39
PRUEBA DE BONDAD DE AJUSTE SMIRNOV - KOLMOGOROV (DISTRIBUCION NORMAL) PRUEBA DE BONDAD DE AJUSTE CON DISTRIBUCION GUMBEL PRUEBA DE BONDAD DE AJUSTE CON DISTRIBUCION LOG-NORMAL DE 2 PARÁMETROS Gráfica Nº 1Precipitación Total Anual Grafica Nº 2 Precipitación Promedio Mensual ( ) ( ) AjusteB ueno Informaciónconfiable Ajuste No Bueno I nformaciónno confiable

ESTACION PUCARA Y EL LIMON.xlsx

Embed Size (px)

Citation preview

Prec Total MensTABLA N 1PRECIPITACION TOTAL MENSUAL

ESTACION :PUCARALAT :0602'30''DPTO :CAJAMARCAPRUEBA DE BONDAD DE AJUSTE SMIRNOV - KOLMOGOROV (DISTRIBUCION NORMAL)LONG :7908'02''PROV :JAENCATEGORIA:"PLU"ALT :1061.6 m.s.n.mDIST :PUCARATabla N 2AoEneroFebreroMarzoAbrilMayoJunioJulioAgostoSeptiembreOctubreNoviembreDiciembrePrec. total anualPrec. Total AnualmPrec. Total Anual (x)P(x)=m/(N+1)Z=x-media/SF(Z)=IF(Z)-P(x)I(x-media)^2critComparacinTabla N 3199134.0141.0100.0128.032.00.01.00.00.08.04.063.3511.30511.31257.70.05882-2.236660.012650.04617109172.420160.328Ajuste buenoCOMPARACIN199449.272.1136.0131.030.68.00.51.744.46.657.443.5581.0058124280.11765-1.083850.139220.0215725636.012660.328Ajuste bueno199623.849.7101.275.913.516.20.01.413.160.750.222.3428.004283447.50.17647-0.951850.170590.0058819771.875160.328Ajuste buenomax0.09546199740.366.08.744.79.211.34.81.42.923.736.78.0257.70257.74461.50.23529-0.857080.195700.0395916030.725160.328Ajuste buenocrit199835.069.2175.3145.844.513.70.010.170.089.148.835.9737.40737.45511.30.29412-0.519970.301540.007435900.160160.328Ajuste buenosi:199986.0148.577.255.482.130.66.90.882.229.940.388.9728.80728.86521.30.35294-0.452270.325540.027414463.910160.328Ajuste bueno0.052001121.069.1139.325.666.23.911.00.049.486.871.655.7699.60699.67543.60.41176-0.301320.381590.030181981.362660.328Ajuste buenoN16200233.040.429.285.524.65.123.50.02.599.870.647.3461.50461.585810.47059-0.048150.480800.0102150.587660.328Ajuste buenocrit0.328200318.957.687.133.329.124.43.02.512.277.254.947.3447.50447.59612.10.529410.162380.564500.03508575.400160.328Ajuste buenomax < critTabla N 4200424.727.113.9137.848.34.011.20.048.296.191.1109.7612.10612.110655.80.588240.458200.676590.088364581.597660.328Ajuste buenoInformacin Confiable(Ajuste Bueno)TIEMPO DE RETORNO DISTRIBUCIN NORMAL20059.9112.5171.232.514.36.80.111.018.750.217.199.3543.60543.611684.30.647060.651120.742520.095469252.035160.328Ajuste buenoTiempo de retorno1/TProbabilidad200768.427.3123.792.861.61.19.712.57.7159.6233.839.9838.10838.112699.60.705880.754690.774780.0689012429.462660.328Ajuste bueno(AOS)P(Xx)=F(Z)=1-(1/T)Despejando X (precipitacion Total Anual en mm)2009144.979.3144.695.37.78.96.49.76.273.344.235.3655.80655.813701.80.764710.769580.779230.0145212924.847660.328Ajuste bueno100.10.9777.431201012.2131.2114.655.816.34.10.33.112.661.923.485.8521.30521.314728.80.823530.952360.829540.0060119792.972660.328Ajuste bueno250.040.96846.734201139.778.470.9145.250.02.34.21.021.9100.854.9115.0684.30684.315737.40.882351.010570.843890.0384622286.757660.328Ajuste bueno500.020.98891.504201292.899.2113.7103.413.43.82.21.02.6116.686.266.9701.80701.816838.10.941181.692240.954700.0135262493.750160.328Ajuste bueno750.01333333330.9866666667915.527Prec. promedio mensual52.179.3100.486.834.09.05.33.524.771.361.660.3588.11sumatoria9409.8327343.877501000.010.99931.774media=588.1125desviacion147.72584PRUEBA DE BONDAD DE AJUSTE CON DISTRIBUCION GUMBELTabla N 5Prec. Total AnualmPrec. Total Anual (x)P(x)=m/(N+1)Y=(x-u)/=IG(y)-P(x) I(x-media)^2critComparacin511.31257.70.05882-2.290590.000050.05877109172.420160.328Ajuste bueno58124280.11765-0.812630.105000.0126525636.012660.328Ajuste bueno4283447.50.17647-0.643390.149130.0273419771.875160.328Ajuste bueno257.74461.50.23529-0.521890.185400.0498916030.725160.328Ajuste bueno737.45511.30.29412-0.089700.334930.040815900.160160.328Ajuste bueno728.86521.30.35294-0.002910.366810.013874463.910160.328Ajuste bueno699.67543.60.411760.190620.437600.025841981.362660.328Ajuste bueno461.585810.470590.515200.550250.0796650.587660.328Ajuste bueno447.59612.10.529410.785100.633770.10436575.400160.328Ajuste bueno612.110655.80.588241.164350.731890.143664581.597660.328Ajuste bueno543.611684.30.647061.411690.783700.136649252.035160.328Ajuste bueno838.112699.60.705881.544480.807810.1019312429.462660.328Ajuste buenoTabla N 7655.813701.80.764711.563570.811080.0463812924.847660.328Ajuste buenoTIEMPO DE RETORNO DISTRIBUCIN DE GUMBELGRAFICA N 3521.314728.80.823531.797890.847340.0238219792.972660.328Ajuste buenoTiempo de retorno1/TProbabilidad684.315737.40.882351.872530.857500.0248522286.757660.328Ajuste buenoP(Xx)=G(Y)=1-(1/T)YDespejando X (precipitacion Total Anual en mm)701.816838.10.941182.746460.937860.0033262493.750160.328Ajuste bueno100.10000.90002.2504780.937sumatoria9409.8u521.63587327343.87750250.04000.96003.1985890.191media=588.1125115.22616Desviacion147.72584500.02000.98003.9019971.241750.01330.98674.31081018.3511000.01000.99004.60011051.693

Tabla N 6media588.11250max0.14366Comparacin Datos que se ajustan a unaDesviacin147.72584critmax < crit distribucin gumbelu521.63587si:115.226160.05N16crit0.328

588.1125147.7258446131

Tabla n 8PRUEBA DE BONDAD DE AJUSTE CON DISTRIBUCION LOG-NORMAL DE 2 PARMETROS

Prec. Total AnualmPrec. Total Anual (x)P(x)=m/(N+1)Y=lnxF(Z)=IF(Z)-P(x) I(x-media)^2critComparacin511.31257.70.058825.55180-3.212120.000660.05816109172.420160.328Ajuste bueno58124280.117656.05912-1.161100.122800.0051525636.012660.328Ajuste bueno4283447.50.176476.10368-0.980980.163300.0131719771.875160.328Ajuste bueno257.74461.50.235296.13448-0.856440.195880.0394216030.725160.328Ajuste bueno737.45511.30.294126.23696-0.442160.329190.035075900.160160.328Ajuste bueno728.86521.30.352946.25633-0.363850.357980.005044463.910160.328Ajuste bueno699.67543.60.411766.29821-0.194510.422890.011121981.362660.328Ajuste bueno461.585810.470596.364750.074490.529690.0591050.587660.328Ajuste bueno447.59612.10.529416.416900.285300.612290.08288575.400160.328Ajuste bueno612.110655.80.588246.485860.564090.713650.125424581.597660.328Ajuste buenoTabla N 10543.611684.30.647066.528400.736070.769160.122109252.035160.328Ajuste bueno838.112699.60.705886.550510.825470.795450.0895612429.462660.328Ajuste buenoTIEMPO DE RETORNO DISTRIBUCIN log-normal 2 parmetros655.813701.80.764716.553650.838160.799030.0343212924.847660.328Ajuste buenoTiempo de retorno1/TProbabilidadUtilizamos dist normal inversa521.314728.80.823536.591400.990780.839100.0155719792.972660.328Ajuste buenoP(Xx)=F(Z)=1-(1/T)Despejando Y= ln(X) Despejando X (precipitacion Total Anual en mm)684.315737.40.882356.603131.038200.850410.0319422286.757660.328Ajuste bueno100.10000.90006.6633783.149701.816838.10.941186.731141.555710.940110.0010762493.750160.328Ajuste bueno250.04000.96006.7794879.511sumatoria9409.8327343.87750500.02000.98006.8543947.976media=588.1125Desviacion147.72584750.01330.98676.8946986.8841000.01000.99006.92181014.101

tabla n 9media588.11250max0.12542Desviacin147.72584crit0.06118si:0.247350.056.34633N160.25119crit0.328max < critInformacin Confiable(Ajuste Bueno)

Como la informacin es confiable, entonces calculamos sus tiempos de retornoComo la informacin es confiable, entonces calculamos sus tiempos de retornoComo la informacin es confiable, entonces calculamos sus tiempos de retorno

Prec Max en 24 hrsTabla n 11PRECIPITACION MAXIMA EN 24 HORAS

ESTACION :PUCARALAT :0602'30''DPTO :CAJAMARCALONG :7908'02''PROV :JAENPRUEBA DE BONDAD DE AJUSTE SMIRNOV - KOLMOGOROVCATEGORIA:"PLU"ALT :1061.6 m.s.n.mDIST :PUCARATabla N 12

Ao/MesEneroFebreroMarzoAbrilMayoJunioJulioAgostoSeptiembreOctubreNoviembreDiciembreMaxP Mx 24 hmP mx 24 h (x)P(x)=m/(N+1)Z=x-media/SF(Z)=IF(Z)-P(x)I(x-media)^2critComparacin199112.025.020.025.011.00.01.00.00.08.04.020.025.0251120.05556-2.209990.013550.042001093.663810.318Ajuste buenoTabla N 13tabla N 14199412.214.231.830.49.87.00.51.123.32.510.310.831.831.82250.11111-1.341250.089920.02119402.828510.318Ajuste buenoCOMPARACIN19969.510.440.722.14.510.30.01.310.320.720.711.840.740.7331.80.16667-0.886830.187590.02092176.108510.318Ajuste buenoTIEMPO DE RETORNO DISTRIBUCIN NORMAL199710.412.05.711.74.43.64.01.42.77.510.12.612.012431.80.22222-0.886830.187590.03464176.108510.318Ajuste buenomax0.07605Tiempo de retorno1/TProbabilidad199817.250.430.230.520.47.90.05.360.140.830.311.860.160.1537.60.27778-0.499230.308810.0310355.809690.318Ajuste buenocrit(Aos)P(Xx)=F(Z)=1-(1/T)Despejando X (precipitacion mx 24 hen mm)199937.632.020.610.928.27.12.10.720.66.526.530.437.637.6639.80.33333-0.352220.362340.0290127.779100.318Ajuste buenosi:100.10.964.248200020.570.510.135.914.110.21.84.620.52.610.412.770.570.5740.60.38889-0.298750.382560.0063219.986160.318Ajuste bueno0.05250.040.9671.268200150.655.850.011.040.32.15.10.020.950.632.814.955.855.8840.70.44444-0.292070.385120.0593319.102040.318Ajuste buenoN17500.020.9875.803200219.68.314.630.218.44.510.10.01.340.617.811.440.640.6945.10.500000.001970.500780.000780.000870.318Ajuste buenocrit0.318750.01330.986778.236200311.324.330.210.210.610.52.22.510.161.330.120.961.361.31050.10.555560.336100.631600.0760525.294980.318Ajuste buenomax < crit1000.010.9979.882200410.720.010.950.110.42.47.90.031.420.428.340.150.150.11150.20.611110.342780.634120.0230126.310870.318Ajuste buenoInformacin Confiable(Ajuste Bueno)20054.050.240.220.99.13.20.110.311.612.010.322.750.250.21253.10.666670.536580.704220.0375564.471450.318Ajuste bueno200747.210.244.021.816.51.13.17.85.345.660.726.460.760.71355.80.722220.717010.763320.04109115.120280.318Ajuste bueno200953.117.728.925.33.52.83.18.12.539.711.720.453.153.11460.10.777781.004360.842400.06462225.883220.318Ajuste bueno20107.138.045.112.58.23.60.32.27.142.69.227.645.145.11560.70.833331.044460.851860.01853244.278510.318Ajuste bueno201120.623.425.430.415.80.63.30.89.231.822.023.131.831.81661.30.888891.084560.860940.02795263.393810.318Ajuste bueno201211.921.030.439.812.61.70.80.51.028.327.624.739.839.81770.50.944441.699360.955370.01093646.654980.318Ajuste buenoMax53.170.550.050.140.310.510.110.360.161.360.740.1sumatoria766.23582.79529media=45.0706desviacion14.9641

Grafica N 6

Grafica N 445.070588235314.9641139358

Tabla N 15PRUEBA DE BONDAD DE AJUSTE CON DISTRIBUCION GUMBELTabla n 17P Mx 24 hmP mx 24 h (x)P(x)=m/(N+1)Y=(x-u)/=IG(y)-P(x) I(x-media)^2critComparacin251120.05556-2.256400.000070.055481093.663810.318Ajuste buenoTIEMPO DE RETORNO MEDIANTE DISTRIBUCIN DE GUMBEL31.82250.11111-1.142630.043500.06761402.828510.318Ajuste buenoTiempo de retorno1/TProbabilidad40.7331.80.16667-0.560040.173650.00698176.108510.318Ajuste bueno(Aos)P(Xx)=G(Y)=1-(1/T)Ydespejando X(precipitacin mx 24h en mm)12431.80.22222-0.560040.173650.04858176.108510.318Ajuste bueno100.10.92.2503764.60360.1537.60.27778-0.063120.344670.0669055.809690.318Ajuste bueno250.040.963.1985375.67037.6639.80.333330.125370.413880.0805527.779100.318Ajuste bueno500.020.983.9019483.88070.5740.60.388890.193910.438790.0499019.986160.318Ajuste bueno750.01330.98674.3107888.65255.8840.70.444440.202470.441880.0025619.102040.318Ajuste bueno1000.010.994.6001592.03040.6945.10.500000.579440.571090.071090.000870.318Ajuste bueno61.31050.10.555561.007820.694190.1386325.294980.318Ajuste bueno50.11150.20.611111.016390.696350.0852426.310870.318Ajuste bueno50.21253.10.666671.264840.754060.0873964.471450.318Ajuste bueno60.71355.80.722221.496170.799330.07710115.120280.318Ajuste bueno53.11460.10.777781.864570.856450.07867225.883220.318Ajuste bueno45.11560.70.833331.915970.863120.02979244.278510.318Ajuste bueno31.81661.30.888891.967380.869510.01938263.393810.318Ajuste bueno39.81770.50.944442.755590.938410.00604646.654980.318Ajuste buenosumatoria766.23582.79529media=45.0706desviacion14.9641

Grafica N 5media45.0706max0.13863Comparacin Datos que se ajustan a unaDesviacin14.9641critmax < crit distribucin gumbelu38.3367si:11.67200.05N17crit0.318

Tabla N 18

PRUEBA DE BONDAD DE AJUSTE CON DISTRIBUCION LOG-NORMAL DE 2 PARMETROS

P Mx 24 hmP mx 24 h (x)P(x)=m/(N+1)Y=lnxF(Z)=IF(Z)-P(x) I(x-media)^2critComparacin251120.055562.48491-3.930550.000040.055511093.663810.318Ajuste bueno31.82250.111113.21888-1.660830.048370.06274402.828510.318Ajuste bueno40.7331.80.166673.45947-0.916830.179620.01295176.108510.318Ajuste bueno12431.80.222223.45947-0.916830.179620.04261176.108510.318Ajuste bueno60.1537.60.277783.62700-0.398730.345040.0672755.809690.318Ajuste buenoTabla N 2037.6639.80.333333.68387-0.222890.411810.0784827.779100.318Ajuste bueno70.5740.60.388893.70377-0.161350.435910.0470219.986160.318Ajuste buenoTIEMPO DE RETORNO MEDIANTE DISTRIBUCIN LOG-NORMAL 2 PARMETROS55.8840.70.444443.70623-0.153740.438910.0055419.102040.318Ajuste buenoTiempo de retorno1/TProbabilidadUtilizamos dist normal inversa40.6945.10.500003.808880.163700.565020.065020.000870.318Ajuste bueno(Aos)P(Xx)=F(Z)=1-(1/T)Despejando Y= ln(X) X(precipitacin mx 24 h en mm)61.31050.10.555563.914020.488830.687520.1319725.294980.318Ajuste bueno100.10.94.170464.73950.11150.20.611113.916020.495000.689700.0785926.310870.318Ajuste bueno250.040.964.322175.34550.21253.10.666673.972180.668680.748150.0814864.471450.318Ajuste bueno500.020.984.420183.10260.71355.80.722224.021770.822050.794480.07225115.120280.318Ajuste bueno750.01330.98674.472787.58953.11460.10.777784.096011.051620.853510.07573225.883220.318Ajuste bueno1000.010.994.508290.76145.11560.70.833334.105941.082340.860450.02711244.278510.318Ajuste bueno31.81661.30.888894.115781.112750.867090.02180263.393810.318Ajuste bueno39.81770.50.944444.255611.545170.938850.00560646.654980.318Ajuste buenosumatoria766.23582.79529media=45.0706desviacion14.9641

Tabla N 19

media45.0706max0.13197Desviacin14.9641crit0.1046si:0.32340.053.7559N170.3320crit0.318max < critInformacin Confiable(Ajuste Bueno)

Como la informacin es confiable, entonces calculamos sus tiempos de retornoComo la informacin es confiable, entonces calculamos sus tiempos de retornoComo la informacin es confiable, entonces calculamos sus tiempos de retorno

prec,med.mesTabla N 21PRECIPITACION MEDIA MENSUAL

ESTACION :PUCARLAT :0555'05''DPTO :CAJAMARCATabla N 22LONG :7919'03''PROV :JAENPRUEBA DE BONDAD DE AJUSTE SMIRNOV - KOLMOGOROVCATEGORIA:"CO"ALT :1132.6 m.s.n.mDIST :POMAHUACATabla N 24Prec. anual promediomPrec. anual promedio (x)P(x)=m/(N+1)Z=x-media/SF(Z)=IF(Z)-P(x)I(x-media)^2critComparacinTabla N 23Ao/mesEneroFebreroMarzoAbrilMayoJunioJulioAgostoSeptiembreOctubreNoviembreDiciembrePrec. anual promedio2.011.40.08333-1.576880.057410.025920.214960.391Ajuste buenoCOMPARACINTIEMPO DE RETORNO MEDIANTE DISTRIBUCIN NORMAL19992.85.12.51.82.61.00.20.02.71.01.32.92.01.821.50.16667-1.236770.108090.058580.132230.391Ajuste buenoTiempo de retorno1/TProbabilidad20001.65.02.24.21.81.40.10.32.00.10.72.61.81.931.50.25000-1.095060.136750.113250.103660.391Ajuste buenomax0.1133(Aos)P(Xx)=F(Z)=1-(1/T)Despejando X (precipitacion Anual Promedio en mm)20013.92.44.50.92.10.10.40.01.62.82.41.81.91.441.70.33333-0.443180.328820.004510.016980.391Ajuste buenocrit100.10.92.19020022.01.40.92.90.80.20.80.00.13.22.41.51.41.751.80.416670.066990.526710.110040.000390.391Ajuste buenosi:250.040.962.32820040.81.00.54.61.60.10.40.01.63.13.03.51.71.561.90.500000.208710.582660.082660.003770.391Ajuste bueno0.05500.020.982.41720050.33.95.51.10.50.20.00.40.61.60.63.21.52.371.90.583330.322080.626300.042970.008970.391Ajuste buenoN11750.01330.98672.46520072.20.94.03.12.00.00.30.40.35.17.81.32.32.281.90.666670.378760.647570.019100.012400.391Ajuste buenocrit0.3911000.010.992.49820082.25.63.92.50.91.00.20.60.34.53.01.22.21.592.00.750000.605500.727580.022420.031690.391Ajuste buenomax < crit20100.44.73.71.90.50.10.00.10.42.00.82.81.51.9102.20.833331.172360.879470.046140.118820.391Ajuste buenoInformacin Confiable(Ajuste Bueno)20111.32.82.34.81.60.10.10.00.73.31.83.71.91.9112.30.916671.597500.944920.028260.220620.391Ajuste bueno201233.43.73.40.40.10.100.13.82.92.21.9sumatoria19.950.86448Prec. mensual promedio1.93.33.12.81.30.40.20.20.92.82.42.4media=1.81364desviacion0.29402

grafica N 71.813636360.294020803tabla N 25PRUEBA DE BONDAD DE AJUSTE CON DISTRIBUCION GUMBEL

Prec. anual promediomPrec. anual promedio (x)P(x)=m/(N+1)Y=(x-u)/=IG(y)-P(x) I(x-media)^2critComparacinGrafica N 92.011.40.08333-1.444720.014400.068940.214960.391Ajuste bueno1.821.50.16667-1.008680.064440.102220.132230.391Ajuste bueno1.931.50.25000-0.827000.101630.148370.103660.391Ajuste bueno1.441.70.333330.008750.371100.037760.016980.391Ajuste bueno1.751.80.416670.662810.597260.180590.000390.391Ajuste bueno1.561.90.500000.844490.650660.150660.003770.391Ajuste buenotabla n 272.371.90.583330.989840.689610.106270.008970.391Ajuste bueno2.281.90.666671.062510.707810.041140.012400.391Ajuste buenoTIEMPO DE RETORNO MEDIANTE DISTRIBUCIN DE GUMBEL1.592.00.750001.353210.772280.022280.031690.391Ajuste buenoTiempo de retorno1/TProbabilidadY=(x-u)/1.9102.20.833332.079940.882550.049220.118820.391Ajuste bueno(Aos)P(Xx)=G(Y)=1-(1/T)YDespejando X (precipitacion Anual Promedio en mm)1.9112.30.916672.624990.930120.013450.220620.391Ajuste bueno100.10.92.25042.197sumatoria19.950.86448250.040.963.19852.415media=1.81364desviacion0.29402500.020.983.90192.576750.01330.98674.31082.6701000.010.994.60012.736tabla N 26media1.81364max0.18059Comparacin Datos que se ajustan a unaDesviacin0.29402critmax < s-k distribucin gumbelGrafica N 8u1.68133si:0.229340.05N11crit0.391

PRUEBA DE BONDAD DE AJUSTE CON DISTRIBUCION LOG-NORMAL DE 2 PARMETROSTabla N 30Prec. anual promediomPrec. anual promedio (x)P(x)=m/(N+1)Y=lnxF(Z)=IF(Z)-P(x) I(x-media)^2critComparacin2.011.40.083330.30010-1.752430.039850.043480.214960.391Ajuste bueno1.821.50.166670.37156-1.308770.095310.071360.132230.391Ajuste buenoTIEMPO DE RETORNO MEDIANTE DISTRIBUCIN LOG-NORMAL 2 PARMETROS1.931.50.250000.39989-1.132880.128630.121370.103660.391Ajuste buenoTiempo de retorno1/TProbabilidad1.441.70.333330.52078-0.382370.351090.017760.016980.391Ajuste bueno(Aos)P(Xx)=F(Z)=1-(1/T)Despejando Y= ln(X) Despejando X (precipitacion Anual Promedio en mm)1.751.80.416670.606140.147600.558670.142000.000390.391Ajuste bueno100.10.90.78882.2011.561.90.500000.628610.287120.612990.112990.003770.391Ajuste bueno250.040.960.86432.3732.371.90.583330.646230.396530.654140.070810.008970.391Ajuste bueno500.020.980.91322.4922.281.90.666670.654930.450520.673830.007160.012400.391Ajuste bueno750.01330.98670.93932.5581.592.00.750000.688970.661900.745980.004020.031690.391Ajuste bueno1000.010.990.95712.6041.9102.20.833330.769341.160850.877150.043810.118820.391Ajuste bueno1.9112.30.916670.825641.510390.934530.017860.220620.391Ajuste buenosumatoria19.950.86448media=1.81364desviacion0.29402Tabla N 29

media1.81364max0.14200Desviacin0.29402crit0.02594si:0.161070.050.58236N110.16212crit0.391max < critInformacin Confiable(Ajuste Bueno)

Como la informacin es confiable, entonces calculamos sus tiempos de retornoComo la informacin es confiable, entonces calculamos sus tiempos de retornoComo la informacin es confiable, entonces calculamos sus tiempos de retorno

Temp Med MensTabla N 31TEMPERATURA MEDIA MENSUAL

ESTACION :EL LIMONLAT :0555'05''DPTO :CAJAMARCALONG :7919'03''PROV :JAENCATEGORIA:"CO"ALT :1132.6 m.s.n.mDIST :POMAHUACA

AoEneroFebreroMarzoAbrilMayoJunioJulioAgostoSeptiembreOctubreNoviembreDiciembreT anual promedio199826.326.825.625.425.224.825.726.526.826.626.326.426.0199925.624.024.624.424.124.924.125.326.126.027.425.525.2200025.724.724.224.224.524.224.125.226.026.826.625.825.2200124.324.424.925.025.224.725.125.525.726.725.626.325.3200225.824.824.825.025.525.324.526.027.026.125.225.425.5200325.825.325.025.425.224.824.625.927.126.726.725.525.7200426.826.326.226.726.024.525.025.726.526.026.726.226.1200526.625.925.125.626.025.725.226.227.026.526.725.826.0200625.724.424.525.024.925.125.226.227.227.626.726.625.8200725.426.425.825.525.725.225.126.026.225.924.725.725.6200825.124.424.724.224.924.72526.126.426.226.526.425.4201026.025.926.326.526.426.026.325.726.626.726.125.526.2201125.424.625.324.825.525.625.226.426.326.327.325.525.7201224.924.325.625.826.126.026.427.027.126.426.826.426.1T mensual promedio25.725.225.225.325.425.125.126.026.626.526.425.9

Grafica N 10grfica N 11