Consistencia y Homogeneidad
14
E.A.P. ING. MECANICA DE FLUIDOS CURSO: ING. DE RECURSOS HÍDRICOS INTRODUCCIÓN Los estudios hidrológicos requieren del análisis de cuanti información hidrométrica, esta información puede consistir de de precipitación, caudales, temperatura, evaporación, etc. Los recopilados solo representan una información en bruto, pero si datos se organizan correctamente proporcionan una herramienta gran utilidad para el ingeniero, que permite tomar decisiones diseño de estructuras hidráulicas. En la primera parte se muestra el marco teórico, la estaci trabajada en el presente trabajo es la estación !"# encuentra el departamento de $un%n, provincia de "auli, distri ro&a, que se encuentra a una elevación de '()*msnm. En la segunda parte se realiza el análisis de consistencia datos mediante un análisis visual, análisis de doble masa, procediendo luego al análisis de saltos & tendencias. OBJETIVOS El presente trabajo tiene por objetivo principal identi+ca cambios en los datos descargas, precipitación, etc.-, el hace mas complejo en la medida en que se consideren mas aspectos hidrometeorológicos. anejar los datos proporcionados de la fuentes usua forma efectiva, para llevar a cabo estudios hidrológicos correspondientes. #plicar los principios fundamentales de la probabilidad & estad%stica aplicada a la /idrolog%a. PROFESOR: ING. DOUGLAS SARANGO
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Transcript of Consistencia y Homogeneidad
INTRODUCCIN
E.A.P. ING. MECANICA DE FLUIDOS
CURSO: ING. DE RECURSOS HDRICOS
INTRODUCCIN
Los estudios hidrolgicos requieren del anlisis de cuantiosa informacin hidromtrica, esta informacin puede consistir de datos de precipitacin, caudales, temperatura, evaporacin, etc. Los datos recopilados solo representan una informacin en bruto, pero si estos datos se organizan correctamente proporcionan una herramienta de gran utilidad para el ingeniero, que permite tomar decisiones en el diseo de estructuras hidrulicas.
En la primera parte se muestra el marco terico, la estacin trabajada en el presente trabajo es la estacin OROYA que se encuentra el departamento de Junn, provincia de Yauli, distrito La Oroya, que se encuentra a una elevacin de 3160msnm.
En la segunda parte se realiza el anlisis de consistencia de los datos mediante un anlisis visual, anlisis de doble masa, procediendo luego al anlisis de saltos y tendencias.
OBJETIVOS
El presente trabajo tiene por objetivo principal identificar los cambios en los datos (descargas, precipitacin, etc.), el cual se hace mas complejo en la medida en que se consideren mas aspectos hidrometeorolgicos.
Manejar los datos proporcionados de la fuentes usuales en forma efectiva, para llevar a cabo estudios hidrolgicos correspondientes.
Aplicar los principios fundamentales de la probabilidad y de la estadstica aplicada a la Hidrologa.
FUNDAMENTO TERICO
ANLISIS DE DOBLE MASA
El anlisis de doble masa es una herramienta muy conocida y utilizada en la deteccin de inconsistencias en los datos hidrolgicos mltiples cuando se disponen de dos o mas series de datos. Un quiebre de la recta de doble masa o un cambio de pendiente, puede ser o no ser significativo, ya que si dicho cambio est dentro de los lmites de confianza de la variacin de la recta para un nivel de probabilidades dado.
Mediante este mtodo se determina la consistencia relativa de una estacin respecto a otra estacin ndice o a un promedio de estaciones, el anlisis grfico comparativo se realiza a travs de la curva doble masa, que tiene como abscisas los valores de precipitacin anual acumulada de la estacin ndice o estacin promedio y como ordenada los valores de precipitacin anual acumulada de la estacin analizada.
ANLISIS ESTADSTICOLa no homogeneidad e inconsistencia en secuencias hidrolgicas representa uno de los aspectos mas importantes del estudio de la hidrologa contempornea, particularmente en lo relacionado a la conservacin, desarrollo y control de recursos hdricos.
La inconsistencia es sinnimo de error sistemtico y se presenta como saltos y tendencias. Uno de los dos elementos mas importantes a tener en cuenta en el anlisis de consistencia con relacin a los datos existentes en el pas es la longitud de registro y el nivel de informabilidad que por limitaciones de recursos econmicos tiene el proceso de recoleccin y manipuleo de la informacin fuente. De all que es preferible partir de la duda y no de la aceptacin directa o fcil.
El anlisis de la informacin se realiza en las componentes determnisticas transitorias de la serie que son:
Anlisis de Salto.
Anlisis de Tendencia.
En cada uno de los cuales se analiza la consistencia en los dos primeros parmetros estadsticos: media y desviacin estndar.
ANLISIS DE SALTO
Los datos son formas determinsticas transitorias que permiten a una serie estadstica peridica pasar desde un estado a otro, como respuesta a cambios hechos por el hombre, debido al continuo desarrollo y explotacin de recursos hidrulicos en la cuenca, o a cambios violentos que en la naturaleza puedan ocurrir.
Los saltos se presentan en la media, desviacin estndar y otros parmetros, por lo general el anlisis mas importante es en los dos primeros.
El anlisis de salto se obtiene al medir:
Consistencia en la Media.
Consistencia en la Desviacin Estndar.
ANLISIS DE TENDENCIAS
Las tendencias son componentes determinsticas transitorias que se definen como un cambio sistemtico y continuo sobre una muestra de informacin hidrometeorolgica en cualquier parmetro de la misma, que afectan las distribuciones y dependencias de las series. Previamente a este anlisis se han corregido los saltos existentes, para luego analizar la tendencia en la media y en la desviacin estndar. Las tendencias por lo general pueden ser aproximadas por la ecuacin de regresin lineal.Se analizan en los dos primeros parmetros de una serie:
Tendencia en la Media.
Tendencia en la Desviacin Estndar.
ANLISIS DE SALTOS:Antes de comenzar el anlisis de consistencia de informacin debemos observar paralelamente en que ao se produce la variacin, mediante un analisis visual en la grfica Curva Doble Masa.
CUADRO N 1
VALORES DE PRECIPITACIN TOTAL MENSUAL HISTRICA (mm)DepartamentoJuninLatitud11 31'
ProvinciaYauliLongituud75 54'
DistritoLa OroyaAltitud3160msnm.
AoEneFebMarAbrMayJunJulAgoSepOctNovDicTOTAL
1985149.7133.4106.166.017.636.713.48.050.947.286.7174.1889.8
1986179.4193.0192.1153.335.30.625.457.272.351.740.974.71075.9
1987185.6126.685.125.937.222.750.229.455.878.2192.4194.81083.9
1988198.9139.996.4107.512.40.02.20.045.2102.1133.1164.91002.6
198994.589.388.743.36.94.21.539.141.455.1116.455.3635.7
1990162.038.633.533.533.031.911.939.245.4116.099.768.9713.6
199150.249.599.829.127.129.02.40.069.948.852.949.1507.8
199245.643.931.125.918.930.87.98.752.564.189.366.6485.3
199379.472.983.534.610.732.613.317.335.179.4125.684.1668.5
199488.1100.864.680.119.81.60.08.434.242.538.289.7568.0
1995106.296.762.848.37.10.010.52.819.630.241.976.7502.8
199652.968.251.352.68.60.00.05.49.826.735.738.2349.4
199775.6104.045.526.68.00.71.526.262.644.048.871.4514.9
199895.770.348.628.97.30.50.00.02.047.557.849.3407.9
1999112.9125.690.261.810.73.718.44.942.644.182.889.8687.5
Media111.896.878.654.517.413.010.616.442.658.582.889.8672.9
Mx198.9193.0192.1153.337.236.750.257.272.3116.0192.4194.81083.9
Mn45.638.631.125.96.90.00.00.02.026.735.738.2349.4
D.Est51.242.139.836.010.915.213.417.720.325.344.848.3237.9
GRFICO N 1
A. CONSISTENCIA EN LA MEDIA
Para la estacin La Oroya primero evaluaremos los periodos:
n1 = 60 (1985 1989)n2 = 120 (1990 1999)Debido a que en el periodo n1 se aprecia un quiebre en la grafica de doble masa, analizamos estos intervalos para ver si esta variacin en la media y en la desviacin estndar es significativa o no.
1. Clculo de la media y desviacin estndar para cada periodo:
y
y
2. Prueba de media, el procedimiento para realizar esta prueba es el siguiente:
Establecer la hiptesis planteada y las alternativas posibles, con el nivel de significacin.
Clculo de la desviacin estndar de la diferencia de los medios segn.
Seleccin de la prueba.
3. Realizacin de la prueba T.
Clculo del valor estadstico T, segn:
donde:
Por hiptesis.
Hallar el valor Tt de las tablas con:
Criterios de decisin:
Como:
La informacin debe corregirse.
B. CONSISTENCIA EN LA DESVIACIN ESTNDAR
Para la estacin La Oroya evaluaremos los periodos:
n1 = 60 (1985 1989)n2 = 120 (1990 1999)1. Clculo de la varianza de ambos periodos.
2. Estadstica F:
Se establece la hiptesis planteada y alternante, as como el nivel de significacin:
Clculo del Fc:
Hallar el valor de Ft en las tablas con:
Criterio de decisin:
Como:
Por lo tanto la informacin debe corregirse.
Como se puede apreciar se presenta inconsistencia tanto en la media como en la desviacin estndar, para la correccin de la informacin considero como vlida el periodo 1990 1999, es decir el n2, porque es el periodo mas largo y el mas reciente.CORRECCIN DE LA INFORMACIN:La correccin de la informacin se realiza utilizando la ecuacin:
CUADRO N 2
VALORES DE PRECIPITACIN TOTAL MENSUAL CORREGIDA DE SALTOS
AoEneFebMarAbrMayJunJulAgoSepOctNovDicTOTAL
198585.476.260.838.210.921.78.55.529.727.649.999.2513.6
1986102.2109.9109.487.520.91.315.333.241.830.124.043.1618.6
1987105.772.449.015.621.913.829.317.532.445.1109.5110.9623.2
1988113.279.955.461.67.90.92.20.926.558.676.194.0577.3
198954.351.451.025.44.83.31.823.024.332.066.632.2370.2
1990162.038.633.533.533.031.911.939.245.4116.099.768.9713.6
199150.249.599.829.127.129.02.40.069.948.852.949.1507.8
199245.643.931.125.918.930.87.98.752.564.189.366.6485.3
199379.472.983.534.610.732.613.317.335.179.4125.684.1668.5
199488.1100.864.680.119.81.60.08.434.242.538.289.7568.0
1995106.296.762.848.37.10.010.52.819.630.241.976.7502.8
199652.968.251.352.68.60.00.05.49.826.735.738.2349.4
199775.6104.045.526.68.00.71.526.262.644.048.871.4514.9
199895.770.348.628.97.30.50.00.02.047.557.849.3407.9
1999112.9125.690.261.810.73.718.44.942.644.182.889.8687.5
Media88.677.462.443.314.511.58.212.935.249.166.670.9540.6
Mx162.0125.6109.487.533.032.629.339.269.9116.0125.6110.9713.6
Mn45.638.631.115.64.80.00.00.02.026.724.032.2349.4
D.Est31.025.723.321.38.513.68.512.618.323.629.724.1111.2
GRFICO N 2
C. TENDENCIA EN LA MEDIA1. Calculo de los parmetros de la serie de precipitacin mensual, as como del tiempo en orden correlativo, siendo N = 180.
La media y desviacin estndar de los datos de precipitacin media mensual son:
La media y desviacin estndar del tiempo es:
El promedio del producto entre los datos y el tiempo es:
2. Clculo del coeficiente de correlacin entre los datos de precipitacin mensual y el tiempo:
3. Comprobacin de la significacin de la tendencia en la media, segn la prueba de Student:
El valor T calculado es:
El valor T tabular con = 0.05 y 178 (180 2) grados de libertad es:
Comparando estos valores, se tiene que es menor que Tt, concluyendo que la tendencia en la media no es significativa al 95% de probabilidad, no es necesario corregir la informacin.
D. TENDENCIA EN LA DESVIACIN ESTNDAR
1A la informacin sin tendencia en la media se divide en varios periodos (15).
Para cada periodo se calcula su desviacin estndar respectiva, obteniendo tantos valores de desviaciones estndar como periodos agrupados.
Clculo de los parmetros de la ecuacin de regresin lineal simple, a partir de las desviaciones estandart (anuales) y el tiempo t (en aos considerados), utilizando las ecuaciones dadas para la tendencia en la media.
La media y desviacin estndar del tiempo es:
El promedio del producto entre los datos y el tiempo es:
2Clculo del coeficiente de correlacin entre los datos de precipitacin mensual y el tiempo:
3Comprobacin de la significacin de la tendencia en la media, segn la prueba de Student:
El valor T calculado es:
El valor T tabular con = 0.05 y 13 (15 2) grados de libertad es:
Comparando estos valores, se tiene que es menor que Tt, concluyendo que la tendencia en la desviacin no es significativa al 95% de probabilidad, no es necesario corregir la informacin.
RESULTADOSCUADRO N 3
VALORES DE PRECIPITACIN TOTAL MENSUAL CORREGIDA
AoEneFebMarAbrMayJunJulAgoSepOctNovDicTOTAL
198585.476.260.838.210.921.78.55.529.727.649.999.2513.6
1986102.2109.9109.487.520.91.315.333.241.830.124.043.1618.6
1987105.772.449.015.621.913.829.317.532.445.1109.5110.9623.2
1988113.279.955.461.67.90.92.20.926.558.676.194.0577.3
198954.351.451.025.44.83.31.823.024.332.066.632.2370.2
1990162.038.633.533.533.031.911.939.245.4116.099.768.9713.6
199150.249.599.829.127.129.02.40.069.948.852.949.1507.8
199245.643.931.125.918.930.87.98.752.564.189.366.6485.3
199379.472.983.534.610.732.613.317.335.179.4125.684.1668.5
199488.1100.864.680.119.81.60.08.434.242.538.289.7568.0
1995106.296.762.848.37.10.010.52.819.630.241.976.7502.8
199652.968.251.352.68.60.00.05.49.826.735.738.2349.4
199775.6104.045.526.68.00.71.526.262.644.048.871.4514.9
199895.770.348.628.97.30.50.00.02.047.557.849.3407.9
1999112.9125.690.261.810.73.718.44.942.644.182.889.8687.5
Media88.677.462.443.314.511.58.212.935.249.166.670.9540.6
Mx162.0125.6109.487.533.032.629.339.269.9116.0125.6110.9713.6
Mn45.638.631.115.64.80.00.00.02.026.724.032.2349.4
D.Est31.025.723.321.38.513.68.512.618.323.629.724.1111.2
GRFICO N 3
CONCLUSIONES Y RECOMENDACIONES
Antes de manipular la informacin se debe realizar una visita de campo, revisar la ficha de vida de la estacin en estudio (en caso la tuviera), averiguar lo mximo posible acerca de la estacin, acerca de la cuenca tanto aguas arriba como aguas abajo. En nuestro anlisis no se ha presentado tendencia en la media ni en la desviacin estndar, por tal razn nuestros valores histricos solo se han corregido de salto para el periodo 1985 1989.
Se recomienda utilizar programas como el Excel, por que nos permite analizar gran cantidad de informacin de manera fcil; una vez acabado el anlisis se debera comparar nuestros resultados utilizando programas para el tratamiento de datos hidrolgicos como son: SIH 2000 (Sistema de Informacin Hidrolgica) elaborado por el INRENA.BIBLIOGRAFA
TRATAMIENTOS DE DATOS HIDROMETEOROLGICOS, Segundo Aliaga.
HIDROLOGA ESTADSTICA, Mximo Villn Bejar.
PROFESOR: ING. DOUGLAS SARANGO
_1127936560.unknown
_1127939423.xlsHoja1
ESTACION LA OROYA
Departamento: JuninLatitud:1131'
Provincia: YauliLongitud:7554'
Distrito: La OroyaAltitud:3160 msnm
AoEneFebMarAbrMayJunJulAgoSepOctNovDicTotal
1985149.7133.4106.166.017.636.713.48.050.947.286.7174.1889.8
1986179.4193.0192.1153.335.30.625.457.272.351.740.974.71075.9
1987185.6126.685.125.937.222.750.229.455.878.2192.4194.81083.9
1988198.9139.996.4107.512.40.02.20.045.2102.1133.1164.91002.6
198994.589.388.743.36.94.21.539.141.455.1116.455.3635.7
1990162.038.633.533.533.031.911.939.245.4116.099.768.9713.6
199150.249.599.829.127.129.02.40.069.948.852.949.1507.8
199245.643.931.125.918.930.87.98.752.564.189.366.6485.3
199379.472.983.534.610.732.613.317.335.179.4125.684.1668.5
199488.1100.864.680.119.81.60.08.434.242.538.289.7568.0
1995106.296.762.848.37.10.010.52.819.630.241.976.7502.8
199652.968.251.352.68.60.00.05.49.826.735.738.2349.4
199775.6104.045.526.68.00.71.526.262.644.048.871.4514.9
199895.770.348.628.97.30.50.00.02.047.557.849.3407.9
1999112.9125.690.261.810.73.718.44.942.644.182.889.8687.5
Media111.896.878.654.517.413.010.616.442.658.582.889.8672.9
Max198.9193.0192.1153.337.236.750.257.272.3116.0192.4194.81083.9
Min45.638.631.125.96.90.00.00.02.026.735.738.2349.4
D. Est.51.242.139.836.010.915.213.417.720.325.344.848.3237.9
Hoja2
AOVALORES DE PRECIPITACION TOTAL ANUALPROMEDIOPROM. ACUMULADOPRECIPITACION TOTAL ANUAL (mm)
QUIULLACASARACRALA CIMALA OROYAQUIULLACASARACRALA CIMALA OROYA
1985675.40637.70452.00889.80663.73663.73675.40637.70452.00889.80
1986673.60736.50558.501,076.00761.151,424.881,349.001,374.201,010.501,965.80
1987542.30590.00500.801,083.70679.202,104.081,891.301,964.201,511.303,049.50
1988651.30588.30606.701,002.50712.202,816.282,542.602,552.502,118.004,052.00
1989598.80700.60607.80635.70635.733,452.003,141.403,253.102,725.804,687.70
1990459.10639.90714.80713.60631.854,083.853,600.503,893.003,440.605,401.30
1991602.10729.60722.00507.80640.384,724.234,202.604,622.604,162.605,909.10
1992802.80845.20868.80485.20750.505,474.735,005.405,467.805,031.406,394.30
1993637.80976.50742.30668.50756.286,231.005,643.206,444.305,773.707,062.80
1994618.30886.80584.00568.20664.336,895.336,261.507,331.106,357.707,631.00
1995719.00816.50716.40502.80688.687,584.006,980.508,147.607,074.108,133.80
1996511.10663.90646.30349.40542.688,126.687,491.608,811.507,720.408,483.20
1997565.40712.60688.20514.90620.288,746.958,057.009,524.108,408.608,998.10
1998750.30914.80947.10407.90755.039,501.988,807.3010,438.909,355.709,406.00
1999507.60469.10645.30687.60577.4010,079.389,314.9010,908.0010,001.0010,093.60
CORREGIDO-SALTO
85.4428107229
76.2426025566
60.8336649529
38.2000240038
10.8816144793
21.6622265024
8.5110086941
5.4630869703
29.6771317761
27.5887409654
49.8837239451
99.214901475
102.2063802039
109.8826275083
109.3746405543
87.4747585388
20.872024574
1.2863053487
15.2841680803
33.2330404539
41.7559326816
30.1286757352
24.0328322876
43.1105645588
105.7058458868
72.4044789044
48.9806360269
15.5663830548
21.9444414768
13.7602072184
29.2820308119
17.5418878758
32.4428385255
45.0860693798
109.543969539
110.8986014162
113.2127642065
79.9113972241
55.358694449
61.6238668813
7.9465787452
0.9476473794
2.1893932669
0.9476473794
26.4598810676
58.5759451575
76.0732735719
94.0221459455
54.2862775462
51.3512418121
51.0125838428
25.3874641648
4.8422140265
3.3182531646
1.7942923027
23.0168583796
24.315047262
32.0477375613
66.6472934261
32.1606235511
162
38.6
33.5
33.5
33
31.9
11.9
39.2
45.4
116
99.7
68.9
50.2
49.5
99.8
29.1
27.1
29
2.4
0
69.9
48.8
52.9
49.1
45.6
43.9
31.1
25.9
18.9
30.8
7.9
8.7
52.5
64.1
89.3
66.6
79.4
72.9
83.5
34.6
10.7
32.6
13.3
17.3
35.1
79.4
125.6
84.1
88.1
100.8
64.6
80.1
19.8
1.6
0
8.4
34.2
42.5
38.2
89.7
106.2
96.7
62.8
48.3
7.1
0
10.5
2.8
19.6
30.2
41.9
76.7
52.9
68.2
51.3
52.6
8.6
0
0
5.4
9.8
26.7
35.7
38.2
75.6
104
45.5
26.6
8
0.7
1.5
26.2
62.6
44
48.8
71.4
95.7
70.3
48.6
28.9
7.3
0.5
0
0
2
47.5
57.8
49.3
112.9
125.6
90.2
61.8
10.7
3.7
18.4
4.9
42.6
44.1
82.8
89.8
LA OROYA
AO
PRECIPITACION (mm)
HISTOGRAMA DE PRECIPITACIN TOTAL MENSUAL CORREGIDA DE SALTO -LA OROYA
Hoja3
DepartamentoJuninLatitud11 31'DepartamentoJuninLatitud11 31'
ProvinciaYauliLongituud75 54'ProvinciaYauliLongituud75 54'
DistritoLa OroyaAltitud3160msnm.DistritoLa OroyaAltitud3160msnm.
AoEneFebMarAbrMayJunJulAgoSepOctNovDicTOTALAoEneFebMarAbrMayJunJulAgoSepOctNovDicTOTAL
1985149.7133.4106.166.017.636.713.48.050.947.286.7174.1889.8198585.476.260.838.210.921.78.55.529.727.649.999.2513.6
1986179.4193.0192.1153.335.30.625.457.272.351.740.974.71075.91986102.2109.9109.487.520.91.315.333.241.830.124.043.1618.6
1987185.6126.685.125.937.222.750.229.455.878.2192.4194.81083.91987105.772.449.015.621.913.829.317.532.445.1109.5110.9623.2
1988198.9139.996.4107.512.40.02.20.045.2102.1133.1164.91002.61988113.279.955.461.67.90.92.20.926.558.676.194.0577.3
198994.589.388.743.36.94.21.539.141.455.1116.455.3635.7198954.351.451.025.44.83.31.823.024.332.066.632.2370.2
1990162.038.633.533.533.031.911.939.245.4116.099.768.9713.61990162.038.633.533.533.031.911.939.245.4116.099.768.9713.6
199150.249.599.829.127.129.02.40.069.948.852.949.1507.8199150.249.599.829.127.129.02.40.069.948.852.949.1507.8
199245.643.931.125.918.930.87.98.752.564.189.366.6485.3199245.643.931.125.918.930.87.98.752.564.189.366.6485.3
199379.472.983.534.610.732.613.317.335.179.4125.684.1668.5199379.472.983.534.610.732.613.317.335.179.4125.684.1668.5
199488.1100.864.680.119.81.60.08.434.242.538.289.7568.0199488.1100.864.680.119.81.60.08.434.242.538.289.7568.0
1995106.296.762.848.37.10.010.52.819.630.241.976.7502.81995106.296.762.848.37.10.010.52.819.630.241.976.7502.8
199652.968.251.352.68.60.00.05.49.826.735.738.2349.4199652.968.251.352.68.60.00.05.49.826.735.738.2349.4
199775.6104.045.526.68.00.71.526.262.644.048.871.4514.9199775.6104.045.526.68.00.71.526.262.644.048.871.4514.9
199895.770.348.628.97.30.50.00.02.047.557.849.3407.9199895.770.348.628.97.30.50.00.02.047.557.849.3407.9
1999112.9125.690.261.810.73.718.44.942.644.182.889.8687.51999112.9125.690.261.810.73.718.44.942.644.182.889.8687.5
Media111.896.878.654.517.413.010.616.442.658.582.889.8672.9Media88.677.462.443.314.511.58.212.935.249.166.670.9540.6
Mx198.9193.0192.1153.337.236.750.257.272.3116.0192.4194.81083.9Mx162.0125.6109.487.533.032.629.339.269.9116.0125.6110.9713.6
Mn45.638.631.125.96.90.00.00.02.026.735.738.2349.4Mn45.638.631.115.64.80.00.00.02.026.724.032.2349.4
D.Est51.242.139.836.010.915.213.417.720.325.344.848.3237.9D.Est31.025.723.321.38.513.68.512.618.323.629.724.1111.2
CORREGIDOS DE SALTO
AOPPN1N2AOPPPP CORREGIDO
1985149.7149.7162.01.0ANALISIS DE SALTO1985149.785.44
1985133.4133.438.62.01985133.476.24
1985106.1106.133.53.0ANALISIS DE SALTO1er. Periodo:N1 =60P1 =78.13S1 =60.96N2 - 1 = 1241985106.160.83
198566.066.033.54.02do. Periodo:N2 =120P2 =45.05S2 =34.41N1 - 1 =54198566.038.20
198517.617.633.05.0198517.610.88
198536.736.731.96.0PRUEBA DE MEDIASAlfa =0.05G.L. =178Sp =44.98Sd =7.11Tc =4.65198536.721.66
198513.413.411.97.0Tt =1.96198513.48.51
19858.08.039.28.019858.05.46
198550.950.945.49.0Como /Tc/198550.929.68
198547.247.2116.010.0198547.227.59
198586.786.799.711.0DESVIACIN ESTANDAR198586.749.88
1985174.1174.168.912.0VARIANZA N13715.70965819211985174.199.21
1986179.4179.450.213.0VARIANZA N21183.75511974791986179.4102.21
1986193.0193.049.514.01986193.0109.88
1986192.1192.199.815.01986192.1109.37
1986153.3153.329.116.01986153.387.47
198635.335.327.117.0198635.320.87
19860.60.629.018.019860.61.29
198625.425.42.419.0198625.415.28
198657.257.20.020.0198657.233.23
198672.372.369.921.0198672.341.76
198651.751.748.822.0198651.730.13
198640.940.952.923.0198640.924.03
198674.774.749.124.0198674.743.11
1987185.6185.645.625.01987185.6105.71
1987126.6126.643.926.01987126.672.40
198785.185.131.127.0198785.148.98
198725.925.925.928.0198725.915.57
198737.237.218.929.0198737.221.94
198722.722.730.830.0198722.713.76
198750.250.27.931.0198750.229.28
198729.429.48.732.0198729.417.54
198755.855.852.533.0198755.832.44
198778.278.264.134.0198778.245.09
1987192.4192.489.335.01987192.4109.54
1987194.8194.866.636.01987194.8110.90
1988198.9198.979.437.01988198.9113.21
1988139.9139.972.938.01988139.979.91
198896.496.483.539.0198896.455.36
1988107.5107.534.640.01988107.561.62
198812.412.410.741.0198812.47.95
19880.00.032.642.019880.00.95
19882.22.213.343.019882.22.19
19880.00.017.344.019880.00.95
198845.245.235.145.0198845.226.46
1988102.1102.179.446.01988102.158.58
1988133.1133.1125.647.01988133.176.07
1988164.9164.984.148.01988164.994.02
198994.594.588.149.0198994.554.29
198989.389.3100.850.0198989.351.35
198988.788.764.651.0198988.751.01
198943.343.380.152.0198943.325.39
19896.96.919.853.019896.94.84
19894.24.21.654.019894.23.32
19891.51.50.055.019891.51.79
198939.139.18.456.0198939.123.02
198941.441.434.257.0198941.424.32
198955.155.142.558.0198955.132.05
1989116.4116.438.259.01989116.466.65
198955.355.389.760.0198955.332.16
1990162.078.1106.261.01990162.0162.0
199038.661.096.762.0199038.638.6
199033.562.863.0199033.533.5
199033.548.364.0199033.533.5
199033.07.165.0199033.033.0
199031.90.066.0199031.931.9
199011.910.567.0199011.911.9
199039.22.868.0199039.239.2
199045.419.669.0199045.445.4
1990116.030.270.01990116.0116.0
199099.741.971.0199099.799.7
199068.976.772.0199068.968.9
199150.252.973.0199150.250.2
199149.568.274.0199149.549.5
199199.851.375.0199199.899.8
199129.152.676.0199129.129.1
199127.18.677.0199127.127.1
199129.00.078.0199129.029.0
19912.40.079.019912.42.4
19910.05.480.019910.00.0
199169.99.881.0199169.969.9
199148.826.782.0199148.848.8
199152.935.783.0199152.952.9
199149.138.284.0199149.149.1
199245.675.685.0199245.645.6
199243.9104.086.0199243.943.9
199231.145.587.0199231.131.1
199225.926.688.0199225.925.9
199218.98.089.0199218.918.9
199230.80.790.0199230.830.8
19927.91.591.019927.97.9
19928.726.292.019928.78.7
199252.562.693.0199252.552.5
199264.144.094.0199264.164.1
199289.348.895.0199289.389.3
199266.671.496.0199266.666.6
199379.495.797.0199379.479.4
199372.970.398.0199372.972.9
199383.548.699.0199383.583.5
199334.628.9100.0199334.634.6
199310.77.3101.0199310.710.7
199332.60.5102.0199332.632.6
199313.30.0103.0199313.313.3
199317.30.0104.0199317.317.3
199335.12.0105.0199335.135.1
199379.447.5106.0199379.479.4
1993125.657.8107.01993125.6125.6
199384.149.3108.0199384.184.1
199488.1112.9109.0199488.188.1
1994100.8125.6110.01994100.8100.8
199464.690.2111.0199464.664.6
199480.161.8112.0199480.180.1
199419.810.7113.0199419.819.8
19941.63.7114.019941.61.6
19940.018.4115.019940.00.0
19948.44.9116.019948.48.4
199434.242.6117.0199434.234.2
199442.544.1118.0199442.542.5
199438.282.8119.0199438.238.2
199489.789.8120.0199489.789.7
1995106.245.0121.01995106.2106.2
199596.734.4122.0199596.796.7
199562.8123.0199562.862.8
199548.3124.0199548.348.3
19957.1125.019957.17.1
19950.0126.019950.00.0
199510.5127.0199510.510.5
19952.8128.019952.82.8
199519.6129.0199519.619.6
199530.2130.0199530.230.2
199541.9131.0199541.941.9
199576.7132.0199576.776.7
199652.9133.0199652.952.9
199668.2134.0199668.268.2
199651.3135.0199651.351.3
199652.6136.0199652.652.6
19968.6137.019968.68.6
19960.0138.019960.00.0
19960.0139.019960.00.0
19965.4140.019965.45.4
19969.8141.019969.89.8
199626.7142.0199626.726.7
199635.7143.0199635.735.7
199638.2144.0199638.238.2
199775.6145.0199775.675.6
1997104.0146.01997104.0104.0
199745.5147.0199745.545.5
199726.6148.0199726.626.6
19978.0149.019978.08.0
19970.7150.019970.70.7
19971.5151.019971.51.5
199726.2152.0199726.226.2
199762.6153.0199762.662.6
199744.0154.0199744.044.0
199748.8155.0199748.848.8
199771.4156.0199771.471.4
199895.7157.0199895.795.7
199870.3158.0199870.370.3
199848.6159.0199848.648.6
199828.9160.0199828.928.9
19987.3161.019987.37.3
19980.5162.019980.50.5
19980.0163.019980.00.0
19980.0164.019980.00.0
19982.0165.019982.02.0
199847.5166.0199847.547.5
199857.8167.0199857.857.8
199849.3168.0199849.349.3
1999112.9169.01999112.9112.9
1999125.6170.01999125.6125.6
199990.2171.0199990.290.2
199961.8172.0199961.861.8
199910.7173.0199910.710.7
19993.7174.019993.73.7
199918.4175.0199918.418.4
19994.9176.019994.94.9
199942.6177.0199942.642.6
199944.1178.0199944.144.1
199982.8179.0199982.882.8
199989.8180.0199989.889.8
HISTOGRAMA OROYA
149.7
133.4
106.1
66
17.6
36.7
13.4
8
50.9
47.2
86.7
174.1
179.4
193
192.1
153.3
35.3
0.6
25.4
57.2
72.3
51.7
40.9
74.7
185.6
126.6
85.1
25.9
37.2
22.7
50.2
29.4
55.8
78.2
192.4
194.8
198.9
139.9
96.4
107.5
12.4
0
2.2
0
45.2
102.1
133.1
164.9
94.5
89.3
88.7
43.3
6.9
4.2
1.5
39.1
41.4
55.1
116.4
55.3
162
38.6
33.5
33.5
33
31.9
11.9
39.2
45.4
116
99.7
68.9
50.2
49.5
99.8
29.1
27.1
29
2.4
0
69.9
48.8
52.9
49.1
45.6
43.9
31.1
25.9
18.9
30.8
7.9
8.7
52.5
64.1
89.3
66.6
79.4
72.9
83.5
34.6
10.7
32.6
13.3
17.3
35.1
79.4
125.6
84.1
88.1
100.8
64.6
80.1
19.8
1.6
0
8.4
34.2
42.5
38.2
89.7
106.2
96.7
62.8
48.3
7.1
0
10.5
2.8
19.6
30.2
41.9
76.7
52.9
68.2
51.3
52.6
8.6
0
0
5.4
9.8
26.7
35.7
38.2
75.6
104
45.5
26.6
8
0.7
1.5
26.2
62.6
44
48.8
71.4
95.7
70.3
48.6
28.9
7.3
0.5
0
0
2
47.5
57.8
49.3
112.9
125.6
90.2
61.8
10.7
3.7
18.4
4.9
42.6
44.1
82.8
89.8
OROYA
AO
PP (mm)
HISTOGRAMA - LA OROYA
DOBLE MASA
889.8
1965.8
3049.5
4052
4687.7
5401.3
5909.1
6394.3
7062.8
7631
8133.8
8483.2
8998.1
9406
10093.6
LA OROYA
EST. QUIULLA
EST. LA OROYA
CDM - LA OROYA
_1127940005.unknown
_1127955446.unknown
_1127955578.unknown
_1127956154.unknown
_1127956641.xlsHoja1
ESTACION LA OROYA
Departamento: JuninLatitud:1131'
Provincia: YauliLongitud:7554'
Distrito: La OroyaAltitud:3160 msnm
AoEneFebMarAbrMayJunJulAgoSepOctNovDicTotal
1985149.7133.4106.166.017.636.713.48.050.947.286.7174.1889.8
1986179.4193.0192.1153.335.30.625.457.272.351.740.974.71075.9
1987185.6126.685.125.937.222.750.229.455.878.2192.4194.81083.9
1988198.9139.996.4107.512.40.02.20.045.2102.1133.1164.91002.6
198994.589.388.743.36.94.21.539.141.455.1116.455.3635.7
1990162.038.633.533.533.031.911.939.245.4116.099.768.9713.6
199150.249.599.829.127.129.02.40.069.948.852.949.1507.8
199245.643.931.125.918.930.87.98.752.564.189.366.6485.3
199379.472.983.534.610.732.613.317.335.179.4125.684.1668.5
199488.1100.864.680.119.81.60.08.434.242.538.289.7568.0
1995106.296.762.848.37.10.010.52.819.630.241.976.7502.8
199652.968.251.352.68.60.00.05.49.826.735.738.2349.4
199775.6104.045.526.68.00.71.526.262.644.048.871.4514.9
199895.770.348.628.97.30.50.00.02.047.557.849.3407.9
1999112.9125.690.261.810.73.718.44.942.644.182.889.8687.5
Media111.896.878.654.517.413.010.616.442.658.582.889.8672.9
Max198.9193.0192.1153.337.236.750.257.272.3116.0192.4194.81083.9
Min45.638.631.125.96.90.00.00.02.026.735.738.2349.4
D. Est.51.242.139.836.010.915.213.417.720.325.344.848.3237.9
Hoja2
AOVALORES DE PRECIPITACION TOTAL ANUALPROMEDIOPROM. ACUMULADOPRECIPITACION TOTAL ANUAL (mm)
QUIULLACASARACRALA CIMALA OROYAQUIULLACASARACRALA CIMALA OROYA
1985675.40637.70452.00889.80663.73663.73675.40637.70452.00889.80
1986673.60736.50558.501,076.00761.151,424.881,349.001,374.201,010.501,965.80
1987542.30590.00500.801,083.70679.202,104.081,891.301,964.201,511.303,049.50
1988651.30588.30606.701,002.50712.202,816.282,542.602,552.502,118.004,052.00
1989598.80700.60607.80635.70635.733,452.003,141.403,253.102,725.804,687.70
1990459.10639.90714.80713.60631.854,083.853,600.503,893.003,440.605,401.30
1991602.10729.60722.00507.80640.384,724.234,202.604,622.604,162.605,909.10
1992802.80845.20868.80485.20750.505,474.735,005.405,467.805,031.406,394.30
1993637.80976.50742.30668.50756.286,231.005,643.206,444.305,773.707,062.80
1994618.30886.80584.00568.20664.336,895.336,261.507,331.106,357.707,631.00
1995719.00816.50716.40502.80688.687,584.006,980.508,147.607,074.108,133.80
1996511.10663.90646.30349.40542.688,126.687,491.608,811.507,720.408,483.20
1997565.40712.60688.20514.90620.288,746.958,057.009,524.108,408.608,998.10
1998750.30914.80947.10407.90755.039,501.988,807.3010,438.909,355.709,406.00
1999507.60469.10645.30687.60577.4010,079.389,314.9010,908.0010,001.0010,093.60
CORREGIDO-SALTO
85.4428107229
76.2426025566
60.8336649529
38.2000240038
10.8816144793
21.6622265024
8.5110086941
5.4630869703
29.6771317761
27.5887409654
49.8837239451
99.214901475
102.2063802039
109.8826275083
109.3746405543
87.4747585388
20.872024574
1.2863053487
15.2841680803
33.2330404539
41.7559326816
30.1286757352
24.0328322876
43.1105645588
105.7058458868
72.4044789044
48.9806360269
15.5663830548
21.9444414768
13.7602072184
29.2820308119
17.5418878758
32.4428385255
45.0860693798
109.543969539
110.8986014162
113.2127642065
79.9113972241
55.358694449
61.6238668813
7.9465787452
0.9476473794
2.1893932669
0.9476473794
26.4598810676
58.5759451575
76.0732735719
94.0221459455
54.2862775462
51.3512418121
51.0125838428
25.3874641648
4.8422140265
3.3182531646
1.7942923027
23.0168583796
24.315047262
32.0477375613
66.6472934261
32.1606235511
162
38.6
33.5
33.5
33
31.9
11.9
39.2
45.4
116
99.7
68.9
50.2
49.5
99.8
29.1
27.1
29
2.4
0
69.9
48.8
52.9
49.1
45.6
43.9
31.1
25.9
18.9
30.8
7.9
8.7
52.5
64.1
89.3
66.6
79.4
72.9
83.5
34.6
10.7
32.6
13.3
17.3
35.1
79.4
125.6
84.1
88.1
100.8
64.6
80.1
19.8
1.6
0
8.4
34.2
42.5
38.2
89.7
106.2
96.7
62.8
48.3
7.1
0
10.5
2.8
19.6
30.2
41.9
76.7
52.9
68.2
51.3
52.6
8.6
0
0
5.4
9.8
26.7
35.7
38.2
75.6
104
45.5
26.6
8
0.7
1.5
26.2
62.6
44
48.8
71.4
95.7
70.3
48.6
28.9
7.3
0.5
0
0
2
47.5
57.8
49.3
112.9
125.6
90.2
61.8
10.7
3.7
18.4
4.9
42.6
44.1
82.8
89.8
LA OROYA
AO
PRECIPITACION (mm)
HISTOGRAMA DE PRECIPITACIN TOTAL MENSUAL CORREGIDA -LA OROYA
Hoja3
DepartamentoJuninLatitud11 31'DepartamentoJuninLatitud11 31'
ProvinciaYauliLongituud75 54'ProvinciaYauliLongituud75 54'
DistritoLa OroyaAltitud3160msnm.DistritoLa OroyaAltitud3160msnm.
AoEneFebMarAbrMayJunJulAgoSepOctNovDicTOTALAoEneFebMarAbrMayJunJulAgoSepOctNovDicTOTAL
1985149.7133.4106.166.017.636.713.48.050.947.286.7174.1889.8198585.476.260.838.210.921.78.55.529.727.649.999.2513.6
1986179.4193.0192.1153.335.30.625.457.272.351.740.974.71075.91986102.2109.9109.487.520.91.315.333.241.830.124.043.1618.6
1987185.6126.685.125.937.222.750.229.455.878.2192.4194.81083.91987105.772.449.015.621.913.829.317.532.445.1109.5110.9623.2
1988198.9139.996.4107.512.40.02.20.045.2102.1133.1164.91002.61988113.279.955.461.67.90.92.20.926.558.676.194.0577.3
198994.589.388.743.36.94.21.539.141.455.1116.455.3635.7198954.351.451.025.44.83.31.823.024.332.066.632.2370.2
1990162.038.633.533.533.031.911.939.245.4116.099.768.9713.61990162.038.633.533.533.031.911.939.245.4116.099.768.9713.6
199150.249.599.829.127.129.02.40.069.948.852.949.1507.8199150.249.599.829.127.129.02.40.069.948.852.949.1507.8
199245.643.931.125.918.930.87.98.752.564.189.366.6485.3199245.643.931.125.918.930.87.98.752.564.189.366.6485.3
199379.472.983.534.610.732.613.317.335.179.4125.684.1668.5199379.472.983.534.610.732.613.317.335.179.4125.684.1668.5
199488.1100.864.680.119.81.60.08.434.242.538.289.7568.0199488.1100.864.680.119.81.60.08.434.242.538.289.7568.0
1995106.296.762.848.37.10.010.52.819.630.241.976.7502.81995106.296.762.848.37.10.010.52.819.630.241.976.7502.8
199652.968.251.352.68.60.00.05.49.826.735.738.2349.4199652.968.251.352.68.60.00.05.49.826.735.738.2349.4
199775.6104.045.526.68.00.71.526.262.644.048.871.4514.9199775.6104.045.526.68.00.71.526.262.644.048.871.4514.9
199895.770.348.628.97.30.50.00.02.047.557.849.3407.9199895.770.348.628.97.30.50.00.02.047.557.849.3407.9
1999112.9125.690.261.810.73.718.44.942.644.182.889.8687.51999112.9125.690.261.810.73.718.44.942.644.182.889.8687.5
Media111.896.878.654.517.413.010.616.442.658.582.889.8672.9Media88.677.462.443.314.511.58.212.935.249.166.670.9540.6
Mx198.9193.0192.1153.337.236.750.257.272.3116.0192.4194.81083.9Mx162.0125.6109.487.533.032.629.339.269.9116.0125.6110.9713.6
Mn45.638.631.125.96.90.00.00.02.026.735.738.2349.4Mn45.638.631.115.64.80.00.00.02.026.724.032.2349.4
D.Est51.242.139.836.010.915.213.417.720.325.344.848.3237.9D.Est31.025.723.321.38.513.68.512.618.323.629.724.1111.2
CORREGIDOS DE SALTO
AOPPN1N2AOPPPP CORREGIDO
1985149.7149.7162.01.0ANALISIS DE SALTO1985149.785.44
1985133.4133.438.62.01985133.476.24
1985106.1106.133.53.0ANALISIS DE SALTO1er. Periodo:N1 =60P1 =78.13S1 =60.96N2 - 1 = 1241985106.160.83
198566.066.033.54.02do. Periodo:N2 =120P2 =45.05S2 =34.41N1 - 1 =54198566.038.20
198517.617.633.05.0198517.610.88
198536.736.731.96.0PRUEBA DE MEDIASAlfa =0.05G.L. =178Sp =44.98Sd =7.11Tc =4.65198536.721.66
198513.413.411.97.0Tt =1.96198513.48.51
19858.08.039.28.019858.05.46
198550.950.945.49.0Como /Tc/198550.929.68
198547.247.2116.010.0198547.227.59
198586.786.799.711.0DESVIACIN ESTANDAR198586.749.88
1985174.1174.168.912.0VARIANZA N13715.70965819211985174.199.21
1986179.4179.450.213.0VARIANZA N21183.75511974791986179.4102.21
1986193.0193.049.514.01986193.0109.88
1986192.1192.199.815.01986192.1109.37
1986153.3153.329.116.01986153.387.47
198635.335.327.117.0198635.320.87
19860.60.629.018.019860.61.29
198625.425.42.419.0198625.415.28
198657.257.20.020.0198657.233.23
198672.372.369.921.0198672.341.76
198651.751.748.822.0198651.730.13
198640.940.952.923.0198640.924.03
198674.774.749.124.0198674.743.11
1987185.6185.645.625.01987185.6105.71
1987126.6126.643.926.01987126.672.40
198785.185.131.127.0198785.148.98
198725.925.925.928.0198725.915.57
198737.237.218.929.0198737.221.94
198722.722.730.830.0198722.713.76
198750.250.27.931.0198750.229.28
198729.429.48.732.0198729.417.54
198755.855.852.533.0198755.832.44
198778.278.264.134.0198778.245.09
1987192.4192.489.335.01987192.4109.54
1987194.8194.866.636.01987194.8110.90
1988198.9198.979.437.01988198.9113.21
1988139.9139.972.938.01988139.979.91
198896.496.483.539.0198896.455.36
1988107.5107.534.640.01988107.561.62
198812.412.410.741.0198812.47.95
19880.00.032.642.019880.00.95
19882.22.213.343.019882.22.19
19880.00.017.344.019880.00.95
198845.245.235.145.0198845.226.46
1988102.1102.179.446.01988102.158.58
1988133.1133.1125.647.01988133.176.07
1988164.9164.984.148.01988164.994.02
198994.594.588.149.0198994.554.29
198989.389.3100.850.0198989.351.35
198988.788.764.651.0198988.751.01
198943.343.380.152.0198943.325.39
19896.96.919.853.019896.94.84
19894.24.21.654.019894.23.32
19891.51.50.055.019891.51.79
198939.139.18.456.0198939.123.02
198941.441.434.257.0198941.424.32
198955.155.142.558.0198955.132.05
1989116.4116.438.259.01989116.466.65
198955.355.389.760.0198955.332.16
1990162.078.1106.261.01990162.0162.0
199038.661.096.762.0199038.638.6
199033.562.863.0199033.533.5
199033.548.364.0199033.533.5
199033.07.165.0199033.033.0
199031.90.066.0199031.931.9
199011.910.567.0199011.911.9
199039.22.868.0199039.239.2
199045.419.669.0199045.445.4
1990116.030.270.01990116.0116.0
199099.741.971.0199099.799.7
199068.976.772.0199068.968.9
199150.252.973.0199150.250.2
199149.568.274.0199149.549.5
199199.851.375.0199199.899.8
199129.152.676.0199129.129.1
199127.18.677.0199127.127.1
199129.00.078.0199129.029.0
19912.40.079.019912.42.4
19910.05.480.019910.00.0
199169.99.881.0199169.969.9
199148.826.782.0199148.848.8
199152.935.783.0199152.952.9
199149.138.284.0199149.149.1
199245.675.685.0199245.645.6
199243.9104.086.0199243.943.9
199231.145.587.0199231.131.1
199225.926.688.0199225.925.9
199218.98.089.0199218.918.9
199230.80.790.0199230.830.8
19927.91.591.019927.97.9
19928.726.292.019928.78.7
199252.562.693.0199252.552.5
199264.144.094.0199264.164.1
199289.348.895.0199289.389.3
199266.671.496.0199266.666.6
199379.495.797.0199379.479.4
199372.970.398.0199372.972.9
199383.548.699.0199383.583.5
199334.628.9100.0199334.634.6
199310.77.3101.0199310.710.7
199332.60.5102.0199332.632.6
199313.30.0103.0199313.313.3
199317.30.0104.0199317.317.3
199335.12.0105.0199335.135.1
199379.447.5106.0199379.479.4
1993125.657.8107.01993125.6125.6
199384.149.3108.0199384.184.1
199488.1112.9109.0199488.188.1
1994100.8125.6110.01994100.8100.8
199464.690.2111.0199464.664.6
199480.161.8112.0199480.180.1
199419.810.7113.0199419.819.8
19941.63.7114.019941.61.6
19940.018.4115.019940.00.0
19948.44.9116.019948.48.4
199434.242.6117.0199434.234.2
199442.544.1118.0199442.542.5
199438.282.8119.0199438.238.2
199489.789.8120.0199489.789.7
1995106.245.0121.01995106.2106.2
199596.734.4122.0199596.796.7
199562.8123.0199562.862.8
199548.3124.0199548.348.3
19957.1125.019957.17.1
19950.0126.019950.00.0
199510.5127.0199510.510.5
19952.8128.019952.82.8
199519.6129.0199519.619.6
199530.2130.0199530.230.2
199541.9131.0199541.941.9
199576.7132.0199576.776.7
199652.9133.0199652.952.9
199668.2134.0199668.268.2
199651.3135.0199651.351.3
199652.6136.0199652.652.6
19968.6137.019968.68.6
19960.0138.019960.00.0
19960.0139.019960.00.0
19965.4140.019965.45.4
19969.8141.019969.89.8
199626.7142.0199626.726.7
199635.7143.0199635.735.7
199638.2144.0199638.238.2
199775.6145.0199775.675.6
1997104.0146.01997104.0104.0
199745.5147.0199745.545.5
199726.6148.0199726.626.6
19978.0149.019978.08.0
19970.7150.019970.70.7
19971.5151.019971.51.5
199726.2152.0199726.226.2
199762.6153.0199762.662.6
199744.0154.0199744.044.0
199748.8155.0199748.848.8
199771.4156.0199771.471.4
199895.7157.0199895.795.7
199870.3158.0199870.370.3
199848.6159.0199848.648.6
199828.9160.0199828.928.9
19987.3161.019987.37.3
19980.5162.019980.50.5
19980.0163.019980.00.0
19980.0164.019980.00.0
19982.0165.019982.02.0
199847.5166.0199847.547.5
199857.8167.0199857.857.8
199849.3168.0199849.349.3
1999112.9169.01999112.9112.9
1999125.6170.01999125.6125.6
199990.2171.0199990.290.2
199961.8172.0199961.861.8
199910.7173.0199910.710.7
19993.7174.019993.73.7
199918.4175.0199918.418.4
19994.9176.019994.94.9
199942.6177.0199942.642.6
199944.1178.0199944.144.1
199982.8179.0199982.882.8
199989.8180.0199989.889.8
HISTOGRAMA OROYA
149.7
133.4
106.1
66
17.6
36.7
13.4
8
50.9
47.2
86.7
174.1
179.4
193
192.1
153.3
35.3
0.6
25.4
57.2
72.3
51.7
40.9
74.7
185.6
126.6
85.1
25.9
37.2
22.7
50.2
29.4
55.8
78.2
192.4
194.8
198.9
139.9
96.4
107.5
12.4
0
2.2
0
45.2
102.1
133.1
164.9
94.5
89.3
88.7
43.3
6.9
4.2
1.5
39.1
41.4
55.1
116.4
55.3
162
38.6
33.5
33.5
33
31.9
11.9
39.2
45.4
116
99.7
68.9
50.2
49.5
99.8
29.1
27.1
29
2.4
0
69.9
48.8
52.9
49.1
45.6
43.9
31.1
25.9
18.9
30.8
7.9
8.7
52.5
64.1
89.3
66.6
79.4
72.9
83.5
34.6
10.7
32.6
13.3
17.3
35.1
79.4
125.6
84.1
88.1
100.8
64.6
80.1
19.8
1.6
0
8.4
34.2
42.5
38.2
89.7
106.2
96.7
62.8
48.3
7.1
0
10.5
2.8
19.6
30.2
41.9
76.7
52.9
68.2
51.3
52.6
8.6
0
0
5.4
9.8
26.7
35.7
38.2
75.6
104
45.5
26.6
8
0.7
1.5
26.2
62.6
44
48.8
71.4
95.7
70.3
48.6
28.9
7.3
0.5
0
0
2
47.5
57.8
49.3
112.9
125.6
90.2
61.8
10.7
3.7
18.4
4.9
42.6
44.1
82.8
89.8
OROYA
AO
PP (mm)
HISTOGRAMA - LA OROYA
DOBLE MASA
889.8
1965.8
3049.5
4052
4687.7
5401.3
5909.1
6394.3
7062.8
7631
8133.8
8483.2
8998.1
9406
10093.6
LA OROYA
EST. QUIULLA
EST. LA OROYA
CDM - LA OROYA
_1127955770.unknown
_1127955551.unknown
_1127940350.unknown
_1127955417.unknown
_1127940159.unknown
_1127939901.unknown
_1127939918.unknown
_1127939881.unknown
_1127937025.unknown
_1127937481.unknown
_1127938696.xlsHoja1
ESTACION LA OROYA
Departamento: JuninLatitud:1131'
Provincia: YauliLongitud:7554'
Distrito: La OroyaAltitud:3160 msnm
AoEneFebMarAbrMayJunJulAgoSepOctNovDicTotal
1985149.7133.4106.166.017.636.713.48.050.947.286.7174.1889.8
1986179.4193.0192.1153.335.30.625.457.272.351.740.974.71075.9
1987185.6126.685.125.937.222.750.229.455.878.2192.4194.81083.9
1988198.9139.996.4107.512.40.02.20.045.2102.1133.1164.91002.6
198994.589.388.743.36.94.21.539.141.455.1116.455.3635.7
1990162.038.633.533.533.031.911.939.245.4116.099.768.9713.6
199150.249.599.829.127.129.02.40.069.948.852.949.1507.8
199245.643.931.125.918.930.87.98.752.564.189.366.6485.3
199379.472.983.534.610.732.613.317.335.179.4125.684.1668.5
199488.1100.864.680.119.81.60.08.434.242.538.289.7568.0
1995106.296.762.848.37.10.010.52.819.630.241.976.7502.8
199652.968.251.352.68.60.00.05.49.826.735.738.2349.4
199775.6104.045.526.68.00.71.526.262.644.048.871.4514.9
199895.770.348.628.97.30.50.00.02.047.557.849.3407.9
1999112.9125.690.261.810.73.718.44.942.644.182.889.8687.5
Media111.896.878.654.517.413.010.616.442.658.582.889.8672.9
Max198.9193.0192.1153.337.236.750.257.272.3116.0192.4194.81083.9
Min45.638.631.125.96.90.00.00.02.026.735.738.2349.4
D. Est.51.242.139.836.010.915.213.417.720.325.344.848.3237.9
Hoja2
AOVALORES DE PRECIPITACION TOTAL ANUALPROMEDIOPROM. ACUMULADOPRECIPITACION TOTAL ANUAL (mm)
QUIULLACASARACRALA CIMALA OROYAQUIULLACASARACRALA CIMALA OROYA
1985675.40637.70452.00889.80663.73663.73675.40637.70452.00889.80
1986673.60736.50558.501,076.00761.151,424.881,349.001,374.201,010.501,965.80
1987542.30590.00500.801,083.70679.202,104.081,891.301,964.201,511.303,049.50
1988651.30588.30606.701,002.50712.202,816.282,542.602,552.502,118.004,052.00
1989598.80700.60607.80635.70635.733,452.003,141.403,253.102,725.804,687.70
1990459.10639.90714.80713.60631.854,083.853,600.503,893.003,440.605,401.30
1991602.10729.60722.00507.80640.384,724.234,202.604,622.604,162.605,909.10
1992802.80845.20868.80485.20750.505,474.735,005.405,467.805,031.406,394.30
1993637.80976.50742.30668.50756.286,231.005,643.206,444.305,773.707,062.80
1994618.30886.80584.00568.20664.336,895.336,261.507,331.106,357.707,631.00
1995719.00816.50716.40502.80688.687,584.006,980.508,147.607,074.108,133.80
1996511.10663.90646.30349.40542.688,126.687,491.608,811.507,720.408,483.20
1997565.40712.60688.20514.90620.288,746.958,057.009,524.108,408.608,998.10
1998750.30914.80947.10407.90755.039,501.988,807.3010,438.909,355.709,406.00
1999507.60469.10645.30687.60577.4010,079.389,314.9010,908.0010,001.0010,093.60
Hoja3
DepartamentoJuninLatitud11 31'
ProvinciaYauliLongituud75 54'
DistritoLa OroyaAltitud3160msnm.
AoEneFebMarAbrMayJunJulAgoSepOctNovDicTOTAL
1985149.7133.4106.166.017.636.713.48.050.947.286.7174.1889.8
1986179.4193.0192.1153.335.30.625.457.272.351.740.974.71075.9
1987185.6126.685.125.937.222.750.229.455.878.2192.4194.81083.9
1988198.9139.996.4107.512.40.02.20.045.2102.1133.1164.91002.6
198994.589.388.743.36.94.21.539.141.455.1116.455.3635.7
1990162.038.633.533.533.031.911.939.245.4116.099.768.9713.6
199150.249.599.829.127.129.02.40.069.948.852.949.1507.8
199245.643.931.125.918.930.87.98.752.564.189.366.6485.3
199379.472.983.534.610.732.613.317.335.179.4125.684.1668.5
199488.1100.864.680.119.81.60.08.434.242.538.289.7568.0
1995106.296.762.848.37.10.010.52.819.630.241.976.7502.8
199652.968.251.352.68.60.00.05.49.826.735.738.2349.4
199775.6104.045.526.68.00.71.526.262.644.048.871.4514.9
199895.770.348.628.97.30.50.00.02.047.557.849.3407.9
1999112.9125.690.261.810.73.718.44.942.644.182.889.8687.5
Media111.896.878.654.517.413.010.616.442.658.582.889.8672.9
Mx198.9193.0192.1153.337.236.750.257.272.3116.0192.4194.81083.9
Mn45.638.631.125.96.90.00.00.02.026.735.738.2349.4
D.Est51.242.139.836.010.915.213.417.720.325.344.848.3237.9
CORREGIDOS DE SALTO
AOPPN1N2AOPPPP CORREGIDO
1985149.7149.7162.01.0ANALISIS DE SALTO1985149.785.44
1985133.4133.438.62.01985133.476.24
1985106.1106.133.53.0ANALISIS DE SALTO1er. Periodo:N1 =60P1 =78.13S1 =60.96N2 - 1 = 1241985106.160.83
198566.066.033.54.02do. Periodo:N2 =120P2 =45.05S2 =34.41N1 - 1 =54198566.038.20
198517.617.633.05.0198517.610.88
198536.736.731.96.0PRUEBA DE MEDIASAlfa =0.05G.L. =178Sp =44.98Sd =7.11Tc =4.65198536.721.66
198513.413.411.97.0Tt =1.96198513.48.51
19858.08.039.28.019858.05.46
198550.950.945.49.0Como /Tc/198550.929.68
198547.247.2116.010.0198547.227.59
198586.786.799.711.0DESVIACIN ESTANDAR198586.749.88
1985174.1174.168.912.0VARIANZA N13715.70965819211985174.199.21
1986179.4179.450.213.0VARIANZA N21183.75511974791986179.4102.21
1986193.0193.049.514.01986193.0109.88
1986192.1192.199.815.01986192.1109.37
1986153.3153.329.116.01986153.387.47
198635.335.327.117.0198635.320.87
19860.60.629.018.019860.61.29
198625.425.42.419.0198625.415.28
198657.257.20.020.0198657.233.23
198672.372.369.921.0198672.341.76
198651.751.748.822.0198651.730.13
198640.940.952.923.0198640.924.03
198674.774.749.124.0198674.743.11
1987185.6185.645.625.01987185.6105.71
1987126.6126.643.926.01987126.672.40
198785.185.131.127.0198785.148.98
198725.925.925.928.0198725.915.57
198737.237.218.929.0198737.221.94
198722.722.730.830.0198722.713.76
198750.250.27.931.0198750.229.28
198729.429.48.732.0198729.417.54
198755.855.852.533.0198755.832.44
198778.278.264.134.0198778.245.09
1987192.4192.489.335.01987192.4109.54
1987194.8194.866.636.01987194.8110.90
1988198.9198.979.437.01988198.9113.21
1988139.9139.972.938.01988139.979.91
198896.496.483.539.0198896.455.36
1988107.5107.534.640.01988107.561.62
198812.412.410.741.0198812.47.95
19880.00.032.642.019880.00.95
19882.22.213.343.019882.22.19
19880.00.017.344.019880.00.95
198845.245.235.145.0198845.226.46
1988102.1102.179.446.01988102.158.58
1988133.1133.1125.647.01988133.176.07
1988164.9164.984.148.01988164.994.02
198994.594.588.149.0198994.554.29
198989.389.3100.850.0198989.351.35
198988.788.764.651.0198988.751.01
198943.343.380.152.0198943.325.39
19896.96.919.853.019896.94.84
19894.24.21.654.019894.23.32
19891.51.50.055.019891.51.79
198939.139.18.456.0198939.123.02
198941.441.434.257.0198941.424.32
198955.155.142.558.0198955.132.05
1989116.4116.438.259.01989116.466.65
198955.355.389.760.0198955.332.16
1990162.078.1106.261.01990162.0162.0
199038.661.096.762.0199038.638.6
199033.562.863.0199033.533.5
199033.548.364.0199033.533.5
199033.07.165.0199033.033.0
199031.90.066.0199031.931.9
199011.910.567.0199011.911.9
199039.22.868.0199039.239.2
199045.419.669.0199045.445.4
1990116.030.270.01990116.0116.0
199099.741.971.0199099.799.7
199068.976.772.0199068.968.9
199150.252.973.0199150.250.2
199149.568.274.0199149.549.5
199199.851.375.0199199.899.8
199129.152.676.0199129.129.1
199127.18.677.0199127.127.1
199129.00.078.0199129.029.0
19912.40.079.019912.42.4
19910.05.480.019910.00.0
199169.99.881.0199169.969.9
199148.826.782.0199148.848.8
199152.935.783.0199152.952.9
199149.138.284.0199149.149.1
199245.675.685.0199245.645.6
199243.9104.086.0199243.943.9
199231.145.587.0199231.131.1
199225.926.688.0199225.925.9
199218.98.089.0199218.918.9
199230.80.790.0199230.830.8
19927.91.591.019927.97.9
19928.726.292.019928.78.7
199252.562.693.0199252.552.5
199264.144.094.0199264.164.1
199289.348.895.0199289.389.3
199266.671.496.0199266.666.6
199379.495.797.0199379.479.4
199372.970.398.0199372.972.9
199383.548.699.0199383.583.5
199334.628.9100.0199334.634.6
199310.77.3101.0199310.710.7
199332.60.5102.0199332.632.6
199313.30.0103.0199313.313.3
199317.30.0104.0199317.317.3
199335.12.0105.0199335.135.1
199379.447.5106.0199379.479.4
1993125.657.8107.01993125.6125.6
199384.149.3108.0199384.184.1
199488.1112.9109.0199488.188.1
1994100.8125.6110.01994100.8100.8
199464.690.2111.0199464.664.6
199480.161.8112.0199480.180.1
199419.810.7113.0199419.819.8
19941.63.7114.019941.61.6
19940.018.4115.019940.00.0
19948.44.9116.019948.48.4
199434.242.6117.0199434.234.2
199442.544.1118.0199442.542.5
199438.282.8119.0199438.238.2
199489.789.8120.0199489.789.7
1995106.245.0121.01995106.2106.2
199596.734.4122.0199596.796.7
199562.8123.0199562.862.8
199548.3124.0199548.348.3
19957.1125.019957.17.1
19950.0126.019950.00.0
199510.5127.0199510.510.5
19952.8128.019952.82.8
199519.6129.0199519.619.6
199530.2130.0199530.230.2
199541.9131.0199541.941.9
199576.7132.0199576.776.7
199652.9133.0199652.952.9
199668.2134.0199668.268.2
199651.3135.0199651.351.3
199652.6136.0199652.652.6
19968.6137.019968.68.6
19960.0138.019960.00.0
19960.0139.019960.00.0
19965.4140.019965.45.4
19969.8141.019969.89.8
199626.7142.0199626.726.7
199635.7143.0199635.735.7
199638.2144.0199638.238.2
199775.6145.0199775.675.6
1997104.0146.01997104.0104.0
199745.5147.0199745.545.5
199726.6148.0199726.626.6
19978.0149.019978.08.0
19970.7150.019970.70.7
19971.5151.019971.51.5
199726.2152.0199726.226.2
199762.6153.0199762.662.6
199744.0154.0199744.044.0
199748.8155.0199748.848.8
199771.4156.0199771.471.4
199895.7157.0199895.795.7
199870.3158.0199870.370.3
199848.6159.0199848.648.6
199828.9160.0199828.928.9
19987.3161.019987.37.3
19980.5162.019980.50.5
19980.0163.019980.00.0
19980.0164.019980.00.0
19982.0165.019982.02.0
199847.5166.0199847.547.5
199857.8167.0199857.857.8
199849.3168.0199849.349.3
1999112.9169.01999112.9112.9
1999125.6170.01999125.6125.6
199990.2171.0199990.290.2
199961.8172.0199961.861.8
199910.7173.0199910.710.7
19993.7174.019993.73.7
199918.4175.0199918.418.4
19994.9176.019994.94.9
199942.6177.0199942.642.6
199944.1178.0199944.144.1
199982.8179.0199982.882.8
199989.8180.0199989.889.8
HISTOGRAMA OROYA
149.7
133.4
106.1
66
17.6
36.7
13.4
8
50.9
47.2
86.7
174.1
179.4
193
192.1
153.3
35.3
0.6
25.4
57.2
72.3
51.7
40.9
74.7
185.6
126.6
85.1
25.9
37.2
22.7
50.2
29.4
55.8
78.2
192.4
194.8
198.9
139.9
96.4
107.5
12.4
0
2.2
0
45.2
102.1
133.1
164.9
94.5
89.3
88.7
43.3
6.9
4.2
1.5
39.1
41.4
55.1
116.4
55.3
162
38.6
33.5
33.5
33
31.9
11.9
39.2
45.4
116
99.7
68.9
50.2
49.5
99.8
29.1
27.1
29
2.4
0
69.9
48.8
52.9
49.1
45.6
43.9
31.1
25.9
18.9
30.8
7.9
8.7
52.5
64.1
89.3
66.6
79.4
72.9
83.5
34.6
10.7
32.6
13.3
17.3
35.1
79.4
125.6
84.1
88.1
100.8
64.6
80.1
19.8
1.6
0
8.4
34.2
42.5
38.2
89.7
106.2
96.7
62.8
48.3
7.1
0
10.5
2.8
19.6
30.2
41.9
76.7
52.9
68.2
51.3
52.6
8.6
0
0
5.4
9.8
26.7
35.7
38.2
75.6
104
45.5
26.6
8
0.7
1.5
26.2
62.6
44
48.8
71.4
95.7
70.3
48.6
28.9
7.3
0.5
0
0
2
47.5
57.8
49.3
112.9
125.6
90.2
61.8
10.7
3.7
18.4
4.9
42.6
44.1
82.8
89.8
OROYA
AO
PP (mm)
HISTOGRAMA DE PRECIPITACION TOTAL MENSUAL- LA OROYA
DOBLE MASA
889.8
1965.8
3049.5
4052
4687.7
5401.3
5909.1
6394.3
7062.8
7631
8133.8
8483.2
8998.1
9406
10093.6
LA OROYA
EST. QUIULLA
EST. LA OROYA
CDM - LA OROYA
_1127937206.unknown
_1127936864.unknown
_1127936907.unknown
_1127936600.unknown
_1127936197.unknown
_1127936449.unknown
_1127936540.unknown
_1127936206.unknown
_1127936173.unknown
_1127936185.unknown
_1126755830.unknown
_1127890309.xlsHoja1
ESTACION LA OROYA
Departamento: JuninLatitud:1131'
Provincia: YauliLongitud:7554'
Distrito: La OroyaAltitud:3160 msnm
AoEneFebMarAbrMayJunJulAgoSepOctNovDicTotal
1985149.7133.4106.166.017.636.713.48.050.947.286.7174.1889.8
1986179.4193.0192.1153.335.30.625.457.272.351.740.974.71075.9
1987185.6126.685.125.937.222.750.229.455.878.2192.4194.81083.9
1988198.9139.996.4107.512.40.02.20.045.2102.1133.1164.91002.6
198994.589.388.743.36.94.21.539.141.455.1116.455.3635.7
1990162.038.633.533.533.031.911.939.245.4116.099.768.9713.6
199150.249.599.829.127.129.02.40.069.948.852.949.1507.8
199245.643.931.125.918.930.87.98.752.564.189.366.6485.3
199379.472.983.534.610.732.613.317.335.179.4125.684.1668.5
199488.1100.864.680.119.81.60.08.434.242.538.289.7568.0
1995106.296.762.848.37.10.010.52.819.630.241.976.7502.8
199652.968.251.352.68.60.00.05.49.826.735.738.2349.4
199775.6104.045.526.68.00.71.526.262.644.048.871.4514.9
199895.770.348.628.97.30.50.00.02.047.557.849.3407.9
1999112.9125.690.261.810.73.718.44.942.644.182.889.8687.5
Media111.896.878.654.517.413.010.616.442.658.582.889.8672.9
Max198.9193.0192.1153.337.236.750.257.272.3116.0192.4194.81083.9
Min45.638.631.125.96.90.00.00.02.026.735.738.2349.4
D. Est.51.242.139.836.010.915.213.417.720.325.344.848.3237.9
Hoja2
AOVALORES DE PRECIPITACION TOTAL ANUALPROMEDIOPROM. ACUMULADOPRECIPITACION TOTAL ANUAL (mm)
QUIULLACASARACRALA CIMALA OROYAQUIULLACASARACRALA CIMALA OROYA
1985675.40637.70452.00889.80663.73663.73675.40637.70452.00889.80
1986673.60736.50558.501,076.00761.151,424.881,349.001,374.201,010.501,965.80
1987542.30590.00500.801,083.70679.202,104.081,891.301,964.201,511.303,049.50
1988651.30588.30606.701,002.50712.202,816.282,542.602,552.502,118.004,052.00
1989598.80700.60607.80635.70635.733,452.003,141.403,253.102,725.804,687.70
1990459.10639.90714.80713.60631.854,083.853,600.503,893.003,440.605,401.30
1991602.10729.60722.00507.80640.384,724.234,202.604,622.604,162.605,909.10
1992802.80845.20868.80485.20750.505,474.735,005.405,467.805,031.406,394.30
1993637.80976.50742.30668.50756.286,231.005,643.206,444.305,773.707,062.80
1994618.30886.80584.00568.20664.336,895.336,261.507,331.106,357.707,631.00
1995719.00816.50716.40502.80688.687,584.006,980.508,147.607,074.108,133.80
1996511.10663.90646.30349.40542.688,126.687,491.608,811.507,720.408,483.20
1997565.40712.60688.20514.90620.288,746.958,057.009,524.108,408.608,998.10
1998750.30914.80947.10407.90755.039,501.988,807.3010,438.909,355.709,406.00
1999507.60469.10645.30687.60577.4010,079.389,314.9010,908.0010,001.0010,093.60
Hoja3
AoEneFebMarAbrMayJunJulAgoSepOctNovDic
1985149.7133.4106.166.017.636.713.48.050.947.286.7174.1
1986179.4193.0192.1153.335.30.625.457.272.351.740.974.7
1987185.6126.685.125.937.222.750.229.455.878.2192.4194.8
1988198.9139.996.4107.512.40.02.20.045.2102.1133.1164.9
198994.589.388.743.36.94.21.539.141.455.1116.455.3
1990162.038.633.533.533.031.911.939.245.4116.099.768.9
199150.249.599.829.127.129.02.40.069.948.852.949.1
199245.643.931.125.918.930.87.98.752.564.189.366.6
199379.472.983.534.610.732.613.317.335.179.4125.684.1
199488.1100.864.680.119.81.60.08.434.242.538.289.7
1995106.296.762.848.37.10.010.52.819.630.241.976.7
199652.968.251.352.68.60.00.05.49.826.735.738.2
199775.6104.045.526.68.00.71.526.262.644.048.871.4
199895.770.348.628.97.30.50.00.02.047.557.849.3
1999112.9125.690.261.810.73.718.44.942.644.182.889.8
Media111.896.878.654.517.413.010.616.442.658.582.889.8
AOPPN1N2
1985149.7149.739.1ANALISIS DE SALTO
1985133.4133.441.4
1985106.1106.155.1ANALISIS DE SALTO1er. Periodo:N1 =55P1 =79.60S1 =62.90N2 - 1 = 124
198566.066.0116.42do. Periodo:N2 =125P2 =45.70S2 =34.30N1 - 1 =54
198517.617.655.3
198536.736.7162.0PRUEBA DE MEDIASAlfa =0.05G.L. =178Sp =44.94Sd =7.27Tc =4.66
198513.413.438.6Tt =1.96
19858.08.033.5
198550.950.933.5Como /Tc/
198547.247.233.0
198586.786.731.9
1985174.1174.111.9
1986179.4179.439.2
1986193.0193.045.4
1986192.1192.1116.0
1986153.3153.399.7
198635.335.368.9
19860.60.650.2
198625.425.449.5
198657.257.299.8
198672.372.329.1
198651.751.727.1
198640.940.929.0
198674.774.72.4
1987185.6185.60.0
1987126.6126.669.9
198785.185.148.8
198725.925.952.9
198737.237.249.1
198722.722.745.6
198750.250.243.9
198729.429.431.1
198755.855.825.9
198778.278.218.9
1987192.4192.430.8
1987194.8194.87.9
1988198.9198.98.7
1988139.9139.952.5
198896.496.464.1
1988107.5107.589.3
198812.412.466.6
19880.00.079.4
19882.22.272.9
19880.00.083.5
198845.245.234.6
1988102.1102.110.7
1988133.1133.132.6
1988164.9164.913.3
198994.594.517.3
198989.389.335.1
198988.788.779.4
198943.343.3125.6
19896.96.984.1
19894.24.288.1
19891.51.5100.8
198939.179.664.6
198941.462.980.1
198955.119.8
1989116.41.6
198955.30.0
1990162.08.4
199038.634.2
199033.542.5
199033.538.2
199033.089.7
199031.9106.2
199011.996.7
199039.262.8
199045.448.3
1990116.07.1
199099.70.0
199068.910.5
199150.22.8
199149.519.6
199199.830.2
199129.141.9
199127.176.7
199129.052.9
19912.468.2
19910.051.3
199169.952.6
199148.88.6
199152.90.0
199149.10.0
199245.65.4
199243.99.8
199231.126.7
199225.935.7
199218.938.2
199230.875.6
19927.9104.0
19928.745.5
199252.526.6
199264.18.0
199289.30.7
199266.61.5
199379.426.2
199372.962.6
199383.544.0
199334.648.8
199310.771.4
199332.695.7
199313.370.3
199317.348.6
199335.128.9
199379.47.3
1993125.60.5
199384.10.0
199488.10.0
1994100.82.0
199464.647.5
199480.157.8
199419.849.3
19941.6112.9
19940.0125.6
19948.490.2
199434.261.8
199442.510.7
199438.23.7
199489.718.4
1995106.24.9
199596.742.6
199562.844.1
199548.382.8
19957.189.8
19950.045.7
199510.534.3
19952.8
199519.6
199530.2
199541.9
199576.7
199652.9
199668.2
199651.3
199652.6
19968.6
19960.0
19960.0
19965.4
19969.8
199626.7
199635.7
199638.2
199775.6
1997104.0
199745.5
199726.6
19978.0
19970.7
19971.5
199726.2
199762.6
199744.0
199748.8
199771.4
199895.7
199870.3
199848.6
199828.9
19987.3
19980.5
19980.0
19980.0
19982.0
199847.5
199857.8
199849.3
1999112.9
1999125.6
199990.2
199961.8
199910.7
19993.7
199918.4
19994.9
199942.6
199944.1
199982.8
199989.8
HISTOGRAMA OROYA
149.7
133.4
106.1
66
17.6
36.7
13.4
8
50.9
47.2
86.7
174.1
179.4
193
192.1
153.3
35.3
0.6
25.4
57.2
72.3
51.7
40.9
74.7
185.6
126.6
85.1
25.9
37.2
22.7
50.2
29.4
55.8
78.2
192.4
194.8
198.9
139.9
96.4
107.5
12.4
0
2.2
0
45.2
102.1
133.1
164.9
94.5
89.3
88.7
43.3
6.9
4.2
1.5
39.1
41.4
55.1
116.4
55.3
162
38.6
33.5
33.5
33
31.9
11.9
39.2
45.4
116
99.7
68.9
50.2
49.5
99.8
29.1
27.1
29
2.4
0
69.9
48.8
52.9
49.1
45.6
43.9
31.1
25.9
18.9
30.8
7.9
8.7
52.5
64.1
89.3
66.6
79.4
72.9
83.5
34.6
10.7
32.6
13.3
17.3
35.1
79.4
125.6
84.1
88.1
100.8
64.6
80.1
19.8
1.6
0
8.4
34.2
42.5
38.2
89.7
106.2
96.7
62.8
48.3
7.1
0
10.5
2.8
19.6
30.2
41.9
76.7
52.9
68.2
51.3
52.6
8.6
0
0
5.4
9.8
26.7
35.7
38.2
75.6
104
45.5
26.6
8
0.7
1.5
26.2
62.6
44
48.8
71.4
95.7
70.3
48.6
28.9
7.3
0.5
0
0
2
47.5
57.8
49.3
112.9
125.6
90.2
61.8
10.7
3.7
18.4
4.9
42.6
44.1
82.8
89.8
OROYA
AO
PP (mm)
HISTOGRAMA - LA OROYA
DOBLE MASA
889.8
1965.8
3049.5
4052
4687.7
5401.3
5909.1
6394.3
7062.8
7631
8133.8
8483.2
8998.1
9406
10093.6
LA OROYA
EST. QUIULLA
EST. LA OROYA
CDM - LA OROYA
_1126756367.unknown
_1126755064.unknown
_1126730617.unknown
