Analisis Inf. Hidrometeorologica Chonchon
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Transcript of Analisis Inf. Hidrometeorologica Chonchon
TABLA Nº 01: ESTACION HIDROMETEREOLOGICA DE LA CUENCA DEL RIO CAJAMARQUINO
ESTACION: WEBERBAWER LATITUD : 07º 10´ Sur DEPATAMENTO : CAJAMARCAINFORMACION: PRECIPITACION LONGITUD : 78º 30´ PROVINCIA : CAJAMARCARED HIDROMÉTRICA: SENAMHI-CAJAM. ALTITUD : 2536 m.s.n.m. DISTRITO : CAJAMARCA
AÑO ENERO FEBRERO MARZO ABRIL MAYO JUNIO JULIO AGOSTO SETIEMBRE OCTUBRE NOVIEMBRE DICIEMBRE TOTAL ACUMULADO
1963 35.8 85.1 70.3 52.1 13.3 3.9 10.2 32.6 42.9 79.7 47.0 172.1 645.0 645.01964 30.3 50.4 357.3 56.2 12.3 6.6 1.6 23.8 12.6 52.6 58.8 115.2 777.7 1422.71965 121.1 81.4 121.1 41.7 12.1 11.1 2.9 28.0 13.4 98.0 40.7 34.4 605.9 2028.61966 62.7 45.9 54.5 41.9 44.0 0.0 7.5 0.7 13.1 76.8 62.7 18.7 428.5 2457.11967 120.9 139.5 109.1 32.3 44.1 3.9 28.4 5.8 24.9 101.0 17.8 36.7 664.4 3121.51968 58.0 81.0 67.7 26.2 14.9 1.6 1.6 16.2 50.0 66.4 54.6 70.8 509.0 3630.51969 42.0 73.7 83.5 85.7 1.5 19.6 0.3 7.8 18.4 73.8 106.4 162.0 674.7 4305.21970 71.0 41.8 79.9 54.5 33.8 19.9 3.2 2.5 18.2 103.0 51.5 54.1 533.4 4838.61971 58.4 97.8 275.7 54.7 8.0 12.2 17.6 17.2 28.1 89.8 45.8 66.5 771.8 5610.41972 55.5 67.6 11.8 76.2 18.1 4.4 3.4 20.6 31.9 31.4 66.5 50.2 437.6 6048.01973 95.3 70.7 91.6 98.4 27.9 28.7 8.4 19.3 87.2 5.5 68.2 72.3 673.5 6721.51974 76.8 128.2 95.2 58.5 4.6 17.3 6.5 26.4 39.7 71.0 55.1 84.6 663.9 7385.41975 137.6 181.8 238.5 70.7 66.8 10.0 7.2 19.3 45.1 80.2 65.1 0.9 923.2 8308.61976 130.4 62.9 81.3 55.2 43.0 23.0 0.1 4.4 12.3 32.2 71.6 44.4 560.8 8869.41977 129.9 146.4 141.9 42.6 25.5 8.0 7.5 0.1 16.1 53.4 54.8 68.2 694.4 9563.81978 12.7 34.4 48.8 37.0 65.6 3.9 4.4 3.8 25.0 24.4 54.0 44.8 358.8 9922.61979 84.1 81.6 159.7 37.1 16.3 1.8 7.5 15.7 33.6 24.4 26.3 46.6 534.7 10457.31980 34.9 42.4 65.0 29.3 6.9 15.1 3.2 6.7 2.3 130.4 111.0 106.7 553.9 11011.21981 78.2 186.5 105.7 33.7 14.7 6.6 7.2 12.7 22.0 111.9 45.6 111.3 736.1 11747.31982 71.8 102.9 75.7 88.7 38.2 7.8 2.1 6.6 43.9 124.8 67.3 87.4 717.2 12464.51983 116.6 75.7 152.8 105.7 31.1 10.1 9.6 2.7 19.2 86.9 28.1 118.4 756.9 13221.41984 24.7 233.6 123.8 80.0 69.5 25.1 23.4 18.7 36.7 68.6 97.6 104.1 905.8 14127.21985 24.6 42.4 37.2 41.9 53.0 0.4 4.8 18.3 37.3 50.0 23.9 40.3 374.1 14501.31986 84.4 47.7 96.8 120.2 16.0 0.6 1.2 14.6 1.3 43.6 66.2 51.8 544.4 15045.71987 98.0 95.2 39.2 52.2 11.2 4.0 10.8 12.3 39.5 37.2 74.3 61.5 535.4 15581.1
1988 109.7 105.5 44.8 95.6 10.6 5.4 0.0 0.4 32.9 69.4 65.2 63.4 602.9 16184.01989 87.0 158.8 113.5 85.4 18.8 16.7 3.2 5.9 53.5 106.6 47.1 2.7 699.2 16883.21990 101.0 95.3 101.8 62.0 28.0 10.7 6.8 10.3 28.7 73.3 61.2 64.2 643.3 17526.51991 43.8 90.0 133.7 55.2 17.9 0.7 0.4 0.3 10.2 28.2 55.1 71.9 507.4 18033.91992 36.5 90.0 96.0 93.8 61.1 3.3 3.9 15.1 27.0 20.7 48.3 146.3 642.0 18675.9
TOTAL 2233.7 2836.2 3273.9 1864.7 828.8 282.4 194.9 368.8 867.0 2015.2 1737.8 2172.5 18675.9X 74.5 94.5 109.1 62.2 27.6 9.4 6.5 12.3 28.9 67.2 57.9 72.4 622.5S 35.5 47.5 71.3 24.8 19.6 7.8 6.5 8.9 17.3 32.4 21.1 41.6 134.9
1262.2 2255.5 5078.5 616.7 385.4 61.3 42.1 78.7 298.6 1049.0 444.9 1727.8 18195.5Cv 0.48 0.50 0.65 0.40 0.71 0.83 1.00 0.72 0.60 0.48 0.36 0.57 0.22
0.10 1.13 1.82 0.54 0.79 0.82 1.86 0.38 1.08 0.04 0.58 0.62 0.13
1.88 3.83 6.52 2.27 2.45 2.69 6.35 2.23 5.18 2.13 3.70 3.02 2.84
Donde: X: MediaS: Desviación Estandar
VarianzaCv: Coeficiente de Variación
Coeficiente de SesgoCoeficiente de Kurtosis
S2
g1
g2
S2:
g1:g2:
1494.3 89.1 1507.8 101.1 205.3 30.4 13.7 412.4 196.0 156.91949.8 1948.3 61588.3 35.5 234.9 7.9 24.0 132.4 265.7 212.42175.6 172.7 143.3 418.5 241.1 2.8 12.9 246.7 240.3 950.3138.2 2365.8 2984.4 410.3 268.1 88.6 1.0 134.4 249.7 92.7
2157.0 2021.4 0.0 891.4 271.4 30.4 479.8 42.2 16.0 1144.2270.8 183.3 1716.4 1292.9 162.0 61.0 24.0 15.3 445.2 0.6
1053.4 434.3 656.9 554.3 682.6 103.8 38.4 20.2 110.3 43.911.9 2781.5 854.4 58.6 38.1 110.0 10.9 95.9 114.5 1283.6
257.8 10.6 27745.6 55.6 385.2 7.8 123.3 24.1 0.6 512.0359.4 725.8 9473.1 197.2 90.8 25.1 9.6 69.0 9.0 1279.7434.4 568.3 307.3 1313.6 0.1 372.0 3.6 49.1 3400.0 3803.6
5.5 1133.0 194.0 13.4 530.2 62.2 0.0 199.0 116.6 14.63987.1 7614.3 16736.6 73.0 1534.6 0.3 0.5 49.1 262.4 169.73129.7 1001.1 774.5 48.4 236.3 184.6 40.9 62.3 275.6 1223.13074.0 2689.5 1073.9 382.5 4.5 2.0 1.0 148.7 163.8 189.73813.9 3616.8 3639.7 632.9 1442.0 30.4 4.4 72.1 15.2 1829.6
93.0 167.4 2557.3 627.8 128.3 58.3 1.0 11.6 22.1 1829.61564.7 2718.6 1947.5 1079.6 429.6 32.3 10.9 31.3 707.6 3997.6
14.0 8456.6 11.8 809.8 167.1 7.9 0.5 0.2 47.6 2000.57.1 69.9 1117.6 704.5 111.8 2.6 19.3 32.4 225.0 3320.8
1776.1 354.9 1907.1 1896.0 12.1 0.5 9.6 92.0 94.1 389.12475.7 19337.7 215.2 318.4 1753.4 246.1 285.7 41.0 60.8 2.02485.7 2718.6 5173.9 410.3 643.8 81.2 2.9 36.1 70.6 294.9
98.9 2194.0 152.0 3369.0 135.2 77.7 28.1 5.3 761.8 555.7554.3 0.4 4890.2 99.1 269.8 29.3 18.5 0.0 112.4 898.4
1242.1 120.1 4138.3 1118.5 289.9 16.1 42.2 141.5 16.0 5.0157.3 4129.3 19.1 540.3 77.9 53.1 10.9 40.9 605.1 1554.5704.5 0.6 53.7 0.0 0.1 1.7 0.1 4.0 0.0 37.5939.8 20.6 603.7 48.4 94.6 75.9 37.2 143.8 349.7 1518.9
1440.7 20.6 172.4 1001.3 1120.5 37.4 6.7 7.9 3.6 2159.8
37866.8 67665.4 152356.1 18502.2 11561.1 1839.4 1261.5 2360.7 8957.3 31470.9
-1.3 -0.01 -0.2 -0.1 -0.4 -0.3 0.2 12.0 0.5 0.1-1.9 -0.80 42.2 0.0 -0.5 0.0 -0.4 2.2 -0.8 -0.12.3 -0.02 0.0 -0.6 -0.5 0.0 -0.2 5.6 -0.7 0.90.0 -1.07 -0.5 -0.5 0.6 -1.7 0.0 -2.2 -0.8 0.02.2 0.85 0.0 -1.7 0.6 -0.3 38.5 -0.4 0.0 1.1-0.1 -0.02 -0.2 -3.0 -0.3 -1.0 -0.4 0.1 1.8 0.0-0.8 -0.08 0.0 0.9 -2.4 2.2 -0.9 -0.1 -0.2 0.00.0 -1.37 -0.1 0.0 0.0 2.4 -0.1 -1.3 -0.2 1.4-0.1 0.00 12.8 0.0 -1.0 0.0 5.0 0.2 0.0 0.3-0.2 -0.18 -2.5 0.2 -0.1 -0.3 -0.1 0.8 0.0 -1.30.2 -0.13 0.0 3.1 0.0 14.9 0.0 0.5 38.4 -6.90.0 0.36 0.0 0.0 -1.6 1.0 0.0 4.0 0.2 0.05.6 6.20 6.0 0.0 7.9 0.0 0.0 0.5 0.8 0.13.9 -0.30 -0.1 0.0 0.5 5.2 -1.0 -0.7 -0.9 -1.33.8 1.30 0.1 -0.5 0.0 0.0 0.0 -2.6 -0.4 -0.1-5.3 -2.03 -0.6 -1.0 7.2 -0.3 0.0 -0.9 0.0 -2.30.0 -0.02 0.4 -1.0 -0.2 -0.9 0.0 0.1 0.0 -2.3-1.4 -1.32 -0.2 -2.3 -1.2 0.4 -0.1 -0.3 -3.6 7.40.0 7.26 0.0 -1.5 -0.3 0.0 0.0 0.0 -0.1 2.60.0 0.01 -0.1 1.2 0.2 0.0 -0.3 -0.3 0.7 5.61.7 -0.06 0.2 5.4 0.0 0.0 0.1 -1.3 -0.2 0.2-2.7 25.10 0.0 0.4 9.7 8.0 17.7 0.4 0.1 0.0-2.8 -1.32 -1.0 -0.5 2.2 -1.5 0.0 0.3 0.1 -0.10.0 -0.96 0.0 12.8 -0.2 -1.4 -0.5 0.0 -4.1 -0.40.3 0.00 -0.9 -0.1 -0.6 -0.3 0.3 0.0 0.2 -0.81.0 0.01 -0.7 2.4 -0.7 -0.1 -1.0 -2.4 0.0 0.00.0 2.48 0.0 0.8 -0.1 0.8 -0.1 -0.4 2.9 1.80.4 0.00 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0-0.6 0.00 0.0 0.0 -0.1 -1.4 -0.8 -2.5 -1.3 -1.7-1.2 0.00 0.0 2.1 5.0 -0.5 -0.1 0.0 0.0 -3.0
3.1 33.9 54.5 16.2 23.8 24.7 55.7 11.3 32.5 1.3
1.4 0.00 0.1 0.0 0.3 0.2 0.1 27.5 0.4 0.02.4 0.75 147.1 0.0 0.4 0.0 0.3 2.8 0.8 0.03.0 0.01 0.0 0.5 0.4 0.0 0.1 9.8 0.6 0.80.0 1.10 0.3 0.4 0.5 2.1 0.0 2.9 0.7 0.02.9 0.80 0.0 2.1 0.5 0.2 130.2 0.3 0.0 1.20.0 0.01 0.1 4.4 0.2 1.0 0.3 0.0 2.2 0.00.7 0.04 0.0 0.8 3.1 2.9 0.8 0.1 0.1 0.00.0 1.52 0.0 0.0 0.0 3.2 0.1 1.5 0.1 1.50.0 0.00 29.8 0.0 1.0 0.0 8.6 0.1 0.0 0.20.1 0.10 3.5 0.1 0.1 0.2 0.1 0.8 0.0 1.50.1 0.06 0.0 4.5 0.0 36.8 0.0 0.4 129.7 13.10.0 0.25 0.0 0.0 1.9 1.0 0.0 6.4 0.2 0.0
10.0 11.40 10.9 0.0 15.9 0.0 0.0 0.4 0.8 0.06.1 0.20 0.0 0.0 0.4 9.1 0.9 0.6 0.9 1.45.9 1.42 0.0 0.4 0.0 0.0 0.0 3.6 0.3 0.09.1 2.57 0.5 1.1 14.0 0.2 0.0 0.8 0.0 3.00.0 0.01 0.3 1.0 0.1 0.9 0.0 0.0 0.0 3.01.5 1.45 0.1 3.1 1.2 0.3 0.1 0.2 5.6 14.50.0 14.06 0.0 1.7 0.2 0.0 0.0 0.0 0.0 3.60.0 0.00 0.0 1.3 0.1 0.0 0.2 0.2 0.6 10.02.0 0.02 0.1 9.5 0.0 0.0 0.1 1.4 0.1 0.13.8 73.51 0.0 0.3 20.7 16.1 46.2 0.3 0.0 0.03.9 1.45 1.0 0.4 2.8 1.8 0.0 0.2 0.1 0.10.0 0.95 0.0 29.8 0.1 1.6 0.4 0.0 6.5 0.30.2 0.00 0.9 0.0 0.5 0.2 0.2 0.0 0.1 0.71.0 0.00 0.7 3.3 0.6 0.1 1.0 3.2 0.0 0.00.0 3.35 0.0 0.8 0.0 0.8 0.1 0.3 4.1 2.20.3 0.00 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00.6 0.00 0.0 0.0 0.1 1.5 0.8 3.3 1.4 2.1
1.3 0.00 0.0 2.6 8.5 0.4 0.0 0.0 0.0 4.2
56.5 115.0 195.7 68.2 73.4 80.6 190.6 67.0 155.4 63.9
119.4 9936.8 504.90.8 1830.4 24077.8
296.8 1445.3 276.522.8 2885.5 37647.5
1610.1 1275.7 1753.111.1 2.6 12889.0
2349.7 8025.2 2721.741.3 335.5 7944.1
147.1 35.0 22281.673.5 493.6 34199.0
105.5 0.0 2599.08.0 148.4 1711.5
51.5 5114.6 90402.6187.0 784.9 3810.6
9.8 17.8 5165.315.4 762.7 69553.3
1000.2 666.5 7717.62816.8 1175.3 4710.0151.9 1511.9 12898.287.9 224.5 8962.5
889.6 2114.5 18055.41574.0 1003.8 80242.11157.8 1031.5 61717.3
68.4 425.0 6104.2268.1 119.2 7591.652.9 81.3 385.3
117.2 4860.4 5878.310.7 67.5 431.48.0 0.3 13254.8
92.7 5458.7 379.1
13345.9 51834.5 545865.6
-0.1 13.8 0.00.0 1.1 1.5-0.5 -0.8 0.00.0 -2.2 -3.0-6.9 -0.6 0.00.0 0.0 -0.6
12.1 10.0 0.10.0 -0.1 -0.3-0.2 0.0 1.40.1 -0.2 -2.60.1 0.0 0.10.0 0.0 0.00.0 -5.1 11.10.3 -0.3 -0.10.0 0.0 0.20.0 -0.3 -7.5-3.4 -0.2 -0.315.9 0.6 -0.1-0.2 0.8 0.60.1 0.0 0.3-2.8 1.4 1.06.7 0.4 9.3-4.2 -0.5 -6.20.1 -0.1 -0.20.5 0.0 -0.30.0 0.0 0.0-0.1 -4.7 0.20.0 0.0 0.00.0 0.0 -0.6-0.1 5.6 0.0
17.3 18.7 3.9
0.1 33.1 0.00.0 1.1 1.80.4 0.7 0.00.0 2.8 4.3
13.1 0.5 0.00.0 0.0 0.5
27.9 21.6 0.00.0 0.0 0.20.1 0.0 1.50.0 0.1 3.50.1 0.0 0.00.0 0.0 0.00.0 8.8 24.70.2 0.2 0.00.0 0.0 0.10.0 0.2 14.65.1 0.1 0.2
40.1 0.5 0.10.1 0.8 0.50.0 0.0 0.24.0 1.5 1.0
12.5 0.3 19.46.8 0.4 11.50.0 0.1 0.10.4 0.0 0.20.0 0.0 0.00.1 7.9 0.10.0 0.0 0.00.0 0.0 0.5
0.0 10.0 0.0
111.0 90.6 85.1
TABLA Nº 02: ESTACION HIDROMETEREOLOGICA DE LA CUENCA DEL RIO CAJAMARQUINO
ESTACION: CHOTEN LATITUD : 07º 10´ Sur DEPATAMENTO : CAJAMARCAINFORMACION: PRECIPITACION LONGITUD : 78º 30´ PROVINCIA : CAJAMARCARED HIDROMÉTRICA: SENAMHI-CAJAM. ALTITUD : 2536 m.s.n.m. DISTRITO : CAJAMARCA
AÑO ENERO FEBRERO MARZO ABRIL MAYO JUNIO JULIO AGOSTO SETIEMBRE OCTUBRE NOVIEMBRE DICIEMBRE TOTAL ACUMULADO
1963 44.3 101.3 96.0 53.8 13.8 2.6 8.6 24.5 18.0 53.4 25.4 137.8 579.5 579.51964 39.5 64.1 171.9 57.5 13.4 5.0 3.9 17.9 13.1 37.1 48.2 99.4 571.0 1150.51965 118.6 97.3 78.2 44.1 13.4 8.9 4.6 21.1 17.4 64.5 74.0 44.9 587.0 1737.51966 67.4 0.0 108.6 42.2 21.9 0.0 6.0 2.6 23.3 49.5 44.3 35.8 401.6 2139.11967 114.7 0.0 162.0 34.9 21.9 0.7 15.7 4.6 19.0 63.2 37.8 46.1 520.6 2659.71968 63.6 0.0 174.4 30.2 13.0 0.0 3.3 8.5 26.9 43.6 36.4 65.7 465.6 3125.31969 50.6 0.0 73.1 75.8 8.9 15.1 2.7 5.3 19.7 47.8 58.6 118.0 475.6 3600.91970 74.1 0.0 91.1 51.9 18.8 15.3 4.1 3.3 34.2 64.3 43.8 56.1 457.0 4057.91971 63.9 119.8 111.7 52.0 10.9 8.3 10.7 8.9 5.0 56.9 68.8 63.2 580.1 4638.01972 61.5 86.6 102.8 68.5 14.0 1.2 4.2 10.1 33.7 23.8 45.7 53.9 506.0 5144.01973 93.9 90.0 146.3 85.6 17.0 23.4 6.5 9.7 25.5 9.1 42.1 66.5 615.6 5759.61974 67.6 153.5 81.3 45.4 9.3 11.4 5.1 10.3 8.4 38.1 27.4 65.8 523.6 6283.21975 137.8 171.0 152.3 55.4 31.0 15.8 10.5 11.4 17.3 51.5 69.8 44.3 768.1 7051.31976 131.8 118.6 95.8 57.6 29.1 14.6 5.4 3.4 32.0 30.2 27.5 63.5 609.5 7660.81977 49.9 266.6 63.2 48.9 4.2 3.2 4.5 0.2 11.9 40.5 55.2 57.3 605.6 8266.41978 34.1 54.8 77.2 53.6 18.6 1.7 8.3 3.6 10.4 17.7 33.4 54.1 367.5 8633.91979 25.4 36.8 181.6 55.0 20.1 1.1 5.7 10.7 12.4 4.6 22.5 18.7 394.6 9028.51980 39.5 19.7 80.6 61.1 3.6 7.3 5.8 3.9 2.9 93.3 35.7 22.7 376.1 9404.61981 47.4 70.3 135.2 21.3 10.7 9.8 6.8 19.0 10.9 38.9 43.0 70.0 483.3 9887.91982 63.2 100.6 107.5 28.8 36.0 6.5 7.3 3.6 48.7 70.9 59.8 114.0 646.9 10534.81983 31.3 67.0 0.0 64.4 26.9 6.5 17.9 4.0 20.1 62.1 37.4 120.0 457.6 10992.41984 55.2 260.0 50.4 40.8 24.2 14.4 7.2 36.5 82.8 83.8 64.3 719.6 11712.01985 64.4 79.0 53.5 30.1 1.6 2.6 9.6 49.5 19.7 23.3 99.4 432.7 12144.71986 109.8 82.7 135.1 2.9 32.5 3.0 20.3 74.1 122.9 583.3 12728.01987 150.9 167.3 13.4 15.0 16.0 0.0 21.8 60.2 444.6 13172.6
1988 169.7 177.3 56.4 121.6 12.6 5.5 5.0 0.7 18.9 60.8 98.3 60.4 787.2 13959.81989 123.7 217.4 282.6 120.1 20.5 8.3 3.3 3.9 36.0 74.3 17.3 1.9 909.3 14869.11990 103.5 105.6 122.1 45.3 33.7 20.4 3.0 10.5 9.9 91.9 92.9 78.8 717.6 15586.71991 42.8 96.5 164.5 74.6 10.8 6.2 0.3 1.3 7.5 47.9 43.5 90.8 586.7 16173.41992 99.0 55.5 87.2 131.7 31.5 2.1 5.1 11.4 17.6 17.8 49.0 120.4 628.3 16801.7
TOTAL 2339.1 2859.3 3003.6 1820.3 536.5 226.7 197.6 278.7 605.7 1376.5 1440.8 2116.9 16801.7X 78.0 95.3 115.5 62.8 19.2 8.1 6.6 9.3 20.2 45.9 48.0 70.6 560.1S 38.4 71.7 65.5 30.9 10.6 7.0 4.1 7.4 12.2 24.4 21.2 33.0 128.0
1472.1 5147.4 4289.5 954.3 112.4 49.1 17.1 55.1 147.7 596.8 449.1 1088.9 16387.5Cv 0.49 0.75 0.57 0.49 0.55 0.87 0.63 0.80 0.60 0.53 0.44 0.47 0.23
0.69 0.70 -0.33 0.75 -0.05 0.66 1.19 1.29 0.78 0.02 0.71 0.24 0.68
2.41 3.02 3.18 3.48 2.20 2.58 3.69 4.44 2.97 2.30 2.70 2.47 3.17
Donde: X: MediaS: Desviación Estandar
VarianzaCv: Coeficiente de Variación
Coeficiente de SesgoCoeficiente de Kurtosis
S2
g1
g2
S2:
g1:g2:
1133.6689 35.8801 381.150533 80.4423424 28.7372577 30.210727 4.05351111 231.3441 4.7961 56.5002778 511.966044 4520.769341479.9409 974.0641 3178.35746 27.7619976 33.1858291 9.5878699 7.21817778 74.1321 50.2681 77.1469444 0.03004444 831.5533441650.7969 3.9601 1393.01207 348.530273 33.1858291 0.64572704 3.94684444 139.4761 7.7841 346.580278 674.614044 658.606678
111.7249 9083.9961 47.9289941 423.082342 7.50368622 65.5521556 0.34417778 44.7561 9.6721 13.0802778 13.8880444 1208.489341349.0929 9083.9961 2160.10438 776.679239 7.50368622 54.7071556 83.0528444 21.9961 1.4161 299.866944 104.584711 598.454678
206.4969 9083.9961 3466.49207 1060.73751 37.9544005 65.5521556 10.8021778 0.6241 45.0241 5.21361111 135.179378 23.6520111749.1169 9083.9961 1799.71746 169.80786 105.282258 49.0500128 15.1061778 15.9201 0.2401 3.67361111 111.795378 2250.23734
14.9769 9083.9961 596.486686 118.134411 0.1301148 51.8914413 6.18351111 35.8801 196.2801 339.173611 17.8647111 209.188011197.9649 599.7601 14.6159172 115.970618 68.2394005 0.04144133 16.9195111 0.1521 230.7361 121.366944 431.531378 54.2186778271.2609 75.8641 161.876686 32.8447562 26.6329719 47.560727 5.69617778 0.6561 182.5201 487.673611 5.41337778 277.666678253.7649 28.1961 947.218994 521.256136 4.66868622 234.199298 0.00751111 0.1681 28.1961 1353.01361 35.1253778 16.5106778107.5369 3386.0761 1171.21899 301.680963 97.2336862 10.9135842 2.21017778 1.0201 139.0041 60.5802778 425.459378 22.6893444
3579.6289 5728.9761 1352.54207 54.3016528 140.168686 59.3450128 15.3141778 4.4521 8.3521 31.5469444 474.078044 689.7626782897.6689 542.4241 388.999763 26.7182045 98.7894005 42.2964413 1.40817778 34.6921 139.4761 245.966944 421.344044 49.8906778
787.9249 29340.2641 2737.70438 192.348205 223.822972 23.9750128 4.35417778 82.6281 68.7241 28.9802778 51.4567111 175.9160111924.5769 1641.0601 1468.65822 84.0699287 0.31440051 40.9142985 2.93551111 32.3761 95.8441 794.300278 213.939378 271.0413442763.6049 3423.4201 4366.15976 60.3568252 0.88225765 48.9500128 0.78617778 1.9881 60.6841 1704.31361 651.610711 2689.805341479.9409 5716.8721 1219.6213 2.7854459 242.135829 0.63429847 0.61884444 29.0521 298.9441 2248.34028 151.946711 2290.89868
934.5249 625.5001 387.181302 1719.6751 71.5836862 2.90215561 0.04551111 94.2841 86.3041 48.7669444 25.2673778 0.31734444218.1529 27.9841 64.3697633 1153.89062 283.561543 2.54858418 0.50884444 32.3761 812.8201 625.833611 138.611378 1886.74401
2178.0889 801.4561 13345.5813 2.66027348 59.8965434 2.54858418 127.991511 27.9841 0.0081 262.980278 112.926044 2443.98401518.4729 27122.7961 13345.5813 152.991308 468.258686 259.325013 61.0481778 4.3681 266.0161 1362.84028 1279.73138 39.2293444184.1449 266.0161 13345.5813 85.9137218 119.667972 42.2035842 15.8935111 0.0961 859.0761 685.566944 611.408044 831.553344
1013.1489 159.0121 13345.5813 5231.77855 367.132972 65.5521556 13.5915111 538.7041 295.4961 654.506944 679.818711 2739.126685318.7849 5182.5601 13345.5813 3939.94303 367.132972 65.5521556 46.4215111 32.6041 17.5561 2105.28028 687.838044 107.3986788414.3929 6722.3601 3495.53822 3461.09062 43.0429719 6.74144133 2.51751111 73.7881 1.6641 222.506944 2527.40804 103.2933442091.2329 14905.9681 27914.6982 3286.84751 1.79368622 0.04144133 10.8021778 29.0521 249.9561 807.506944 944.128044 4714.65334
651.7809 105.8841 43.2559172 305.164756 211.390829 151.37787 12.8641778 1.4641 105.8841 2117.53361 2013.61604 67.84267781236.9289 1.4161 2398.73899 139.973377 69.9015434 3.59644133 39.5221778 63.8401 161.0361 4.06694444 20.4907111 409.522678
442.2609 1584.8361 802.196686 4751.48751 152.257972 35.9571556 2.21017778 4.4521 6.7081 788.673611 0.94737778 2483.69334
44161.603 154422.587 128685.751 28628.9251 3371.99273 1474.37395 514.374667 1654.327 4430.487 17903.3817 13474.0187 32666.7097
-0.7 0.00 0.0 0.0 -0.1 -0.5 0.1 8.6 0.0 0.0 -1.2 8.5-1.0 -0.08 0.6 0.0 -0.2 -0.1 -0.3 1.6 -0.2 0.0 0.0 0.71.2 0.00 -0.2 -0.2 -0.2 0.0 -0.1 4.0 0.0 0.4 1.8 -0.50.0 -2.34 0.0 -0.3 0.0 -1.5 0.0 -0.7 0.0 0.0 0.0 -1.20.9 -2.34 0.4 -0.7 0.0 -1.2 10.7 -0.3 0.0 0.4 -0.1 -0.4-0.1 -2.34 0.7 -1.2 -0.2 -1.5 -0.5 0.0 0.2 0.0 -0.2 0.0-0.4 -2.34 -0.3 0.1 -0.9 1.0 -0.8 -0.2 0.0 0.0 0.1 3.00.0 -2.34 -0.1 0.0 0.0 1.1 -0.2 -0.5 1.5 0.4 0.0 -0.10.0 0.04 0.0 0.0 -0.5 0.0 1.0 0.0 -2.0 0.1 0.9 0.0-0.1 0.00 0.0 0.0 -0.1 -1.0 -0.2 0.0 1.4 -0.7 0.0 -0.10.1 0.00 0.1 0.4 0.0 10.4 0.0 0.0 0.1 -3.4 0.0 0.00.0 0.53 -0.1 -0.2 -0.8 0.1 0.0 0.0 -0.9 0.0 -0.9 0.03.8 1.17 0.2 0.0 1.4 1.3 0.8 0.0 0.0 0.0 1.1 -0.52.8 0.03 0.0 0.0 0.8 0.8 0.0 -0.5 0.9 -0.3 -0.9 0.0-0.4 13.61 -0.5 -0.1 -2.8 -0.3 -0.1 -1.8 -0.3 0.0 0.0 -0.1-1.5 -0.18 -0.2 0.0 0.0 -0.8 0.1 -0.4 -0.5 -1.5 -0.3 -0.1-2.6 -0.54 1.0 0.0 0.0 -1.0 0.0 0.0 -0.3 -4.8 -1.7 -3.9-1.0 -1.17 -0.2 0.0 -3.2 0.0 0.0 -0.4 -2.9 7.3 -0.2 -3.1-0.5 -0.04 0.0 -2.4 -0.5 0.0 0.0 2.2 -0.4 0.0 0.0 0.0-0.1 0.00 0.0 -1.3 4.0 0.0 0.0 -0.4 12.9 1.1 0.2 2.3-1.8 -0.06 -5.5 0.0 0.4 0.0 20.4 -0.4 0.0 0.3 -0.1 3.4-0.2 12.10 -5.5 -0.1 8.5 12.1 6.7 0.0 2.4 3.5 4.8 0.00.0 -0.01 -5.5 0.0 1.1 -0.8 -0.9 0.0 14.0 -1.2 -1.6 0.70.6 -0.01 -5.5 12.8 -5.9 -1.5 -0.7 30.5 -2.8 -1.1 1.9 4.06.9 1.01 -5.5 -8.4 -5.9 -1.5 4.5 0.5 0.0 -6.6 -1.9 0.0
13.7 1.49 -0.7 6.9 -0.2 -0.1 -0.1 -1.5 0.0 0.2 13.3 0.01.7 4.93 16.6 6.4 0.0 0.0 -0.5 -0.4 2.2 1.6 -3.0 -9.00.3 0.00 0.0 -0.2 2.6 5.4 -0.6 0.0 -0.6 6.7 9.5 0.0-0.8 0.00 0.4 0.1 -0.5 0.0 -3.5 -1.2 -1.1 0.0 0.0 0.20.2 -0.17 -0.1 11.1 1.6 -0.6 0.0 0.0 0.0 -1.5 0.0 3.4
20.8 20.9 -9.8 22.5 -1.6 19.8 35.6 38.6 23.5 0.6 21.4 7.1
0.6 0.00 0.0 0.0 0.1 0.4 0.1 17.6 0.0 0.0 1.3 17.21.0 0.04 0.5 0.0 0.1 0.0 0.2 1.8 0.1 0.0 0.0 0.61.3 0.00 0.1 0.1 0.1 0.0 0.1 6.4 0.0 0.3 2.3 0.40.0 3.11 0.0 0.2 0.0 1.8 0.0 0.7 0.0 0.0 0.0 1.20.8 3.11 0.3 0.7 0.0 1.2 23.5 0.2 0.0 0.3 0.1 0.30.0 3.11 0.7 1.2 0.1 1.8 0.4 0.0 0.1 0.0 0.1 0.00.3 3.11 0.2 0.0 0.9 1.0 0.8 0.1 0.0 0.0 0.1 4.30.0 3.11 0.0 0.0 0.0 1.1 0.1 0.4 1.8 0.3 0.0 0.00.0 0.01 0.0 0.0 0.4 0.0 1.0 0.0 2.4 0.0 0.9 0.00.0 0.00 0.0 0.0 0.1 0.9 0.1 0.0 1.5 0.7 0.0 0.10.0 0.00 0.0 0.3 0.0 22.7 0.0 0.0 0.0 5.1 0.0 0.00.0 0.43 0.1 0.1 0.7 0.0 0.0 0.0 0.9 0.0 0.9 0.05.9 1.24 0.1 0.0 1.6 1.5 0.8 0.0 0.0 0.0 1.1 0.43.9 0.01 0.0 0.0 0.8 0.7 0.0 0.4 0.9 0.2 0.9 0.00.3 32.49 0.4 0.0 4.0 0.2 0.1 2.2 0.2 0.0 0.0 0.01.7 0.10 0.1 0.0 0.0 0.7 0.0 0.3 0.4 1.8 0.2 0.13.5 0.44 1.0 0.0 0.0 1.0 0.0 0.0 0.2 8.2 2.1 6.11.0 1.23 0.1 0.0 4.6 0.0 0.0 0.3 4.1 14.2 0.1 4.40.4 0.01 0.0 3.2 0.4 0.0 0.0 2.9 0.3 0.0 0.0 0.00.0 0.00 0.0 1.5 6.4 0.0 0.0 0.3 30.3 1.1 0.1 3.02.2 0.02 9.7 0.0 0.3 0.0 55.7 0.3 0.0 0.2 0.1 5.00.1 27.76 9.7 0.0 17.4 27.8 12.7 0.0 3.2 5.2 8.1 0.00.0 0.00 9.7 0.0 1.1 0.7 0.9 0.0 33.8 1.3 1.9 0.60.5 0.00 9.7 30.1 10.7 1.8 0.6 95.4 4.0 1.2 2.3 6.3
13.1 1.01 9.7 17.0 10.7 1.8 7.3 0.3 0.0 12.4 2.3 0.032.7 1.71 0.7 13.2 0.1 0.0 0.0 1.8 0.0 0.1 31.7 0.02.0 8.39 42.3 11.9 0.0 0.0 0.4 0.3 2.9 1.8 4.4 18.70.2 0.00 0.0 0.1 3.5 9.5 0.6 0.0 0.5 12.6 20.1 0.00.7 0.00 0.3 0.0 0.4 0.0 5.3 1.3 1.2 0.0 0.0 0.1
0.1 0.09 0.0 24.8 1.8 0.5 0.0 0.0 0.0 1.7 0.0 5.2
72.4 90.6 95.4 104.5 66.1 77.3 110.6 133.1 89.0 68.9 81.0 74.2
378.043211119.756544725.94321125108.51521556.828548922.061887132.9285410620.6765401.7352112922.123213085.061881329.0885443282.02852444.643212074.1952137078.069927375.908533840.05525891.585887541.7645410497.368525454.075216219.7205540.25254413330.241951594.0939121970.90624819.9019709.8672114657.15254
491624.594
0.00.00.0-1.90.0-0.4-0.3-0.50.0-0.10.10.04.30.10.0-3.4-2.2-3.0-0.20.3-0.51.9-1.00.0-0.75.6
20.31.90.00.2
20.5
0.00.00.02.30.00.30.20.40.00.00.00.07.00.00.05.12.84.30.10.20.42.41.00.00.79.9
55.42.30.0
0.1
95.0
B. METODOLOGÍA
ANALISIS DE CONSISTENICA
1) ANÁLISIS DE SALTOS
A. IDENTIFICACION DE SALTOS
A.1. Análisis gráficoVer Anexo 01 y 02
A.2. Análisis de doble masaUtilizando los valores de la media de cada mes obtenemos:
B. EVALUACION Y CUANTIFICACION DE SALTOS
Consistencia en la media
Prueba Ti. Planteamiento de hipóteis
HP:
HA:
Tomaremos como peíodo confiable a los años 1984 - 1992 (Período 2), y como período dudoso a los años 1963 - 1983 (Período 1).
La media muestral de los datos correspondientes a precipitaciones de la estación dudosa "Choten", es estadísticamente equivalente a la media muestral de los datos correspondientes de la estación confiable "Weberbawer", con un nivel de confianza del 95 %
La media muestral de los datos correspondientes a precipitaciones de la estación dudosa "Choten", no es estadisticamente equivalente a la media muestral de los datos correspondientes de la estación confiable "Weberbawer", con un nivel de confianza del 95 %
0 2000 4000 6000 8000 10000 12000 14000 16000 18000 200000
2000
4000
6000
8000
10000
12000
14000
16000
18000
20000
CURVA DE DOBLE MASA
Promedio acumulado anual estación WEBERBAWER
Prom
edio
acu
mul
ado
anua
l - e
stac
ión
CHO
TEN
1963
1978
1984
1992
PERIODO DUDOSO (1)
PERIODO CONFIABLE (2)
%)5(:
%)5(:
21
21
XXHA
XXHP
252 - 1 = 251
108 - 1 = 107GL= 360 - 2 = 358
Obtenemos el T tabular para una grado de libertad de 358 y un nivel de confianza del 95 % :
Tt = 1.96
45.91 252
58.53 108
42.31
57.1
1789.83
3260.70Sp = 47.22Sd = 5.43Tc = 2.32
Consistencia en la varianza
Prueba Fi. Planteamiento de hipóteis
HP:
HA:
GLd= 252 - 1 = 251GLn = 108 - 1 = 107
Obtenemos el F tabular para un nivel de confianza del 95 % :
La media muestral de los datos correspondientes a precipitaciones de la estación dudosa "Choten", no es estadisticamente equivalente a la media muestral de los datos correspondientes de la estación confiable "Weberbawer", con un nivel de confianza del 95 %
ii. Determinación del T tabular (Tt)
GL1=
GL2 =
iii. Determinación del T calculado (Tc)
X1 = n1 =
X2 = n2 =
S1 =
S2 =
S²1 =
S²2 =
Como el Tc > Tt entonces se acepta HA, lo que significa que la prueba es siginificativa por lo que se tiene que corregir la información del periodo dudoso, eliminando los saltos.
La varianza muestral de los datos correspondientes a precipitaciones de la estación dudosa "Choten", es estadísticamente equivalente a la varianza muestral de los datos correspondientes de la estación confiable "Weberbawer", con un nivel de confianza del 95 %
La varianza muestral de los datos correspondientes a precipitaciones de la estación dudosa "Choten", no es estadisticamente equivalente a la varianza muetsral de los datos correspondientes de la estación confiable "Weberbawer", con un nivel de confianza del 95 %
ii. Determinación del F tabular (Ft)
%)5(:
%)5(:22
21
22
21
SSHA
SSHP
Ft = 1.32
1789.83
3260.70
Si: >Entonces: Fc = 1.82
C. ELIMINACIÓN DE SALTOS SIGNIFICATIVOS
El periodo 1 es le que se va a corregir, siendo el periodo 2 el confiable:
Ver Tabla Nº 03
iii. Determinación del T calculado (Tc)
S²1 =
S²2 =
S²2 S²1
Como Ft es menor que Fc, se acepta HA, en la que las varianzas del periodo 1 y 2 no son equivalentes estadísticamente. Entonces la prueba es significativa y se tiene que corregir los la información del período dudoso.
x'i = 1.35 x'i -3.44
221
1' xSS
xxx ii
53.5810.5730.42
91.45'
ii
xx
AÑO
Año WEBERBAWER acumulado CHOTEN acumulado 19631963 645 645 579.5 579.5 19641964 777.7 1422.7 571.0 1150.5 19651965 605.9 2028.6 587.0 1737.5 19661966 428.5 2457.1 496.9 2234.4 19671967 664.4 3121.5 615.9 2850.3 19681968 509 3630.5 560.9 3411.2 19691969 674.7 4305.2 570.9 3982.1 19701970 533.4 4838.6 552.3 4534.4 19711971 771.8 5610.4 580.1 5114.5 19721972 437.6 6048 506.0 5620.5 19731973 673.51 6721.51 615.6 6236.1 19741974 663.9 7385.41 523.6 6759.7 19751975 923.2 8308.61 768.1 7527.8 19761976 560.8 8869.41 609.5 8137.3 19771977 694.4 9563.81 605.6 8742.9 19781978 358.8 9922.61 367.5 9110.4 19791979 534.68 10457.29 394.6 9505 19801980 553.9 11011.19 376.1 9881.1 19811981 736.1 11747.29 483.3 10364.4 19821982 717.2 12464.49 646.9 11011.3 19831983 756.9 13221.39 557.7 11569 19841984 905.8 14127.19 819.7 12388.7 19851985 374.1 14501.29 532.8 12921.5 19861986 544.4 15045.69 708.9 13630.4 19871987 535.4 15581.09 630.9 14261.3 19881988 602.9 16183.99 787.2 15048.5 19891989 699.2 16883.19 909.3 15957.8 19901990 643.3 17526.49 717.6 16675.4 1991
1991 507.4 18033.89 586.7 17262.1 19921992 642 18675.89 628.3 17890.4 TOTAL
X
ENERO FEBRERO MARZO ABRIL MAYO JUNIO JULIO AGOSTO
44.3 101.3 96.0 53.8 13.8 2.6 8.6 24.539.5 64.1 171.9 57.5 13.4 5.0 3.9 17.9
118.6 97.3 78.2 44.1 13.4 8.9 4.6 21.167.4 95.3 108.6 42.2 21.9 0.0 6.0 2.6
114.7 95.3 162.0 34.9 21.9 0.7 15.7 4.663.6 95.3 174.4 30.2 13.0 0.0 3.3 8.550.6 95.3 73.1 75.8 8.9 15.1 2.7 5.374.1 95.3 91.1 51.9 18.8 15.3 4.1 3.363.9 119.8 111.7 52.0 10.9 8.3 10.7 8.961.5 86.6 102.8 68.5 14.0 1.2 4.2 10.193.9 90.0 146.3 85.6 17.0 23.4 6.5 9.767.6 153.5 81.3 45.4 9.3 11.4 5.1 10.3
137.8 171.0 152.3 55.4 31.0 15.8 10.5 11.4131.8 118.6 95.8 57.6 29.1 14.6 5.4 3.449.9 266.6 63.2 48.9 4.2 3.2 4.5 0.234.1 54.8 77.2 53.6 18.6 1.7 8.3 3.625.4 36.8 181.6 55.0 20.1 1.1 5.7 10.739.5 19.7 80.6 61.1 3.6 7.3 5.8 3.947.4 70.3 135.2 21.3 10.7 9.8 6.8 19.063.2 100.6 107.5 28.8 36.0 6.5 7.3 3.631.3 67.0 100.1 64.4 26.9 6.5 17.9 4.055.2 260.0 100.1 50.4 40.8 24.2 14.4 7.264.4 79.0 100.1 53.5 30.1 1.6 2.6 9.6
109.8 82.7 100.1 135.1 17.9 7.6 2.9 32.5150.9 167.3 100.1 60.7 17.9 7.6 13.4 15.0169.7 177.3 56.4 121.6 12.6 5.5 5.0 0.7123.7 217.4 282.6 120.1 20.5 8.3 3.3 3.9103.5 105.6 122.1 45.3 33.7 20.4 3.0 10.542.8 96.5 164.5 74.6 10.8 6.2 0.3 1.3
99.0 55.5 87.2 131.7 31.5 2.1 5.1 11.42339.1 3335.8 3504.1 1881.0 572.3 241.9 197.6 278.7
78.0 111.2 116.8 62.7 19.1 8.1 6.6 9.3
SETIEMBRE OCTUBRE NOVIEMBRE DICIEMBRE TOTAL
18.0 53.4 25.4 137.8 579.5 579.513.1 37.1 48.2 99.4 571.0 1150.517.4 64.5 74.0 44.9 587.0 1737.523.3 49.5 44.3 35.8 496.9 2234.419.0 63.2 37.8 46.1 615.9 2850.326.9 43.6 36.4 65.7 560.9 3411.219.7 47.8 58.6 118.0 570.9 3982.134.2 64.3 43.8 56.1 552.3 4534.45.0 56.9 68.8 63.2 580.1 5114.5
33.7 23.8 45.7 53.9 506.0 5620.525.5 9.1 42.1 66.5 615.6 6236.18.4 38.1 27.4 65.8 523.6 6759.7
17.3 51.5 69.8 44.3 768.1 7527.832.0 30.2 27.5 63.5 609.5 8137.311.9 40.5 55.2 57.3 605.6 8742.910.4 17.7 33.4 54.1 367.5 9110.412.4 4.6 22.5 18.7 394.6 9505.02.9 93.3 35.7 22.7 376.1 9881.1
10.9 38.9 43.0 70.0 483.3 10364.448.7 70.9 59.8 114.0 646.9 11011.320.1 62.1 37.4 120.0 557.7 11569.036.5 82.8 83.8 64.3 819.7 12388.749.5 19.7 23.3 99.4 532.8 12921.53.0 20.3 74.1 122.9 708.9 13630.4
16.0 0.0 21.8 60.2 630.9 14261.318.9 60.8 98.3 60.4 787.2 15048.536.0 74.3 17.3 1.9 909.3 15957.89.9 91.9 92.9 78.8 717.6 16675.47.5 47.9 43.5 90.8 586.7 17262.1
17.6 17.8 49.0 120.4 628.3 17890.4605.7 1376.5 1440.8 2116.9 17890.420.2 45.9 48.0 70.6 596.3
TABLA Nº 03: ESTACION HIDROMETEREOLOGICA DE LA CUENCA DEL RIO CAJAMARQUINO
ESTACION: CHOTEN LATITUD : 07º 10´ Sur DEPATAMENTO : CAJAMARCAINFORMACION: PRECIPITACION LONGITUD : 78º 30´ PROVINCIA : CAJAMARCARED HIDROMÉTRICA: SENAMHI-CAJA ALTITUD : 2536 m.s.n.m. DISTRITO : CAJAMARCA
AÑO ENERO FEBRERO MARZO ABRIL MAYO JUNIO JULIO AGOSTO SETIEMBRE OCTUBRE NOVIEMBRE DICIEMBRE TOTAL ACUMULADO
1963 56.4 133.3 126.2 69.2 15.2 0.1 8.2 29.6 20.9 68.7 30.8 182.6 741.0 741.01964 49.9 83.1 228.6 74.2 14.7 3.3 1.8 20.7 14.2 46.6 61.6 130.8 729.6 1470.61965 156.7 127.9 102.1 56.1 14.7 8.6 2.8 25.0 20.0 83.6 96.5 57.2 751.2 2221.81966 87.6 125.2 143.2 53.5 26.1 -3.4 4.7 0.1 28.0 63.4 56.4 44.9 629.5 2851.31967 151.4 125.2 215.3 43.7 26.1 -2.5 17.8 2.8 22.2 81.9 47.6 58.8 790.2 3641.51968 82.4 125.2 232.0 37.3 14.1 -3.4 1.0 8.0 32.9 55.4 45.7 85.3 715.9 4357.41969 64.9 125.2 95.2 98.9 8.6 16.9 0.2 3.7 23.2 61.1 75.7 155.9 729.4 5086.91970 96.6 125.2 119.5 66.6 21.9 17.2 2.1 1.0 42.7 83.4 55.7 72.3 704.3 5791.21971 82.8 158.3 147.4 66.8 11.3 7.8 11.0 8.6 3.3 73.4 89.4 81.9 741.9 6533.11972 79.6 113.5 135.3 89.0 15.5 -1.8 2.2 10.2 42.1 28.7 58.3 69.3 641.8 7174.91973 123.3 118.1 194.1 112.1 19.5 28.2 5.3 9.7 31.0 8.8 53.4 86.3 789.8 7964.71974 87.8 203.8 106.3 57.9 9.1 12.0 3.4 10.5 7.9 48.0 33.6 85.4 665.6 8630.21975 182.6 227.4 202.2 71.4 38.4 17.9 10.7 12.0 19.9 66.1 90.8 56.4 995.7 9625.91976 174.5 156.7 125.9 74.3 35.8 16.3 3.9 1.2 39.8 37.3 33.7 82.3 781.5 10407.41977 63.9 356.5 81.9 62.6 2.2 0.9 2.6 -3.2 12.6 51.2 71.1 73.9 776.3 11183.71978 42.6 70.5 100.8 68.9 21.7 -1.1 7.8 1.4 10.6 20.5 41.7 69.6 454.8 11638.61979 30.8 46.2 241.7 70.8 23.7 -2.0 4.3 11.0 13.3 2.8 26.9 21.8 491.4 12130.01980 49.9 23.2 105.4 79.0 1.4 6.4 4.4 1.8 0.5 122.5 44.8 27.2 466.5 12596.41981 60.6 91.5 179.1 25.3 11.0 9.8 5.7 22.2 11.3 49.1 54.6 91.1 611.2 13207.61982 81.9 132.4 141.7 35.4 45.2 5.3 6.4 1.4 62.3 92.3 77.3 150.5 832.0 14039.71983 38.8 87.0 131.7 83.5 32.9 5.3 20.7 2.0 23.7 80.4 47.1 158.6 711.6 14751.31984 55.2 260.0 100.1 50.4 40.8 24.2 14.4 7.2 36.5 82.8 83.8 64.3 819.7 15571.01985 64.4 79.0 100.1 53.5 30.1 1.6 2.6 9.6 49.5 19.7 23.3 99.4 532.8 16103.81986 109.8 82.7 100.1 135.1 17.9 7.6 2.9 32.5 3.0 20.3 74.1 122.9 708.9 16812.71987 150.9 167.3 100.1 60.7 17.9 7.6 13.4 15.0 16.0 0.0 21.8 60.2 630.9 17443.6
1988 169.7 177.3 56.4 121.6 12.6 5.5 5.0 0.7 18.9 60.8 98.3 60.4 787.2 18230.81989 123.7 217.4 282.6 120.1 20.5 8.3 3.3 3.9 36.0 74.3 17.3 1.9 909.3 19140.11990 103.5 105.6 122.1 45.3 33.7 20.4 3.0 10.5 9.9 91.9 92.9 78.8 717.6 19857.71991 42.8 96.5 164.5 74.6 10.8 6.2 0.3 1.3 7.5 47.9 43.5 90.8 586.7 20444.41992 99.0 55.5 87.2 131.7 31.5 2.1 5.1 11.4 17.6 17.8 49.0 120.4 628.3 21072.7
TOTAL 2763.9 3996.6 4268.7 2189.6 624.8 225.1 177.0 271.8 677.2 1640.6 1696.4 2540.9 21072.7
2) ANÁLISIS DE TENDENCIASAÑO
A. TENDENCIA EN LA MEDIA 19631964
1º Prueba T del coeficiente de correlación 19651966
HIPÓTESIS 1967
HP: R = 0 (G.C. = 95%) 1968HA: R ≠ 0 1969
19702º Determinación de los parámetros estadísticos para las ecuaciones de mínimos cuadrados : 1971
197219731974
n 360.00 1975t 180.50 1976
104.07 1977
58.54 1978
57.03 197910359.34 1980
R -0.0348 19810.66 1982
1.96 GL = (n-2) = 358 1983Comparando Tc < Tt 1984
19853º Criterio de Aceptación 1986
198719881989199019911992
TOTALXS
S2Cvg1g2
Utilizando las ec. (03), (04), (05), (06), (07), (08)
St
Tmp,t
STm
t * Tmp,t
TC
Tt
Como Tc < Tt, podemos concluir que la prueba es no significativa, comprobándose que no se da la tendencia en la media. Además, por no presentar tendencia en la media, tampoco existe tendencia en la varianza.
ENERO FEBRERO MARZO ABRIL MAYO JUNIO JULIO AGOSTO SETIEMBRE OCTUBRE56.4 133.3 126.2 69.2 15.2 0.1 8.2 29.6 20.9 68.749.9 83.1 228.6 74.2 14.7 3.3 1.8 20.7 14.2 46.6
156.7 127.9 102.1 56.1 14.7 8.6 2.8 25.0 20.0 83.687.6 125.2 143.2 53.5 26.1 -3.4 4.7 0.1 28.0 63.4
151.4 125.2 215.3 43.7 26.1 -2.5 17.8 2.8 22.2 81.982.4 125.2 232.0 37.3 14.1 -3.4 1.0 8.0 32.9 55.464.9 125.2 95.2 98.9 8.6 16.9 0.2 3.7 23.2 61.196.6 125.2 119.5 66.6 21.9 17.2 2.1 1.0 42.7 83.482.8 158.3 147.4 66.8 11.3 7.8 11.0 8.6 3.3 73.479.6 113.5 135.3 89.0 15.5 -1.8 2.2 10.2 42.1 28.7
123.3 118.1 194.1 112.1 19.5 28.2 5.3 9.7 31.0 8.887.8 203.8 106.3 57.9 9.1 12.0 3.4 10.5 7.9 48.0
182.6 227.4 202.2 71.4 38.4 17.9 10.7 12.0 19.9 66.1174.5 156.7 125.9 74.3 35.8 16.3 3.9 1.2 39.8 37.363.9 356.5 81.9 62.6 2.2 0.9 2.6 -3.2 12.6 51.242.6 70.5 100.8 68.9 21.7 -1.1 7.8 1.4 10.6 20.530.8 46.2 241.7 70.8 23.7 -2.0 4.3 11.0 13.3 2.849.9 23.2 105.4 79.0 1.4 6.4 4.4 1.8 0.5 122.560.6 91.5 179.1 25.3 11.0 9.8 5.7 22.2 11.3 49.181.9 132.4 141.7 35.4 45.2 5.3 6.4 1.4 62.3 92.338.8 87.0 131.7 83.5 32.9 5.3 20.7 2.0 23.7 80.455.2 260.0 100.1 50.4 40.8 24.2 14.4 7.2 36.5 82.864.4 79.0 100.1 53.5 30.1 1.6 2.6 9.6 49.5 19.7
109.8 82.7 100.1 135.1 17.9 7.6 2.9 32.5 3.0 20.3150.9 167.3 100.1 60.7 17.9 7.6 13.4 15.0 16.0 0.0169.7 177.3 56.4 121.6 12.6 5.5 5.0 0.7 18.9 60.8123.7 217.4 282.6 120.1 20.5 8.3 3.3 3.9 36.0 74.3103.5 105.6 122.1 45.3 33.7 20.4 3.0 10.5 9.9 91.942.8 96.5 164.5 74.6 10.8 6.2 0.3 1.3 7.5 47.999.0 55.5 87.2 131.7 31.5 2.1 5.1 11.4 17.6 17.8
2339.1 2859.3 3003.6 1820.3 536.5 226.7 197.6 278.7 605.7 1376.578.0 95.3 100.1 60.7 17.9 7.6 6.6 9.3 20.2 45.938.4 71.7 63.7 30.8 10.5 7.0 4.1 7.4 12.2 24.4
1472.1 5147.4 4052.3 949.9 110.8 48.9 17.1 55.1 147.7 596.80.5 0.8 0.6 0.5 0.6 0.9 0.6 0.8 0.6 0.50.7 0.7 0.4 1.0 0.3 0.9 1.2 1.3 0.8 0.02.4 3.0 3.6 3.7 2.3 2.9 3.7 4.4 3.0 2.3
NOVIEMBRE DICIEMBRE TOTAL ACUMULADO AÑO E F M A M J J A30.8 182.6 579.5 579.5 1963 1 2 3 4 5 6 7 861.6 130.8 571.0 1150.5 1964 13 14 15 16 17 18 19 2096.5 57.2 587.0 1737.5 1965 25 26 27 28 29 30 31 3256.4 44.9 401.6 2139.1 1966 37 38 39 40 41 42 43 4447.6 58.8 520.6 2659.7 1967 49 50 51 52 53 54 55 5645.7 85.3 465.6 3125.3 1968 61 62 63 64 65 66 67 6875.7 155.9 475.6 3600.9 1969 73 74 75 76 77 78 79 8055.7 72.3 457.0 4057.9 1970 85 86 87 88 89 90 91 9289.4 81.9 580.1 4638.0 1971 97 98 99 100 101 102 103 10458.3 69.3 506.0 5144.0 1972 109 110 111 112 113 114 115 11653.4 86.3 615.6 5759.6 1973 121 122 123 124 125 126 127 12833.6 85.4 523.6 6283.2 1974 133 134 135 136 137 138 139 14090.8 56.4 768.1 7051.3 1975 145 146 147 148 149 150 151 15233.7 82.3 609.5 7660.8 1976 157 158 159 160 161 162 163 16471.1 73.9 605.6 8266.4 1977 169 170 171 172 173 174 175 17641.7 69.6 367.5 8633.9 1978 181 182 183 184 185 186 187 18826.9 21.8 394.6 9028.5 1979 193 194 195 196 197 198 199 20044.8 27.2 376.1 9404.6 1980 205 206 207 208 209 210 211 21254.6 91.1 483.3 9887.9 1981 217 218 219 220 221 222 223 22477.3 150.5 646.9 10534.8 1982 229 230 231 232 233 234 235 23647.1 158.6 457.6 10992.4 1983 241 242 243 244 245 246 247 24883.8 64.3 719.6 11712.0 1984 253 254 255 256 257 258 259 26023.3 99.4 432.7 12144.7 1985 265 266 267 268 269 270 271 27274.1 122.9 583.3 12728.0 1986 277 278 279 280 281 282 283 28421.8 60.2 444.6 13172.6 1987 289 290 291 292 293 294 295 29698.3 60.4 787.2 13959.8 1988 301 302 303 304 305 306 307 30817.3 1.9 909.3 14869.1 1989 313 314 315 316 317 318 319 32092.9 78.8 717.6 15586.7 1990 325 326 327 328 329 330 331 33243.5 90.8 586.7 16173.4 1991 337 338 339 340 341 342 343 34449.0 120.4 628.3 16801.7 1992 349 350 351 352 353 354 355 356
1440.8 2116.9 16801.748.0 70.6 560.121.2 33.0 128.0
449.1 1088.9 16387.50.4 0.5 0.20.7 0.2 0.72.7 2.5 3.2
S O N D AÑO ENERO FEBRERO MARZO ABRIL MAYO JUNIO JULIO9 10 11 12 1963 56.365 266.63 378.48 276.76 75.95 0.42 57.19
21 22 23 24 1964 648.51 1163.33 3429.38 1187 249.05 59.58 34.67533 34 35 36 1965 3916.8 3325.79 2757.51 1571 424.85 257.25 85.8745 46 47 48 1966 3239.4 4758.17 5583.63 2141.2 1071.13 -144.48 200.3857 58 59 60 1967 7418.8 6260.75 10978 2271.1 1384.63 -134.73 976.52569 70 71 72 1968 5027.6 7763.33 14616 2389 917.15 -227.04 68.00581 82 83 84 1969 4735.5 9265.91 7143.38 7516 660.275 1321.71 16.19593 94 95 96 1970 8210.6 10768.49 10400 5863 1952.66 1549.35 190.645
105 106 107 108 1971 8034 15512.42 14588 6676 1138.78 792.03 1133.515117 118 119 120 1972 8674.8 12481.7 15023 9972 1746.98 -207.48 256.45129 130 131 132 1973 14922 14403.32 23870 13903 2438.75 3546.9 677.545141 142 143 144 1974 11680 27307.19 14353 7867.6 1248.76 1649.1 478.855153 154 155 156 1975 26476 33201.86 29718 10560 5723.09 2683.5 1620.985165 166 167 168 1976 27395 24753.86 20017 11891 5771.05 2635.74 627.55177 178 179 180 1977 10803 60599.9 14001 10763 385.79 153.12 461.125189 190 191 192 1978 7709.7 12838.28 18443 12681 4008.95 -212.97 1452.055201 202 203 204 1979 5954 8970.56 47135.4 13879 4667.92 -387.09 846.745213 214 215 216 1980 10226 4769.93 21812 16441 296.78 1347.15 926.29225 226 227 228 1981 13139 19939.37 39219 5569.3 2432.11 2173.38 1280.02237 238 239 240 1982 18751 30445.1 32729 8222 10522.3 1248.39 1507.525249 250 251 252 1983 9354.4 21056.42 32002 20374 8054.38 1312.41 5119.075261 262 263 264 1984 13966 66040 25525.5 12902 10485.6 6243.6 3729.6273 274 275 276 1985 17066 21014 26726.7 14338 8096.9 432 704.6285 286 287 288 1986 30415 22990.6 27927.9 37828 5029.9 2143.2 820.7297 298 299 300 1987 43610 48517 29129.1 17724 5244.7 2234.4 3953309 310 311 312 1988 51080 53544.6 17089.2 36966 3843 1683 1535321 322 323 324 1989 38718 68263.6 89019 37952 6498.5 2639.4 1052.7333 334 335 336 1990 33638 34425.6 39926.7 14858 11087.3 6732 993345 346 347 348 1991 14424 32617 55765.5 25364 3682.8 2120.4 102.9357 358 359 360 1992 34551 19425 30607.2 46358 11119.5 743.4 1810.5
AGOSTO SETIEMBRE OCTUBRE NOVIEMBRE DICIEMBRE237.08 187.74 686.5 339.35 2191.08
414.5 299.145 1026.19 1417.49 3138801.44 661.65 2843.59 3376.1 2058.3
3.08 1260.675 2915.71 2649.155 2154.72155.12 1265.97 4749.04 2807.81 3527.7546.38 2268.375 3879.4 3244.7 6138.36
297.2 1875.555 5009.38 6280.61 13092.2493.38 3973.89 7836.31 5290.55 6940.32891.8 347.55 7777.75 9570.08 8843.04
1182.62 4920.435 3385.42 6932.345 83191235.84 3997.065 1149.85 6994.745 11396.22
1465.1 1113.9 6815.29 4797.65 12296.161816.4 3046.995 10177.09 14072.45 8792.94
188.6 6560.4 6196.78 5625.395 13823.88-557.92 2234.625 9119.83 12723.32 13304.7266.96 2003.4 3886.45 7955.15 13362.24
2201 2673.3 559.54 5467.805 4448.22386.9 101.175 26218.21 9622.325 5876.28
4975.04 2536.875 11090.95 12396.47 20761.68335.12 14766.285 21961.45 18472.31 36110.4486.08 5900.055 20098.75 11809.55 39957.12
1872 9526.5 21693.6 22039.4 16975.22611.2 13513.5 5397.8 6407.5 27434.4
9230 855 5805.8 21266.7 35395.24440 4752 0 6518.2 18060
215.6 5840.1 18848 30571.3 18844.81248 11556 23924.6 5587.9 615.63486 3296.7 30694.6 31121.5 26476.8
447.2 2587.5 16573.4 15094.5 31598.44058.4 6283.2 6372.4 17591 43344
3) COMPLECIÓN Y EXTENSIÓN DE DATOS HIDROMETEOROLÓGICOS
A. CORRELACIÓN CRUZADA
Calcularemos los parámetros estadi
Mes Enero Febrero Marzo Abril Mayo Junio Julio Agosto Sept. Octubre Nov.X 74.46 94.54 109.13 62.16 27.63 9.41 6.50 12.29 28.90 67.17 57.93Y 92.13 134.82 149.46 73.41 21.04 7.50 5.90 9.06 22.57 54.69 56.55Sx 36.14 48.30 72.48 25.26 19.97 7.96 6.60 9.02 17.57 32.94 21.45Sy 43.97 75.10 58.10 28.71 11.63 8.72 5.10 9.10 14.90 30.15 23.73XY 7897.7 15693.2 18601.4 5086.4 774.4 131.9 63.0 171.8 750.3 4496.7 3411.6
Calcularemos los parámetros de la ecuación de re
Mes Enero Febrero Marzo Abril Mayo Junio Julio Agosto Sept. Octubre Nov.
R 0.65 0.81 0.54 0.72 0.83 0.88 0.73 0.74 0.37 0.83 0.27
b 0.79 1.26 0.44 0.82 0.48 0.97 0.57 0.74 0.32 0.76 0.30
a 32.94 15.41 101.89 22.40 7.64 -1.61 2.22 -0.07 13.42 3.73 39.44
Realizamos la prueba T de Student
n 30 25 25 29 28 28 30 30 30 30 30 n-2 28 23 23 27 26 26 28 28 28 28 28 Tc 4.565 6.682 3.108 5.421 7.658 9.593 6 5.753 2.132 7.836 1.466Tt 2.048 2.069 2.069 2.052 2.056 2.056 2.048 2.048 2.048 2.048 2.048
Comp. Tc > Tt Tc > Tt Tc > Tt Tc > Tt Tc > Tt Tc > Tt Tc > Tt Tc > Tt Tc > Tt Tc > Tt Tc < Tt
ECUACIONES DE COMPLETACIÓN Y EXTENSIÓN(*) SEGÚN REGRESIÓN Y = a + bX
ENERO FEBRERO
Y = 32.94 0.79 X Y = 15.41 1.26 X
MARZO ABRIL
Y = 0.00 0.00 X Y = #REF! #REF! X
MAYO JUNIO
Y = 30.00 0.00 X Y = #REF! #REF! X
Aplicando las fórmulas para la completación y extensión de datos, tenemos:
Completaremos y extenderemos los datos de los años que cumplan la condición entre Tc y Tt y aquellos, cuya diferencia pueda despreciarse Enero, Febrero, Marzo, Abril, Mayo, Junio, Julio, Agosto, Setiembre, Octubre,
Noviembre y Diciembre.
ESTACION WEBERBAWER (x)AÑO ENERO FEBRERO MARZO ABRIL MAYO JUNIO JULIO
1963 35.8 85.1 70.3 52.1 13.3 3.9 10.21964 30.3 50.4 357.3 56.2 12.3 6.6 1.61965 121.1 81.4 121.1 41.7 12.1 11.1 2.91966 62.7 45.9 54.5 41.9 44.0 0.0 7.5
Dic. 1967 120.9 139.5 109.1 32.3 44.1 3.9 28.472.42 1968 58.0 81.0 67.7 26.2 14.9 1.6 1.684.70 1969 42.0 73.7 83.5 85.7 1.5 19.6 0.342.28 1970 71.0 41.8 79.9 54.5 33.8 19.9 3.241.48 1971 58.4 97.8 275.7 54.7 8.0 12.2 17.6
7356.1 1972 55.5 67.6 11.8 76.2 18.1 4.4 3.41973 95.3 70.7 91.6 98.4 27.9 28.7 8.41974 76.8 128.2 95.2 58.5 4.6 17.3 6.51975 137.6 181.8 238.5 70.7 66.8 10.0 7.2
Dic. 1976 130.4 62.9 81.3 55.2 43.0 23.0 0.10.70 1977 129.9 146.4 141.9 42.6 25.5 8.0 7.50.68 1978 12.7 34.4 48.8 37.0 65.6 3.9 4.4
35.16 1979 84.1 81.6 159.7 37.1 16.3 1.8 7.51980 34.9 42.4 65.0 29.3 6.9 15.1 3.21981 78.2 186.5 105.7 33.7 14.7 6.6 7.21982 71.8 102.9 75.7 88.7 38.2 7.8 2.1
30 1983 116.6 75.7 152.8 105.7 31.1 10.1 9.6 28 1984 24.7 233.6 123.8 80.0 69.5 25.1 23.4
5.146 1985 24.6 42.4 37.2 41.9 53.0 0.4 4.82.048 1986 84.4 47.7 96.8 120.2 16.0 0.6 1.2Tc > Tt 1987 98.0 95.2 39.2 52.2 11.2 4.0 10.8
1988 109.7 105.5 44.8 95.6 10.6 5.4 0.01989 87.0 158.8 113.5 85.4 18.8 16.7 3.21990 101.0 95.3 101.8 62.0 28.0 10.7 6.81991 43.8 90.0 133.7 55.2 17.9 0.7 0.4
1992 36.5 90.0 96.0 93.8 61.1 3.3 3.9TOTAL 2233.7 2836.2 3273.9 1864.7 828.8 282.4 194.9
X 74.5 94.5 109.1 62.2 27.6 9.4 6.5S 36.1 48.3 72.5 25.3 20.0 8.0 6.6
Completaremos y extenderemos los datos de los años que cumplan la condición entre Tc y Tt y aquellos, cuya diferencia pueda despreciarse Enero, Febrero, Marzo, Abril, Mayo, Junio, Julio, Agosto, Setiembre, Octubre,
ESTACION CHOTEN (y)AGOSTO SETIEMBRE OCTUBRENOVIEMBREDICIEMBRE AÑO ENERO FEBRERO MARZO
32.6 42.9 79.7 47.0 172.1 1963 56.37 133.32 126.1623.8 12.6 52.6 58.8 115.2 1964 49.89 83.10 228.6328.0 13.4 98.0 40.7 34.4 1965 156.67 127.92 102.130.7 13.1 76.8 62.7 18.7 1966 87.55 143.175.8 24.9 101.0 17.8 36.7 1967 151.41 215.26
16.2 50.0 66.4 54.6 70.8 1968 82.42 232.007.8 18.4 73.8 106.4 162.0 1969 64.87 95.252.5 18.2 103.0 51.5 54.1 1970 96.60 119.55
17.2 28.1 89.8 45.8 66.5 1971 82.83 158.29 147.3620.6 31.9 31.4 66.5 50.2 1972 79.59 113.47 135.3419.3 87.2 5.5 68.2 72.3 1973 123.33 118.06 194.0726.4 39.7 71.0 55.1 84.6 1974 87.82 203.79 106.3219.3 45.1 80.2 65.1 0.9 1975 182.59 227.41 202.174.4 12.3 32.2 71.6 44.4 1976 174.49 156.67 125.890.1 16.1 53.4 54.8 68.2 1977 63.93 356.47 81.883.8 25.0 24.4 54.0 44.8 1978 42.60 70.54 100.78
15.7 33.6 24.4 26.3 46.6 1979 30.85 46.24 241.726.7 2.3 130.4 111.0 106.7 1980 49.89 23.16 105.37
12.7 22.0 111.9 45.6 111.3 1981 60.55 91.47 179.086.6 43.9 124.8 67.3 87.4 1982 81.88 132.37 141.692.7 19.2 86.9 28.1 118.4 1983 38.82 87.01
18.7 36.7 68.6 97.6 104.1 1984 55.20 260.0018.3 37.3 50.0 23.9 40.3 1985 64.40 79.0014.6 1.3 43.6 66.2 51.8 1986 109.80 82.7012.3 39.5 37.2 74.3 61.5 1987 150.90 167.300.4 32.9 69.4 65.2 63.4 1988 169.70 177.30 56.405.9 53.5 106.6 47.1 2.7 1989 123.70 217.40 282.60
10.3 28.7 73.3 61.2 64.2 1990 103.50 105.60 122.100.3 10.2 28.2 55.1 71.9 1991 42.80 96.50 164.50
15.1 27.0 20.7 48.3 146.3 1992 99.00 55.50 87.20368.8 867.0 2015.2 1737.8 2172.5 TOTAL 2763.9 3370.6 3736.6
12.3 28.9 67.2 57.9 72.4 X 92.1 134.8 149.59.0 17.6 32.9 21.5 42.3 S
ABRIL MAYO JUNIO JULIO AGOSTO SETIEMBRE OCTUBRE NOVIEMBRE DICIEMBRE
69.19 15.19 0.07 8.17 29.64 20.86 68.65 30.85 182.5974.19 14.65 3.31 1.83 20.72 14.25 46.65 61.63 130.7556.10 14.65 8.58 2.77 25.05 20.05 83.64 96.46 57.1853.53 26.13 -3.44 4.66 0.07 28.02 63.39 56.37 44.8943.68 26.13 -2.50 17.76 2.77 22.21 81.88 47.59 58.8037.33 14.11 -3.44 1.02 8.04 32.88 55.42 45.70 85.2698.89 8.58 16.95 0.21 3.72 23.16 61.09 75.67 155.8666.63 21.94 17.22 2.10 1.02 42.73 83.37 55.69 72.3066.76 11.28 7.77 11.01 8.58 3.31 73.38 89.44 81.8889.04 15.46 -1.82 2.23 10.20 42.06 28.69 58.26 69.33
112.12 19.51 28.15 5.34 9.66 30.99 8.85 53.40 86.3457.85 9.12 11.95 3.45 10.47 7.90 48.00 33.55 85.3971.35 38.41 17.89 10.74 11.95 19.92 66.09 90.79 56.3774.32 35.85 16.27 3.85 1.15 39.76 37.33 33.69 82.2962.58 2.23 0.88 2.64 -3.17 12.63 51.24 71.08 73.9268.92 21.67 -1.15 7.77 1.42 10.60 20.46 41.65 69.6070.81 23.70 -1.95 4.26 11.01 13.30 2.77 26.94 21.8179.05 1.42 6.42 4.39 1.83 0.48 122.52 44.76 27.2125.32 11.01 9.79 5.74 22.21 11.28 49.08 54.61 91.0635.44 45.16 5.34 6.42 1.42 62.31 92.28 77.29 150.4683.50 32.88 5.34 20.72 1.96 23.70 80.40 47.05 158.5650.40 40.80 24.20 14.40 7.20 36.50 82.80 83.80 64.3053.50 30.10 1.60 2.60 9.60 49.50 19.70 23.30 99.40
135.10 2.90 32.50 3.00 20.30 74.10 122.9013.40 15.00 16.00 0.00 21.80 60.20
121.60 12.60 5.50 5.00 0.70 18.90 60.80 98.30 60.40120.10 20.50 8.30 3.30 3.90 36.00 74.30 17.30 1.9045.30 33.70 20.40 3.00 10.50 9.90 91.90 92.90 78.8074.60 10.80 6.20 0.30 1.30 7.50 47.90 43.50 90.80
131.70 31.50 2.10 5.10 11.40 17.60 17.80 49.00 120.402128.9 589.0 209.9 177.0 271.8 677.2 1640.6 1696.4 2540.9
73.4 21.0 7.5 5.9 9.1 22.6 54.7 56.5 84.7
P*QAÑO ENERO FEBRERO MARZO ABRIL MAYO JUNIO
1963 2017.87 11345.11 8869.05 3604.80 202.03 0.271964 1511.52 4187.99 81687.71 4169.20 180.20 21.851965 18972.74 10412.28 12367.94 2339.16 177.27 95.181966 5489.39 7802.77 2242.91 1149.50 0.001967 18304.86 23484.87 1410.70 1152.11 -9.731968 4780.36 15706.40 978.05 210.24 -5.501969 2724.54 7952.96 8474.87 12.86 332.121970 6858.25 9551.65 3631.06 741.57 342.581971 4836.98 15480.76 40625.77 3651.77 90.20 94.731972 4416.97 7670.57 1597.01 6784.47 279.83 -8.011973 11752.87 8346.84 17776.35 11032.61 544.33 807.911974 6744.58 26125.24 10121.19 3384.23 41.93 206.741975 25124.38 41343.14 48216.35 5044.45 2565.79 178.901976 22753.50 9854.54 10234.86 4102.46 1541.34 374.211977 8303.86 52187.21 11618.77 2665.70 56.87 7.041978 540.96 2426.58 4918.06 2550.04 1421.55 -4.471979 2594.48 3773.18 38602.68 2627.05 386.23 -3.481980 1740.99 981.77 6849.05 2316.02 9.80 96.871981 4735.01 17058.22 18928.76 853.12 161.77 64.611982 5878.98 13620.87 10725.55 3143.53 1725.11 41.611983 4525.83 6586.66 8825.95 1022.41 53.881984 1363.44 60736.00 4032.00 2835.60 607.421985 1584.24 3349.60 2241.65 1595.30 0.641986 9267.12 3944.79 16239.021987 14788.20 15926.961988 18616.09 18705.15 2526.72 11624.96 133.56 29.701989 10761.90 34523.12 32075.10 10256.54 385.40 138.611990 10453.50 10063.68 12429.78 2808.60 943.60 218.281991 1874.64 8685.00 21993.65 4117.92 193.32 4.34
1992 3613.50 4995.00 8371.20 12353.46 1924.65 6.93TOTAL 236931.53 392330.26 465034.21 147506.28 21684.35 3693.23
X 7897.72 15693.21 18601.37 5086.42 774.44 131.90
JULIO AGOSTO SETIEMBRE OCTUBRE NOVIEMBRE DICIEMBRE
83.33 966.10 894.89 5471.41 1449.95 31423.742.92 493.25 179.49 2453.53 3623.84 15062.408.03 701.26 268.67 8196.23 3925.92 1966.82
34.95 0.05 367.00 4867.97 3534.09 839.44504.24 16.07 553.03 8269.88 847.10 2157.78
1.62 130.17 1643.75 3679.89 2495.22 6036.050.06 28.98 426.05 4508.44 8051.29 25249.326.70 2.54 777.69 8586.60 2868.04 3911.16
193.69 147.49 93.01 6589.08 4096.35 5445.027.58 210.02 1341.55 900.87 3873.96 3480.12
44.81 186.34 2702.20 48.65 3641.54 6242.0222.39 276.28 313.63 3407.65 1848.61 7223.9977.29 230.64 898.17 5300.02 5910.43 50.730.39 5.06 489.05 1202.03 2411.85 3653.45
19.76 -0.32 203.26 2735.95 3895.18 5041.0034.17 5.40 265.00 499.10 2249.10 3117.8631.91 172.78 446.88 67.59 708.39 1016.1114.05 12.23 1.09 15975.96 4967.81 2902.7741.33 282.07 248.05 5491.49 2490.22 10134.9813.47 9.37 2735.19 11515.92 5201.62 13150.20
198.96 5.29 454.94 6986.33 1322.11 18773.50336.96 134.64 1339.55 5680.08 8178.88 6693.6312.48 175.68 1846.35 985.00 556.87 4005.823.48 474.50 3.90 885.08 4905.42 6366.22
144.72 184.50 632.00 0.00 1619.74 3702.300.00 0.28 621.81 4219.52 6409.16 3829.36
10.56 23.01 1926.00 7920.38 814.83 5.1320.40 108.15 284.13 6736.27 5685.48 5058.960.12 0.39 76.50 1350.78 2396.85 6528.52
19.89 172.14 475.20 368.46 2366.70 17614.521890.28 5154.34 22508.03 134900.11 102346.52 220682.94
63.01 171.81 750.27 4496.67 3411.55 7356.10