Estimating Potential Evapotranspiration by Missing Temperature Data Reconstruction

This work studies the statistical characteristics of potential evapotranspiration calculations and their relevance within the water balance used to determine water availability in hydrological basins. The purpose of this study was as follows: first, to apply a missing data reconstruction scheme in w...

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Main Authors: Eladio Delgadillo-Ruiz, Eusebio Jr. Ventura-Ramos, Julián González Trinidad, Hugo Enrique Júnez-Ferreira, Carlos Francisco Bautista-Capetillo, Olivia Delgadillo-Ruiz
Format: Article
Language:English
Published: Wiley 2015-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2015/154864
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author Eladio Delgadillo-Ruiz
Eusebio Jr. Ventura-Ramos
Julián González Trinidad
Hugo Enrique Júnez-Ferreira
Carlos Francisco Bautista-Capetillo
Olivia Delgadillo-Ruiz
author_facet Eladio Delgadillo-Ruiz
Eusebio Jr. Ventura-Ramos
Julián González Trinidad
Hugo Enrique Júnez-Ferreira
Carlos Francisco Bautista-Capetillo
Olivia Delgadillo-Ruiz
author_sort Eladio Delgadillo-Ruiz
collection DOAJ
description This work studies the statistical characteristics of potential evapotranspiration calculations and their relevance within the water balance used to determine water availability in hydrological basins. The purpose of this study was as follows: first, to apply a missing data reconstruction scheme in weather stations of the Rio Queretaro basin; second, to reduce the generated uncertainty of temperature data: mean, minimum, and maximum values in the evapotranspiration calculation which has a paramount importance in the manner of obtaining the water balance at any hydrological basin. The reconstruction of missing data was carried out in three steps: (1) application of a 4-parameter sinusoidal type regression to temperature data, (2) linear regression to residuals to obtain a regional behavior, and (3) estimation of missing temperature values for a certain year and during a certain season within the basin under study; estimated and observed temperature values were compared. Finally, using the obtained temperature values, the methods of Hamon, Papadakis, Blaney and Criddle, Thornthwaite, and Hargreaves were employed to calculate potential evapotranspiration that was compared to the real observed values in weather stations. With the results obtained from the application of this procedure, the surface water balance was corrected for the case study.
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spelling doaj-art-0a773060255f427994fd3a03c1accf952025-02-03T05:58:51ZengWileyJournal of Applied Mathematics1110-757X1687-00422015-01-01201510.1155/2015/154864154864Estimating Potential Evapotranspiration by Missing Temperature Data ReconstructionEladio Delgadillo-Ruiz0Eusebio Jr. Ventura-Ramos1Julián González Trinidad2Hugo Enrique Júnez-Ferreira3Carlos Francisco Bautista-Capetillo4Olivia Delgadillo-Ruiz5División de Estudios de Posgrado, Facultad de Ingeniería, Universidad Autónoma de Querétaro, CU Cerro de las Campanas S/N, Centro, 76010 Querétaro, QRO, MexicoDivisión de Estudios de Posgrado, Facultad de Ingeniería, Universidad Autónoma de Querétaro, CU Cerro de las Campanas S/N, Centro, 76010 Querétaro, QRO, MexicoDivisión de Estudios de Posgrado, Universidad Autónoma de Zacatecas, Avenida Ramón López Velarde 801, Centro, 98060 Zacatecas, ZAC, MexicoDivisión de Estudios de Posgrado, Universidad Autónoma de Zacatecas, Avenida Ramón López Velarde 801, Centro, 98060 Zacatecas, ZAC, MexicoDivisión de Estudios de Posgrado, Universidad Autónoma de Zacatecas, Avenida Ramón López Velarde 801, Centro, 98060 Zacatecas, ZAC, MexicoCentro de Investigaciones Económicas Sociales y Tecnológicas de la Agroindustria y la Agricultura Mundial (CIESTAAM), Universidad Autónoma Chapingo, Km 38.5 Carretera México-Texcoco, 56230 Chapingo, MEX, MexicoThis work studies the statistical characteristics of potential evapotranspiration calculations and their relevance within the water balance used to determine water availability in hydrological basins. The purpose of this study was as follows: first, to apply a missing data reconstruction scheme in weather stations of the Rio Queretaro basin; second, to reduce the generated uncertainty of temperature data: mean, minimum, and maximum values in the evapotranspiration calculation which has a paramount importance in the manner of obtaining the water balance at any hydrological basin. The reconstruction of missing data was carried out in three steps: (1) application of a 4-parameter sinusoidal type regression to temperature data, (2) linear regression to residuals to obtain a regional behavior, and (3) estimation of missing temperature values for a certain year and during a certain season within the basin under study; estimated and observed temperature values were compared. Finally, using the obtained temperature values, the methods of Hamon, Papadakis, Blaney and Criddle, Thornthwaite, and Hargreaves were employed to calculate potential evapotranspiration that was compared to the real observed values in weather stations. With the results obtained from the application of this procedure, the surface water balance was corrected for the case study.http://dx.doi.org/10.1155/2015/154864
spellingShingle Eladio Delgadillo-Ruiz
Eusebio Jr. Ventura-Ramos
Julián González Trinidad
Hugo Enrique Júnez-Ferreira
Carlos Francisco Bautista-Capetillo
Olivia Delgadillo-Ruiz
Estimating Potential Evapotranspiration by Missing Temperature Data Reconstruction
Journal of Applied Mathematics
title Estimating Potential Evapotranspiration by Missing Temperature Data Reconstruction
title_full Estimating Potential Evapotranspiration by Missing Temperature Data Reconstruction
title_fullStr Estimating Potential Evapotranspiration by Missing Temperature Data Reconstruction
title_full_unstemmed Estimating Potential Evapotranspiration by Missing Temperature Data Reconstruction
title_short Estimating Potential Evapotranspiration by Missing Temperature Data Reconstruction
title_sort estimating potential evapotranspiration by missing temperature data reconstruction
url http://dx.doi.org/10.1155/2015/154864
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