estimación de datos faltantes

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Estimación de datos faltantes por metodo de promedio pesado

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a. ANLISIS DE LOS REGISTROS MENSUALES DE PRECIPITACIN

b. Estimacin de datos faltantes

Para la estimacin de los datos faltantes de cada estacin se utilizar el mtodo de promedio pesado desarrollado por el National Weather Service. Ya que este es el mtodo ms utilizado en la actualidad y es ms preciso que el de Paulhus y Kohler que se basaron en un promedio aritmtico simple.

ESTACIN DE CERRO PUNTA

En la estacin de Cerro Punta faltan todos los datos del ao 2002. Es por eso que utilizando el mtodo de promedio pesado utilizando la precipitacin de las estaciones adyacentes podemos hallar los datos faltantes de la estacin de Cerro Punta. Las estaciones adyacentes son Bajo Grande, Piedra Candela y Caisan Centro.

Pero como los datos de la estacin de Caisan Centro solo presentan datos hasta 1998, no se pudo utilizar esta estacin por falta de registro del ao 2002 que es lo que se necesitaba.

Ubicacin de las estaciones adyacentes en Km

EstacinLongitud(X) KmLatitud(Y) KmDistancia respecto a la estacin faltante (X)Distancia respecto a la estacin faltante (Y)

Bajo Grande329.544978.6233.659-1.859

Piedra Candela305.727982.416-20.1581.934

Cerro Punta325.885980.482--

(*) Las distancias de hallaron restando la coordenada de la estacin que ya conocemos su precipitacin menos la del dato faltante. Las coordenadas en negrita son las de la estacin con datos faltantes.

Procedimiento para calcular los datos faltantes de la estacinMesEstacinAdyacenteP(mm)X (Km)Y (Km)D2W(1/D2)P x W

EneBajo Grande134.23.659-1.85916.8441620.059367750087.967152061

Piedra Candela10.5-20.1581.934410.0853200.0024385169410.02560442788

0.0618062670257.992756489228

P = ( P x W)/ W = 129.319515219 ~ (129.3) mm

FebBajo Grande8.63.659-1.85916.8441620.059367750080.51056265073

Piedra Candela0.0-20.1581.934410.0853200.0024385169410

0.0618062670250.51056265073

P = ( P x W)/ W = 8.260693863 ~ (8.3) mm

MarBajo Grande9.33.659-1.85916.8441620.059367750080.55212007579

Piedra Candela38.6-20.1581.934410.0853200.0024385169410.09412675392

0.0618062670250.646246829702

P = ( P x W)/ W = 10.456008117 ~ (10.5) mm

AbrBajo Grande101.63.659-1.85916.8441620.059367750086.03176340859

Piedra Candela35.4-20.1581.934410.0853200.0024385169410.08412883446

0.0618062670256.115892243050

P = ( P x W)/ W = 98.952623049 ~ (99.0) mm

MayBajo Grande53.13.659-1.85916.8441620.059367750083.15242752949

Piedra Candela42.5-20.1581.934410.0853200.0024385169410.10363696998

0.0618062670253.256064499475

P = ( P x W)/ W = 52,681785459 ~ (52.7) mm

JunBajo Grande40.03.659-1.85916.8441620.059367750082.37471000338

Piedra Candela64.6-20.1581.934410.0853200.0024385169410.15752819438

0.0618062670252.532238197760

P = ( P x W)/ W = 40,970573368 ~ (41.0) mm

JulBajo Grande80.03.659-1.85916.8441620.059367750084.74942000677

Piedra Candela35.4-20.1581.934410.0853200.0024385169410.08632349970

0.061806267025

P = ( P x W)/ W = 78.240342593~ (78.2) mm

AgoBajo Grande48.63.659-1.85916.8441620.059367750082.88527265411

Piedra Candela39.6-20.1581.934410.0853200.0024385169410.09656527086

0.0618062670252.981837924966

P = ( P x W)/ W = 48.244912182 ~ (48.2) mm

SepBajo Grande76.43.659-1.85916.8441620.059367750084.53569610646

Piedra Candela87.1-20.1581.934410.0853200.0024385169410.21239482555

0.0618062670254.748090932006

P = ( P x W)/ W = 76,822159961 ~ (76.8) mm

OctBajo Grande56.43.659-1.85916.8441620.059367750083.34834110477

Piedra Candela45.0-20.1581.934410.0853200.0024385169410.10973326234

0.0618062670253.458074367106

P = ( P x W)/ W = 55.950222098~ (56.0) mm

NovBajo Grande112.83.659-1.85916.8441620.059367750086.69668220954

Piedra Candela46.6-20.1581.934410.0853200.0024385169410.11363488944

0.0618062670256.810317098981

P = ( P x W)/ W = 110.188131831 ~ (110.2) mm

DicBajo Grande149.63.659-1.85916.8441620.059367750088.88141541265

Piedra Candela46.0-20.1581.934410.0853200.0024385169410.11217177928

0.0618062670258.993587191929

P = ( P x W)/ W = 145.512544678 ~ (145.5) mm

Los datos faltantes calculados de la estacin de Cerro Punta:

AoEneFebMarAbrMayJunJulAgoSepOctNovDic

196340,027,012,046,026,528,523,553,345,038,539,056,5

196418,52,51,037,030,028,041,535,529,030,038,522,0

196545,016,511,55,046,041,542,533,062,572,540,020,5

196637,020,010,530,522,045,020,032,524,540,528,060,5

196730,024,58,525,025,056,524,525,031,038,519,041,0

196829,570,523,015,539,536,530,038,047,036,034,039,0

196922,019,020,081,041,531,554,550,042,540,035,08,5

197080,521,012,5342,539,018,047,045,538,540,583,0153,5

197131,518,57,09,032,023,546,523,073,542,547,517,0

197210,516,04,538,519,554,515,533,036,037,042,526,5

197335,56,01,522,548,549,062,541,538,039,0117,539,5

197419,58,53,014,540,541,538,030,544,049,04,524,0

197513,51,04,04,021,042,519,527,556,539,045,598,5

197629,58,59,513,556,553,543,532,530,546,070,032,5

19774,57,01,55,055,537,019,539,034,045,039,02,0

19789,018,025,022,034,037,027,021,547,559,533,562,5

197925,02,57,558,033,526,035,527,550,558,578,028,5

198027,516,514,010,551,044,534,540,550,029,532,551,0

19819,060,54,038,551,045,527,551,042,568,549,520,5

198221,511,56,537,548,537,538,543,544,545,510,56,0

198323,517,016,556,540,526,027,534,563,525,551,54,0

19847,517,57,510,535,543,529,584,833,578,824,551,8

198510,56,537,516,532,552,560,521,534,524,017,526,5

198627,520,531,55,0108,547,516,518,060,8106,112,517,5

198715,04,05,511,536,523,041,550,840,544,533,540,5

1988123,19,511,512,042,540,572,525,554,5137,524,520,5

19895,567,55,57,528,531,048,524,537,532,537,597,5

199021,54,013,511,052,530,522,042,517,546,572,840,0

19918,58,513,526,527,545,037,562,541,525,526,518,5

19923,018,515,043,540,539,517,520,576,535,530,58,0

19936,07,556,020,040,522,515,538,048,523,541,552,5

199411,510,56,022,530,565,530,537,071,540,541,542,5

19954,014,535,025,099,548,541,549,527,037,525,517,5

199671,534,512,514,550,5122,5182,546,527,554,550,052,5

199738,517,58,545,541,537,543,518,546,552,527,512,0

19980,020,57,512,522,551,561,528,025,042,553,554,5

199925,510,519,555,538,545,522,548,548,535,537,561,5

200062,514,08,516,523,541,537,036,565,542,047,519,5

200137,511,58,010,550,532,545,536,530,583,538,524,5

2002(129.3)(8.3)(10.5)(99.0)(52.7)(41.0)(78.2)(48.2)(76.8)(56.0)(110.2)(145.5)

20032,52,562,536,547,551,022,531,531,553,547,556,5

200414,07,521,515,557,599,526,536,543,552,568,539,5

2005102,53,519,518,538,526,537,523,027,075,0114,218,7

200636,011,38,031,118,841,229,145,017,159,238,769,5

200714,72,725,447,943,329,334,343,042,657,646,238,6

200823,222,55,911,5137,232,439,754,127,660,8174,327,3

200923,0101,251,01,955,437,734,337,818,054,215,318,0

ESTACIN CAISAN CENTRO

En la estacin de Caisan Centro los datos de precipitacin faltantes son los meses de noviembre y diciembre de 1998. Utilizando del mtodo de promedio pesado calculamos los datos faltantes de precipitacin en la estacin. Las estaciones adyacentes son Caas Gordas, Santa Cruz, Piedra Canela y Cerro Punta.

Ubicacin de las estaciones adyacentes en Km

EstacinLongitud(X) KmLatitud(Y) KmDistancia respecto a la estacin faltante (X)Distancia respecto a la estacin faltante (Y)

Caas Gordas289.151967.75-20.183-1.745

Santa Cruz305.606956.608-3.728-12.887

Piedra Candela305.727982.416-3.60712.921

Cerro Punta325.885980.48216.55110.987

Caisan Centro309.334969.495--

Procedimiento para calcular los datos faltantes de la estacinMesEstacinAdyacenteP (mm)X (Km)Y (Km)D2W(1/D2)P x W

NovCaas Gordas77.9-20.183-1.745410.3985140000.00243665600

0.18981550211

Santa Cruz74.5-3.728-12.887179.9727530000.00555639664

0.41395154965

Piedra Candela129.2-3.60712.921179.962690000.005556707340.71792658801

Cerro Punta53.516.55110.987394.649770000.00253389227

0.13556323623

0.01608365224

1.45725687600

P = ( P x W)/ W = 90.6048485944 ~ (90.6) mm

DicCaas Gordas77.4-20.183-1.745410.3985140000.00243665600

0.18859717411

Santa Cruz80.0-3.728-12.887179.9727530000.00555639664

0.44451173117

Piedra Candela108.9-3.60712.921179.962690000.005556707340.60512542905

Cerro Punta54.516.55110.987394.649770000.00253389227

0.13784373927

-20.183-1.7450.01608365224

1.37607807361

P = ( P x W)/ W = 85.5575619966 ~ (85.6) mm

Los datos faltantes de la estacin de Caisan Centro son:

AoEneFebMarAbrMayJunJulAgoSepOctNovDic

1971(31.5)45,332,727,0123,557,159,674,789,3112,633,711,1

197223,216,637,645,463,544,943,0102,964,192,7122,427,6

197337,520,316,340,092,961,9105,566,964,189,8153,925,9

197422,25,857,312,782,355,748,787,499,765,941,95,1

197515,350,030,763,666,654,197,469,662,366,762,542,5

19763,97,25,944,862,191,670,5125,356,160,980,311,4

19770,021,611,350,956,549,533,652,346,174,259,243,6

197890,250,451,080,248,662,276,5105,574,2110,262,921,1

197934,233,510,857,576,494,960,891,094,093,293,039,6

198050,729,052,833,574,967,771,778,176,232,886,851,4

19817,43,755,975,274,689,526,770,442,470,594,855,8

198225,728,933,8101,762,4100,735,147,677,68,219,619,6

198324,625,525,148,560,937,753,038,253,050,056,123,0

198421,542,449,026,854,355,358,258,462,358,260,89,9

19850,00,010,453,642,147,655,555,654,043,528,317,4

19860,020,526,117,745,857,128,452,451,151,141,85,5

19876,813,639,439,849,253,049,239,047,351,319,732,8

198829,50,09,948,052,424,953,849,848,641,330,45,9

19894,74,944,926,451,932,350,038,451,045,932,243,4

19900,053,812,856,766,575,754,480,778,396,177,159,0

199114,40,079,731,860,695,390,252,795,295,276,019,1

19920,015,47,741,6103,562,565,456,258,957,754,97,6

199332,60,051,570,454,155,737,685,259,746,393,729,7

199416,415,70,017,736,025,219,930,073,075,548,815,4

19950,00,047,246,363,269,560,240,164,983,143,542,0

199651,615,875,149,879,292,8106,779,961,7144,248,112,4

199748,35,854,472,051,242,324,066,194,662,682,716,4

19980,034,822,545,185,553,494,551,884,483,8(90.6)(85.6)

ESTACIN DE BAJO GRANDE

En la estacin Bajo Grande faltan todos los datos de 1998 y los meses de junio, julio, agosto y septiembre de 2001. Utilizando el mtodo de promedio pesado y la precipitacin de la estacin adyacente podemos hallar los datos faltantes de la estacin de Bajo Grande. La estacin de Bajo Grande solo tiene una estacin adyacente y es la de Cerro Punta.

Ubicacin de las estaciones adyacentes en Km

EstacinLongitud(X) KmLatitud(Y) KmDistancia respecto a la estacin faltante (X)Distancia respecto a la estacin faltante (Y)

Cerro Punta325.885980.482-3.6591.859

Bajo Grande329.544978.623--

Procedimiento para calcular los datos faltantes de la estacin

Ao 1998

MesEstacinAdyacenteP (mm)X (Km)Y (Km)D2W(1/D2)P x W

EneCerro Punta0.0-3.6591.85916.8441620.059367750080

0

P = ( P x W)/ W = (0) mm

FebCerro Punta20.5-3.6591.85916.8441620.059367750081.21703888

1.21703888

P = ( P x W)/ W = (20.5) mm

MarCerro Punta7.5-3.6591.85916.8441620.059367750080.44525813

0.44525813

P = ( P x W)/ W = (7.5) mm

AbrCerro Punta12.5-3.6591.85916.8441620.059367750080.74209688

0.74209688

P = ( P x W)/ W = (12.5) mm

MayCerro Punta22.5-3.6591.85916.8441620.059367750081.33577438

1.33577438

P = ( P x W)/ W = (22.5) mm

JunCerro Punta51.5-3.6591.85916.8441620.059367750083.05743913

3.05743913

P = ( P x W)/ W = (51.5) mm

JulCerro Punta61.5-3.6591.85916.8441620.059367750083.65111663

3.65111663

P = ( P x W)/ W = (61.5) mm

AgoCerro Punta28.0-3.6591.85916.8441620.059367750081.662297

1.662297

P = ( P x W)/ W = (28.0) mm

SepCerro Punta25.0-3.6591.85916.8441620.059367750081.48419375

1.48419375

P = ( P x W)/ W = (25) mm

OctCerro Punta42.5-3.6591.85916.8441620.059367750082.52312938

2.52312938

P = ( P x W)/ W = (42.5) mm

NovCerro Punta53.5-3.6591.85916.8441620.059367750083.23554238

3.23554238

P = ( P x W)/ W = (53.5) mm

DicCerro Punta54.5-3.6591.85916.8441620.059367750081.21703888

1.21703888

P = ( P x W)/ W = (54.5) mm

Ao 2001

JunCerro Punta32.5-3.6591.85916.8441620.059367750081.92945188

P = ( P x W)/ W = (32.5) mm

JulCerro Punta45.5-3.6591.85916.8441620.05936775008270123263

2.70123263

P = ( P x W)/ W = (45.5) mm

AgoCerro Punta36.5-3.6591.85916.8441620.059367750082.16692288

2,16692288

P = ( P x W)/ W = (36.5) mm

SepCerro Punta30.5-3.6591.85916.8441620.059367750081,81071638

1,81071638

P = ( P x W)/ W = (30.5) mm

AoEneFebMarAbrMayJunJulAgoSepOctNovDic

197218,639,021,625,430,055,521,345,047,139,666,834,3

1973182,951,51,828,945,855,545,545,825,835,3107,373,2

197440,917,96,118,264,549,033,547,141,044,117,464,9

197516,74,38,912,643,551,624,831,760,637,670,7244,2

197626,237,616,613,432,771,592,634,438,548,736,064,6

197724,49,67,84,742,232,339,632,842,650,862,93,3

19780,00,00,021,839,950,643,721,350,960,738,462,6

197945,411,626,574,230,046,047,659,030,248,976,938,4

198081,363,617,517,361,151,541,536,859,226,843,7104,1

198124,6125,810,839,820,246,135,446,832,849,534,149,9

198232,636,510,041,347,243,763,144,437,968,635,023,9

19839,617,448,718,342,727,840,770,654,533,747,112,6

198456,942,228,426,832,951,535,856,736,5141,329,2119,6

198524,915,718,514,836,658,263,328,236,635,240,759,2

1986155,86,9130,418,955,659,240,840,046,4199,613,121,9

198781,225,16,640,157,831,946,950,941,973,255,061,6

1988270,946,844,012,833,978,4104,266,4100,8130,433,7116,2

198925,1123,435,714,638,250,264,239,638,233,1101,6249,7

199063,124,030,813,950,936,246,760,723,746,447,640,0

19917,620,58,850,137,373,1111,698,635,036,052,678,4

19929,217,853,694,040,226,126,441,728,430,531,3204,2

199328,030,8286,028,243,130,421,448,356,229,436,2114,1

199434,833,117,015,028,440,932,045,434,146,861,783,5

199519,858,210,225,1101,747,752,947,632,532,276,626,4

1996203,3151,450,111,866,487,7105,448,339,761,7132,1147,1

199728,557,39,439,345,435,636,116,545,152,134,964,4

1998(0.0)(20.5)(7.5)(12.5)(22.5)(51.5)(61.5)(28.0)(25.0)(42.5)(53.5)(54.5)

199944,151,241,666,437,366,433,261,468,836,832,0150,4

200099,842,320,786,439,851,535,749,086,248,460,225,1

200181,532,22,923,328,4(32.5)(45.5)(36.5)(30.5)62,635,142,2

2002134,28,69,3101,653,140,080,048,676,456,4112,8149,6

20035,44,825,5105,2101,044,157,135,538,862,356,285,6

200455,732,957,945,260,543,250,255,345,464,1101,749,5

2005200,323,531,030,534,454,334,941,442,436,899,759,0

200680,044,523,038,927,339,941,224,738,488,821,698,1

200737,59,313,443,982,821,464,061,767,447,934,292,4

200849,741,711,628,6126,422,144,238,642,548,5202,848,5

200928,5189,452,17,340,936,947,643,625,254,128,225,4

ESTACIN CAAS GORDAS

En la estacin de Caas Gordas los datos de precipitacin faltantes son diciembre de 1977, abril de 1985, todos los datos de 1989 y agosto de 1995.

Utilizando del mtodo de promedio pesado calculamos los datos faltantes de precipitacin en la estacin. Las estaciones adyacentes son Caisan Centro, Piedra Candela y Breon.

Ubicacin de las estaciones adyacentes en Km

EstacinLongitud(X) KmLatitud(Y) KmDistancia respecto a la estacin faltante (X)Distancia respecto a la estacin faltante (Y)

Breon300.094954.79110.943-12.959

Caisan Centro309.334969.49520.1831.745

Piedra Candela305.727982.41616.57614.666

Caas Gordas289.151967.750--

Procedimiento para calcular los datos faltantes de la estacin

Ao 1977

MesEstacionesAdyacentesP (mm)X (Km)Y (Km)D2W(1/D2)P * W

DicCaisan Centro43.620.1831.745410.3985140,002436660.1062382

Breon37.410.943-12.959287.684930,003476020.1300033

0.005912680.2362415

P = ( P x W)/ W = 39.95506212 ~ (40.0) mm

(*) Como se puede observar en esta primera tabla no se toma en cuenta la estacin de Piedra Candela porque no existen datos de precipitacin de 1977.

Ao 1985

MesEstacionesAdyacentesP (mm)X (Km)Y (Km)D2W(1/D2)P * W

AbrCaisan Centro53.620.1831.745410.3985140.002436660.13060476

Breon70.010.943-12.959287.684930.003476020.24332175

Piedra Candela72.016.57614.6660.002041419040.002041420.14698217

0.00795410.52090868

P = ( P x W)/ W = 65.48933000 ~ (65.5) mm

Ao 1989

MesEstaciones adyacentesP (mm)X (Km)Y (Km)D2W(1/D2)P * W

EneCaisan Centro4.720.1831.745410.3985140,002436660.01193961

Breon5.310.943-12.959287.684930,003476020.01842293

Piedra Candela6.616.57614.6660.002041419040.002041420.01347337

0.00795410.04383591

P = ( P x W)/ W = 5.51110903166 ~ (5.5) mm

FebCaisan Centro4.920.1831.745410.3985140,002436660.01193961

Breon23.110.943-12.959287.684930,003476020.08029618

Piedra Candela9.116.57614.6660.002041419040.002041420.01857691

0.00795410.11081270

P = ( P x W)/ W = 13.93152014 ~ (13.9) mm

MarCaisan Centro44.920.1831.745410.3985140,002436660.10940585

Breon63.010.943-12.959287.684930,003476020.21898957

Piedra Candela38.716.57614.6660.002041419040.002041420.07900292

0.00795410.40739834

P = ( P x W)/ W = 51.21866005~ (51.2) mm

AbrCaisan Centro26.420.1831.745410.3985140,002436660.06432772

Breon41.610.943-12.959287.684930,003476020.14460264

Piedra Candela19.216.57614.6660.002041419040.002041420.10737864

0.00795410.31630900

P = ( P x W)/ W = 39.7667867~ (39.8) mm

MayCaisan Centro51.920.1831.745410.3985140,002436660.12646245

Breon109.610.943-12.959287.684930,003476020.38097234

Piedra Candela52.616.57614.6660.002041419040.002041420.10737864

0.00795410.61481342

P = ( P x W)/ W = 77.295159 ~ (77.3) mm

JunCaisan Centro32.320.1831.745410.3985140,002436660.07870399

Breon62.110.943-12.959287.684930,003476020.21586115

Piedra Candela75.716.57614.6660.002041419040.002041420.15453542

0.00795410.44910056

P = ( P x W)/ W = 56.461518~ (56.5) mm

JulCaisan Centro50.020.1831.745410.3985140,002436660,12183280

Breon58.010.943-12.959287.684930,003476020.20160945

Piedra Candela65.216.57614.6660.002041419040.002041420.13310052

0.00795410.45654277

P = ( P x W)/ W = 57.3971624~ (57.4) mm

AgoCaisan Centro38.420.1831.745410.3985140,002436660.09356759

Breon80.110.943-12.959287.684930,003476020.27842960

Piedra Candela65.216.57614.6660.002041419040.002041420.09676326

0.00795410.46876045

P = ( P x W)/ W = 58.9331857 ~ (58.9) mm

SepCaisan Centro51.020.1831.745410.3985140,002436660.12426946

Breon96.510.943-12.959287.684930,003476020.33543641

Piedra Candela47.416.57614.6660.002041419040.002041420.24803241

0.00795410.70773828

P = ( P x W)/ W = 88.9777949 ~ (89.0) mm

OctCaisan Centro45.920.1831.745410.3985140,002436660.11184251

Breon61.110.943-12.959287.684930,003476020.21238513

Piedra Candela49.716.57614.6660.002041419040.002041420.10145853

0.00795410.42568616

P = ( P x W)/ W = 53.5178288 ~ (53.5) mm

NovCaisan Centro32.220.1831.745410.3985140,002436660.07846032

Breon56.610.943-12.959287.684930,003476020.19674301

Piedra Candela44.216.57614.6660.002041419040.002041420.09023072

0.00795410.36543406

P = ( P x W)/ W = 45,9428543 ~ (45.9) mm

DecCaisan Centro43.420.1831.745410.3985140,002436660.10575087

Breon60.910.943-12.959287.684930,003476020.21168992

Piedra Candela42.316.57614.6660.002041419040.002041420.08635203

0.00795410.40379282

P = ( P x W)/ W = 50,7653683 ~ (5O.8) mm

Ao 1995MesEstacionesAdyacentesP (mm)X (Km)Y (Km)D2W(1/D2)P * W

AgoCaisan Centro40.120.1831.745410.3985140,002436660.097709910

Breon119.210.943-12.959287.684930,003476020.414342176

Piedra Candela58.316.57614.6660.002041419040.002041420.119014730

0.00795410.672745507

P = ( P x W)/ W = 79.3385564 ~ (79.3) mm

AoEneFebMarAbrMayJunJulAgoSepOctNovDic

19734,69,522,349,0115,854,167,881,150,690,368,115,8

197417,58,115,814,850,150,328,368,877,1107,830,08,1

197524,122,019,124,8110,650,380,145,080,876,360,340,8

19760,320,313,016,340,820,023,840,839,339,140,020,1

19770,55,010,535,037,044,525,037,240,234,349,3(40.0)

197835,00,020,030,453,255,761,043,080,060,435,035,6

19790,030,061,129,234,748,867,040,668,784,885,841,6

198025,540,325,08,272,456,669,065,869,369,039,934,5

19817,415,737,265,780,072,435,652,033,966,838,235,9

198216,126,522,221,264,353,325,943,262,161,237,426,7

198327,99,827,839,215,948,156,765,842,156,966,131,4

198426,819,448,127,466,754,937,334,866,166,365,229,1

19855,00,00,0(65.5)14,334,034,044,728,364,540,233,9

19862,313,016,043,855,462,032,149,157,085,931,35,8

19873,97,532,026,946,657,951,528,650,765,054,315,2

19881,23,831,729,322,232,156,066,065,465,541,431,6

1989(5.5)

(13.9)(51.2)(39.8)(77.3)(56.5)(57.4)(59.0)(89.0)(53.5)(49.4)(50.8)

199014,06,031,021,1102,358,051,642,264,9124,898,648,1

199116,30,027,618,242,441,935,665,571,441,032,611,4

19927,618,319,338,150,044,842,371,571,886,1108,633,7

199331,13,112,420,954,952,341,466,8110,565,957,425,7

19948,77,29,523,484,972,756,757,441,182,173,817,8

19956,92,332,845,274,547,937,9(79.3)63,775,464,827,3

199615,48,224,713,777,480,673,470,551,476,851,710,6

199764,88,411,277,176,677,144,539,376,275,776,429,1

19980,033,54,055,554,772,173,052,575,477,677,977,4

19994,824,36,037,871,377,328,761,073,947,453,343,8

20006,38,626,413,964,365,728,559,864,655,626,013,5

200122,84,554,422,640,066,744,930,545,0108,561,628,8

20027,129,137,328,258,975,4101,038,848,372,632,317,0

20030,722,858,234,265,1114,348,957,648,761,746,120,4

20047,77,455,555,299,963,428,1132,872,967,535,817,0

200517,412,481,311,370,043,448,950,478,064,3214,012,3

200640,418,915,538,758,086,597,747,646,1102,1149,040,7

20079,430,719,638,081,575,833,779,749,577,652,313,0

20087,025,214,728,890,056,363,364,658,5178,278,826,1

20097,70,018,520,440,051,835,862,026,559,461,956,9

ESTACIN PIEDRA CANDELA

En la estacin de Piedra Candela los datos de precipitacin que faltan son julio, agosto, septiembre y octubre de 1987. Con el mtodo de promedio pesado calculamos los datos faltantes de precipitacin en la estacin. Las estaciones adyacentes de la estacin son Caas Gordas, Caisan Centro y Cerro Punta.

Ubicacin de las estaciones adyacentes en Km

EstacinLongitud(X) KmLatitud(Y) KmDistancia respecto a la estacin faltante (X)Distancia respecto a la estacin faltante (Y)

Caas Gordas289.151967.750-16.576-14.666

Caisan Centro309.334969.4953.607-12.921

Cerro Punta325.885980.48220.158-1.934

Piedra Candela305.727982.416--

Procedimiento para calcular los datos faltantes de la estacin

MesEstacionesAdyacentesP (mm)X (Km)Y (Km)D2W(1/D2)P * W

AbrCaas Gordas53.6-16.576-14.666489.8553320.002041420.13060476

Caisan Centro70.03.607-12.921179.962690.005556710.24332175

Cerro Punta72.020.158-1.934410.085320,002438520.14698217

0.010036640.52090868

P = ( P x W)/ W = 65.48933000 ~ (65.5) mm

MesEstacionesAdyacentesP (mm)X (Km)Y (Km)D2W(1/D2)P * W

JulCaas Gordas53.6-16.576-14.666489.8553320.002041420.13060476

Caisan Centro70.03.607-12.921179.962690.005556710.24332175

Cerro Punta72.020.158-1.934410.085320,002438520.14698217

0.010036640.52090868

P = ( P x W)/ W = 47.7970094 ~ (47.8) mm

AgoCaas Gordas28.6-16.576-14.666489.8553320.002041420.05838458

Caisan Centro39.03.607-12.921179.962690.005556710.21671159

Cerro Punta50.820.158-1.934410.085320.002438520.12387666

0.010036640.39897283

P = ( P x W)/ W = 39.75162 ~ (39.7) mm

Sep

Caas Gordas50.7-16.576-14.666489.8553320.002041420.10349995

Caisan Centro47.33.607-12.921179.962690.005556710.26283226

Cerro Punta40.520.158-1.934410.085320.002438520.09875994

0.010036640.46509214

P = ( P x W)/ W = 46.3394109 ~ (46.3) mm

OctCaas Gordas65.0-16.576-14.666489.8553320.002041420.13269224

Caisan Centro51.33.607-12.921179.962690.005556710.28505909

Cerro Punta44.520.158-1.934410.085320.002438520.1085140

0.010036640.52626533

P = ( P x W)/ W = 52.4343958 ~ (52.4) mm

AoEneFebMarAbrMayJunJulAgoSepOctNovDic

197843,628,847,872,636,863,363,934,672,599,363,477,8

197928,020,139,668,067,275,399,683,447,183,175,832,9

198039,38,712,643,463,169,351,268,059,443,952,846,7

19810,020,118,759,459,790,431,296,754,298,852,221,6

19822,919,148,372,567,269,181,510,794,987,628,00,0

198352,522,667,966,859,255,845,961,7110,061,149,94,2

19840,355,277,444,349,324,479,857,056,273,569,09,8

19850,00,04,372,068,654,899,469,386,742,441,230,3

19860,049,59,317,348,246,317,754,385,087,926,70,0

198732,520,353,326,055,182,5(47.8)(39.7)(46.3)(52.4)31,873,7

198833,06,864,238,679,467,467,5110,262,9145,658,411,9

19896,69,138,719,252,675,765,247,4121,549,744,242,3

19900,018,230,057,341,857,643,344,448,956,157,948,8

199121,219,447,375,748,747,727,647,848,454,030,746,9

199214,50,028,133,636,337,738,545,772,256,053,87,4

199329,80,028,030,950,041,271,450,451,544,253,17,5

199420,133,40,039,941,335,035,357,445,896,445,839,9

19950,01,978,587,370,567,5132,158,368,452,728,147,2

199624,60,055,343,663,169,383,864,942,992,147,71,4

199728,110,136,250,334,573,038,335,046,936,945,90,0

19980,042,519,234,662,053,749,548,498,181,6129,2108,9

199918,420,016,270,558,136,142,994,639,6104,871,823,2

20003,02,812,929,140,852,828,835,068,272,966,828,9

200116,05,347,915,156,039,621,464,336,698,761,67,9

200210,50,038,635,442,564,635,439,687,145,046,646,0

20031,633,057,630,862,471,263,922,363,664,822,134,6

200430,329,947,344,265,019,865,564,242,861,643,920,4

200524,012,842,228,468,149,665,175,464,968,540,228,9

200622,121,53,436,066,165,7113,621,348,565,865,921,5

20078,212,656,443,577,654,660,182,446,458,339,631,9

20080,024,354,825,464,735,469,547,196,988,742,87,1

20090,91,215,510,791,0138,032,564,861,039,926,647,7

c. Verificacin de la consistencia de los datos

Para verificar la consistencia de los datos es necesario realizar un anlisis de doble masa. Con este anlisis se analiza la consistencia de una serie de valores de algn elemento hidrometeorolgico medido en la estacin "X" con base en los datos tomados en otra estacin o grupo de estaciones "Y", situadas en una zona climtica similar y cuya homogeneidad haya sido verificada. Este sistema de homogeneizacin de series se utiliza cuando puede suceder un cambio relativo en la variable observada, medida o registrada en una estaci6n meteorolgica.

El mtodo puede ser aplicado tambin, con mucho xito en la interpolacin para el relleno de datos faltantes y la extrapolacin para extender una serie incompleta al periodo de comparaci6n (normalmente de 30 aos).

ESTACIN DE CERRO PUNTA

Comparando la consistencia de los datos de la estacin de Cerro Punta con las ms cercanas, que son

g. Anlisis de precipitacin Promedio