Datos Estacion1Descargas Medias mensuales Ro Chillon(m3/seg)ESTACION 1494.15AoEneroFebreroMarzoAbrilMayoJunioJulioagostosetOctubreNoviembreDiciembreTotal (mm)PromedioCantidadINTERVALOCONTEOFr QFrFr QfQQ1951164.24407.79235.94100.8064.9850.6146.2642.0740.1637.5742.4346.911279.76106.65DE CLASEn(n/N)x100m3/sAcumuladaComplem3/sAcumuladam3/sm3/s1952227.57277.77132.9192.3549.0929.0027.6829.4724.5021.5322.0362.07995.9783.0015004754.000.67487.500.6799.33244.080.673.29490.861953119.51311.74277.24105.0448.9143.9830.4229.9223.9124.0929.9158.031102.7091.8924754501.000.17462.500.8399.17231.330.834.12490.031954104.52364.14329.52139.8361.0648.3843.3231.6426.0423.0925.4647.351244.35103.7034504252.000.33437.501.1798.83218.921.175.77488.381955188.15208.89587.82136.20107.6766.2469.3941.3433.2629.3038.3266.541573.12131.0944254008.001.33412.502.5097.50206.922.5012.35481.801956166.52201.1896.0642.3328.4021.9523.9426.8623.8321.5122.5831.76706.9258.9154003753.000.50387.503.0097.00194.003.0014.82479.33195740.36104.82139.4594.2447.6839.7328.2323.5535.7045.7138.3277.02714.8159.5763753502.000.33362.503.3396.67181.423.3316.47477.681958138.08348.50417.1467.6344.2436.9032.7228.9223.6827.3227.7031.931224.76102.0673503258.001.33337.504.6795.33169.424.6723.06471.09195943.78195.24392.5978.7448.8431.1226.7222.8215.559.729.1354.26928.5177.3883253007.001.17312.505.8394.17156.835.8328.83465.321960409.41224.27134.7065.3626.1217.4814.2812.5311.3117.7820.1237.68991.0482.5993002759.001.50287.507.3392.67144.507.3336.24457.91196175.50266.02261.39107.5279.4747.8041.2028.4027.3327.4335.9559.131057.1488.10102752504.000.67262.508.0092.00131.588.0039.53454.621962191.53154.23330.91120.8869.2654.6244.3940.7427.9327.1727.6937.661127.0193.92112502256.001.00237.509.0091.00119.259.0044.47449.681963206.02324.15305.82124.6576.9168.7953.2044.0746.3440.1038.3162.741391.10115.931222520013.002.17212.5011.1788.83107.3311.1755.18438.971964148.94168.6396.3268.4550.6840.9637.8739.9840.5834.0629.0237.82793.3166.111320017514.002.33187.5013.5086.5094.9213.5066.71427.441965297.5368.5569.4438.0729.1727.1927.5425.8624.7522.6021.7728.39680.8656.741417515017.002.83162.5016.3383.6782.6716.3380.71413.44196628.4567.3393.1827.2025.3023.1521.7321.5021.1321.3724.3729.39404.1033.681515012521.003.50137.5019.8380.1770.5019.8398.01396.14196731.93106.21229.4282.4651.3540.2832.9336.7835.5233.6527.8329.80738.1661.511612510021.003.50112.5023.3376.6758.0023.33115.30378.851968128.41146.47153.4490.1659.2149.3042.9038.3137.5338.0553.2255.66892.6674.39171007538.006.3387.5029.6770.3346.9229.67146.60347.55196966.72133.1799.4759.7352.4445.6240.0538.1737.5236.3436.9144.63690.7757.5618755072.0012.0062.5041.6758.3337.2541.67205.90288.251970152.24183.94147.7484.8555.8445.3939.8937.5236.3236.5934.2939.47894.0874.51195025304.0050.6737.5092.337.6744.0892.33456.2737.88197179.54221.07159.2965.5751.8743.5038.0832.3328.0425.3423.4832.22800.3366.692025046.007.6712.50100.000.0010.08100.00494.150.001972223.85172.35302.44179.8285.2656.7047.0641.2337.0036.6836.6747.871266.93105.58600.001973180.82381.59440.85241.11119.6067.8151.2543.9038.1936.7331.3936.631669.87139.161974276.82483.35207.79127.7076.5455.4645.2946.0749.0236.1731.5236.761472.49122.711975124.85406.71289.31113.8883.1968.0548.5842.2035.9333.1230.6350.611327.06110.591976241.25186.94298.27106.6469.3957.4447.9242.2350.1034.1429.5131.631195.4699.62197750.29213.86275.8070.9858.2647.1639.3736.0732.8529.9541.3331.81927.7377.311978229.53294.3037.24106.9844.5628.0926.9227.0825.9524.9825.1839.89910.7075.89197979.1183.91265.69107.3254.2642.7834.4132.8832.5331.1235.9642.37842.3470.20198054.5558.03193.5686.1741.2632.5130.0826.9928.6326.6830.6229.81638.8953.24198155.28311.97436.5599.1362.2549.1448.8438.5426.0930.0032.5035.371225.66102.141982172.2893.56114.6399.3649.9352.6643.4535.2831.7423.6029.7755.32801.5866.80198335.7868.14176.7141.6434.3238.4427.3030.6534.9635.2418.8030.35572.3347.69198498.01494.15201.51133.3641.9443.2247.7336.6432.5419.7435.91143.651328.40110.70198580.41335.84405.77185.4093.2440.2038.3040.7429.1428.0930.0333.431340.59111.721986345.14176.72200.94183.2989.4737.4332.3237.6029.0235.4312.2236.611216.19101.35198751.87261.55154.4053.1834.5233.5233.8126.9327.3114.0728.4730.36749.9962.501988157.89138.04160.26132.1775.9257.8542.8537.9226.2229.7036.9533.49929.2677.441989158.22410.61534.47103.2867.8742.9749.6340.4330.9032.6223.6030.351524.95127.08199036.5287.1431.4643.9628.9535.4230.6937.1535.7536.2039.3454.98497.5641.46199186.51165.89106.1766.1364.7041.9337.0536.6033.7538.6538.5134.22750.1162.511992137.06134.56131.3927.9122.8238.2928.9337.1139.2137.5820.2931.92687.0757.26199369.61174.36215.8043.4034.1038.1643.1731.7033.7322.7433.0568.85808.6767.391994348.54424.22301.7972.0039.8433.9828.7526.9433.6934.0433.2635.741412.79117.731995205.5360.82167.3355.7657.9551.7150.3743.0446.0524.1538.7230.75832.1869.35199619.2483.11340.00194.84179.33106.4875.1051.7740.3933.8031.5828.301183.9498.66199734.8497.48339.21370.81142.8376.0047.7539.5631.7336.4535.9435.261287.86107.32199838.61202.62311.7892.4987.6844.0538.6336.9035.9932.6032.4033.55987.3082.28199948.5476.91469.43421.54135.9387.0674.8757.6445.0637.5538.6335.541528.70127.39200031.02154.75397.51282.47113.1065.1747.0935.5838.7133.5833.8933.731266.60105.55MEDIA133.62214.35243.96112.7064.3546.8340.0135.4032.6630.1130.9143.391028.2985.69DesvStand94.17120.63130.5678.3232.3016.5112.278.027.937.307.9418.99306.9925.58Varianza8868.1714550.7017046.166134.001043.28272.72150.4464.2762.9653.2862.98360.5294242.56654.46

50600Varianza:654.4621876258media:85.69desviacion estandar:25.5824585923Vmx:139.16Vmin:33.68Curtosis-0.8549347823Coef.de asimetria:0.1348299366

PROBABILIDAD EMPIRICAP %: Probabilidad de ocurrenciaq %: Probabilidad de no ocurrenciaTr: Tiempo de retornomQ maximo anualLog(Q)pe%qe%Tiempo de retornope%=(m/(n+1))*100Qi anual (m3/seg)Zi=Qi-Qanual S1139.162.141.9698.0451.00139.162.08989816752131.092.123.9296.0825.50131.091.77474081193127.392.115.8894.1217.00127.391.63004531084127.082.107.8492.1612.75127.081.61782990945122.712.099.8090.2010.20122.711.44694458776117.732.0711.7688.248.50117.731.25247539777115.932.0613.7386.277.29115.931.18182151618111.722.0515.6984.316.38111.721.01728820319110.702.0417.6582.355.67110.700.977580005110110.592.0419.6180.395.10110.590.97321503511107.322.0321.5778.434.64107.320.845523372512106.652.0323.5376.474.25106.650.819138105613105.582.0225.4974.513.92105.580.777345145614105.552.0227.4572.553.64105.550.776270190315103.702.0229.4170.593.40103.700.703792142116102.142.0131.3768.633.19102.140.642910581617102.062.0133.3366.673.00102.060.639978885318101.352.0135.2964.712.83101.350.61206262141999.622.0037.2562.752.6899.620.54453588252098.661.9939.2260.782.5598.660.50701016952193.921.9741.1858.822.4393.920.32156408932291.891.9643.1456.862.3291.890.2423757142388.101.9445.1054.902.2288.100.09396673082483.001.9247.0652.942.1383.00-0.10529089652582.591.9249.0250.982.0482.59-0.12135007752682.281.9250.9849.021.9682.28-0.13353290452777.441.8952.9447.061.8977.44-0.32259474352877.381.8954.9045.101.8277.38-0.32503782372977.311.8956.8643.141.7677.31-0.32757862723075.891.8858.8241.181.7075.89-0.38305283673174.511.8760.7839.221.6574.51-0.43719149563274.391.8762.7537.251.5974.39-0.44181706093370.201.8564.7135.291.5570.20-0.60573146033469.351.8466.6733.331.5069.35-0.63882705443567.391.8368.6331.371.4667.39-0.71540947743666.801.8270.5929.411.4266.80-0.73850472973766.691.8272.5527.451.3866.69-0.74257653013866.111.8274.5125.491.3466.11-0.76544376153962.511.8076.4723.531.3162.51-0.90616518544062.501.8078.4321.571.2862.50-0.90655607824161.511.7980.3919.611.2461.51-0.94509159784259.571.7882.3517.651.2159.57-1.02115283044358.911.7784.3115.691.1958.91-1.04685403494457.561.7686.2713.731.1657.56-1.09946169684557.261.7688.2411.761.1357.26-1.11151422624656.741.7590.209.801.1156.74-1.13174293094753.241.7392.167.841.0953.24-1.26845770314847.691.6894.125.881.0647.69-1.4852729344941.461.6296.083.921.0441.46-1.72883175045033.681.5398.041.961.0233.68-2.0332721272

XXX+SX-S

STURGES 1POR STURGESTABLA DE FRECUENCIA CAUDALES MEDIAS DEL RIO CHILLONESTACION 1intervalo de claseMarca de ClaseFrecuencias AbsolutasFrecuencias relativasFrecuencia relativa cumuladaFrecuencia ComplementariaSTURGES:1+3.3LOG(n)n=50139.16DecimalPorcentajeDecimal PorcentajeK=6.60660101437131.0933 - 494130.0660.06694127.3949 - 645790.18180.242476Vmx:139.16Vmx":140127.0864 -7972120.24240.484852Vmin:33.68Vmin":33122.7179 -948760.12120.66040limites: (vmax"-Vmin")/715.285714285716117.7394 - 109102100.2200.88020115.93109 -12511760.12120.92928111.72125-14113340.08811000110.70suma=501100110.59107.32106.65105.58105.55103.70102.14102.06101.3599.6298.6693.9291.8988.1083.0082.5982.2877.4477.3877.3175.8974.5174.3970.2069.3567.3966.8066.6966.1162.5162.5061.5159.5758.9157.5657.2656.7453.2447.6941.4633.68

Q(m3/seg)Q(m3/seg)Q(m3/seg)Q(m3/seg)Q(m3/seg)

sturges mensuales1POR STURGESTABLA DE FRECUENCIA CAUDALES DEL RIO CHILLONESTACION 1intervalo de claseMarca de ClaseFrecuencias AbsolutasFrecuencias relativasFrecuencia relativa cumuladaFrecuencia ComplementariaSTURGES:1+3.3LOG(n)n=600DecimalPorcentajeDecimal PorcentajeK=10.1678991263109 - 67384020.670670.67067.033.067 - 12596790.13213.20.80280.219.8Vmx:587.82Vmx":588125 - 183154430.0727.20.87387.312.7Vmin:9.13Vmin":9183 - 241212260.0434.30.91791.78.3limites: (vmax"-Vmin")/1057.9.58241 - 299270150.0252.50.94294.25.8299 - 357328150.0252.50.96796.73.3357 - 415386100.0171.70.98398.31.7415 - 47344460.0101.00.99399.30.7473 - 53150220.0030.30.99799.70.3531 - 58956020.0030.31.000100.00.0TOTAL6001.000

Datos estacion 2Descargas Medias mensuales Ro Chillon(m3/seg)ESTACION 2AOENEFEBMARABRMAYJUNJULAGOSETOCTNOVDICTOTALPromedio196919.6431.7256.2591.1525.5321.4210.077.747.5212.6728.6650.61362.9830.25197038.9921.7542.6646.0171.3326.0213.027.8011.3632.2334.1551.14396.4733.04197145.9060.14163.8698.8644.3230.4617.7619.8718.7444.3937.5739.74621.6051.80197241.5327.49125.0564.0934.9519.8512.789.968.9113.3714.7023.18395.8632.99197325.3826.4255.88125.9951.1629.9629.8018.0532.7632.9941.6928.81498.8941.57197441.7268.5654.1439.8628.9722.1014.3411.0516.8943.1227.1330.38398.2633.19197556.7174.97167.07117.7358.1331.8623.3114.5928.3052.5530.4313.52669.1755.76197639.5252.6875.1066.8335.5729.3016.068.226.235.225.957.29347.9729.00197726.9189.2779.5761.2135.7022.2412.687.817.719.4217.5528.14398.2233.18197811.9614.0626.0038.0843.7518.0810.746.638.837.3215.3617.86218.6718.22197924.4722.1599.9441.9033.7717.0411.518.5016.377.905.824.91294.2524.5219805.5713.8323.1427.8114.2910.105.153.912.6723.2936.4435.50201.6916.81198113.6872.0164.0848.0217.4321.8911.957.245.6219.7226.7630.31338.7128.23198221.5236.3526.1348.3440.1120.9811.886.449.6135.8631.2772.02360.4930.04198376.3344.02117.13116.4673.7732.8114.227.6912.9413.0710.3531.76550.5445.88198416.97119.26121.1772.9867.1029.4926.5112.0614.5745.1022.5425.07572.8247.73198515.0118.3926.4121.0815.079.105.406.628.1319.367.6716.38168.6114.05198633.3444.1730.3295.9148.9417.9611.8511.957.7414.0636.6331.16384.0232.00198782.9772.1839.9831.8728.1211.859.1713.0212.1815.3420.4413.82350.9529.25198835.9768.4136.5056.3638.2920.6510.938.169.3017.1333.4218.04353.1529.43198968.30107.5795.1199.9731.4216.059.375.7610.6037.9219.8910.50512.4642.7119907.5128.8222.5937.3829.8529.8613.477.225.1526.3330.4135.83274.4222.87199113.9827.0683.8258.7647.6114.288.315.524.115.448.6612.58290.1324.18DesvStand21.6430.3345.2331.8416.857.066.043.977.2614.2410.9515.92131.4310.85MEDIA33.8350.4371.6264.3440.4421.9113.659.4611.7623.6923.4026.27390.7932.46Varianza464.69902.011961.01969.70273.8950.3036.1115.7952.96208.44125.16252.3216958.18117.77Varianza:117.7651636069media:32.46desviacion estandar:10.8519658867Vmx:55.76Vmin:14.05Curtosis-0.1265083671Coef.de asimetria:0.4889232135

PROBABILIDAD EMPIRICA ESTACION 2P %: Probabilidad de ocurrenciaq %: Probabilidad de no ocurrenciaTr: Tiempo de retornomQ maximo anualLog(Q)pe%qe%Tiempo de retorno

155.761.754.1795.8324.00251.801.718.3391.6712.00347.731.6812.5087.508.00445.881.6616.6783.336.00542.711.6320.8379.174.80641.571.6225.0075.004.00733.191.5229.1770.833.43833.181.5233.3366.673.00933.041.5237.5062.502.671032.991.5241.6758.332.401132.001.5145.8354.172.181230.251.4850.0050.002.001330.041.4854.1745.831.851429.431.4758.3341.671.711529.251.4762.5037.501.601629.001.4666.6733.331.501728.231.4570.8329.171.411824.521.3975.0025.001.331924.181.3879.1720.831.262022.871.3683.3316.671.202118.221.2687.5012.501.142216.811.2391.678.331.092314.051.1595.834.171.04

XX -SX + S

STURGES 2POR STURGESTABLA DE FRECUENCIA CAUDALES DEL RIO CHILLONESTACION 2intervalo de claseMarca de ClaseFrecuencias AbsolutasFrecuencias relativasFrecuencia relativa cumuladaFrecuencia ComplementariaDecimalPorcentajeDecimal PorcentajeSTURGES:1+3.3LOG(n)n=2314 - 231940.17170.171783K=5.4937018589523 - 322880.35350.52524832 -413750.22220.747426Vmx:55.76Vmx":5641 -504640.17170.91919Vmin:14.05Vmin":1450 - 595520.0991.001000limites: (vmax"-Vmin")/58.4..9

suma=231100

Q(m3/seg)

Q(m3/seg)

Q(m3/seg)

Q(m3/seg)

Q(m3/seg)

EMCPROBABILIDAD EMPIRICAMETODO DE MOMENTOSP %: Probabilidad de ocurrenciaq %: Probabilidad de no ocurrenciaLIMITES DE APLICABILIDAD: CALCULO DEL ERROR CUADRATICO MINIMOTr: Tiempo de retornomQ maximo anualLog(Q)pe%qe%Tiempo de retornoAOSQ0 (m3/s)Qe (m3/s)Q0 - QeI Q0 - Qe I (m3/s) (Q0 - Qe)2 (m3/s) 139.16137.51.661.65583333332.74178402781139.162.141.9698.0451.00131.09129.91.191.19333333331.42404444442131.092.123.9296.0825.50127.391252.392.39166666675.72006944443127.392.115.8894.1217.00127.08122.54.584.579166666720.96876736114127.082.107.8492.1612.75122.71119.53.213.207510.288056255122.712.099.8090.2010.20117.731161.731.73253.001556256117.732.0711.7688.248.50115.93113.92.022.0254.1006257115.932.0613.7386.277.29111.721110.720.71583333330.51241736118111.722.0515.6984.316.38110.70108.52.202.24.849110.702.0417.6582.355.67110.59106.73.893.888333333315.119136111110110.592.0419.6180.395.10107.321061.321.32166666671.746802777811107.322.0321.5778.434.64106.651042.652.64666666677.004844444412106.652.0323.5376.474.25105.581023.583.577512.7985062513105.582.0225.4974.513.92105.55101.54.054.0516.402514105.552.0227.4572.553.64103.7099.54.204.195833333317.605017361115103.702.0229.4170.593.40102.1498.53.643.638333333313.237469444416102.142.0131.3768.633.19102.06975.065.063333333325.637344444417102.062.0133.3366.673.00101.35965.355.349166666728.613584027818101.352.0135.2964.712.8399.62954.624.621666666721.35980277781999.622.0037.2562.752.6898.66944.664.661666666721.73113611112098.661.9939.2260.782.5593.9291.92.022.01754.070306252193.921.9741.1858.822.4391.89901.891.89166666673.57840277782291.891.9643.1456.862.3288.1088.5-0.400.4050.1640252388.101.9445.1054.902.2283.0085.5-2.502.50256.262506252483.001.9247.0652.942.1382.5985-2.412.41333333335.82417777782582.591.9249.0250.982.0482.2884-1.731.7252.9756252682.281.9250.9849.021.9677.4480.9-3.463.461666666711.98313611112777.441.8952.9447.061.8977.3880.5-3.123.12416666679.76041736112877.381.8954.9045.101.8277.3189.5-12.1912.1891666667148.57578402782977.311.8956.8643.141.7675.8988.5-12.6112.6083333333158.97006944443075.891.8858.8241.181.7074.5177-2.492.49333333336.21671111113174.511.8760.7839.221.6574.3975.5-1.111.11166666671.23580277783274.391.8762.7537.251.5970.2074.5-4.314.30518.5330253370.201.8564.7135.291.5569.3572.5-3.153.15166666679.93300277783469.351.8466.6733.331.5067.3971.9-4.514.510833333320.34761736113567.391.8368.6331.371.4666.8071-4.204.201666666717.65400277783666.801.8270.5929.411.4266.6970-3.313.305833333310.92853402783766.691.8272.5527.451.3866.1168.5-2.392.39083333335.71608402783866.111.8274.5125.491.3462.5165.9-3.393.390833333311.49775069443962.511.8076.4723.531.3162.5064.9-2.402.40083333335.76400069444062.501.8078.4321.571.2861.5164-2.492.48666666676.18351111114161.511.7980.3919.611.2459.5762.5-2.932.93258.599556254259.571.7882.3517.651.2158.9160-1.091.091.18814358.911.7784.3115.691.1957.5658.5-0.940.93583333330.87578402784457.561.7686.2713.731.1657.2655.91.361.35583333331.83828402784557.261.7688.2411.761.1356.74551.741.73833333333.02180277784656.741.7590.209.801.1153.2451.51.741.74083333333.03050069444753.241.7392.167.841.0947.6946.51.191.19416666671.42603402784847.691.6894.125.881.0641.46410.460.46333333330.21467777784941.461.6296.083.921.0433.6830.53.183.17510.0806255033.681.5398.041.961.02C731.3033208333

ECM27.0426204506

smirnov kolmogorovLIMITES DE APLICABILIDAD: Smirnov kolmogorovmQ maximo anualLog(Q)pe%qe%Tiempo de retorno

1139.162.141.9698.0451.002131.092.123.9296.0825.503127.392.115.8894.1217.004127.082.107.8492.1612.755122.712.099.8090.2010.206117.732.0711.7688.248.507115.932.0613.7386.277.298111.722.0515.6984.316.389110.702.0417.6582.355.6710110.592.0419.6180.395.1011107.322.0321.5778.434.6412106.652.0323.5376.474.2513105.582.0225.4974.513.9214105.552.0227.4572.553.6415103.702.0229.4170.593.4016102.142.0131.3768.633.1917102.062.0133.3366.673.0018101.352.0135.2964.712.831999.622.0037.2562.752.682098.661.9939.2260.782.55METODO DE MOMENTOS2193.921.9741.1858.822.432291.891.9643.1456.862.32LIMITES DE APLICABILIDAD: Smirnov kolmogorov2388.101.9445.1054.902.222483.001.9247.0652.942.13AOSqe (m3/s)qo (m3/s)qe - qoI qe - qo I (m3/s) 2582.591.9249.0250.982.0498.2098.040.160.16078431372682.281.9250.9849.021.9696.0596.08-0.030.02843137252777.441.8952.9447.061.8994.9094.120.780.78235294122877.381.8954.9045.101.8293.2092.161.041.04313725492977.311.8956.8643.141.7692.1090.201.901.90392156863075.891.8858.8241.181.7088.3088.240.060.06470588243174.511.8760.7839.221.6586.8086.270.530.52549019613274.391.8762.7537.251.5984.3084.31-0.010.01372549023370.201.8564.7135.291.5582.4082.350.050.04705882353469.351.8466.6733.331.5081.0080.390.610.60784313733567.391.8368.6331.371.4679.0078.430.570.5686274513666.801.8270.5929.411.4278.9076.472.432.42941176473766.691.8272.5527.451.3875.5074.510.990.99019607843866.111.8274.5125.491.3472.3072.55-0.250.24901960783962.511.8076.4723.531.3171.0070.590.410.41176470594062.501.8078.4321.571.2870.0268.631.391.39254901964161.511.7980.3919.611.2467.5066.670.830.83333333334259.571.7882.3517.651.2164.4064.71-0.310.30588235294358.911.7784.3115.691.1962.8062.750.050.05490196084457.561.7686.2713.731.1661.5060.780.720.71568627454557.261.7688.2411.761.1359.8058.820.980.97647058824656.741.7590.209.801.1156.7056.86-0.160.1627450984753.241.7392.167.841.0954.2054.90-0.700.70196078434847.691.6894.125.881.0651.2052.94-1.741.74117647064941.461.6296.083.921.0450.2050.98-0.780.78039215695033.681.5398.041.961.0248.5049.02-0.520.519607843146.2047.06-0.860.858823529444.5045.10-0.600.598039215742.5043.14-0.640.63725490240.5041.18-0.680.676470588239.0039.22-0.220.215686274536.4037.25-0.850.854901960835.5035.290.210.205882352932.5033.33-0.830.833333333330.5031.37-0.870.872549019629.0029.41-0.410.411764705927.0027.45-0.450.450980392224.5025.49-0.990.990196078422.5023.53-1.031.029411764720.8021.57-0.770.76862745119.0019.61-0.610.607843137317.2017.65-0.450.447058823516.0015.690.310.313725490213.4013.73-0.330.325490196111.5011.76-0.260.264705882410.009.800.200.19607843146.507.84-1.341.34313725495.405.88-0.480.48235294123.703.92-0.220.22156862751.201.96-0.760.7607843137

Los datos no se ajustan a las funcion de densidad normal:2.4294117647

chiCHI Q:85.52S:89.413543851intervalo de claseMarca de ClaseFrecuencias AbsolutasFrecuencias relativasFrecuencia relativa cumuladaFrecuencia ComplementariaDecimalPorcentajeDecimal PorcentajeLsupZLsupF(ZLsup)LinfZLinfF(ZLinf)X2D33 - 494130.0660.0669441-0.500.309333-0.590.27851.541.3849 - 645790.18180.24247657-0.320.374949-0.410.34151.6732.1764 -7972120.24240.48485272-0.150.439964-0.240.40491.7560.0379 -948760.12120.66040870.020.506679-0.070.47091.789.9794 - 109102100.2200.880201020.180.5731940.090.53781.7738.37109 -12511760.12120.929281170.350.63761090.260.60361.7010.86125-14113340.088110001330.530.70231250.440.67061.593.68suma=501100156.45s1235946.091251329241864622085224541410201040407028213453270756

Datos estacion 3Descargas Medias mensuales Ro Chillon(m3/seg)ESTACION 3

AO ENEFESMARA8RMAYJUNJULAGOSETOCTNOVDICsumapromedio196035.2540.1334.9822.9213.829.748.617.517.359.6812.189.61211.7817.65196125.2743.4740.4235.4017.4511.868.698.018.128.9319.0641.30267.9822.33196243.6845.6766.9343.8416.5911.8211.2710.0810.2111.4215.2317.14303.8825.32196338.0549.6670.2843.1818.8612.9010.1610.5810.5811.4624.3640.93341.0028.42196426.7851.7672.7850.0122.8115.8013.3812.1011.8916.0219.9715.75329.0527.42196525.0142.3565.5024.2913.8211.5510.699.929.8410.3411.4114.08248.8020.73196633.9123.3338.0520.8414.5110.849.8010.029.7319.9919.1526.98237.1519.76196735.3292.2574.5132.0021.2717.1015.0513.3013.3621.6320.9522.70379.4431.62196828.1223.8537.9119.5712.3510.809.8410.5410.8614.3616.5516.73211.4817.62196913.2929.8737.9625.2412.0211.2610.148.638.0610.9312.6140.75220.7618.40197062.4842.5540.5035.7125.6319.9814.8813.2917.1217.5719.0328.40337.1428.10197137.9345.2371.9841.8620.7616.7313.5311.8111.2516.3514.7823.58325.7927.15197237.6432.81111.8576.8132.5316.3513.4912.4812.8115.3814.6730.16406.9833.92197354.2978.98109.7574.6734.1017.0214.6812.3514.2024.9823.4644.22502.7041.89197458.7676.5471.3152.1127.4717.9014.0313.2914.2415.7416.0716.69394.1532.85197542.0136.7584.8142.0224.5914.3811.019.8811.9316.5016.2818.07328.2327.35197643.7573.0377.3143.2217.8215.4513.5113.2113.1912.5813.3814.94351.3929.28197724.7150.6056.4127.5315.4812.2212.2511.4911.3412.3622.6824.98282.0523.50197827.3856.9532.0322.1214.0711.9111.8711.3211.6612.5919.4920.04251.4320.95197922.5345.9575.1048.1628.1713.9811.6311.0011.7313.4812.0314.29308.0525.67198033.6632.6035.8229.4211.747.468.377.258.9916.2417.9932.75242.2920.19198135.9674.8298.3924.0514.5110.288.4510.2010.3510.8215.9226.11339.8628.32198227.9260.9137.7239.2316.5811.038.178.3710.5713.1228.9235.30297.8424.82198355.9436.3660.6861.3223.088.989.689.599.3511.2314.3921.93322.5326.88198429.87100.88158.9184.7031.4013.9810.1110.5310.1419.9215.6141.24527.2943.94198527.3668.26136.5574.3536.8925.4118.0216.1818.2515.5711.8627.54476.2439.691986109.83107.44131.5692.1244.6614.2411.9312.3612.7413.1622.7725.52598.3349.86198767.87114.1860.2921.2712.7111.1211.4911.3912.6912.6519.1425.81380.6131.72198845.5082.4828.1052.1326.5311.079.908.509.7513.6413.9019.21320.7126.73198984.79113.57135.6568.8332.8725.1917.5212.6311.8821.0422.6512.12558.7446.56199040.5125.3833.4214.8412.1712.4211.2510.1110.7920.1133.0533.50257.5521.46199133.2139.71128.2327.2318.1912.0111.0310.6911.8017.5521.5216.57347.7428.98199221.8613.3925.2918.1811.1710.758.997.968.6711.3710.389.47157.4813.12DesvStand19.475939453927.371793194636.850241413521.06919655268.58041901834.09245927492.53997140432.00532746892.36506274343.8895596955.15687770749.9046416747103.40452428058.61704369MEDIA40.3256.1170.9442.1021.1113.7411.6210.8111.3814.8117.9224.50335.3527.95Varianza379.3122176136749.21506268941357.9402922348443.911043371273.623590530316.74822291676.45145473484.02133825765.593521780315.128674621226.593387689498.101926704510692.495641666774.253441956Varianza:74.253441956media:27.95desviacion estandar:8.61704369Vmx:49.86Vmin:13.12Curtosis0.6012125889Coef.de asimetria:0.8935314631

PROBABILIDAD EMPIRICA ESTACION 3P %: Probabilidad de ocurrenciaq %: Probabilidad de no ocurrenciaTr: Tiempo de retornomQ maximo anualLog(Q)pe%qe%Tiempo de retorno

149.861.704.1795.8324.00246.561.678.3391.6712.00343.941.6412.5087.508.00441.891.6216.6783.336.00539.691.6020.8379.174.80633.921.5325.0075.004.00732.851.5229.1770.833.43831.721.5033.3366.673.00931.621.5037.5062.502.671029.281.4741.6758.332.401128.981.4645.8354.172.181228.421.4550.0050.002.001328.321.4554.1745.831.851428.101.4558.3341.671.711527.421.4462.5037.501.601627.351.4466.6733.331.501727.151.4370.8329.171.411826.881.4375.0025.001.331926.731.4379.1720.831.262025.671.4183.3316.671.202125.321.4087.5012.501.142224.821.3991.678.331.092323.501.3795.834.171.042322.331.3595.834.171.042321.461.3395.834.171.042320.951.3295.834.171.042320.731.3295.834.171.042320.191.3195.834.171.042319.761.3095.834.171.042318.401.2695.834.171.042317.651.2595.834.171.042317.621.2595.834.171.042313.121.1295.834.171.04

Estacion 4Descargas Medias mensuales Ro Chillon(m3/seg)ESTACION 4

ANOENEFEBMARABRMAYJUNJULAGOSETOCTNOVDICsumapromedio

195617.8479.95132.3396.0625.7811.147.955.654.178.743.261.99394.8632.9119574.7945.16139.93122.3651.2214.578.976.255.314.216.705.52414.9934.58195819.2930.2496.9243.9322.378.875.584.313.333.831.802.01242.4820.2119591.7620.7896.9474.4537.5210.646.314.352.994.566.2811.07277.6523.14196024.3340.7367.9343.5719.228.675.813.733.123.142.982.66225.8918.82196117.9326.5648.2236.2317.868.665.263.553.232.953.176.22179.8414.99196234.2875.78116.0294.7626.189.426.664.964.774.074.113.17384.1832.0219634.346.1475.7673.1420.428.445.804.213.363.143.9710.37219.0918.26196417.8937.7565.4997.8328.8110.356.655.073.615.5210.434.09293.4924.4619655.4714.29112.6575.2630.1610.396.764.453.664.504.865.04277.4923.12196630.1022.9130.8413.8711.815.853.542.592.034.614.822.84135.8111.32196728.65134.26149.6228.6816.639.496.704.313.046.114.202.78394.4732.8719682.994.4014.339.383.072.241.691.281.323.802.562.1449.204.1019692.5812.8337.5459.0110.014.932.741.551.071.932.821.60138.6111.55197042.3116.8128.2629.7527.4511.275.763.553.475.208.0712.66194.5616.21197112.4129.82164.2892.1420.481.000.746.015.595.899.869.67357.8929.82197221.2127.93188.9557.8926.0114.397.975.596.076.766.9013.76383.4331.95197345.0941.5198.35233.1354.0520.1512.757.968.5512.4814.3915.97564.3847.03197425.9966.6267.8929.7213.208.826.674.734.627.716.428.12250.5120.88197514.6547.89180.2994.3327.2913.377.977.158.3117.4312.413.42434.5136.21197624.4356.1087.7846.2617.799.695.314.453.242.672.442.37262.5321.88197719.69144.3873.8666.0523.309.916.824.943.834.203.536.44366.9530.5819783.636.269.1712.4210.624.472.511.571.190.951.091.3955.274.6119792.8517.4489.4520.306.574.502.391.611.570.960.840.63149.1112.4319800.740.902.325.861.020.720.540.290.052.326.5027.1548.414.03198111.79112.0698.4930.9610.856.703.692.141.672.967.1312.12300.5625.05198210.4229.9315.8928.7611.714.222.281.581.517.3113.9655.95183.5215.29198350.9653.7268.90112.2956.3918.659.426.675.757.693.5411.89405.8733.82198411.32179.93138.1953.3351.0320.8711.285.744.777.906.0415.44505.8442.1519856.6611.5422.6715.927.254.673.733.003.252.551.087.0889.407.45198625.3937.1247.1856.1030.548.643.042.744.106.035.996.71233.5819.47198717.8479.95132.3396.0525.7811.147.955.654.178.743.261.99394.8532.90198819.2930.2496.9243.9322.378.875.584.313.333.831.802.01242.4820.21198910.2429.9315.8928.7611.714.222.281.581.517.3113.9655.95183.3415.2819906.6611.5422.6715.927.254.673.733.003.252.551.087.0889.407.45199125.3937.1247.1856.1030.548.643.042.744.106.035.996.71233.5819.4719926.6611.5422.6715.927.254.673.733.003.252.551.087.0889.407.45DesvStand12.666398983741.201250755551.23106156243.745943400114.02628422824.75191154842.81048986891.82340472871.82632575573.21806574623.790956244712.4923629703131.930061349510.9941717791MEDIA16.9744.1178.4957.0422.208.865.393.953.575.225.399.54260.7421.73Varianza156.58872077321651.88613338922573.23872487911866.6354439017193.178869850422.41501679437.86109702463.35428892363.325502282810.181495070614.0499723505152.070236645217371.759974193120.637222043Varianza:120.8718131089media:21.73desviacion estandar:10.9941717791Vmx:47.03Vmin:4.03Curtosis-0.5762245784Coef.de asimetria:0.2299276035PROBABILIDAD EMPIRICA ESTACION 4P %: Probabilidad de ocurrenciaq %: Probabilidad de no ocurrenciaTr: Tiempo de retornomQ maximo anualLog(Q)pe%qe%Tiempo de retorno

147.031.674.1795.8324.00242.151.628.3391.6712.00336.211.5612.5087.508.00434.581.5416.6783.336.00533.821.5320.8379.174.80632.911.5225.0075.004.00732.901.5229.1770.833.43832.871.5233.3366.673.00932.021.5137.5062.502.671031.951.5041.6758.332.401130.581.4945.8354.172.181229.821.4750.0050.002.001325.051.4054.1745.831.851424.461.3958.3341.671.711523.141.3662.5037.501.601623.121.3666.6733.331.501721.881.3470.8329.171.411820.881.3275.0025.001.331920.211.3179.1720.831.262020.211.3183.3316.671.202119.471.2987.5012.501.142219.471.2991.678.331.092318.821.2795.834.171.042418.261.26100.000.001.002516.211.21104.17-4.170.962615.291.18108.33-8.330.922715.281.18112.50-12.500.892814.991.18116.67-16.670.862912.431.09120.83-20.830.833011.551.06125.00-25.000.803111.321.05129.17-29.170.77327.450.87133.33-33.330.75337.450.87137.50-37.500.73347.450.87141.67-41.670.71354.610.66145.83-45.830.69364.100.61150.00-50.000.67374.030.61154.17-54.170.65

Estacion 5Descargas Medias mensuales Ro Chillon(m3/seg)ESTACION 5AO| ENEFEBMARABRMAYJUNJULAGOSETOCTNGVDICsumapromedio195610.4935.8570.1644.077.942.040.670.350.293.420.530.21176.0214.6719571.1320.7554.8767.2211.172.180.820.290.500.381.341.47162.1213.5119586.139.4235.0714.484.631.250.420.250.110.950.140.2273.076.0919590.115.4524.8848.7613.661.920.810.300.361.762.176.02106.208.8519607.7118.0530.7615.823.890.890.320.210.660.750.651.1080.816.7319619.255.0818.3416.107.582.230.500.140.070.170.993.1863.635.30196215.6331.8568.2352.627.422.310.750.360.240.251.070.27181.0015.0819630.410.6324.6228.426.570.790.340.170.060.271.457.2370.965.9119549.3116.5838.3259.1110.791.881.010.840.572.545.580.85147.3812.2819651.693.3937.0120.586.811.320.580.310.431.653.373.0180.156.68196630.2910.2011.459.945.940.880.370.180.182.993.940.8477.206.43196722.0495.2749.4213.095.931.430.800.340.233.421.200.73193.9016.1619680.681.107.754.790.500.230.130.100.232.161.580.8120.061.6719690.614.6227.6429.953.791.880.440.160.120.773.7212.6386.337.19197028.174.367.9824.1118.053.510.950.580.863.895.7410.43108.639.0519714.6910.0954.5829.135.471.991.081.051.283.982.354.61120.3010.0319729.778.9946.1226.046.483.111.010.590.330.610.904.82108.779.06197315.558.6028.2560.8732.745.613.931.481.974.336.105.17174.6014.55197410.4816.5015.5112.343.681.600.910.380.442.150.861.0765.925.4919757.5417.8859.9430.779.264.121.191.143.448.654.614.59153.1312.7619755.6310.1829.0513.606.253.250.850.430.380.200.160.3870.365.8619773.7553.5523.0111.263.571.380.680.540.330.400.322.30101.098.4219780.641.142.274.415.340.500.150.070.240.160.720.6316.271.3619791.637.1623.349.863.041.030.250.140.340.180.150.1347.253.9419800.180.211.022.690.290.100.070.060.043.967.1619.4035.182.9319813.5240.3524.5410.473.090.910.280.130.152.093.178.6897.388.1219822.5611.625.2115.545.781.010.270.140.111.843.057.7254.854.57198327.6314.2058.5341.7317.334.251.260.320.651.360.766.41174.4314.5419843.0442.1226.599.0212.036.711.981.010.630.470.300.75104.658.7219852.863.386.9711.513.751.150.290.211.902.181.511.8837.593.13198614.229.5713.0527.128.162.670.280.280.290.682.356.9785.647.14198710.4935.8570.1644.077.942.040.670.350.293.420.530.21176.0214.6719886.139.4235.0714.484.631.250.420.250.110.950.140.2273.076.0919892.5611.625.2115.545.781.010.270.140.111.843.057.7254.854.5719902.863.386.9711.513.751.150.290.211.902.181.511.8837.593.13199114.229.5713.0527.128.162.670.280.280.290.682.356.9785.647.1419922.863.386.9711.513.751.150.290.211.902.181.511.8837.593.13DesvStand8.164444733618.704701525520.573727648917.18666062115.80063328841.42021780680.67538933270.3272599870.73232352671.71757554881.86191484154.236509697250.16352213514.1802935113MEDIA8.0115.9828.7024.047.431.980.690.380.601.892.083.8895.677.97Varianza64.8571940736340.6050061171413.5762291689288.6356895332.80789245351.97086267060.44382975540.10427256920.52229654492.87109955743.374304974417.46636442562502.854131472717.3809314686Varianza:17.4748538403media:7.97desviacion estandar:4.1802935113Vmx:16.16Vmin:1.36Curtosis-0.78350774Coef.de asimetria:0.4907788031PROBABILIDAD EMPIRICA ESTACION 5P %: Probabilidad de ocurrenciaq %: Probabilidad de no ocurrenciaTr: Tiempo de retornomQ maximo anualLog(Q)pe%qe%Tiempo de retorno

116.161.214.1795.8324.00215.081.188.3391.6712.00314.671.1712.5087.508.00414.671.1716.6783.336.00514.551.1620.8379.174.80614.541.1625.0075.004.00713.511.1329.1770.833.43812.761.1133.3366.673.00912.281.0937.5062.502.671010.031.0041.6758.332.40119.060.9645.8354.172.18129.050.9650.0050.002.00138.850.9554.1745.831.85148.720.9458.3341.671.71158.420.9362.5037.501.60168.120.9166.6733.331.50177.190.8670.8329.171.41187.140.8575.0025.001.33197.140.8579.1720.831.26206.730.8383.3316.671.20216.680.8287.5012.501.14226.430.8191.678.331.09236.090.7895.834.171.04246.090.78100.000.001.00255.910.77104.17-4.170.96265.860.77108.33-8.330.92275.490.74112.50-12.500.89285.300.72116.67-16.670.86294.570.66120.83-20.830.83304.570.66125.00-25.000.80313.940.60129.17-29.170.77323.130.50133.33-33.330.75333.130.50137.50-37.500.73343.130.50141.67-41.670.71352.930.47145.83-45.830.69361.670.22150.00-50.000.67371.360.13154.17-54.170.65

Estacion6Descargas Medias mensuales Ro Chillon(m3/seg)ESTACION 6AO ENEFESMARA8RMAYJUNJULAGOSETOCTNOVDICsumapromedio192624.24132.7672928.53314.1298.84.0322.3962.742.8938.26614.032171.8314.32192738.32246.10749.41918.2839.5166.0663.9672.4512.486.58377.37197.5616.4619235.6837.06811.1615.8663.7542.9132.3772.3162.472.5292.673.71652.524.3819297.5356.92525.75811.83.7742.41323.474.2964.4594.483.41980.336.69193026.25818.50331.23213.72616.2155.1063.3743.2743.5354.3486.013.661135.2411.2719318.2749.67121.82512.1034.3672.7432.4382.4922.6462.723.06811.29983.656.97193223.48450.55129.2924.6247.9085.9714.6513.9574.1664.4916.65613.903179.6514.97193339.29674.82172.24347.17616.29210.1785.7684.5664.5984.2934.8416.841290.9124.24193432.25825.583.51632.259.2067.55.6324.2253.3795.6386.435.993221.5318.46193513.00620.64278.48329.510.07465.2964.5834.7565.1336.08615.322198.8816.57193642.9033724.30613.1167.4036.5264.3354.34.9465.2484.9465.99161.0213.4219373.39312.57125.54510.5534.7673.6162.5354.4295.336.0483.32613.22595.347.94193814.93543.80331.7929.9512.1126.3258.7735.5035.9735.5615.356.29176.3714.7019393.63839.08955.4034214.5569.367.1235.2925.2064.9585.0816.684198.3916.53194028.75116.31326.61614.8211.96110.9088.1785.6787.967.4037.7035.951152.2412.69194131.62946.67860.8229.5535.6354.943.7323.6453.733.7677.62610.371192.1316.01194219.30642.08935.67719.33312.9387.295.8515.4744.5874.6824.2557.48168.9614.08194363.03736.66967.1193.25811.5315.1495.6065.2166.2828.4083.2059.921315.3926.28194420.13630.73140.46526.37613.3194.9645.2114.0293.7594.4746.1886.816166.4713.87194511.34915.0218.83514.698.154.5983.4262.812.333.1423.35611.76799.478.29154620.9032443.06425.58315.8279.8714.6793.0872.9312.8765.72617.422175.9714.66194720.03236.39241.0419.469.1036.1433.8663.0872.8765.7625.49511.924165.1813.77194842.14531.63732.88724.73310.177.6135.4634.9096.14310.0337.1295.109187.9715.66194912.16818.62746.00526.1265.6755.3615.2364.3414.033.9866.893.48141.9311.83195055.53418.96816.52316.99610.7798.0225.1833.415.3835.3834.57116.248167.0013.92195117.07547.82269.32129.44912.5095.4354.7063.2083.1824.63534.28113.88245.5020.46195239.10952.21151.54736.68912.0366.9744.2433.2844.8774.9936.0910.935232.9919.42195322.18683.39447.89222.68610.775.6124.7783.9324.4944.3311.83714.299236.2119.68195435.93445.34963.56514.5879.5556.7134.5314.6175.7426.2929.4815.918212.2817.69195515.29543.77249.41921.07711.5617.1845.1044.8025.1815.7775.3575.627180.1615.0119568.83826.98427.29126.42813.1645.7194.6434.4614.5954.975.2895.441137.8211.4919576.71527.75825.13621.918.2384.7653.8793.543.7414.0324.9156.711121.3410.11195811.47223.98935.92210.8646.794.813.8763.73.3124.4464.0635.216118.469.8719595.13636.69936.7635.8359.9725.2214.414.1533.6845.2445.67218.522171.3114.28196025.92130.99534.64913.4776.924.8184.4364.3614.5395.0926.1145.923147.2512.27196121.98956.82239.547.78311.5495.2285.1344.9014.7134.83411.48540.326254.2621.19196235.55131.8559.06326.90311.2746.3765.5835.1234.8155.1445.9136.673204.2717.02196324.77953.45732.61432.6189.7555.9256.7585.4345.0685.1610.20723.995215.7717.98196411.11636.75469.56741.68512.9777.8935.7765.9335.4066.268.0226.871218.2618.19196513.40237.00697.35119.9528.716.5355.5455.2044.7234.8075.84617.573226.6518.89196616.59913.92924.50610.7056.4514.9694.0483.4643.1758.929.50319.484125.7510.48196734.426135.475113.57220.75710.9797.0695.9155.5095.2987.7686.7697.743361.2830.11196812.8811.04422.37312.0064.5054.1754.1444.0243.7435.1327.6577.32199.008.2519696.92312.11252.28428.2876.1044.33.8763.7023.3564.3974.36133.985163.6913.64197085.50626.89424.20817.83612.5058.8345.7874.6877.1835.5257.01513.693219.6718.31197125.93836.5550.19125.758.3026.9535.9545.575.1674.9865.8969.962191.2215.93197231.21736.667219.39839.67415.43610.3257.1876.8886.1146.0136.45716.383401.7633.48197345.16547.64372.17443.72717.91710.1697.3136.7967.69.1629.04724.96301.6725.14197439.76358.19761.66924.91812.5889.4627.7447.3125.9855.0195.5675.633243.8620.32197515.16716.21860.06818.39510.1437.3325.5565.4565.4615.7256.1287.943163.5913.63197622.98247.14142.75220.669.5617.4196.1915.6215.9764.9684.916.558184.7415.39197711.03651.77445.48519.7133.3385.2795.4724.3734.3264.39610.38210.754176.3314.69197310.03131.55620.85613.2946.3885.3984.4074.3424.944.5816.478.047120.3110.0319796.63126.2551.19913.2946.1926.1264.824.7683.8883.7564.0024.67135.6011.30198020.5219.89419.85414.7656.526.1894.1263.9033.8946.6196.62712.446115.369.61198115.63965.19368.98725.9267.9646.9485.65521.1975.2555.9418.00411.573248.2820.69198214.63448.40122.93818.4888.7976.6255.6335.6855.2435.46916.96415.522174.4014.53198326.94551.39447.03639.0199.2665.2514.8354.5134.2044.1974.96111.476213.1017.76198473.80662.94548.90422.58812.5849.2716.5565.8145.3136.597.56313.628275.5622.9619859.19918.07339.05820.07712.5788.4696.5755.9135.9096.6155.39611.407149.2712.44198630.15235.67546.92235.33819.1979.2256.4715.6995.6795.4045.78615.371220.9218.41198744.45148.91326.19610.1396.7664.9985.0385.8225.4055.045.56110.354178.6814.89198821.16539.48317.42327.48412.6766.3385.3334.8195.7995.4965.2266.345157.5913.13198927.24357.34145.97732.87315.48910.5025.7675.1355.0475.5153.5143.992218.4018.20199010.1027.1759.2585.334.314.3983.8852.8513.676.07916.80411.76885.637.14199114.25518.24333.49610.588.1965.5795.2424.3933.9494.4776.8435.318120.5710.0519928.064.62114.689.354.0593.1283.0332.5752.9374.12.633.0962.265.1919937.38922.19132.9819.5710.946.3314.7053.2164.014.1915.07825.972156.5713.05199434.1346.76733.13725.82918.0549.455.665.0914.4796.246.557.756203.1416.93DesvStand16.329960203921.115843760629.619972213513.23232293333.78188653351.99693100031.3243950332.30757830411.21147156471.41592062284.37883209196.972857884965.25345533895.4377879449MEDIA23.5535.7245.0023.7510.046.495.064.714.605.266.9910.95182.1315.18Varianza266.6676002609445.8788577229877.3427539288175.094370212314.30266575233.98773341991.75402220335.32491762961.46766335212.004831210119.174170488948.62074708314258.01343366529.5695377338Varianza:29.5695377338media:15.18desviacion estandar:5.4377879449Vmx:13.63Vmin:14.53Curtosis1.5059178271Coef.de asimetria:0.7572791717PROBABILIDAD EMPIRICA ESTACION 6P %: Probabilidad de ocurrenciaq %: Probabilidad de no ocurrenciaTr: Tiempo de retornomQ maximo anualLog(Q)pe%qe%Tiempo de retorno

133.481.524.1795.8324.00230.111.488.3391.6712.00326.281.4212.5087.508.00425.141.4016.6783.336.00524.241.3820.8379.174.80622.961.3625.0075.004.00721.191.3329.1770.833.43820.691.3233.3366.673.00920.461.3137.5062.502.671020.321.3141.6758.332.401119.681.2945.8354.172.181219.421.2950.0050.002.001318.891.2854.1745.831.851418.461.2758.3341.671.711518.411.2762.5037.501.601618.311.2666.6733.331.501718.201.2670.8329.171.411818.191.2675.0025.001.331917.981.2579.1720.831.262017.761.2583.3316.671.202117.691.2587.5012.501.142217.021.2391.678.331.092316.931.2395.834.171.042416.571.22100.000.001.002516.531.22104.17-4.170.962616.461.22108.33-8.330.922716.011.20112.50-12.500.892815.931.20116.67-16.670.862915.661.19120.83-20.830.833015.391.19125.00-25.000.803115.011.18129.17-29.170.773214.971.18133.33-33.330.753314.891.17137.50-37.500.733414.701.17141.67-41.670.713514.691.17145.83-45.830.693614.661.17150.00-50.000.673714.531.16154.17-54.170.653814.321.16158.33-58.330.633914.281.15162.50-62.500.624014.081.15166.67-66.670.604113.921.14170.83-70.830.594213.871.14175.00-75.000.574313.771.14179.17-79.170.564413.641.13183.33-83.330.554513.631.13187.50-87.500.534613.421.13191.67-91.670.524713.131.12195.83-95.830.514813.051.12200.00-100.000.504912.691.10204.17-104.170.495012.441.09208.33-108.330.485112.271.09212.50-112.500.475211.831.07216.67-116.670.465311.491.06220.83-120.830.455411.301.05225.00-125.000.445511.271.05229.17-129.170.445610.481.02233.33-133.330.435710.111.00237.50-137.500.425810.051.00241.67-141.670.415910.031.00245.83-145.830.41609.870.99250.00-150.000.40619.610.98254.17-154.170.39628.290.92258.33-158.330.39638.250.92262.50-162.500.38647.940.90266.67-166.670.38657.140.85270.83-170.830.37666.970.84275.00-175.000.36676.690.83279.17-179.170.36685.190.72283.33-183.330.35694.380.64287.50-187.500.35

Estacion 7Descargas Medias mensuales Ro Chillon(m3/seg)ESTACION 7aoENEFEBMARABRIMAYJUNJULAGOSETOCTNOVDICQXpromX-SX+S195518.6224.5291.8872.099.660.160.541.337.523.927.628.3148.8122.5290.99154.05195619.7238.8248.5702.9107.059.893.540.036.723.927.527.4135.5122.5290.99154.05195717.0231.2252.5134.6109.770.7105.239.635.623.927.327.489.6122.5290.99154.05195818.0254.5328.0863.8221.280.767.039.235.623.726.827.4165.5122.5290.99154.05195921.8262.7289.9698.8271.8112.452.338.735.523.227.027.2155.1122.5290.99154.05196022.2282.1250.8259.8346.173.451.439.234.522.926.230.1119.9122.5290.99154.05196157.1190.1252.8292.0243.864.434.539.634.324.224.045.4108.5122.5290.99154.05196248.4295.5250.5308.070.663.451.740.434.324.122.844.8104.5122.5290.99154.05196328.6271.4280.7279.991.463.354.140.433.524.021.844.7102.8122.5290.99154.05196430.3232.7345.7204.5106.865.253.740.833.424.024.944.1100.5122.5290.99154.05196534.0187.1295.1241.5123.6126.954.141.533.723.425.745.9102.7122.5290.99154.05196648.9168.1321.464.4137.1204.462.342.737.222.025.547.098.4122.5290.99154.05196737.2178.9340.884.2144.8201.5106.145.736.025.625.447.8106.2122.5290.99154.05196833.2203.2325.182.9155.7135.6110.146.138.226.418.048.0101.9122.5290.99154.05196964.9261.4302.286.5171.4201.956.746.134.326.222.847.0110.1122.5290.99154.05197079.9229.3299.086.9179.5117.854.646.033.127.722.647.6102.0122.5290.99154.05197174.5196.9277.786.7179.384.054.643.832.428.127.647.094.4122.5290.99154.05197241.4186.5247.584.6178.465.372.743.533.328.628.244.387.9122.5290.99154.05197343.3184.8217.378.5177.364.4113.042.833.828.729.144.088.1122.5290.99154.05197462.2174.5272.073.7176.564.3157.242.133.928.727.552.897.1122.5290.99154.05197554.5215.5349.678.8175.6105.2184.442.134.328.728.334.7111.0122.5290.99154.05197638.7270.0443.077.9135.9232.9131.342.133.928.729.843.2125.6122.5290.99154.05197740.9240.7494.380.885.0269.590.342.134.328.732.542.9123.5122.5290.99154.05197888.7252.5459.786.175.8250.461.142.134.728.632.443.1121.3122.5290.99154.05197965.6363.9643.490.377.7194.948.341.328.528.132.442.5138.1122.5290.99154.05198075.5436.31153.391.2131.2150.047.240.628.728.732.042.5188.1122.5290.99154.05198152.5388.81248.096.6198.263.043.040.429.228.631.642.7188.6122.5290.99154.05198242.5297.91249.5102.1141.278.542.742.928.928.131.742.4177.4122.5290.99154.051983217.4287.11216.0108.160.9127.641.840.424.328.131.742.0185.5122.5290.99154.051984167.91091.9107.461.0125.341.340.423.628.129.842.1146.6122.5290.99154.051985230.1470.3386140.441.128.14276.1122.5290.99154.05

MEDIA60.47250.32496.82151.24149.87127.1371.9442.0732.7626.6227.3643.30122.52DESV. EST.42.7864.44341.48239.7965.5064.6136.722.113.512.363.637.3731.53VARIANZA1830.154152.28116608.9257500.454290.384174.111348.514.4512.315.5513.2154.32994.24

METODO SPIGEL

IC =10

INTERVALOMARCA FRECUENCIAFRECUENCIAFRECUENCIADE CLASEDE CLASEABSOLUTARELATIVAACUMULADA12Q(m3/s)Q(m3/s)DECIMAL%DECIMAL%37.5-57.175-114.294.610.0050.5360.0050.53699.46475-114024.1-79.651.960.0323.2170.0383.75396.24724-8010079.6-8079.8100.0545.3620.0919.11590.88580-8080-80.780.420.0111.0720.10210.18889.81280-8180.7-81.981.320.0111.0720.11311.26088.74081-8281.9-84.983.430.0161.6090.12912.86987.13182-8584.9-85.385.120.0111.0720.13913.94186.05985-8585.3-85.385.310.0050.5360.14514.47785.52385-8585.3-85.285.310.0050.5360.15015.01384.98785-8585.2-124.4104.830.0161.6090.16616.62283.37885-124TOTAL310.16616.622

QmaxQmin