700 675 3.9644464 47.219451700 750 725 2.1962759 28.096972750 800 775 0.1547406 2.0231995

E-2

250 300 275 0.3956068

59.274421

1.835393

492.96834 0.1738686 413.8027 0.2071318

300 350 325 2.3813955 13.057125350 400 375 12.234413 77.401093400 450 425 9.2010331 65.97178450 500 475 8.7105188 69.802393500 550 525 7.7871578 68.971704550 600 575 6.8637967 66.583242600 650 625 5.9377304 62.608481650 700 675 4.4579497 50.765845700 750 725 1.2909268 15.789643750 800 775 0.0138924 0.18164

E-7

150 200 175 1.008841

57.961995

3.0459128

278.83783 0.1700188 311.4216 0.1522299

200 250 225 14.975974 58.134542250 300 275 24.305223 115.31584300 350 325 14.347187 80.446435350 400 375 2.8788756 18.625625400 450 425 0.445895 3.2694764

E-5

250 300 275 6.8806441

24.293289

77.888884

333.3998 0.071259 305.5154 0.0777629300 350 325 9.4849954 126.89198350 400 375 5.1247353 79.10727400 450 425 2.5716556 44.989942450 500 475 0.2312581 4.5217269

E-4

200 250 225 7.7481802

67.029771

26.008451

379.36976 0.1966172 288.0927 0.2589118

250 300 275 18.474281 75.793592300 350 325 6.9825464 33.855517350 400 375 6.3946593 35.775107400 450 425 6.1273979 38.850559450 500 475 6.8721899 48.69911500 550 525 6.5021298 50.926895550 600 575 5.9863701 51.352746600 650 625 1.942017 18.107784

ÁREA TOTAL 340.91513

HIDROLOGÍA GENERAL


Donde:

hm: Cota promedio entre COTAi y COTAjai: Área comprendida entre las isoyetas dentro de su respectivo polígono.

ap: Área de cada polígono de hiessenhp: Precipitación al inetrior del polígono.pi: Precipitación de la estación

5=pi: Peso de cada estación.

Para la precipitación media se va a utilizar la siguiente expresión:

P= 484.63923

PM.=484.63923355421 mm.

RESULTADOS FINALES DE PRECIPITACIÓN MEDIA:

MÉTODO I: 456.929220822823 mm.

MÉTODO II: 493.220920414869 mm.

MÉTODO III: 484.554360095235 mm.

MÉTODO IV: 484.63923355421 mm.

HIDROLOGÍA GENERAL


ANÁLISIS ESTADÍSTICO DE LOS DATOS HIDROLÓGICOS

PRECIPITACIONES:

AÑO N ESTACIÓN 1 ESTACIÓN2 ESTACIÓN 4 ESTACIÓN 5 ESTACIÓN 7 ESTACIÓN 8

1975 1 754.66 332.99 236.75 424.24 424.24 971.695641976 2 568.71 320.02 351.79 486.94 271.06938 1371.78221977 3 691.64 372.64 258.09 390.19 387.14245 1095.34251978 4 540.29 530.6 529.86 364.51 345.01048 867.341979 5 641.34 698.54 413.86359 528.87 406.97178 1189.241980 6 356.31 497.6 321.09218 178.59 323.0486 1207.521981 7 416.6 397.75 294.66515 227.85 227.85 1303.211982 8 498.09 309.89 505.21 313.47 313.47 915.221983 9 532.63 345.93 175.01 170.71 170.71 821.721984 10 737.87 442.71 233.90119 240.28 240.28 962.741985 11 142.24 192.3 169.66725 108.99 434.54255 912.441986 12 343.17 501.15 346.22051 143.78 348.33004 1242.41987 13 701.6 294.12 231.65 299.98 309.53117 908.31988 14 275.34 606.79 324.62 349 312.56187 1070.091989 15 354.87 454.41 305.05 196.89 293.5472 1072.081990 16 244.87 468.58 344.93 343.67 272.77458 825.741991 17 545.34 772.4 349.05517 625.9 376.36687 780.521992 18 432.85 245.65 257.12406 444.01 444.01 393.10961993 19 641.36 387.88 360.18094 428.75 428.75 1225.11831994 20 566.44 395.49 325.14528 294.4 294.4 1105.94821995 21 320.3 341.67 292.1 290.82 290.82 905.998591996 22 226.08 276.35 156.2 168.15 168.15 765.283171997 23 368.31 559.8 126 90.43 90.43 898.399781998 24 638.82 511.34 310.38 285.54 391.27291 966.751999 25 483.34 513.15 308.11 200.73 310.29167 968.872000 26 365.73 430.33 157 263.41 262.19307 781.952001 27 236.7 253.21 207 175.2 169.75098 1235.112002 28 314.92 393.93 281.22604 272.79 219.10428 563.473352003 29 436.08 309.11 425.46 333.19 333.19 851.013992004 30 494.54 424.67 213.35 413.5 413.5 997.977832005 31 403.87 465.35 245.59 475.72 475.72 977.05822006 32 453.11 413.99 208.77 265.17 265.17 988.044442007 33 786.15 343.91 355.32 316.67 316.67 620.492008 34 358.15 484.9 193.02 416.83 416.83 1147.012009 35 328.16 289.55 311.11 312.9 312.9 1057.152010 36 289.24 424.17 284.73 279.63 279.63 1040.62011 37 448.81 307.83 250.19 182.37 182.37 696.22

FÓRMULAS A USAR

VALOR CENTRAL O DOMINANTE

HIDROLOGÍA GENERAL


DATOS ORDENADOS DE PRECIPITACIÓN POR ESTACIÓN

N ESTACIÓN 1 ESTACIÓN2 ESTACIÓN 4 ESTACIÓN 5 ESTACIÓN 7 ESTACIÓN 8

1 142.24 192.3 126.00 90.43 90.43 393.112 226.08 245.65 156.20 108.99 168.15 563.473 236.7 253.21 157.00 143.78 169.75 620.494 244.87 276.35 169.67 168.15 170.71 696.225 275.34 289.55 175.01 170.71 182.37 765.286 289.24 294.12 193.02 175.20 219.10 780.527 314.92 307.83 207.00 178.59 227.85 781.958 320.3 309.11 208.77 182.37 240.28 821.729 328.16 309.89 213.35 196.89 262.19 825.74

10 343.17 320.02 231.65 200.73 265.17 851.0111 354.87 332.99 233.90 227.85 271.07 867.3412 356.31 341.67 236.75 240.28 272.77 898.4013 358.15 343.91 245.59 263.41 279.63 906.0014 365.73 345.93 250.19 265.17 290.82 908.3015 368.31 372.64 257.12 272.79 293.55 912.4416 403.87 387.88 258.09 279.63 294.40 915.2217 416.6 393.93 281.23 285.54 309.53 962.7418 432.85 395.49 284.73 290.82 310.29 966.7519 436.08 397.75 292.10 294.40 312.56 968.8720 448.81 413.99 294.67 299.98 312.90 971.7021 453.11 424.17 305.05 312.90 313.47 977.0622 483.34 424.67 308.11 313.47 316.67 988.0423 494.54 430.33 310.38 316.67 323.05 997.9824 498.09 442.71 311.11 333.19 333.19 1040.6025 532.63 454.41 321.09 343.67 345.01 1057.1526 540.29 465.35 324.62 349.00 348.33 1070.0927 545.34 468.58 325.15 364.51 376.37 1072.0828 566.44 484.9 344.93 390.19 387.14 1095.3429 568.71 497.6 346.22 413.50 391.27 1105.9530 638.82 501.15 349.06 416.83 406.97 1147.0131 641.34 511.34 351.79 424.24 413.50 1189.2432 641.36 513.15 355.32 428.75 416.83 1207.5233 691.64 530.6 360.18 444.01 424.24 1225.1234 701.6 559.8 413.86 475.72 428.75 1235.1135 737.87 606.79 425.46 486.94 434.54 1242.4036 754.66 698.54 505.21 528.87 444.01 1303.2137 786.15 772.4 529.86 625.90 475.72 1371.78

DESVIACIÓN:

CARACTERÍSTICAS DE FORMA:

2

HIDROLOGÍA GENERAL


VALOR CENTRAL O DOMINANTE


457.79811 413.8027 288.09274 305.51541 311.42162 964.94475

Para todo: K= 1 + 3.33 log (37) n= 37k= 6.2221117 n/2= 18.5k= 7

ESTACIÓN 1

R= 786.15 - 142.24 ====> R= 643.91

C= R / kC= 91.99 d= 0.01

Intervalo fi Fi142.23 234.22 2 2234.22 326.21 6 8 IMe Intervalo donde se halla la mediana326.21 418.2 9 17 Li-1= 418.2 Límite inferior del IMe418.2 510.19 7 24 Fi-1= 17 Frec. Acum. menor del Fi del IMe

510.19 602.18 5 29 fi= 7 Frecuencia del IMe602.18 694.17 4 33694.17 786.16 4 37

37

Me= 437.91214 mm.

ESTACIÓN 2

R= 772.4 - 192.3 ====> R= 580.1

C= R / kC= 82.9 d= 0.1

Intervalo fi Fi192.2 275.1 3 3275.1 358 11 14 IMe Intervalo donde se halla la mediana358 440.9 9 23 Li-1= 358 Límite inferior del IMe

440.9 523.8 9 32 Fi-1= 14 Frec. Acum. menor del Fi del IMe 523.8 606.7 2 34 fi= 9 Frecuencia del IMe606.7 689.6 1 35689.6 772.5 2 37

37

Me= 399.45 mm.

• MEDIA:

• MEDIANA:

HIDROLOGÍA GENERAL


ESTACIÓN 4

R= 529.86 - 126 ====> R= 403.86

C= R / kC= 57.7 d= 0.02

Intervalo fi Fi125.98 183.68 5 5183.68 241.38 7 12 IMe Intervalo donde se halla la mediana241.38 299.08 8 20 Li-1= 241.38 Límite inferior del IMe299.08 356.78 12 32 Fi-1= 12 Frec. Acum. menor del Fi del IMe 356.78 414.48 2 34 fi= 8 Frecuencia del IMe414.48 472.18 1 35472.18 529.88 2 37

37

Me= 288.26125 mm.

ESTACIÓN 5

R= 625.9 - 90.43 ====> R= 535.47

C= R / kC= 76.5 d= 0.015

Intervalo fi Fi90.42 166.92 3 3

166.92 243.42 9 12 IMe Intervalo donde se halla la mediana243.42 319.92 11 23 Li-1= 243.415 Límite inferior del IMe319.92 396.42 5 28 Fi-1= 12 Frec. Acum. menor del Fi del IMe 396.42 472.92 5 33 fi= 11 Frecuencia del IMe472.92 549.42 3 36549.42 625.92 1 37

37

Me= 288.61955 mm.

ESTACIÓN 7

R= 475.72 - 90.43 ====> R= 385.29

C= R / kC= 55.041 55.1 d= 0.205

Intervalo fi Fi90.22 145.32 1 1

145.32 200.42 4 5 IMe Intervalo donde se halla la mediana200.42 255.52 3 8 Li-1= 310.62 Límite inferior del IMe255.52 310.62 10 18 Fi-1= 18 Frec. Acum. menor del Fi del IMe 310.62 365.72 8 26 fi= 8 Frecuencia del IMe365.72 420.82 6 32420.82 475.92 5 37

37

Me= 314.06506 mm.

HIDROLOGÍA GENERAL


ESTACIÓN 8

R= 1371.78 - 393.11 ====> R= 978.67

C= R / kC= 139.8 140 d= 0.6637155

Intervalo fi Fi392.45 532.45 1 1532.45 672.45 2 3 IMe Intervalo donde se halla la mediana672.45 812.45 4 7 Li-1= 952.45 Límite inferior del IMe812.45 952.45 9 16 Fi-1= 16 Frec. Acum. menor del Fi del IMe 952.45 1092.45 11 27 fi= 11 Frecuencia del IMe

1092.45 1232.45 6 331232.45 1372.45 4 37

37

Me= 984.21861 mm.


437.91214 399.45 288.26125 288.61955 314.06506 984.21861


26889.606 15215.207 8306.3593 14923.791 8126.1079 43903.477


163.98051 123.34994 91.13923 122.16297 90.144927 209.53157


0.3581939 0.2980888 0.3163538 0.3998586 0.2894627 0.2171436


643.91 580.1 403.86 535.47 385.29 978.67257

DESVIACIÓN:

• VARIANZA:

• DESVIACIÓN ESTÁNDAR:

• COEFICIENTE DE VARIACIÓN:

• RANGO:

HIDROLOGÍA GENERAL


(Xi-X)ELEVADO A LA 3-31422304 -10867686 -4258834 -9950223 -10792633-186987489-12441706 -4754573 -2294366 -7590250 -2940902 -64708874-10808242 -4141688 -2252869 -4230730 -2843410 -40869238

-9653815 -2596928 -1660870 -2591983 -2786056 -19405418-6074206 -1918304 -1446069 -2449751 -2149267 -7959459-4789045 -1714329 -859345.9 -2213030 -786773.7 -6272745-2916736 -1190096 -533268.5 -2044776 -583682.2 -6127960-2599502 -1147491 -499106.4 -1867474 -360057 -2938016-2178703 -1122034 -417548.6 -1281723 -119302.9 -2697504-1506168 -824837.2 -179814.3 -1150542 -98942.03 -1478846-1090440 -527762.9 -159145.6 -468471.1 -65705.69 -929849.9-1045311 -375315.6 -135343.4 -277619.6 -57722.95 -294676.7

-989480.3 -341425.1 -76780.47 -74647.21 -32132.01 -204817.2-780418.7 -312669.4 -54451.75 -65672.3 -8743.877 -181751.9-716631.6 -69744.77 -29700.79 -35047.34 -5710.784 -144742.4-156835.9 -17419.71 -27007.4 -17344.62 -4931.767 -122947-69924.89 -7848.213 -323.7756 -7970.523 -6.756077 -10.71713

-15527.9 -6141.258 -38.02592 -3173.545 -1.442713 5.8831742-10243.92 -4136.609 64.349128 -1373.333 1.4825375 60.478611-726.1141 0.0065704 283.90602 -169.6088 3.2311678 307.66831-103.0369 1114.286 4876.0378 402.69846 8.5947351 1777.476216663.23 1283.4077 8020.7303 503.33155 144.56933 12325.898

49600.328 4514.457 11070.572 1387.9102 1571.8146 36045.19465411.33 24155.858 12194.413 21195.507 10315.218 433029.22

419044.53 66959.508 35935.168 55544.432 37895.355 783911.33561350.08 136967.55 48736.159 82225.453 50277.817 1162435.8670884.54 164362.15 50869.09 205322.56 273931.6 1229694.31282306.8 359384.44 183611.3 607098.8 434156.31 22172281364376.8 588423.54 196404.28 1259173 509150.04 2803424.45931892.9 666420.6 226561.89 1379292.3 872357.05 6035054.36183090.6 927923.45 258441.5 1673486 1063656.3 112839266185112.1 980546.45 303833.91 1871534.9 1171184.8 1427379512786949 1593303 374621.37 2656430.6 1435950.9 1761122914491429 3111963.2 1989482 4930759.7 1615136.5 1971916221968913 7187637.6 2592087.8 5971569.4 1866361.3 2135889826161543 23085170 10234887 11142552 2330861.2 3870545335401248 46112751 14131637 32886290 4435063.6 67338379

SUMA: 44273744 53072450 15778736 28422797 -7527954 -1.36E+08SESGO: 0.2948498 0.8303927 0.6120506 0.4578036 -0.301776 -0.435148


0.2948 0.8304 0.6121 0.4578 -0.3018 -0.4351ASIMETRÍA: A A A A C C

A: DSTRIBUCIÓN A LA DERECHAB: DISTRIBUCIÓN SIMÉTRICAC: DISTRIBUCIÓN A LA IZQUIERDA

CARACTERÍSTICAS DE FORMA:

• COEFICIENTE DE OBLICUIDAD:

HIDROLOGÍA GENERAL


(Xi-X) ELEVADO A LA 49.91556E+09 2.40722E+09 6.90326E+08 2.14015E+09 2.38508E+09 1.06926E+11

2.88297E+09 7.99494E+08 3.02610E+08 1.49168E+09 4.21348E+08 2.59788E+10

2.38968E+09 6.65125E+08 2.95335E+08 6.84259E+08 4.02828E+08 1.40776E+10

2.05557E+09 3.56955E+08 1.96689E+08 3.56049E+08 3.92030E+08 5.21472E+09

1.10829E+09 2.38355E+08 1.63525E+08 3.30240E+08 2.77366E+08 1.58920E+09

8.07232E+08 2.05176E+08 8.17004E+07 2.88392E+08 7.26329E+07 1.15685E+09

4.16738E+08 1.26118E+08 4.32442E+07 2.59534E+08 4.87793E+07 1.12138E+09

3.57427E+08 1.20134E+08 3.95905E+07 2.29971E+08 2.56150E+07 4.20797E+08

2.82443E+08 1.16594E+08 3.12087E+07 1.39228E+08 5.87311E+06 3.75505E+08

1.72649E+08 7.73555E+07 1.01492E+07 1.20560E+08 4.57623E+06 1.68486E+08

1.12237E+08 4.26499E+07 8.62435E+06 3.63840E+07 2.65137E+06 9.07578E+07

1.06087E+08 2.70725E+07 6.94890E+06 1.81106E+07 2.23082E+06 1.96093E+07

9.85998E+07 2.38631E+07 3.26338E+06 3.14305E+06 1.02153E+06 1.20732E+07

7.18517E+07 2.12217E+07 2.06387E+06 2.64958E+06 1.80138E+05 1.02953E+07

6.41300E+07 2.87088E+06 9.19794E+05 1.14694E+06 1.02077E+05 7.59966E+06

8.45786E+06 4.51566E+05 8.10296E+05 4.48973E+05 8.39467E+04 6.11351E+06

2.88077E+06 1.55965E+05 2.22327E+03 1.59214E+05 1.27720E+01 2.36286E+01

3.87392E+05 1.12463E+05 1.27871E+02 4.66365E+04 1.63020E+00 1.06206E+01

2.22478E+05 6.64038E+04 2.57864E+02 1.52652E+04 1.69047E+00 2.37394E+02

6.52639E+03 1.23063E-03 1.86595E+03 9.38853E+02 4.77690E+00 2.07703E+03

4.83048E+02 1.15521E+04 8.26842E+04 2.97376E+03 1.76053E+01 2.15314E+04

4.25610E+05 1.39472E+04 1.60553E+05 4.00380E+03 7.58755E+02 2.84724E+05

1.82241E+06 7.46118E+04 2.46733E+05 1.54816E+04 1.82755E+04 1.19068E+06

2.63555E+06 6.98281E+05 2.80682E+05 5.86577E+05 2.24546E+05 3.27609E+07

3.13579E+07 2.71904E+06 1.18584E+06 2.11928E+06 1.27286E+06 7.22807E+07

4.63068E+07 7.06031E+06 1.78020E+06 3.57554E+06 1.85567E+06 1.22225E+08

5.87305E+07 9.00331E+06 1.88483E+06 1.21129E+07 1.77906E+07 1.31744E+08

1.39312E+08 2.55513E+07 1.04360E+07 5.14058E+07 3.28747E+07 2.89122E+08

1.51326E+08 4.93083E+07 1.14165E+07 1.35971E+08 4.06563E+07 3.95292E+08

1.07380E+09 5.82100E+07 1.38118E+07 1.53535E+08 8.33539E+07 1.09877E+09

1.13486E+09 9.05071E+07 1.64620E+07 1.98684E+08 1.08576E+08 2.53093E+09

1.13535E+09 9.74146E+07 2.04259E+07 2.30638E+08 1.23453E+08 3.46247E+09

2.99012E+09 1.86093E+08 2.70058E+07 3.67901E+08 1.62002E+08 4.58198E+09

3.53304E+09 4.54338E+08 2.50219E+08 8.39238E+08 1.89501E+08 5.32743E+09

6.15288E+09 1.38712E+09 3.56068E+08 1.08339E+09 2.29788E+08 5.92614E+09

7.76637E+09 6.57321E+09 2.22217E+09 2.48874E+09 3.09045E+08 1.30927E+10

1.16241E+10 1.65359E+10 3.41657E+09 1.05363E+10 7.28674E+08 2.73958E+10

SUMA: 5.66958E+10 3.07082E+10 8.22722E+09 2.22063E+10 6.07149E+09 2.21637E+11

CURTOSIS: 2.5057406 4.2388995 3.8105316 3.1861973 2.938217 3.6744996


2.51 4.24 3.81 3.19 2.94 3.67APUNTAMIENTO: C A A A C A

A: LEPTOCÚRTICAB: MESOCÚRTICAC: PLATICÚRTICA

• COEFICIENTE DE KURTOSIS:

HIDROLOGÍA GENERAL


FUNCIÓN DE PROBABILIDAD

datos estadísticos a las funciones de probabilidad.

Los pasos a seguir son los siguientes:

P(xi)= Min+1

Mi: Posición o numeración de los datos.n: Total de datos de precipitación.

Viene a ser la función de probabilidad acumulada que se determina a partir de la evaluaciónde los datos de precipitación en a función a comprobar.

Δ=|F(xi)-p(xi)|

De todos los valores que se obtienen se identifica el mayor.

empleando la siguiente tabla:

Nivel de significación α0.2 0.15 0.1 0.05 0.01

1 0.900 0.925 0.950 0.975 0.9952 0.684 0.726 0.776 0.842 0.9293 0.565 0.597 0.642 0.708 0.8284 0.494 0.525 0.564 0.624 0.7335 0.446 0.474 0.510 0.565 0.6896 0.410 0.436 0.470 0.521 0.6167 0.381 0.405 0.438 0.486 0.5778 0.358 0.381 0.411 0.457 0.5439 0.339 0.360 0.388 0.432 0.514

10 0.322 0.342 0.368 0.410 0.49011 0.307 0.326 0.352 0.391 0.46812 0.295 0.313 0.338 0.375 0.45013 0.284 0.302 0.325 0.361 0.43314 0.274 0.292 0.314 0.349 0.41815 0.266 0.283 0.304 0.338 0.40416 0.258 0.274 0.295 0.328 0.39217 0.250 0.266 0.286 0.318 0.38118 0.244 0.259 0.278 0.309 0.37119 0.237 0.252 0.272 0.301 0.36320 0.231 0.246 0.264 0.294 0.35625 0.210 0.220 0.240 0.270 0.32030 0.190 0.200 0.220 0.240 0.29035 0.180 0.190 0.210 0.230 0.270

N>35

Tiene buen ajuste.Tiene mal ajuste.

NOTA: Como N=37, se emplea: 1.36N^0,5

Δo= 0.223583

Para este parte se hará uso del método de Smirnov Kolmogorov para determinar la bondad de ajuste de los

1. Determinar P(xi):

2. Determinar F(x):

3. Calcular Δ

4. Determinar el Δmáx.

5. Determinar el Δo: Determinado para una confiabilidad de 95%, lo cual implica un valor para α=0.05

Tamaño muestral

1,07/N½ 1,14/N½ 1,22/N½ 1,36/N½ 1,63/N½

6. Verificar: Si Δ < ΔoSi Δ ≥ Δo

HIDROLOGÍA GENERAL


DISTRIBUCIÓN DE PROBABILIDAD PARA LA ESTACIÓN 1

Z= xi-X X: Media de la estacións s: Desviación estándar de la estación

N ESTACIÓN 1 P(xi) Z F(z) |F(xi)-P(xi)| N ESTACIÓN 1 P(xi) Z F(z) |F(xi)-P(xi)|

1 142.24 0.02632 -1.9244 0.02716 0.0008404 19 436.08 0.50000 -0.1324 0.44732 0.05268142 226.08 0.05263 -1.4131 0.07882 0.0261867 20 448.81 0.52632 -0.0548 0.45908 0.06723613 236.7 0.07895 -1.3483 0.08878 0.0098319 21 453.11 0.55263 -0.0286 0.48860 0.06403574 244.87 0.10526 -1.2985 0.09706 0.0082039 22 483.34 0.57895 0.1558 0.54506 0.03388315 275.34 0.13158 -1.1127 0.13293 0.0013463 23 494.54 0.60526 0.2241 0.58864 0.01661956 289.24 0.15789 -1.0279 0.15200 0.005899 24 498.09 0.63158 0.2457 0.59705 0.03453357 314.92 0.18421 -0.8713 0.19179 0.0075833 25 532.63 0.65789 0.4563 0.67593 0.01803428 320.3 0.21053 -0.8385 0.20088 0.0096498 26 540.29 0.68421 0.5031 0.69254 0.00832659 328.16 0.23684 -0.7906 0.18816 0.0486772 27 545.34 0.71053 0.5339 0.70328 0.0072477

10 343.17 0.26316 -0.6990 0.24227 0.0208903 28 566.44 0.73684 0.6625 0.71312 0.023721411 354.87 0.28947 -0.6277 0.26511 0.0243683 29 568.71 0.76316 0.6764 0.71782 0.045342712 356.31 0.31579 -0.6189 0.26799 0.0477974 30 638.82 0.78947 1.1039 0.86518 0.075709513 358.15 0.34211 -0.6077 0.27170 0.0704036 31 641.34 0.81579 1.1193 0.86849 0.052701514 365.73 0.36842 -0.5615 0.28724 0.0811779 32 641.36 0.84211 1.1194 0.86852 0.026411415 368.31 0.39474 -0.5457 0.29263 0.1021053 33 691.64 0.86842 1.4260 0.92307 0.054646616 403.87 0.42105 -0.3289 0.30669 0.1143603 34 701.6 0.89474 1.4868 0.93146 0.036723217 416.6 0.44737 -0.2512 0.40081 0.0465536 35 737.87 0.92105 1.7080 0.95618 0.035124218 432.85 0.47368 -0.1521 0.40882 0.0648691 36 754.66 0.94737 1.8103 0.96488 0.0175106

37 786.15 0.97368 2.0024 0.97430 0.000615

Δo= 0.223583 Δmáx.= 0.1143603

Presenta buena bondad de ajuste

Z= ln(xi)-Uy Uy: Media de Yi=ln xiσy σy: Desviación estándar de Yi=ln xi

N ESTACIÓN 1 P(xi) ln xi Z F(z) |F(xi)-P(xi)|

1 142.24 0.02632 4.9575158 -2.84 0.0022557 0.02406012 226.08 0.05263 5.4208889 -1.64 0.0022557 0.05037593 236.7 0.07895 5.4667935 -1.52 0.0642555 0.01469194 244.87 0.10526 5.5007275 -1.44 0.0749337 0.03032955 275.34 0.13158 5.6180067 -1.13 0.0763585 0.05522046 289.24 0.15789 5.6672568 -1.01 0.1562476 0.00164717 314.92 0.18421 5.7523186 -0.79 0.1378566 0.0463548 320.3 0.21053 5.7692581 -0.74 0.22965 0.01912379 328.16 0.23684 5.7935013 -0.68 0.2176954 0.0191467

10 343.17 0.26316 5.838226 -0.57 0.2206499 0.042507911 354.87 0.28947 5.8717515 -0.48 0.2176954 0.071778212 356.31 0.31579 5.8758011 -0.47 0.2206499 0.095139513 358.15 0.34211 5.8809519 -0.46 0.3227581 0.019347214 365.73 0.36842 5.9018954 -0.40 0.3445783 0.023842815 368.31 0.39474 5.908925 -0.38 0.3519727 0.042764116 403.87 0.42105 6.001093 -0.15 0.3631693 0.057883317 416.6 0.44737 6.0321265 -0.07 0.4720968 0.024728418 432.85 0.47368 6.0703912 0.03 0.5119665 0.0382823

• Distribución Normal:

• Distribución Log-Normal:

HIDROLOGÍA GENERAL



19 436.08 0.50000 6.0778257 0.05 0.5199388 0.019938820 448.81 0.52632 6.1065996 0.12 0.5079783 0.018337521 453.11 0.55263 6.1161349 0.15 0.5199388 0.032692822 483.34 0.57895 6.1807203 0.32 0.6255158 0.046568523 494.54 0.60526 6.203628 0.37 0.6443088 0.039045624 498.09 0.63158 6.2107808 0.39 0.6517317 0.020152825 532.63 0.65789 6.277827 0.57 0.6443088 0.01358626 540.29 0.68421 6.292106 0.60 0.7257469 0.041536427 545.34 0.71053 6.3014095 0.63 0.7356527 0.025126428 566.44 0.73684 6.3393712 0.72 0.7642375 0.027395429 568.71 0.76316 6.3433706 0.74 0.77035 0.007192130 638.82 0.78947 6.4596227 1.03 0.848495 0.059021331 641.34 0.81579 6.4635597 1.05 0.8531409 0.037351532 641.36 0.84211 6.4635909 1.05 0.8531409 0.011035733 691.64 0.86842 6.5390656 1.24 0.8925123 0.024091334 701.6 0.89474 6.5533634 1.28 0.8997274 0.004990635 737.87 0.92105 6.6037677 1.41 0.9207302 0.000322536 754.66 0.94737 6.6262673 1.46 0.927855 0.019513537 786.15 0.97368 6.6671476 1.57 0.9417924 0.0318918

Δo= 0.223583 Δmáx.= 0.0590213


DISTRIBUCIÓN GAMMA:

FUNCIÓN GAMMAF(X)=G(Y) ϒ=1 ϒ=2 ϒ=5 ϒ=10 ϒ=20

0.1 0.105 0.532 2.433 6.221 14.53

Y

0.2 0.223 0.824 3.09 7.289 16.170.3 0.357 1.097 3.634 8.133 17.440.4 0.511 1.376 4.148 8.904 18.570.5 0.639 1.678 4.671 9.669 19.670.6 0.916 2.022 5.237 10.476 20.810.7 1.204 2.439 5.89 11.387 22.080.8 1.609 2.994 6.721 12.519 23.630.9 2.303 3.89 7.994 14.206 25.9

0.95 2.996 4.744 9.154 15.705 27.880.99 4.605 6.638 11.605 18.783 31.85

Y

Dentro de la distribución GAMMA se tiene a la distribución Gamma de dos Parámetros, Distribución Gamma de tres parámetros (PEARSON TIPO III) y la Distribución Log Pearson Tipo III.

Estas hacen uso del cuadro mostrado "FUNCIÓN GAMMA"; para ello es necesario determinar los parámetros

ϒ Parámetro de forma. (+)β Parámetro de Escala. (+)

Varianza de los datos de precipitación.X Media de los datos de precipitación.

Haciendo uso de los valores que tomen Y, ϒ, se podrá determinar el valor de la función F(X)=G(Y)

s²

HIDROLOGÍA GENERAL


ϒ= 46.026191 β= 205.79553 Xo= -654.6884

N ESTACIÓN 1 P(xi) Yi G(Yi) |F(xi)-P(xi)|

1 142.24 0.0263 3.8724 -0.931826 0.9581422 EXTRAPOLANDO PARA: ϒ=13.5685

2 226.08 0.0526 4.2798 -0.918805 0.9714368 F(X)=G(Y) ϒ=10 ϒ=46.02619 ϒ=203 236.7 0.0789 4.3314 -0.917156 0.9961032 0.1 6.221 36.155161 14.534 244.87 0.1053 4.3711 -0.915887 1.0211501 0.2 7.289 39.283859 16.175 275.34 0.1316 4.5192 -0.911155 1.0427336 0.3 8.133 41.662575 17.446 289.24 0.1579 4.5867 -0.908996 1.0668905 0.4 8.904 43.726915 18.577 314.92 0.1842 4.7115 -0.905007 1.089218 0.5 9.669 45.698793 19.678 320.3 0.2105 4.7377 -0.904172 1.1146982 0.6 10.476 47.705465 20.819 328.16 0.2368 4.7758 -0.902951 1.1397932 0.7 11.387 49.909805 22.08

10 343.17 0.2632 4.8488 -0.90062 1.1637778 0.8 12.519 52.5477 23.6311 354.87 0.2895 4.9056 -0.898803 1.1882765 0.9 14.206 56.335027 25.912 356.31 0.3158 4.9126 -0.898579 1.2143686 0.95 15.705 59.566886 27.8813 358.15 0.3421 4.9216 -0.898293 1.2403986 0.99 18.783 65.858422 31.8514 365.73 0.3684 4.9584 -0.897116 1.265537215 368.31 0.3947 4.9709 -0.896715 1.291452316 403.87 0.4211 5.1437 -0.891193 1.312245217 416.6 0.4474 5.2056 -0.889215 1.336583918 432.85 0.4737 5.2846 -0.886692 1.360375919 436.08 0.5000 5.3003 -0.88619 1.3861920 448.81 0.5263 5.3621 -0.884213 1.410528721 453.11 0.5526 5.3830 -0.883545 1.436176722 483.34 0.5789 5.5299 -0.87885 1.457797423 494.54 0.6053 5.5843 -0.877111 1.482373724 498.09 0.6316 5.6016 -0.876559 1.508138225 532.63 0.6579 5.7694 -0.871195 1.529089626 540.29 0.6842 5.8066 -0.870005 1.554215727 545.34 0.7105 5.8312 -0.869221 1.579747128 566.44 0.7368 5.9337 -0.865944 1.602785929 568.71 0.7632 5.9447 -0.865591 1.628749130 638.82 0.7895 6.2854 -0.854702 1.644176131 641.34 0.8158 6.2977 -0.854311 1.670100532 641.36 0.8421 6.2977 -0.854308 1.696413233 691.64 0.8684 6.5421 -0.846499 1.7149234 701.6 0.8947 6.5905 -0.844952 1.739688935 737.87 0.9211 6.7667 -0.839319 1.760371636 754.66 0.9474 6.8483 -0.836711 1.784079737 786.15 0.9737 7.0013 -0.831821 1.8055047

Δo= 0.223583 Δmáx.= 1.8055047

No presenta buena bondad de ajuste

• Distribución Gamma de tres Parámetros Pearson tipo III:

HIDROLOGÍA GENERAL


ϒ= 46.026191 β= -0.110377 Xo= 7.4212029

N ESTACIÓN 1 P(xi) ln(xi) Yi G(Yi) |F(xi)-P(xi)|

1 142.24 0.0263 4.9575158 22.3207 -0.342179 0.3684948 INTERPOLANDO PARA: ϒ=13.5685

2 226.08 0.0526 5.4208889 18.1226 -0.47636 0.5289912 F(X)=G(Y) ϒ=10 ϒ=12.3486 ϒ=203 236.7 0.0789 5.4667935 17.7067 -0.489652 0.5685997 0.1 6.221 8.1724517 14.534 244.87 0.1053 5.5007275 17.3993 -0.499479 0.6047419 0.2 7.289 9.3747917 16.175 275.34 0.1316 5.6180067 16.3367 -0.53344 0.6650186 0.3 8.133 10.318842 17.446 289.24 0.1579 5.6672568 15.8905 -0.547701 0.705596 0.4 8.904 11.174157 18.577 314.92 0.1842 5.7523186 15.1199 -0.572333 0.7565434 0.5 9.669 12.017835 19.678 320.3 0.2105 5.7692581 14.9664 -0.577238 0.7877644 0.6 10.476 12.903043 20.819 328.16 0.2368 5.7935013 14.7468 -0.584258 0.8211004 0.7 11.387 13.898358 22.08

10 343.17 0.2632 5.838226 14.3416 -0.597209 0.8603673 0.8 12.519 15.128529 23.6311 354.87 0.2895 5.8717515 14.0378 -0.606917 0.8963912 0.9 14.206 16.952453 25.912 356.31 0.3158 5.8758011 14.0012 -0.60809 0.9238796 0.95 15.705 18.56442 27.8813 358.15 0.3421 5.8809519 13.9545 -0.609582 0.9516869 0.99 18.783 21.851916 31.8514 365.73 0.3684 5.9018954 13.7647 -0.615646 0.984067415 368.31 0.3947 5.908925 13.7011 -0.617682 1.012418816 403.87 0.4211 6.001093 12.8660 -0.644371 1.06542417 416.6 0.4474 6.0321265 12.5849 -0.653358 1.100726318 432.85 0.4737 6.0703912 12.2382 -0.664438 1.138122519 436.08 0.5000 6.0778257 12.1708 -0.666591 1.1665911 MEDIA: 6.058205120 448.81 0.5263 6.1065996 11.9102 -0.674923 1.2012391 DES. EST.: 0.387870121 453.11 0.5526 6.1161349 11.8238 -0.677684 1.230316 COEF. SESGO: -0.56914322 483.34 0.5789 6.1807203 11.2386 -0.696387 1.275334123 494.54 0.6053 6.203628 11.0311 -0.70302 1.308283324 498.09 0.6316 6.2107808 10.9663 -0.705091 1.336670325 532.63 0.6579 6.277827 10.3589 -0.724506 1.382400926 540.29 0.6842 6.292106 10.2295 -0.728641 1.412851627 545.34 0.7105 6.3014095 10.1452 -0.731335 1.441861428 566.44 0.7368 6.3393712 9.8013 -0.742328 1.479169929 568.71 0.7632 6.3433706 9.7650 -0.743486 1.506643830 638.82 0.7895 6.4596227 8.7118 -0.777149 1.566623131 641.34 0.8158 6.4635597 8.6761 -0.778289 1.59407932 641.36 0.8421 6.4635909 8.6759 -0.778299 1.620403833 691.64 0.8684 6.5390656 7.9921 -0.800154 1.66857534 701.6 0.8947 6.5533634 7.8625 -0.804294 1.699031135 737.87 0.9211 6.6037677 7.4059 -0.81889 1.739942636 754.66 0.9474 6.6262673 7.2020 -0.825405 1.772773737 786.15 0.9737 6.6671476 6.8317 -0.837243 1.8109274

Δo= 0.223583 Δmáx.= 1.8109274


FINALMENTE LAS FUNCIONES DE DISTRIBUCIÓN A LAS QUE MÁS SE ADECÚA CON LA DISTRIBUCIÓN NORMALY LA DISTRIBUCIÓN LOG-NORMAL.

• Distribución Log - Pearson tipo III:

HIDROLOGÍA GENERAL





1 192.3 0.02632 -1.80 0.03593 0.0096145 19 397.75 0.50000 -0.13 0.44828 0.05171682 245.65 0.05263 -1.36 0.08691 0.0342834 20 413.99 0.52632 0.00 0.50000 0.02631583 253.21 0.07895 -1.30 0.09680 0.0178531 21 424.17 0.55263 0.08 0.53188 0.02075024 276.35 0.10526 -1.11 0.13350 0.0282364 22 424.67 0.57895 0.09 0.53586 0.0430915 289.55 0.13158 -1.01 0.15625 0.0246687 23 430.33 0.60526 0.13 0.55172 0.05354646 294.12 0.15789 -0.97 0.14231 0.0155851 24 442.71 0.63158 0.23 0.59095 0.04062487 307.83 0.18421 -0.86 0.19489 0.010684 25 454.41 0.65789 0.33 0.59095 0.06694068 309.11 0.21053 -0.85 0.19766 0.0128638 26 465.35 0.68421 0.42 0.58706 0.09714619 309.89 0.23684 -0.84 0.20045 0.0363879 27 468.58 0.71053 0.44 0.67003 0.0404949

10 320.02 0.26316 -0.76 0.22363 0.0395306 28 484.9 0.73684 0.58 0.68439 0.052455811 332.99 0.28947 -0.66 0.22363 0.0658464 29 497.6 0.76316 0.68 0.68439 0.078771612 341.67 0.31579 -0.58 0.21770 0.098094 30 501.15 0.78947 0.71 0.76115 0.028325813 343.91 0.34211 -0.57 0.22065 0.1214553 31 511.34 0.81579 0.79 0.78524 0.030553414 345.93 0.36842 -0.55 0.29116 0.0772614 32 513.15 0.84211 0.81 0.79103 0.051075415 372.64 0.39474 -0.33 0.29806 0.0966809 33 530.6 0.86842 0.95 0.80234 0.066083616 387.88 0.42105 -0.21 0.30503 0.1160269 34 559.8 0.89474 1.18 0.81057 0.084166517 393.93 0.44737 -0.16 0.43644 0.0109279 35 606.79 0.92105 1.56 0.94062 0.019567418 395.49 0.47368 -0.15 0.44038 0.0333019 36 698.54 0.94737 2.31 0.93448 0.0128901

37 772.4 0.97368 2.91 0.93448 0.0392059

Δo= 0.223583 Δmáx.= 0.1214553




1 192.3 0.02632 5.2590567 -2.46 0.0069469 0.01936892 245.65 0.05263 5.5039078 -1.63 0.0075494 0.04508223 253.21 0.07895 5.5342192 -1.52 0.0642555 0.01469194 276.35 0.10526 5.6216682 -1.23 0.1093486 0.00408545 289.55 0.13158 5.668328 -1.07 0.1423097 0.01073076 294.12 0.15789 5.6839878 -1.02 0.1538642 0.00403057 307.83 0.18421 5.7295477 -0.86 0.1948945 0.0106848 309.11 0.21053 5.7336972 -0.85 0.1976625 0.01286389 309.89 0.23684 5.7362174 -0.84 0.2004542 0.0363879

10 320.02 0.26316 5.7683835 -0.73 0.2326951 0.030462811 332.99 0.28947 5.8081125 -0.59 0.2775953 0.011878412 341.67 0.31579 5.8338454 -0.51 0.3050257 0.010763713 343.91 0.34211 5.84038 -0.48 0.2809573 0.06114814 345.93 0.36842 5.8462364 -0.46 0.3227581 0.045662915 372.64 0.39474 5.9206128 -0.21 0.340903 0.053833916 387.88 0.42105 5.960696 -0.08 0.4681186 0.04706617 393.93 0.44737 5.9761732 -0.02 0.4920217 0.044653318 395.49 0.47368 5.9801255 -0.01 0.4960106 0.0223264



HIDROLOGÍA GENERAL



19 397.75 0.50000 5.9858237 0.01 0.5039894 0.003989420 413.99 0.52632 6.0258418 0.14 0.55567 0.029354221 424.17 0.55263 6.0501343 0.23 0.5909541 0.038322522 424.67 0.57895 6.0513124 0.23 0.5909541 0.012006723 430.33 0.60526 6.0645524 0.28 0.6102612 0.004998124 442.71 0.63158 6.0929149 0.37 0.6443088 0.012729825 454.41 0.65789 6.1189999 0.46 0.6772419 0.019347226 465.35 0.68421 6.1427898 0.54 0.7054015 0.02119127 468.58 0.71053 6.1497068 0.56 0.7122603 0.00173428 484.9 0.73684 6.1839427 0.68 0.7190427 0.017799429 497.6 0.76316 6.2097965 0.77 0.7793501 0.016192230 501.15 0.78947 6.2169055 0.79 0.7852361 0.004237631 511.34 0.81579 6.2370347 0.86 0.8051055 0.01068432 513.15 0.84211 6.2405682 0.87 0.8078498 0.034255533 530.6 0.86842 6.2740084 0.99 0.8389129 0.029508134 559.8 0.89474 6.3275796 1.17 0.8339768 0.060760135 606.79 0.92105 6.4081828 1.44 0.9250663 0.004013736 698.54 0.94737 6.5489924 1.92 0.9725711 0.025202637 772.4 0.97368 6.6495026 2.26 0.9750021 0.0013179

Δo= 0.223583 Δmáx.= 0.061148




0.1 0.105 0.532 2.433 6.221 14.53

Y

0.2 0.223 0.824 3.09 7.289 16.170.3 0.357 1.097 3.634 8.133 17.440.4 0.511 1.376 4.148 8.904 18.570.5 0.639 1.678 4.671 9.669 19.670.6 0.916 2.022 5.237 10.476 20.810.7 1.204 2.439 5.89 11.387 22.080.8 1.609 2.994 6.721 12.519 23.630.9 2.303 3.89 7.994 14.206 25.9

0.95 2.996 4.744 9.154 15.705 27.880.99 4.605 6.638 11.605 18.783 31.85

Y






s²

HIDROLOGÍA GENERAL


ϒ= 5.8007655 β= 0.1237665 Xo= 413.08476


1 192.3 0.0263 4.1157 0.2596568 0.233341 INTERPOLANDO PARA: ϒ=13.5685

2 245.65 0.0526 4.3749 0.3036724 0.2510408 F(X)=G(Y) ϒ=5 ϒ=5.800766 ϒ=103 253.21 0.0789 4.4117 0.3102895 0.2313421 0.1 2.433 3.0396603 6.2214 276.35 0.1053 4.5241 0.3305435 0.2252803 0.2 3.09 3.7624833 7.2895 289.55 0.1316 4.5882 0.3420971 0.2105182 0.3 3.634 4.3545292 8.1336 294.12 0.1579 4.6104 0.3460972 0.1882024 0.4 4.148 4.9096886 8.9047 307.83 0.1842 4.6771 0.3580972 0.1738867 0.5 4.671 5.4714457 9.6698 309.11 0.2105 4.6833 0.3592176 0.1486913 0.6 5.237 6.0760426 10.4769 309.89 0.2368 4.6871 0.3599003 0.1230582 0.7 5.89 6.7703621 11.387

10 320.02 0.2632 4.7363 0.3687669 0.105609 0.8 6.721 7.6495683 12.51911 332.99 0.2895 4.7993 0.3801192 0.0906456 0.9 7.994 8.9888717 14.20612 341.67 0.3158 4.8415 0.3877167 0.0719272 0.95 9.154 10.203164 15.70513 343.91 0.3421 4.8524 0.3896773 0.047572 0.99 11.605 12.75458 18.78314 345.93 0.3684 4.8622 0.3914453 0.023024315 372.64 0.3947 4.9920 0.4146499 0.019913116 387.88 0.4211 5.0660 0.4278325 0.006779917 393.93 0.4474 5.0954 0.4330658 0.014302718 395.49 0.4737 5.1030 0.4344152 0.039269119 397.75 0.5000 5.1140 0.4363701 0.063629920 413.99 0.5263 5.1929 0.4504176 0.075898221 424.17 0.5526 5.2424 0.4592233 0.093408322 424.67 0.5789 5.2448 0.4596558 0.119291523 430.33 0.6053 5.2723 0.4645517 0.140711424 442.71 0.6316 5.3325 0.4752604 0.156318525 454.41 0.6579 5.3893 0.4853809 0.172513826 465.35 0.6842 5.4425 0.494844 0.189366627 468.58 0.7105 5.4582 0.4976379 0.212888428 484.9 0.7368 5.5375 0.5109218 0.225920329 497.6 0.7632 5.5992 0.5211289 0.24202930 501.15 0.7895 5.6164 0.5239821 0.265491631 511.34 0.8158 5.6660 0.5321718 0.283617632 513.15 0.8421 5.6748 0.5336265 0.308478733 530.6 0.8684 5.7595 0.5476512 0.320769834 559.8 0.8947 5.9014 0.5711195 0.323617335 606.79 0.9211 6.1298 0.6077375 0.313315136 698.54 0.9474 6.5756 0.6778475 0.269520937 772.4 0.9737 6.9345 0.7186684 0.2550158

Δo= 0.223583 Δmáx.= 0.2550158



HIDROLOGÍA GENERAL


ϒ= 4464.3658 β= -0.004414 Xo= 25.689412


1 192.3 0.0263 5.2590567 4628.4519 0.4600024 0.4336866 EXTRAPOLANDO PARA: ϒ=4464.37

2 245.65 0.0526 5.5039078 4572.9814 0.4383222 0.3856907 F(X)=G(Y) ϒ=10 ϒ=4464.37 ϒ=203 253.21 0.0789 5.5342192 4566.1144 0.4356383 0.356691 0.1 6.221 3707.357 14.534 276.35 0.1053 5.6216682 4546.3031 0.4278952 0.3226321 0.2 7.289 3963.215 16.175 289.55 0.1316 5.668328 4535.7324 0.4237638 0.2921848 0.3 8.133 4153.8152 17.446 294.12 0.1579 5.6839878 4532.1847 0.4223772 0.2644824 0.4 8.904 4314.498 18.577 307.83 0.1842 5.7295477 4521.8632 0.4183431 0.2341326 0.5 9.669 4464.4844 19.678 309.11 0.2105 5.7336972 4520.9231 0.4179757 0.2074494 0.6 10.476 4613.622 20.819 309.89 0.2368 5.7362174 4520.3522 0.4177525 0.1809104 0.7 11.387 4774.4448 22.08

10 320.02 0.2632 5.7683835 4513.0650 0.4149044 0.1517465 0.8 12.519 4961.7695 23.6311 332.99 0.2895 5.8081125 4504.0645 0.4113866 0.1219129 0.9 14.206 5223.1463 25.912 341.67 0.3158 5.8338454 4498.2348 0.4091081 0.0933186 0.95 15.705 5438.9005 27.8813 343.91 0.3421 5.84038 4496.7544 0.4085295 0.0664243 0.99 18.783 5839.3083 31.8514 345.93 0.3684 5.8462364 4495.4276 0.408011 0.039589915 372.64 0.3947 5.9206128 4478.5778 0.4014254 0.006688516 387.88 0.4211 5.960696 4469.4970 0.3978762 0.023176417 393.93 0.4474 5.9761732 4465.9907 0.3965058 0.050862618 395.49 0.4737 5.9801255 4465.0953 0.3961558 0.077528419 397.75 0.5000 5.9858237 4463.8044 0.3956513 0.1043487 MEDIA: 5.983345520 413.99 0.5263 6.0258418 4454.7384 0.3921079 0.1342079 DES. EST.: 0.294930821 424.17 0.5526 6.0501343 4449.2350 0.389957 0.1626746 COEF. SESGO: -0.02993322 424.67 0.5789 6.0513124 4448.9681 0.3898526 0.189094723 430.33 0.6053 6.0645524 4445.9686 0.3886803 0.216582824 442.71 0.6316 6.0929149 4439.5431 0.386169 0.2454125 454.41 0.6579 6.1189999 4433.6337 0.3838593 0.274035426 465.35 0.6842 6.1427898 4428.2441 0.3817528 0.302457727 468.58 0.7105 6.1497068 4426.6771 0.3811404 0.329385928 484.9 0.7368 6.1839427 4418.9210 0.378109 0.358733129 497.6 0.7632 6.2097965 4413.0639 0.3758198 0.387338130 501.15 0.7895 6.2169055 4411.4534 0.3751903 0.414283431 511.34 0.8158 6.2370347 4406.8931 0.373408 0.442381532 513.15 0.8421 6.2405682 4406.0926 0.3730951 0.469010233 530.6 0.8684 6.2740084 4398.5168 0.3701342 0.498286934 559.8 0.8947 6.3275796 4386.3804 0.3653907 0.529346135 606.79 0.9211 6.4081828 4368.1199 0.3582538 0.562798836 698.54 0.9474 6.5489924 4336.2198 0.3457859 0.601582537 772.4 0.9737 6.6495026 4313.4494 0.3368863 0.6367979

Δo= 0.223583 Δmáx.= 0.6367979


FINALMENTE LAS FUNCIONES DE DISTRIBUCIÓN A LAS QUE MÁS SE ADECÚA CON LA DISTRIBUCIÓN NORMALY LA DISTRIBUCIÓN LOG-NORMAL.


HIDROLOGÍA GENERAL





1 126.00 0.02632 -1.78 0.0375 0.0112222 19 292.10 0.50000 0.04 0.5160 0.01595342 156.20 0.05263 -1.45 0.0735 0.0208977 20 294.67 0.52632 0.07 0.5279 0.00158743 157.00 0.07895 -1.44 0.0749 0.0040137 21 305.05 0.55263 0.19 0.5753 0.02271394 169.67 0.10526 -1.30 0.0968 0.0084627 22 308.11 0.57895 0.22 0.5871 0.00811715 175.01 0.13158 -1.24 0.1075 0.0240913 23 310.38 0.60526 0.24 0.5948 0.01042836 193.02 0.15789 -1.04 0.1492 0.0087248 24 311.11 0.63158 0.25 0.5987 0.03287267 207.00 0.18421 -0.89 0.1867 0.0025224 25 321.09 0.65789 0.36 0.6406 0.01731838 208.77 0.21053 -0.87 0.1922 0.0183761 26 324.62 0.68421 0.40 0.6554 0.02878889 213.35 0.23684 -0.82 0.2061 0.0307341 27 325.15 0.71053 0.41 0.6591 0.0514293

10 231.65 0.26316 -0.62 0.2676 0.004471 28 344.93 0.73684 0.62 0.7324 0.00447111 233.90 0.28947 -0.59 0.2776 0.0118784 29 346.22 0.76316 0.64 0.7389 0.024244212 236.75 0.31579 -0.56 0.2877 0.0280498 30 349.06 0.78947 0.67 0.7486 0.040902613 245.59 0.34211 -0.47 0.2843 0.0577664 31 351.79 0.81579 0.70 0.7580 0.057753114 250.19 0.36842 -0.42 0.3015 0.0668893 32 355.32 0.84211 0.74 0.7704 0.071755315 257.12 0.39474 -0.34 0.2946 0.1001383 33 360.18 0.86842 0.79 0.7852 0.083184916 258.09 0.42105 -0.33 0.2981 0.1229967 34 413.86 0.89474 1.38 0.7823 0.112432317 281.23 0.44737 -0.08 0.4681 0.0207502 35 425.46 0.92105 1.51 0.9345 0.013425718 284.73 0.47368 -0.04 0.4840 0.0103624 36 505.21 0.94737 2.38 0.9913 0.0439753

37 529.86 0.97368 2.65 0.9960 0.0222912

Δo= 0.223583 Δmáx.= 0.1229967




1 126 0.02632 4.8362819 -2.39 0.0069469 0.01936892 156.2 0.05263 5.0511372 -1.73 0.0075494 0.04508223 157 0.07895 5.0562458 -1.72 0.0642555 0.01469194 169.66725 0.10526 5.1338392 -1.48 0.1093486 0.00408545 175.01 0.13158 5.1648431 -1.38 0.1423097 0.01073076 193.02 0.15789 5.2627938 -1.08 0.1538642 0.00403057 207 0.18421 5.3327188 -0.87 0.1948945 0.0106848 208.77 0.21053 5.3412332 -0.84 0.1976625 0.01286389 213.35 0.23684 5.362934 -0.77 0.2004542 0.0363879

10 231.65 0.26316 5.4452276 -0.52 0.2326951 0.030462811 233.90119 0.28947 5.4548988 -0.49 0.2775953 0.011878412 236.75 0.31579 5.4670047 -0.45 0.3050257 0.010763713 245.59 0.34211 5.5036635 -0.34 0.2809573 0.06114814 250.19 0.36842 5.5222206 -0.28 0.3227581 0.045662915 257.12406 0.39474 5.5495587 -0.20 0.340903 0.053833916 258.09 0.42105 5.5533084 -0.19 0.4681186 0.04706617 281.22604 0.44737 5.6391588 0.08 0.4920217 0.044653318 284.73 0.47368 5.6515414 0.12 0.4960106 0.0223264



HIDROLOGÍA GENERAL



19 292.1 0.50000 5.6770962 0.20 0.5039894 0.003989420 294.66515 0.52632 5.6858396 0.22 0.55567 0.029354221 305.05 0.55263 5.7204757 0.33 0.5909541 0.038322522 308.11 0.57895 5.7304569 0.36 0.5909541 0.012006723 310.38 0.60526 5.7377974 0.38 0.6102612 0.004998124 311.11 0.63158 5.7401465 0.39 0.6443088 0.012729825 321.09218 0.65789 5.7717282 0.49 0.6772419 0.019347226 324.62 0.68421 5.7826553 0.52 0.7054015 0.02119127 325.14528 0.71053 5.7842721 0.53 0.7122603 0.00173428 344.93 0.73684 5.8433415 0.71 0.7190427 0.017799429 346.22051 0.76316 5.8470759 0.72 0.7793501 0.016192230 349.05517 0.78947 5.85523 0.74 0.7852361 0.004237631 351.79 0.81579 5.8630344 0.77 0.8051055 0.01068432 355.32 0.84211 5.8730188 0.80 0.8078498 0.034255533 360.18094 0.86842 5.8866065 0.84 0.8389129 0.029508134 413.86359 0.89474 6.0255364 1.27 0.8339768 0.060760135 425.46 0.92105 6.0531709 1.35 0.9250663 0.004013736 505.21 0.94737 6.2249742 1.88 0.9725711 0.025202637 529.86 0.97368 6.2726128 2.03 0.9750021 0.0013179

Δo= 0.223583 Δmáx.= 0.061148




0.1 0.105 0.532 2.433 6.221 14.53

Y

0.2 0.223 0.824 3.09 7.289 16.170.3 0.357 1.097 3.634 8.133 17.440.4 0.511 1.376 4.148 8.904 18.570.5 0.639 1.678 4.671 9.669 19.670.6 0.916 2.022 5.237 10.476 20.810.7 1.204 2.439 5.89 11.387 22.080.8 1.609 2.994 6.721 12.519 23.630.9 2.303 3.89 7.994 14.206 25.9

0.95 2.996 4.744 9.154 15.705 27.880.99 4.605 6.638 11.605 18.783 31.85

Y






s²

HIDROLOGÍA GENERAL


ϒ= 10.676164 β= 27.893161 Xo= -9.699223


1 126 0.0263 4.8650 -0.073302 0.0996173 INTERPOLANDO PARA: ϒ=10.6762

2 156.2 0.0526 5.9477 0.024532 0.0280996 F(X)=G(Y) ϒ=10 ϒ=10.6762 ϒ=203 157 0.0789 5.9763 0.0271236 0.0518237 0.1 6.221 6.7828546 14.534 169.66725 0.1053 6.4305 0.0681594 0.0371037 0.2 7.289 7.8895332 16.175 175.01 0.1316 6.6220 0.0854674 0.0461115 0.3 8.133 8.7623393 17.446 193.02 0.1579 7.2677 0.1438112 0.0140836 0.4 8.904 9.5576149 18.577 207 0.1842 7.7689 0.1890997 0.0048891 0.5 9.669 10.345268 19.678 208.77 0.2105 7.8324 0.1948336 0.0156927 0.6 10.476 11.174785 20.819 213.35 0.2368 7.9966 0.2122619 0.0245802 0.7 11.387 12.110061 22.08

10 231.65 0.2632 8.6526 0.2874303 0.0242725 0.8 12.519 13.270326 23.6311 233.90119 0.2895 8.7333 0.2966773 0.0072036 0.9 14.206 14.996748 25.912 236.75 0.3158 8.8355 0.3083789 0.0074105 0.95 15.705 16.528274 27.8813 245.59 0.3421 9.1524 0.3446898 0.0025845 0.99 18.783 19.666591 31.8514 250.19 0.3684 9.3173 0.3635846 0.004836415 257.12406 0.3947 9.5659 0.4010523 0.006315416 258.09 0.4211 9.6005 0.4054489 0.015603717 281.22604 0.4474 10.4300 0.5102129 0.062844518 284.73 0.4737 10.5556 0.5253567 0.051672519 292.1 0.5000 10.8198 0.5572093 0.057209320 294.66515 0.5263 10.9118 0.5682957 0.041979921 305.05 0.5526 11.2841 0.611688 0.059056422 308.11 0.5789 11.3938 0.6234176 0.044470223 310.38 0.6053 11.4752 0.632119 0.026855824 311.11 0.6316 11.5014 0.6349172 0.003338325 321.09218 0.6579 11.8592 0.673181 0.015286326 324.62 0.6842 11.9857 0.6867039 0.002493427 325.14528 0.7105 12.0045 0.6887174 0.021808928 344.93 0.7368 12.7138 0.7520381 0.01519629 346.22051 0.7632 12.7601 0.7560257 0.007132230 349.05517 0.7895 12.8617 0.7647845 0.024689231 351.79 0.8158 12.9598 0.7732349 0.042554632 355.32 0.8421 13.0863 0.7841423 0.05796333 360.18094 0.8684 13.2606 0.7991621 0.06925934 413.86359 0.8947 15.1852 0.9109149 0.01617835 425.46 0.9211 15.6009 0.9349961 0.013943536 505.21 0.9474 18.4601 1.0115546 0.064186237 529.86 0.9737 19.3438 1.0397139 0.0660297

Δo= 0.223583 Δmáx.= 0.0660297



HIDROLOGÍA GENERAL


ϒ= 43.304577 β= -0.049347 Xo= 7.750556


1 126 0.0263 4.8362819 59.0570 0.9463839 0.9200681 EXTRAPOLANDO PARA: ϒ=43.3046

2 156.2 0.0526 5.0511372 54.7030 0.7999342 0.7473026 F(X)=G(Y) ϒ=10 ϒ=43.3046 ϒ=203 157 0.0789 5.0562458 54.5995 0.796452 0.7175047 0.1 6.221 33.893792 14.534 169.66725 0.1053 5.1338392 53.0271 0.7435628 0.6382997 0.2 7.289 36.866815 16.175 175.01 0.1316 5.1648431 52.3988 0.7224299 0.590851 0.3 8.133 39.129591 17.446 193.02 0.1579 5.2627938 50.4138 0.6556647 0.49777 0.4 8.904 41.096226 18.577 207 0.1842 5.3327188 48.9968 0.6080024 0.4237919 0.5 9.669 42.97693 19.678 208.77 0.2105 5.3412332 48.8243 0.6021989 0.3916725 0.6 10.476 44.892974 20.819 213.35 0.2368 5.362934 48.3845 0.5874071 0.350565 0.7 11.387 46.999609 22.08

10 231.65 0.2632 5.4452276 46.7169 0.5313141 0.2681562 0.8 12.519 49.523741 23.6311 233.90119 0.2895 5.4548988 46.5209 0.5247221 0.2352484 0.9 14.206 53.152399 25.912 236.75 0.3158 5.4670047 46.2756 0.5164704 0.2006809 0.95 15.705 56.25335 27.8813 245.59 0.3421 5.5036635 45.5327 0.4914831 0.1493778 0.99 18.783 62.302121 31.8514 250.19 0.3684 5.5222206 45.1566 0.4788341 0.110413115 257.12406 0.3947 5.5495587 44.6026 0.4601999 0.065463116 258.09 0.4211 5.5533084 44.5266 0.4576441 0.036591517 281.22604 0.4474 5.6391588 42.7869 0.3991267 0.048241718 284.73 0.4737 5.6515414 42.5360 0.3906865 0.082997719 292.1 0.5000 5.6770962 42.0181 0.3732678 0.1267322 MEDIA: 5.613612920 294.66515 0.5263 5.6858396 41.8409 0.3673081 0.1590077 DES. EST.: 0.324732721 305.05 0.5526 5.7204757 41.1390 0.3436994 0.2089322 COEF. SESGO: -0.30392322 308.11 0.5789 5.7304569 40.9368 0.3368961 0.242051323 310.38 0.6053 5.7377974 40.7880 0.3318926 0.273370524 311.11 0.6316 5.7401465 40.7404 0.3302914 0.301287625 321.09218 0.6579 5.7717282 40.1004 0.3087646 0.349130126 324.62 0.6842 5.7826553 39.8790 0.3013166 0.38289427 325.14528 0.7105 5.7842721 39.8462 0.3002145 0.410311828 344.93 0.7368 5.8433415 38.6492 0.2599516 0.476890529 346.22051 0.7632 5.8470759 38.5735 0.2574062 0.505751730 349.05517 0.7895 5.85523 38.4083 0.2518482 0.537625531 351.79 0.8158 5.8630344 38.2501 0.2465285 0.56926132 355.32 0.8421 5.8730188 38.0478 0.2397229 0.602382333 360.18094 0.8684 5.8866065 37.7724 0.2304613 0.637959834 413.86359 0.8947 6.0255364 34.9571 0.1357638 0.75897335 425.46 0.9211 6.0531709 34.3971 0.1169276 0.804125136 505.21 0.9474 6.2249742 30.9155 -0.000177 0.947545437 529.86 0.9737 6.2726128 29.9501 -0.032648 1.0063327

Δo= 0.223583 Δmáx.= 1.0063327


FINALMENTE LAS FUNCIONES DE DISTRIBUCIÓN A LAS QUE MÁS SE ADECÚA CON LA DISTRIBUCIÓN NORMALDISTRIBUCIÓN LOG NORMAL Y LA DISTRIBUCIÓN PEARSON TIPO III


HIDROLOGÍA GENERAL





1 90.43 0.02632 -1.76 0.0392 0.0128842 19 294.40 0.50000 -0.09 0.4641 0.035862 108.99 0.05263 -1.61 0.0537 0.0010684 20 299.98 0.52632 -0.05 0.4801 0.04625583 143.78 0.07895 -1.32 0.0934 0.0144726 21 312.90 0.55263 0.06 0.5239 0.02871164 168.15 0.10526 -1.12 0.1314 0.0260968 22 313.47 0.57895 0.07 0.5279 0.05104745 170.71 0.13158 -1.10 0.1357 0.0040911 23 316.67 0.60526 0.09 0.5359 0.06940326 175.20 0.15789 -1.07 0.1423 0.0155847 24 333.19 0.63158 0.23 0.5910 0.04062897 178.59 0.18421 -1.04 0.1492 0.0350405 25 343.67 0.65789 0.31 0.6217 0.03617478 182.37 0.21053 -1.01 0.1563 0.0542763 26 349.00 0.68421 0.36 0.6406 0.04363059 196.89 0.23684 -0.89 0.1867 0.0501121 27 364.51 0.71053 0.48 0.6844 0.0261363

10 200.73 0.26316 -0.86 0.1949 0.0682679 28 390.19 0.73684 0.69 0.7549 0.018057911 227.85 0.28947 -0.64 0.2611 0.0283837 29 413.50 0.76316 0.88 0.8106 0.047412112 240.28 0.31579 -0.53 0.2981 0.0177295 30 416.83 0.78947 0.91 0.8186 0.029116313 263.41 0.34211 -0.34 0.3669 0.0248247 31 424.24 0.81579 0.97 0.8340 0.018190514 265.17 0.36842 -0.33 0.3707 0.0022789 32 428.75 0.84211 1.01 0.8438 0.001644715 272.79 0.39474 -0.27 0.3936 0.0011568 33 444.01 0.86842 1.13 0.8708 0.002338916 279.63 0.42105 -0.21 0.4168 0.0042226 34 475.72 0.89474 1.39 0.9177 0.023003217 285.54 0.44737 -0.16 0.4364 0.0109284 35 486.94 0.92105 1.49 0.9319 0.010837418 290.82 0.47368 -0.12 0.4522 0.0214442 36 528.87 0.94737 1.83 0.9964 0.0490116

37 625.90 0.97368 2.62 0.9956 0.0219158

Δo= 0.223583 Δmáx.= 0.0694032




1 90.43 0.02632 4.5045761 -2.59 0.0048 0.02151582 108.99 0.05263 4.6912561 -2.16 0.01539 0.03724163 143.78 0.07895 4.9682844 -1.53 0.06301 0.01593744 168.15 0.10526 5.1248564 -1.17 0.121 0.01573685 170.71 0.13158 5.1399662 -1.13 0.12924 0.00233896 175.2 0.15789 5.1659282 -1.07 0.14231 0.01558477 178.59 0.18421 5.1850927 -1.03 0.1515 0.03271058 182.37 0.21053 5.2060376 -0.98 0.16354 0.04698639 196.89 0.23684 5.2826452 -0.81 0.20897 0.0278721

10 200.73 0.26316 5.3019607 -0.76 0.22363 0.039527911 227.85 0.28947 5.4286875 -0.47 0.31918 0.029706312 240.28 0.31579 5.4818049 -0.35 0.36317 0.047380513 263.41 0.34211 5.5737118 -0.14 0.44433 0.102224714 265.17 0.36842 5.5803711 -0.13 0.44828 0.079858915 272.79 0.39474 5.6087023 -0.06 0.47608 0.081343216 279.63 0.42105 5.6334673 -0.01 0.49601 0.074957417 285.54 0.44737 5.6543821 0.04 0.51595 0.068581618 290.82 0.47368 5.6727045 0.08 0.53188 0.0581958



HIDROLOGÍA GENERAL



19 294.4 0.50000 5.6849394 0.11 0.5438 0.043820 299.98 0.52632 5.7037158 0.15 0.55962 0.033304221 312.9 0.55263 5.7458837 0.25 0.59871 0.046078422 313.47 0.57895 5.7477037 0.25 0.59871 0.019762623 316.67 0.60526 5.7578602 0.28 0.61026 0.004996824 333.19 0.63158 5.8087129 0.39 0.65173 0.020151125 343.67 0.65789 5.8396819 0.46 0.67724 0.019345326 349 0.68421 5.8550719 0.50 0.69146 0.007249527 364.51 0.71053 5.898554 0.60 0.72575 0.015223728 390.19 0.73684 5.9666338 0.75 0.77337 0.036527929 413.5 0.76316 6.0246575 0.89 0.81327 0.050112130 416.83 0.78947 6.0326785 0.91 0.81859 0.029116331 424.24 0.81579 6.0502993 0.95 0.82894 0.013150532 428.75 0.84211 6.060874 0.97 0.83398 0.008125333 444.01 0.86842 6.0958471 1.05 0.85314 0.015281134 475.72 0.89474 6.1648294 1.21 0.88686 0.007876835 486.94 0.92105 6.1881409 1.26 0.89617 0.024882636 528.87 0.94737 6.2707427 1.45 0.92647 0.020898437 625.9 0.97368 6.4391906 1.83 0.99638 0.0226958

Δo= 0.223583 Δmáx.= 0.1022247




0.1 0.105 0.532 2.433 6.221 14.53

Y

0.2 0.223 0.824 3.09 7.289 16.170.3 0.357 1.097 3.634 8.133 17.440.4 0.511 1.376 4.148 8.904 18.570.5 0.639 1.678 4.671 9.669 19.670.6 0.916 2.022 5.237 10.476 20.810.7 1.204 2.439 5.89 11.387 22.080.8 1.609 2.994 6.721 12.519 23.630.9 2.303 3.89 7.994 14.206 25.9

0.95 2.996 4.744 9.154 15.705 27.880.99 4.605 6.638 11.605 18.783 31.85

Y






s²

HIDROLOGÍA GENERAL


ϒ= 19.085714 β= 27.963104 Xo= -228.1804


1 90.43 0.0263 11.3940 -0.049672 0.0759882 INTERPOLANDO PARA: ϒ=10.6762

2 108.99 0.0526 12.0577 -0.007868 0.0604994 F(X)=G(Y) ϒ=10 ϒ=19.0857 ϒ=203 143.78 0.0789 13.3018 0.0704932 0.0084542 0.1 6.221 13.770308 14.534 168.15 0.1053 14.1733 0.1253842 0.020121 0.2 7.289 15.35801 16.175 170.71 0.1316 14.2649 0.1311504 0.0004286 0.3 8.133 16.589061 17.446 175.2 0.1579 14.4255 0.1412636 0.0166311 0.4 8.904 17.686238 18.577 178.59 0.1842 14.5467 0.1488993 0.0353113 0.5 9.669 18.755609 19.678 182.37 0.2105 14.6819 0.1574133 0.053113 0.6 10.476 19.865162 20.819 196.89 0.2368 15.2011 0.1901182 0.0467239 0.7 11.387 21.102339 22.08

10 200.73 0.2632 15.3384 0.1987674 0.0643905 0.8 12.519 22.614121 23.6311 227.85 0.2895 16.3083 0.2771926 0.0122811 0.9 14.206 24.830818 25.912 240.28 0.3158 16.7528 0.314924 0.0008654 0.95 15.705 26.76684 27.8813 263.41 0.3421 17.5800 0.390314 0.0482088 0.99 18.783 30.655284 31.8514 265.17 0.3684 17.6429 0.3960506 0.027629515 272.79 0.3947 17.9154 0.4214303 0.026693516 279.63 0.4211 18.1600 0.4443044 0.023251717 285.54 0.4474 18.3714 0.4640683 0.016699918 290.82 0.4737 18.5602 0.4817254 0.008041219 294.4 0.5000 18.6882 0.4936975 0.006302520 299.98 0.5263 18.8878 0.5119103 0.014405421 312.9 0.5526 19.3498 0.5535521 0.000920522 313.47 0.5789 19.3702 0.5553892 0.023558223 316.67 0.6053 19.4846 0.5657029 0.039560224 333.19 0.6316 20.0754 0.6169931 0.014585925 343.67 0.6579 20.4502 0.6472862 0.010608526 349 0.6842 20.6408 0.6626929 0.021517627 364.51 0.7105 21.1954 0.7061586 0.004367728 390.19 0.7368 22.1138 0.766905 0.030062929 413.5 0.7632 22.9474 0.8150347 0.051876830 416.83 0.7895 23.0665 0.8204069 0.030933231 424.24 0.8158 23.3315 0.8323613 0.016571832 428.75 0.8421 23.4928 0.8396372 0.002468133 444.01 0.8684 24.0385 0.8642557 0.004165334 475.72 0.8947 25.1725 0.9176471 0.022910335 486.94 0.9211 25.5737 0.8693161 0.051736536 528.87 0.9474 27.0732 0.9578785 0.0105137 625.9 0.9737 30.5431 1.0471154 0.0734312

Δo= 0.223583 Δmáx.= 0.0734312



HIDROLOGÍA GENERAL


ϒ= 11.561118 β= -0.128721 Xo= 7.12439



2 108.99 0.0526 4.6912561 18.9023 1.0836931 1.0310615 F(X)=G(Y) ϒ=10 ϒ=11.5611 ϒ=203 143.78 0.0789 4.9682844 16.7502 0.8977287 0.8187813 0.1 6.221 7.518118 14.534 168.15 0.1053 5.1248564 15.5338 0.7926245 0.6873614 0.2 7.289 8.6754129 16.175 170.71 0.1316 5.1399662 15.4164 0.7824816 0.6509026 0.3 8.133 9.5859158 17.446 175.2 0.1579 5.1659282 15.2148 0.7650537 0.607159 0.4 8.904 10.412959 18.577 178.59 0.1842 5.1850927 15.0659 0.7521889 0.5679784 0.5 9.669 11.230256 19.678 182.37 0.2105 5.2060376 14.9032 0.738129 0.5276027 0.6 10.476 12.089241 20.819 196.89 0.2368 5.2826452 14.3080 0.6867036 0.4498615 0.7 11.387 13.056284 22.08

10 200.73 0.2632 5.3019607 14.1580 0.6737374 0.4105795 0.8 12.519 14.253538 23.6311 227.85 0.2895 5.4286875 13.1734 0.5886678 0.2991942 0.9 14.206 16.03155 25.912 240.28 0.3158 5.4818049 12.7608 0.553011 0.2372216 0.95 15.705 17.605639 27.8813 263.41 0.3421 5.5737118 12.0468 0.4913155 0.1492103 0.99 18.783 20.822889 31.8514 265.17 0.3684 5.5803711 11.9951 0.4868452 0.118424115 272.79 0.3947 5.6087023 11.7750 0.467827 0.073090116 279.63 0.4211 5.6334673 11.5826 0.4512026 0.0301517 285.54 0.4474 5.6543821 11.4201 0.4371629 0.010205518 290.82 0.4737 5.6727045 11.2777 0.4248634 0.048820919 294.4 0.5000 5.6849394 11.1827 0.4166503 0.0833497 MEDIA: 5.636228420 299.98 0.5263 5.7037158 11.0368 0.404046 0.1222698 DES. EST.: 0.437673421 312.9 0.5526 5.7458837 10.7092 0.3757394 0.1768921 COEF. SESGO: -0.58820722 313.47 0.5789 5.7477037 10.6951 0.3745177 0.204429723 316.67 0.6053 5.7578602 10.6162 0.3676998 0.237563424 333.19 0.6316 5.8087129 10.2211 0.3335632 0.298015725 343.67 0.6579 5.8396819 9.9805 0.3127743 0.345120526 349 0.6842 5.8550719 9.8610 0.3024432 0.381767327 364.51 0.7105 5.898554 9.5232 0.2732544 0.437271928 390.19 0.7368 5.9666338 8.9943 0.2275536 0.509288529 413.5 0.7632 6.0246575 8.5435 0.1886033 0.574554630 416.83 0.7895 6.0326785 8.4812 0.1832189 0.606254731 424.24 0.8158 6.0502993 8.3443 0.1713903 0.644399132 428.75 0.8421 6.060874 8.2622 0.1642918 0.677813533 444.01 0.8684 6.0958471 7.9905 0.1408149 0.727606134 475.72 0.8947 6.1648294 7.4546 0.0945082 0.800228635 486.94 0.9211 6.1881409 7.2735 0.0788596 0.84219336 528.87 0.9474 6.2707427 6.6318 0.0234105 0.923957937 625.9 0.9737 6.4391906 5.3231 -0.089666 1.06335

Δo= 0.223583 Δmáx.= 1.1826924




HIDROLOGÍA GENERAL





1 90.43 0.02632 -2.45 0.0071 0.0191758 19 312.56 0.50000 0.01 0.5040 0.003992 168.15 0.05263 -1.59 0.0559 0.0032884 20 312.90 0.52632 0.02 0.5080 0.01833583 169.75 0.07895 -1.57 0.0582 0.0207374 21 313.47 0.55263 0.02 0.5080 0.04465164 170.71 0.10526 -1.56 0.0594 0.0458832 22 316.67 0.57895 0.06 0.5239 0.05502745 182.37 0.13158 -1.43 0.0764 0.0552189 23 323.05 0.60526 0.13 0.5517 0.05354326 219.10 0.15789 -1.02 0.0539 0.1040347 24 333.19 0.63158 0.24 0.5948 0.03674897 227.85 0.18421 -0.93 0.1562 0.0280205 25 345.01 0.65789 0.37 0.6443 0.01358478 240.28 0.21053 -0.79 0.2175 0.0069337 26 348.33 0.68421 0.41 0.6591 0.02511059 262.19 0.23684 -0.55 0.2812 0.0443179 27 376.37 0.71053 0.72 0.7642 0.0537137

10 265.17 0.26316 -0.51 0.3050 0.0418721 28 387.14 0.73684 0.84 0.7996 0.062707911 271.07 0.28947 -0.45 0.3264 0.0368863 29 391.27 0.76316 0.89 0.8133 0.050112112 272.77 0.31579 -0.43 0.3336 0.0178105 30 406.97 0.78947 1.06 0.8554 0.065956313 279.63 0.34211 -0.35 0.3632 0.0210647 31 413.50 0.81579 1.13 0.8708 0.054970514 290.82 0.36842 -0.23 0.4091 0.0406289 32 416.83 0.84211 1.17 0.8790 0.036894715 293.55 0.39474 -0.20 0.4207 0.0260032 33 424.24 0.86842 1.25 0.8944 0.025928916 294.40 0.42105 -0.19 0.4246 0.0035974 34 428.75 0.89474 1.30 0.9032 0.008463217 309.53 0.44737 -0.02 0.4920 0.0446516 35 434.54 0.92105 1.37 0.9147 0.006392618 310.29 0.47368 -0.01 0.4960 0.0223258 36 444.01 0.94737 1.47 0.9292 0.0181484

37 475.72 0.97368 1.82 0.9656 0.0080642

Δo= 0.223583 Δmáx.= 0.1040347




1 90.43 0.02632 4.5045761 -3.45 0.00028 0.02603582 168.15 0.05263 5.1248564 -1.65 0.04947 0.00316163 169.75098 0.07895 5.1343325 -1.62 0.05262 0.02632744 170.71 0.10526 5.1399662 -1.60 0.0548 0.05046325 182.37 0.13158 5.2060376 -1.41 0.07927 0.05230896 219.10428 0.15789 5.3895478 -0.88 0.18943 0.03153537 227.85 0.18421 5.4286875 -0.76 0.22363 0.03941958 240.28 0.21053 5.4818049 -0.61 0.27093 0.06040379 262.19307 0.23684 5.5690812 -0.35 0.36317 0.1263279

10 265.17 0.26316 5.5803711 -0.32 0.37448 0.111322111 271.06938 0.28947 5.6023748 -0.26 0.39743 0.107956312 272.77458 0.31579 5.6086458 -0.24 0.40517 0.089380513 279.63 0.34211 5.6334673 -0.17 0.43251 0.090404714 290.82 0.36842 5.6727045 -0.05 0.48006 0.111638915 293.5472 0.39474 5.6820384 -0.03 0.48803 0.093293216 294.4 0.42105 5.6849394 -0.02 0.49202 0.070967417 309.53117 0.44737 5.7350588 0.13 0.55172 0.104351618 310.29167 0.47368 5.7375127 0.14 0.55567 0.0819858



HIDROLOGÍA GENERAL



19 312.56187 0.50000 5.7448024 0.16 0.56356 0.0635620 312.9 0.52632 5.7458837 0.16 0.56356 0.037244221 313.47 0.55263 5.7477037 0.17 0.56749 0.014858422 316.67 0.57895 5.7578602 0.19 0.57535 0.003597423 323.0486 0.60526 5.7778028 0.25 0.59871 0.006553224 333.19 0.63158 5.8087129 0.34 0.63307 0.001491125 345.01048 0.65789 5.8435748 0.44 0.67003 0.012135326 348.33004 0.68421 5.8531504 0.47 0.68082 0.003390527 376.36687 0.71053 5.9305644 0.70 0.75804 0.047513728 387.14245 0.73684 5.9587927 0.78 0.7873 0.050457929 391.27291 0.76316 5.9694053 0.81 0.79103 0.027872130 406.97178 0.78947 6.0087438 0.92 0.82121 0.031736331 413.5 0.81579 6.0246575 0.97 0.83398 0.018190532 416.83 0.84211 6.0326785 0.99 0.83891 0.003195333 424.24 0.86842 6.0502993 1.05 0.85314 0.015281134 428.75 0.89474 6.060874 1.08 0.85993 0.034806835 434.54255 0.92105 6.0742939 1.12 0.86864 0.052412636 444.01 0.94737 6.0958471 1.18 0.881 0.066368437 475.72 0.97368 6.1648294 1.38 0.91621 0.0574742

Δo= 0.223583 Δmáx.= 0.1116389




0.1 0.105 0.532 2.433 6.221 14.53

Y

0.2 0.223 0.824 3.09 7.289 16.170.3 0.357 1.097 3.634 8.133 17.440.4 0.511 1.376 4.148 8.904 18.570.5 0.639 1.678 4.671 9.669 19.670.6 0.916 2.022 5.237 10.476 20.810.7 1.204 2.439 5.89 11.387 22.080.8 1.609 2.994 6.721 12.519 23.630.9 2.303 3.89 7.994 14.206 25.9

0.95 2.996 4.744 9.154 15.705 27.880.99 4.605 6.638 11.605 18.783 31.85

Y






s²

HIDROLOGÍA GENERAL


ϒ= 43.915873 β= -13.60287 Xo= 908.80351


1 90.43 0.0263 60.1618 1.0418444 1.0155286 EXTRAPOLANDO PARA: ϒ=43.9159

2 168.15 0.0526 54.4483 0.9185626 0.865931 F(X)=G(Y) ϒ=10 ϒ=43.9159 ϒ=203 169.75098 0.0789 54.3306 0.9148028 0.8358555 0.1 6.221 34.401721 14.534 170.71 0.1053 54.2601 0.9125506 0.8072875 0.2 7.289 37.409711 16.175 182.37 0.1316 53.4030 0.8873293 0.7557503 0.3 8.133 39.698528 17.446 219.10428 0.1579 50.7025 0.8136322 0.6557375 0.4 8.904 41.687109 18.577 227.85 0.1842 50.0595 0.7960863 0.6118758 0.5 9.669 43.588292 19.678 240.28 0.2105 49.1458 0.771149 0.5606227 0.6 10.476 45.524691 20.819 262.19307 0.2368 47.5349 0.6944368 0.4575947 0.7 11.387 47.653272 22.08

10 265.17 0.2632 47.3160 0.6841555 0.4209977 0.8 12.519 50.202956 23.6311 271.06938 0.2895 46.8823 0.6637811 0.3743074 0.9 14.206 53.867253 25.912 272.77458 0.3158 46.7570 0.6578919 0.3421024 0.95 15.705 56.997608 27.8813 279.63 0.3421 46.2530 0.6342157 0.2921104 0.99 18.783 63.100907 31.8514 290.82 0.3684 45.4304 0.5951295 0.226708415 293.5472 0.3947 45.2299 0.5847759 0.19003916 294.4 0.4211 45.1672 0.5815383 0.160485717 309.53117 0.4474 44.0548 0.524094 0.076725618 310.29167 0.4737 43.9989 0.5212068 0.047522619 312.56187 0.5000 43.8320 0.5125881 0.012588120 312.9 0.5263 43.8072 0.5113045 0.015011321 313.47 0.5526 43.7653 0.5091405 0.043491122 316.67 0.5789 43.5300 0.4969362 0.082011123 323.0486 0.6053 43.0611 0.4722718 0.132991424 333.19 0.6316 42.3156 0.4330576 0.198521325 345.01048 0.6579 41.4466 0.3879067 0.26998826 348.33004 0.6842 41.2026 0.375635 0.308575527 376.36687 0.7105 39.1415 0.2756628 0.434863528 387.14245 0.7368 38.3493 0.241053 0.495789129 391.27291 0.7632 38.0457 0.2277865 0.535371430 406.97178 0.7895 36.8916 0.1827758 0.606697931 413.5 0.8158 36.4117 0.1668211 0.648968432 416.83 0.8421 36.1669 0.1586827 0.683422533 424.24 0.8684 35.6222 0.140573 0.72784834 428.75 0.8947 35.2906 0.1295508 0.765186135 434.54255 0.9211 34.8648 0.1153941 0.805658636 444.01 0.9474 34.1688 0.092256 0.855112437 475.72 0.9737 31.8377 0.0147582 0.958926

Δo= 0.223583 Δmáx.= 1.0155286



HIDROLOGÍA GENERAL


ϒ= 2.199616 β= -0.231706 Xo= 6.2006495



2 168.15 0.0526 5.1248564 4.6429 1.3597531 1.3071215 F(X)=G(Y) ϒ=2 ϒ=2.19962 ϒ=53 169.75098 0.0789 5.1343325 4.6020 1.3468227 1.2678753 0.1 0.532 0.6584925 2.4334 170.71 0.1053 5.1399662 4.5777 1.3391354 1.2338722 0.2 0.824 0.9747796 3.095 182.37 0.1316 5.2060376 4.2926 1.2489793 1.1174003 0.3 1.097 1.265812 3.6346 219.10428 0.1579 5.3895478 3.5006 0.9985748 0.8406801 0.4 1.376 1.5604489 4.1487 227.85 0.1842 5.4286875 3.3316 0.9451676 0.7609571 0.5 1.678 1.8771542 4.6718 240.28 0.2105 5.4818049 3.1024 0.8726876 0.6621613 0.6 2.022 2.2359261 5.2379 262.19307 0.2368 5.5690812 2.7257 0.7535969 0.5167548 0.7 2.439 2.6686295 5.89

10 265.17 0.2632 5.5803711 2.6770 0.7381914 0.4750335 0.8 2.994 3.2419946 6.72111 271.06938 0.2895 5.6023748 2.5820 0.7081668 0.4186931 0.9 3.89 4.1630802 7.99412 272.77458 0.3158 5.6086458 2.5550 0.6996099 0.3838205 0.95 4.744 5.0374414 9.15413 279.63 0.3421 5.6334673 2.4479 0.6657403 0.323635 0.99 6.638 6.9685042 11.60514 290.82 0.3684 5.6727045 2.2785 0.6122001 0.24377915 293.5472 0.3947 5.6820384 2.2382 0.5994637 0.204726916 294.4 0.4211 5.6849394 2.2257 0.5955053 0.174452717 309.53117 0.4474 5.7350588 2.0094 0.527116 0.079747618 310.29167 0.4737 5.7375127 1.9988 0.5237676 0.050083419 312.56187 0.5000 5.7448024 1.9674 0.5138206 0.0138206 MEDIA: 5.690985920 312.9 0.5263 5.7458837 1.9627 0.5123453 0.0139705 DES. EST.: 0.343645121 313.47 0.5526 5.7477037 1.9548 0.5098618 0.0427698 COEF. SESGO: -1.34851722 316.67 0.5789 5.7578602 1.9110 0.4960029 0.082944523 323.0486 0.6053 5.7778028 1.8249 0.4687908 0.136472424 333.19 0.6316 5.8087129 1.6915 0.4266131 0.204965825 345.01048 0.6579 5.8435748 1.5411 0.3790431 0.278851626 348.33004 0.6842 5.8531504 1.4997 0.3659769 0.318233627 376.36687 0.7105 5.9305644 1.1656 0.2603436 0.450182728 387.14245 0.7368 5.9587927 1.0438 0.2218253 0.515016829 391.27291 0.7632 5.9694053 0.9980 0.2073441 0.555813730 406.97178 0.7895 6.0087438 0.8282 0.1536657 0.63580831 413.5 0.8158 6.0246575 0.7595 0.131951 0.683838432 416.83 0.8421 6.0326785 0.7249 0.1210062 0.72109933 424.24 0.8684 6.0502993 0.6489 0.0969621 0.771458934 428.75 0.8947 6.060874 0.6032 0.0825327 0.812204135 434.54255 0.9211 6.0742939 0.5453 0.0642209 0.856831736 444.01 0.9474 6.0958471 0.4523 0.034811 0.912557437 475.72 0.9737 6.1648294 0.1546 -0.059317 1.0330014

Δo= 0.223583 Δmáx.= 2.179826


FINALMENTE LAS FUNCIONES DE DISTRIBUCIÓN A LAS QUE MÁS SE ADECÚA CON LA DISTRIBUCIÓN NORMALDISTRIBUCIÓN LOG NORMAL


HIDROLOGÍA GENERAL





1 393.11 0.02632 -2.73 0.0032 0.0231458 19 968.87 0.50000 0.02 0.5080 0.007982 563.47 0.05263 -1.92 0.0274 0.0252016 20 971.70 0.52632 0.03 0.5120 0.01434583 620.49 0.07895 -1.64 0.0505 0.0284474 21 977.06 0.55263 0.06 0.5239 0.02871164 696.22 0.10526 -1.28 0.1003 0.0049932 22 988.04 0.57895 0.11 0.5438 0.03514745 765.28 0.13158 -0.95 0.1711 0.0394811 23 997.98 0.60526 0.16 0.5636 0.04170326 780.52 0.15789 -0.88 0.1894 0.0315353 24 1040.60 0.63158 0.36 0.6406 0.00900117 781.95 0.18421 -0.87 0.1922 0.0079395 25 1057.15 0.65789 0.44 0.6700 0.01213538 821.72 0.21053 -0.68 0.2483 0.0377237 26 1070.09 0.68421 0.50 0.6915 0.00724959 825.74 0.23684 -0.66 0.2546 0.0177879 27 1072.08 0.71053 0.51 0.6950 0.0155563

10 851.01 0.26316 -0.54 0.1949 0.0682679 28 1095.34 0.73684 0.62 0.7324 0.004472111 867.34 0.28947 -0.47 0.3192 0.0297063 29 1105.95 0.76316 0.67 0.7486 0.014587912 898.40 0.31579 -0.32 0.3783 0.0624905 30 1147.01 0.78947 0.87 0.8079 0.018376313 906.00 0.34211 -0.28 0.3897 0.0476347 31 1189.24 0.81579 1.07 0.8577 0.041900514 908.30 0.36842 -0.27 0.3936 0.0251589 32 1207.52 0.84211 1.16 0.8770 0.034874715 912.44 0.39474 -0.25 0.4013 0.0065532 33 1225.12 0.86842 1.24 0.8925 0.024088916 915.22 0.42105 -0.24 0.4052 0.0158826 34 1235.11 0.89474 1.29 0.9015 0.006733217 962.74 0.44737 -0.01 0.4960 0.0486416 35 1242.40 0.92105 1.32 0.9066 0.014472618 966.75 0.47368 0.01 0.5040 0.0303058 36 1303.21 0.94737 1.61 0.9463 0.0010684

37 1371.78 0.97368 1.94 0.9738 0.0001258

Δo= 0.223583 Δmáx.= 0.0682679




1 393.1096 0.02632 5.9740884 -3.52 0.00021 0.02610582 563.47335 0.05263 6.33412 -2.07 0.01923 0.03340163 620.49 0.07895 6.4305095 -1.68 0.04648 0.03246744 696.22 0.10526 6.5456657 -1.21 0.11314 0.00787685 765.28317 0.13158 6.6402459 -0.83 0.20327 0.07169116 780.52 0.15789 6.6599604 -0.75 0.22663 0.06873537 781.95 0.18421 6.6617908 -0.74 0.22965 0.04543958 821.72 0.21053 6.7113997 -0.54 0.2946 0.08407379 825.74 0.23684 6.71628 -0.52 0.30153 0.0646879

10 851.01399 0.26316 6.7464286 -0.40 0.34458 0.081422111 867.34 0.28947 6.7654311 -0.32 0.37448 0.085006312 898.39978 0.31579 6.8006152 -0.18 0.42465 0.108860513 905.99859 0.34211 6.8090378 -0.15 0.44038 0.098274714 908.3 0.36842 6.8115747 -0.14 0.44433 0.075908915 912.44 0.39474 6.8161223 -0.12 0.45224 0.057503216 915.22 0.42105 6.8191645 -0.11 0.4562 0.035147417 962.74 0.44737 6.8697834 0.10 0.53983 0.092461618 966.75 0.47368 6.8739399 0.12 0.54776 0.0740758



HIDROLOGÍA GENERAL



19 968.87 0.50000 6.8761304 0.13 0.55172 0.0517220 971.69564 0.52632 6.8790426 0.14 0.55567 0.029354221 977.0582 0.55263 6.8845462 0.16 0.56356 0.010928422 988.04444 0.57895 6.8957277 0.20 0.57926 0.000312623 997.97783 0.60526 6.9057311 0.24 0.59483 0.010433224 1040.6 0.63158 6.9475527 0.41 0.6591 0.027521125 1057.15 0.65789 6.9633319 0.48 0.63439 0.023504726 1070.09 0.68421 6.975498 0.53 0.70194 0.017729527 1072.08 0.71053 6.977356 0.53 0.70194 0.008586328 1095.3425 0.73684 6.9988224 0.62 0.73237 0.004472129 1105.9482 0.76316 7.0084583 0.66 0.74537 0.017787930 1147.01 0.78947 7.0449138 0.81 0.79103 0.001556331 1189.24 0.81579 7.0810697 0.95 0.82894 0.013150532 1207.52 0.84211 7.0963239 1.02 0.84614 0.004034733 1225.1183 0.86842 7.1107927 1.07 0.85769 0.010731134 1235.11 0.89474 7.1189153 1.11 0.8665 0.028236835 1242.4 0.92105 7.1248003 1.13 0.87076 0.050292636 1303.21 0.94737 7.1725857 1.32 0.90658 0.040788437 1371.7822 0.97368 7.223866 1.53 0.93699 0.0366942

Δo= 0.223583 Δmáx.= 0.1088605




0.1 0.105 0.532 2.433 6.221 14.53

Y

0.2 0.223 0.824 3.09 7.289 16.170.3 0.357 1.097 3.634 8.133 17.440.4 0.511 1.376 4.148 8.904 18.570.5 0.639 1.678 4.671 9.669 19.670.6 0.916 2.022 5.237 10.476 20.810.7 1.204 2.439 5.89 11.387 22.080.8 1.609 2.994 6.721 12.519 23.630.9 2.303 3.89 7.994 14.206 25.9

0.95 2.996 4.744 9.154 15.705 27.880.99 4.605 6.638 11.605 18.783 31.85

Y






s²

HIDROLOGÍA GENERAL


ϒ= 21.12914 β= -45.58359 Xo= 1928.0869


1 393.1096 0.0263 33.6739 1.0585612 1.0322454 EXTRAPOLANDO PARA: ϒ=21.1291

2 563.47335 0.0526 29.9365 0.9667496 0.914118 F(X)=G(Y) ϒ=10 ϒ=21.1291 ϒ=203 620.49 0.0789 28.6857 0.9720304 0.8930831 0.1 6.221 15.468169 14.534 696.22 0.1053 27.0243 0.891608 0.7863449 0.2 7.289 17.172754 16.175 765.28317 0.1316 25.5093 0.826745 0.695166 0.3 8.133 18.490853 17.446 780.52 0.1579 25.1750 0.8124348 0.6545401 0.4 8.904 19.661388 18.577 781.95 0.1842 25.1436 0.8110918 0.6268812 0.5 9.669 20.799213 19.678 821.72 0.2105 24.2712 0.7737404 0.5632141 0.6 10.476 21.976812 20.819 825.74 0.2368 24.1830 0.756075 0.5192329 0.7 11.387 23.287347 22.08

10 851.01399 0.2632 23.6285 0.7213608 0.4582029 0.8 12.519 24.884543 23.6311 867.34 0.2895 23.2704 0.6989368 0.4094631 0.9 14.206 27.22037 25.912 898.39978 0.3158 22.5890 0.6562758 0.3404863 0.95 15.705 29.254679 27.8813 905.99859 0.3421 22.4223 0.6458387 0.3037334 0.99 18.783 33.325395 31.8514 908.3 0.3684 22.3718 0.6426777 0.274256615 912.44 0.3947 22.2810 0.6369913 0.242254516 915.22 0.4211 22.2200 0.633173 0.212120317 962.74 0.4474 21.1775 0.5321242 0.084755818 966.75 0.4737 21.0895 0.5246539 0.050969719 968.87 0.5000 21.0430 0.5207045 0.020704520 971.69564 0.5263 20.9810 0.5154406 0.010875221 977.0582 0.5526 20.8634 0.5054506 0.04718122 988.04444 0.5789 20.6224 0.4844592 0.094488223 997.97783 0.6053 20.4045 0.366479 0.238784224 1040.6 0.6316 19.4694 0.3836014 0.247977625 1057.15 0.6579 19.1064 0.352584 0.305310726 1070.09 0.6842 18.8225 0.3283323 0.355878227 1072.08 0.7105 18.7788 0.3246028 0.385923528 1095.3425 0.7368 18.2685 0.2831316 0.453710529 1105.9482 0.7632 18.0358 0.2654801 0.497677830 1147.01 0.7895 17.1350 0.1977878 0.591685931 1189.24 0.8158 16.2086 0.1434384 0.67235132 1207.52 0.8421 15.8076 0.1199124 0.722192933 1225.1183 0.8684 15.4215 0.0972636 0.771157434 1235.11 0.8947 15.2023 0.0844045 0.810332335 1242.4 0.9211 15.0424 0.0750224 0.846030236 1303.21 0.9474 13.7084 -0.003239 0.950607537 1371.7822 0.9737 12.2041 -0.09149 1.0651745

Δo= 0.223583 Δmáx.= 1.0651745



HIDROLOGÍA GENERAL


ϒ= 2.0647059 β= -0.172099 Xo= 7.2005126



2 563.47335 0.0526 6.33412 5.0343 0.9602385 0.907607 F(X)=G(Y) ϒ=2 ϒ=2.06471 ϒ=53 620.49 0.0789 6.4305095 4.4742 0.9308536 0.8519062 0.1 0.532 0.5730046 2.4334 696.22 0.1053 6.5456657 3.8051 0.8798441 0.774581 0.2 0.824 0.8728776 3.095 765.28317 0.1316 6.6402459 3.2555 0.8159853 0.6844064 0.3 1.097 1.1517231 3.6346 780.52 0.1579 6.6599604 3.1409 0.8026745 0.6447798 0.4 1.376 1.435792 4.1487 781.95 0.1842 6.6617908 3.1303 0.8014386 0.6172281 0.5 1.678 1.742559 4.6718 821.72 0.2105 6.7113997 2.8420 0.7585802 0.5480539 0.6 2.022 2.0913475 5.2379 825.74 0.2368 6.71628 2.8137 0.753525 0.5166829 0.7 2.439 2.5134381 5.89

10 851.01399 0.2632 6.7464286 2.6385 0.7222957 0.4591378 0.8 2.994 3.0743914 6.72111 867.34 0.2895 6.7654311 2.5281 0.702612 0.4131383 0.9 3.89 3.9785233 7.99412 898.39978 0.3158 6.8006152 2.3236 0.6661667 0.3503772 0.95 4.744 4.8391237 9.15413 905.99859 0.3421 6.8090378 2.2747 0.6574422 0.3153369 0.99 6.638 6.7451382 11.60514 908.3 0.3684 6.8115747 2.2600 0.6548143 0.286393215 912.44 0.3947 6.8161223 2.2335 0.6501037 0.255366816 915.22 0.4211 6.8191645 2.2159 0.6469525 0.225899817 962.74 0.4474 6.8697834 1.9217 0.5513722 0.104003818 966.75 0.4737 6.8739399 1.8976 0.5444476 0.070763419 968.87 0.5000 6.8761304 1.8849 0.5407983 0.0407983 MEDIA: 6.84517920 971.69564 0.5263 6.8790426 1.8679 0.5359468 0.009631 DES. EST.: 0.247290321 977.0582 0.5526 6.8845462 1.8360 0.5267782 0.0258534 COEF. SESGO: -1.39187722 988.04444 0.5789 6.8957277 1.7710 0.5081505 0.070796923 997.97783 0.6053 6.9057311 1.7129 0.4903191 0.114944124 1040.6 0.6316 6.9475527 1.4699 0.4111027 0.220476225 1057.15 0.6579 6.9633319 1.3782 0.3797138 0.27818126 1070.09 0.6842 6.975498 1.3075 0.354828 0.329382527 1072.08 0.7105 6.977356 1.2967 0.3510276 0.359498728 1095.3425 0.7368 6.9988224 1.1719 0.3071182 0.429723929 1105.9482 0.7632 7.0084583 1.1160 0.2871721 0.475985830 1147.01 0.7895 7.0449138 0.9041 0.2112056 0.57826831 1189.24 0.8158 7.0810697 0.6940 0.1403609 0.675428532 1207.52 0.8421 7.0963239 0.6054 0.110803 0.731302333 1225.1183 0.8684 7.1107927 0.5213 0.0827669 0.785654134 1235.11 0.8947 7.1189153 0.4741 0.0670279 0.82770935 1242.4 0.9211 7.1248003 0.4399 0.0556247 0.86542836 1303.21 0.9474 7.1725857 0.1623 -0.036969 0.984337237 1371.7822 0.9737 7.223866 -0.1357 -0.136334 1.1100184

Δo= 0.223583 Δmáx.= 1.1100184




HIDROLOGÍA GENERAL


MÉTODO DE DOBLE MASA

Este método es utilizado para veficar la homogeneidad de los datos de precipitación en una estaciónPara ello es necesario contar con datos confiables de al menos una estación que será la base porla cua las demás estaciones serán corregidas.

Las estaciones bases para aplicar la doble masa serán las estaciones E3 y E5, ya que tienen un coe-ficiente de variabilidad. A continuación se hace el método de Doble Masa para cada estación

DOBLE MASA PARA VERIFICAR LOS DATOS DE LA ESTACIÓN 1AÑO N ESTACIÓN 1 ESTACIÓN 2 ESTACIÓN 5 PROM(E3,E5)PROM(E3,E5) P. ACUM. E1 ACUM.1975 1 511.57 425.97 543.33 484.65 513.99 484.65 511.571976 2 676.19 305.57 616.98 461.275 539.1275 1023.7775 817.141977 3 649.21 372.89 651.27 512.08 581.675 1605.4525 1190.031978 4 678.18 687.09 457.96 572.525 515.2425 2120.695 1877.121979 5 643.88 691.14 463.54 577.34 520.44 2641.135 2568.261980 6 584.17 1307.39 577.62 942.505 760.0625 3401.1975 3875.651981 7 764.58 584.49 499.36 541.925 520.6425 3921.84 4460.141982 8 569.45 418.35 438.66 428.505 433.5825 4355.4225 4878.491983 9 369.51 332.02 389.41 360.715 375.0625 4730.485 5210.511984 10 540 740.16 380.25 560.205 470.2275 5200.7125 5950.671985 11 307.86 380.73 421.89 401.31 411.6 5612.3125 6331.41986 12 622.56 508.01 699.24 603.625 651.4325 6263.745 6839.411987 13 595.6 236.24 375.91 306.075 340.9925 6604.7375 7075.651988 14 500.9 429.77 502.93 466.35 484.64 7089.3775 7505.421989 15 573.28 594.63 491.52 543.075 517.2975 7606.675 8100.051990 16 449.07 375.95 495.3 435.625 465.4625 8072.1375 84761991 17 493.5 1048.75 350.06 699.405 524.7325 8596.87 9524.751992 18 711.95 330.72 467.84 399.28 433.56 9030.43 9855.471993 19 602.99 398.29 576.56 487.425 531.9925 9562.4225 10253.761994 20 360.44 320.04 487.67 403.855 445.7625 10008.185 10573.81995 21 374.15 468.63 525.55 497.09 511.32 10519.505 11042.431996 22 513.35 304.3 500.65 402.475 451.5625 10971.0675 11346.731997 23 540.27 315.69 249.45 282.57 266.01 11237.0775 11662.421998 24 646.97 1120.4 509.3 814.85 662.075 11899.1525 12782.821999 25 549.91 798.06 378.51 588.285 483.3975 12382.55 13580.882000 26 527.32 328.43 365.8 347.115 356.4575 12739.0075 13909.312001 27 396.69 352.53 262.31 307.42 284.865 13023.8725 14261.842002 28 429.43 433.8 262.07 347.935 305.0025 13328.875 14695.642003 29 667.72 531.07 370.26 450.665 410.4625 13739.3375 15226.712004 30 907.03 740.15 388.87 564.51 476.69 14216.0275 15966.862005 31 483.6 705.36 411.44 558.4 484.92 14700.9475 16672.222006 32 361.93 503.93 427.96 465.945 446.9525 15147.9 17176.152007 33 604.5 394.18 451.59 422.885 437.2375 15585.1375 17570.332008 34 741.46 535.2 471.9 503.55 487.725 16072.8625 18105.532009 35 635.25 617.72 494.77 556.245 525.5075 16598.37 18723.252010 36 775.95 1169.15 523.69 846.42 685.055 17283.425 19892.42011 37 583.21 442.93 446.02 444.475 445.2475 17728.6725 20335.33



DOBLE MASA PARA VERIFICAR LOS DATOS DE LA ESTACIÓN 2AÑO N ESTACIÓN 2 ESTACIÓN 3 ESTACIÓN 5 PROM(E3,E5) P. ACUM. E1 ACUM.1975 1 332.99 425.97 543.33 484.65 484.65 511.571976 2 320.02 305.57 616.98 461.275 945.925 831.591977 3 372.64 372.89 651.27 512.08 1458.005 1204.231978 4 530.6 687.09 457.96 572.525 2030.53 1734.831979 5 698.54 691.14 463.54 577.34 2607.87 2433.371980 6 497.6 1307.39 577.62 942.505 3550.375 2930.971981 7 397.75 584.49 499.36 541.925 4092.3 3328.721982 8 309.89 418.35 438.66 428.505 4520.805 3638.611983 9 345.93 332.02 389.41 360.715 4881.52 3984.541984 10 442.71 740.16 380.25 560.205 5441.725 4427.251985 11 192.3 380.73 421.89 401.31 5843.035 4619.551986 12 501.15 508.01 699.24 603.625 6446.66 5120.71987 13 294.12 236.24 375.91 306.075 6752.735 5414.821988 14 606.79 429.77 502.93 466.35 7219.085 6021.611989 15 454.41 594.63 491.52 543.075 7762.16 6476.021990 16 468.58 375.95 495.3 435.625 8197.785 6944.61991 17 772.4 1048.75 350.06 699.405 8897.19 77171992 18 245.65 330.72 467.84 399.28 9296.47 7962.651993 19 387.88 398.29 576.56 487.425 9783.895 8350.531994 20 395.49 320.04 487.67 403.855 10187.75 8746.021995 21 341.67 468.63 525.55 497.09 10684.84 9087.691996 22 276.35 304.3 500.65 402.475 11087.315 9364.041997 23 559.8 315.69 249.45 282.57 11369.885 9923.841998 24 511.34 1120.4 509.3 814.85 12184.735 10435.181999 25 513.15 798.06 378.51 588.285 12773.02 10948.332000 26 430.33 328.43 365.8 347.115 13120.135 11378.662001 27 253.21 352.53 262.31 307.42 13427.555 11631.872002 28 393.93 433.8 262.07 347.935 13775.49 12025.82003 29 309.11 531.07 370.26 450.665 14226.155 12334.912004 30 424.67 740.15 388.87 564.51 14790.665 12759.582005 31 465.35 705.36 411.44 558.4 15349.065 13224.932006 32 413.99 503.93 427.96 465.945 15815.01 13638.922007 33 343.91 394.18 451.59 422.885 16237.895 13982.832008 34 484.9 535.2 471.9 503.55 16741.445 14467.732009 35 289.55 617.72 494.77 556.245 17297.69 14757.282010 36 424.17 1169.15 523.69 846.42 18144.11 15181.452011 37 307.83 442.93 446.02 444.475 18588.585 15489.28



DOBLE MASA PARA VERIFICAR LOS DATOS DE LA ESTACIÓN 4AÑO N ESTACIÓN 4 ESTACIÓN 3 ESTACIÓN 5 PROM(E3,E5) P. ACUM. E1 ACUM.1975 1 236.75 425.97 543.33 484.65 484.65 511.571976 2 351.79 305.57 616.98 461.275 945.925 863.361977 3 258.09 372.89 651.27 512.08 1458.005 1121.451978 4 529.86 687.09 457.96 572.525 2030.53 1651.311979 5 258.81 691.14 463.54 577.34 2607.87 1910.121980 6 211.32 1307.39 577.62 942.505 3550.375 2121.441981 7 272.02 584.49 499.36 541.925 4092.3 2393.461982 8 505.21 418.35 438.66 428.505 4520.805 2898.671983 9 175.01 332.02 389.41 360.715 4881.52 3073.681984 10 735.82 740.16 380.25 560.205 5441.725 3809.51985 11 216.4 380.73 421.89 401.31 5843.035 4025.91986 12 187.23 508.01 699.24 603.625 6446.66 4213.131987 13 231.65 236.24 375.91 306.075 6752.735 4444.781988 14 324.62 429.77 502.93 466.35 7219.085 4769.41989 15 305.05 594.63 491.52 543.075 7762.16 5074.451990 16 344.93 375.95 495.3 435.625 8197.785 5419.381991 17 479.06 1048.75 350.06 699.405 8897.19 5898.441992 18 429.24 330.72 467.84 399.28 9296.47 6327.681993 19 232.64 398.29 576.56 487.425 9783.895 6560.321994 20 239.03 320.04 487.67 403.855 10187.75 6799.351995 21 292.1 468.63 525.55 497.09 10684.84 7091.451996 22 156.2 304.3 500.65 402.475 11087.315 7247.651997 23 126 315.69 249.45 282.57 11369.885 7373.651998 24 310.38 1120.4 509.3 814.85 12184.735 7684.031999 25 308.11 798.06 378.51 588.285 12773.02 7992.142000 26 157 328.43 365.8 347.115 13120.135 8149.142001 27 207 352.53 262.31 307.42 13427.555 8356.142002 28 281.22604 433.8 262.07 347.935 13775.49 8637.366042003 29 425.46 531.07 370.26 450.665 14226.155 9062.826042004 30 213.35 740.15 388.87 564.51 14790.665 9276.176042005 31 245.59 705.36 411.44 558.4 15349.065 9521.766042006 32 208.77 503.93 427.96 465.945 15815.01 9730.536042007 33 355.32 394.18 451.59 422.885 16237.895 10085.8562008 34 193.02 535.2 471.9 503.55 16741.445 10278.8762009 35 311.11 617.72 494.77 556.245 17297.69 10589.9862010 36 284.73 1169.15 523.69 846.42 18144.11 10874.7162011 37 250.19 442.93 446.02 444.475 18588.585 11124.906



DOBLE MASA PARA VERIFICAR LOS DATOS DE LA ESTACIÓN 8AÑO N ESTACIÓN 8 ESTACIÓN 3 ESTACIÓN 5 PROM(E3,E5) P. ACUM. E1 ACUM.1975 1 707.12 425.97 543.33 484.65 484.65 511.571976 2 998.27 305.57 616.98 461.275 945.925 1509.841977 3 797.1 372.89 651.27 512.08 1458.005 2306.941978 4 867.34 687.09 457.96 572.525 2030.53 3174.281979 5 1189.24 691.14 463.54 577.34 2607.87 4363.521980 6 1207.52 1307.39 577.62 942.505 3550.375 5571.041981 7 1303.21 584.49 499.36 541.925 4092.3 6874.251982 8 915.22 418.35 438.66 428.505 4520.805 7789.471983 9 821.72 332.02 389.41 360.715 4881.52 8611.191984 10 962.74 740.16 380.25 560.205 5441.725 9573.931985 11 912.44 380.73 421.89 401.31 5843.035 10486.371986 12 1242.4 508.01 699.24 603.625 6446.66 11728.771987 13 908.3 236.24 375.91 306.075 6752.735 12637.071988 14 1070.09 429.77 502.93 466.35 7219.085 13707.161989 15 1072.08 594.63 491.52 543.075 7762.16 14779.241990 16 825.74 375.95 495.3 435.625 8197.785 15604.981991 17 780.52 1048.75 350.06 699.405 8897.19 16385.51992 18 943.12 330.72 467.84 399.28 9296.47 17328.621993 19 877.1 398.29 576.56 487.425 9783.895 18205.721994 20 744.22 320.04 487.67 403.855 10187.75 18949.941995 21 1115.85 468.63 525.55 497.09 10684.84 20065.791996 22 0 304.3 500.65 402.475 11087.315 20065.791997 23 1326.93 315.69 249.45 282.57 11369.885 21392.721998 24 966.75 1120.4 509.3 814.85 12184.735 22359.471999 25 968.87 798.06 378.51 588.285 12773.02 23328.342000 26 781.95 328.43 365.8 347.115 13120.135 24110.292001 27 1235.11 352.53 262.31 307.42 13427.555 25345.42002 28 1293.34 433.8 262.07 347.935 13775.49 26638.742003 29 1042.1 531.07 370.26 450.665 14226.155 27680.842004 30 1170.44 740.15 388.87 564.51 14790.665 28851.282005 31 636.52 705.36 411.44 558.4 15349.065 29487.82006 32 1201.16 503.93 427.96 465.945 15815.01 30688.962007 33 620.49 394.18 451.59 422.885 16237.895 31309.452008 34 1147.01 535.2 471.9 503.55 16741.445 32456.462009 35 1057.15 617.72 494.77 556.245 17297.69 33513.612010 36 1040.6 1169.15 523.69 846.42 18144.11 34554.212011 37 696.22 442.93 446.02 444.475 18588.585 35250.43



VALIDAR LOS DATOS DE LAS ESTACIONES BASESAÑO N ESTACIÓN 3 ESTACIÓN 5 E3 ACUM. E5 ACUM.1975 1 425.97 543.33 425.97 543.331976 2 305.57 616.98 731.54 1160.311977 3 372.89 651.27 1104.43 1811.581978 4 687.09 457.96 1791.52 2269.541979 5 691.14 463.54 2482.66 2733.081980 6 1307.39 577.62 3790.05 3310.71981 7 584.49 499.36 4374.54 3810.061982 8 418.35 438.66 4792.89 4248.721983 9 332.02 389.41 5124.91 4638.131984 10 740.16 380.25 5865.07 5018.381985 11 380.73 421.89 6245.8 5440.271986 12 508.01 699.24 6753.81 6139.511987 13 236.24 375.91 6990.05 6515.421988 14 429.77 502.93 7419.82 7018.351989 15 594.63 491.52 8014.45 7509.871990 16 375.95 495.3 8390.4 8005.171991 17 1048.75 350.06 9439.15 8355.231992 18 330.72 467.84 9769.87 8823.071993 19 398.29 576.56 10168.16 9399.631994 20 320.04 487.67 10488.2 9887.31995 21 468.63 525.55 10956.83 10412.851996 22 304.3 500.65 11261.13 10913.51997 23 315.69 249.45 11576.82 11162.951998 24 1120.4 509.3 12697.22 11672.251999 25 798.06 378.51 13495.28 12050.762000 26 328.43 365.8 13823.71 12416.562001 27 352.53 262.31 14176.24 12678.872002 28 433.8 262.07 14610.04 12940.942003 29 531.07 370.26 15141.11 13311.22004 30 740.15 388.87 15881.26 13700.072005 31 705.36 411.44 16586.62 14111.512006 32 503.93 427.96 17090.55 14539.472007 33 394.18 451.59 17484.73 14991.062008 34 535.2 471.9 18019.93 15462.962009 35 617.72 494.77 18637.65 15957.732010 36 1169.15 523.69 19806.8 16481.422011 37 442.93 446.02 20249.73 16927.44

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precipitaciÓn final

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parmetro de

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ao de registro