Multiple Linear Regression Models with Limited Data for the Prediction of Reference Evapotranspiration of the Peloponnese, Greece

The aim of this study was to investigate the utility of multiple linear regression (MLR) for the estimation of reference evapotranspiration (ETo) of the Peloponnese, Greece, for two representative months of winter and summer during 2016–2019. Another objective was to test the number of inputs needed...

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Main Authors: Stavroula Dimitriadou, Konstantinos G. Nikolakopoulos
Format: Article
Language:English
Published: MDPI AG 2022-07-01
Series:Hydrology
Subjects:
Online Access:https://www.mdpi.com/2306-5338/9/7/124
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author Stavroula Dimitriadou
Konstantinos G. Nikolakopoulos
author_facet Stavroula Dimitriadou
Konstantinos G. Nikolakopoulos
author_sort Stavroula Dimitriadou
collection DOAJ
description The aim of this study was to investigate the utility of multiple linear regression (MLR) for the estimation of reference evapotranspiration (ETo) of the Peloponnese, Greece, for two representative months of winter and summer during 2016–2019. Another objective was to test the number of inputs needed for satisfactorily accurate estimates via MLR. Datasets from sixty-two meteorological stations were exploited. The available independent variables were sunshine hours (N), mean temperature (Tmean), solar radiation (Rs), net radiation (Rn), wind speed (u<sub>2</sub>), vapour pressure deficit (es − ea), and altitude (Z). Sixteen MLR models were tested and compared to the corresponding ETo estimates computed by FAO-56 Penman–Monteith (FAO PM) in a previous study, via statistical indices of error and agreement. The MLR5 model with five input variables outperformed the other models (RMSE = 0.28 mm d<sup>−1</sup>, adj. R<sup>2</sup> = 98.1%). Half of the tested models (two to six inputs) exhibited very satisfactory predictions. Models of one input (e.g., N, Rn) were also promising. However, the MLR with u<sub>2</sub> as the sole input variable presented the worst performance, probably because its relationship with ETo cannot be linearly described. The results indicate that MLR has the potential to produce very good predictive models of ETo for the Peloponnese, based on the literature standards.
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spelling doaj.art-611678ac06cb48d3881df61dfb0b3f732023-12-01T22:13:23ZengMDPI AGHydrology2306-53382022-07-019712410.3390/hydrology9070124Multiple Linear Regression Models with Limited Data for the Prediction of Reference Evapotranspiration of the Peloponnese, GreeceStavroula Dimitriadou0Konstantinos G. Nikolakopoulos1Department of Geology, University of Patras, 26504 Patras, GreeceDepartment of Geology, University of Patras, 26504 Patras, GreeceThe aim of this study was to investigate the utility of multiple linear regression (MLR) for the estimation of reference evapotranspiration (ETo) of the Peloponnese, Greece, for two representative months of winter and summer during 2016–2019. Another objective was to test the number of inputs needed for satisfactorily accurate estimates via MLR. Datasets from sixty-two meteorological stations were exploited. The available independent variables were sunshine hours (N), mean temperature (Tmean), solar radiation (Rs), net radiation (Rn), wind speed (u<sub>2</sub>), vapour pressure deficit (es − ea), and altitude (Z). Sixteen MLR models were tested and compared to the corresponding ETo estimates computed by FAO-56 Penman–Monteith (FAO PM) in a previous study, via statistical indices of error and agreement. The MLR5 model with five input variables outperformed the other models (RMSE = 0.28 mm d<sup>−1</sup>, adj. R<sup>2</sup> = 98.1%). Half of the tested models (two to six inputs) exhibited very satisfactory predictions. Models of one input (e.g., N, Rn) were also promising. However, the MLR with u<sub>2</sub> as the sole input variable presented the worst performance, probably because its relationship with ETo cannot be linearly described. The results indicate that MLR has the potential to produce very good predictive models of ETo for the Peloponnese, based on the literature standards.https://www.mdpi.com/2306-5338/9/7/124multiple linear regressionlinear regressionFAO Penman–Monteithreference evapotranspirationPeloponneseGreece
spellingShingle Stavroula Dimitriadou
Konstantinos G. Nikolakopoulos
Multiple Linear Regression Models with Limited Data for the Prediction of Reference Evapotranspiration of the Peloponnese, Greece
Hydrology
multiple linear regression
linear regression
FAO Penman–Monteith
reference evapotranspiration
Peloponnese
Greece
title Multiple Linear Regression Models with Limited Data for the Prediction of Reference Evapotranspiration of the Peloponnese, Greece
title_full Multiple Linear Regression Models with Limited Data for the Prediction of Reference Evapotranspiration of the Peloponnese, Greece
title_fullStr Multiple Linear Regression Models with Limited Data for the Prediction of Reference Evapotranspiration of the Peloponnese, Greece
title_full_unstemmed Multiple Linear Regression Models with Limited Data for the Prediction of Reference Evapotranspiration of the Peloponnese, Greece
title_short Multiple Linear Regression Models with Limited Data for the Prediction of Reference Evapotranspiration of the Peloponnese, Greece
title_sort multiple linear regression models with limited data for the prediction of reference evapotranspiration of the peloponnese greece
topic multiple linear regression
linear regression
FAO Penman–Monteith
reference evapotranspiration
Peloponnese
Greece
url https://www.mdpi.com/2306-5338/9/7/124
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AT konstantinosgnikolakopoulos multiplelinearregressionmodelswithlimiteddataforthepredictionofreferenceevapotranspirationofthepeloponnesegreece