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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2015-01-01
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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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institution | Kabale University |
issn | 1110-757X 1687-0042 |
language | English |
publishDate | 2015-01-01 |
publisher | Wiley |
record_format | Article |
series | Journal of Applied Mathematics |
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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