Statistical analysis of modified Hargreaves equation for precise estimation of reference evapotranspiration
There are a lot of meteorological stations around the world, like Pakistan, where all the meteorological parameters are not accessible to analyze Penman-Monteith (PM) method for the estimation of Reference Evapotranspiration (ETo). So ablative methods such as Hargreaves Samani (HS) equation are ther...
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2021
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oai:doaj.org-article:3ba5960c2287423ba24b3870a24d23182021-12-01T14:40:59ZStatistical analysis of modified Hargreaves equation for precise estimation of reference evapotranspiration1600-087010.1080/16000870.2021.1966869https://doaj.org/article/3ba5960c2287423ba24b3870a24d23182021-01-01T00:00:00Zhttp://dx.doi.org/10.1080/16000870.2021.1966869https://doaj.org/toc/1600-0870There are a lot of meteorological stations around the world, like Pakistan, where all the meteorological parameters are not accessible to analyze Penman-Monteith (PM) method for the estimation of Reference Evapotranspiration (ETo). So ablative methods such as Hargreaves Samani (HS) equation are therefore a potential solution to this problem, which required small numbers of meteorological parameters to estimate ETo. But, simplification brings imprecision and the need for regional calibration of the HS equation’s constant. In this study, fuzzy logic based calibration of the constants in the HS equation at the various climatic locations of Pakistan for the period of 1980 − 2019 is performed. The precision of HS and Modified HS (MHS) against standard PM method for the approximation of ETo was evaluated and compared the calibration process of HS equation by adjusting the coefficients of the equation gradually. The performance of the MHS is evaluated based on the statistical indicators such as Mean Absolute Error (MAE), Root Mean Square Error (RMSE), and Performance Index (PI). The statistical assessment of the study revealed that the MHS equation performed better as compared to the conventional HS equation and simultaneous adjustment of all the empirical parameters “ah”, “bh”,”ch” and “dh” was the best alternative for calibration of the HS equation. Furthermore, the change point detection analysis has been carried out on ETo (estimated by MHS) using Pettitt’s test, Buishand’s range test and Buishand’s U test. Results of the change point analysis indicated different change points from year 1980 to 2019, mainly due to the industrialization and urbanization during this time period.Rimsha HabeebXiang ZhangIjaz HussainMuhammad Zaffar HashmiElsayed Elsherbini ElashkarJameel Ahmad KhaderSadaf Shamshoddin SoudagarAlaa Mohamd ShoukryZulfiqar AliFares Fawzi Al-DeekTaylor & Francis GrouparticleablativeevapotranspirationimprecisioncalibratedconventionalindicatorsOceanographyGC1-1581Meteorology. ClimatologyQC851-999ENTellus: Series A, Dynamic Meteorology and Oceanography, Vol 73, Iss 1, Pp 1-12 (2021) |
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ablative evapotranspiration imprecision calibrated conventional indicators Oceanography GC1-1581 Meteorology. Climatology QC851-999 |
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ablative evapotranspiration imprecision calibrated conventional indicators Oceanography GC1-1581 Meteorology. Climatology QC851-999 Rimsha Habeeb Xiang Zhang Ijaz Hussain Muhammad Zaffar Hashmi Elsayed Elsherbini Elashkar Jameel Ahmad Khader Sadaf Shamshoddin Soudagar Alaa Mohamd Shoukry Zulfiqar Ali Fares Fawzi Al-Deek Statistical analysis of modified Hargreaves equation for precise estimation of reference evapotranspiration |
description |
There are a lot of meteorological stations around the world, like Pakistan, where all the meteorological parameters are not accessible to analyze Penman-Monteith (PM) method for the estimation of Reference Evapotranspiration (ETo). So ablative methods such as Hargreaves Samani (HS) equation are therefore a potential solution to this problem, which required small numbers of meteorological parameters to estimate ETo. But, simplification brings imprecision and the need for regional calibration of the HS equation’s constant. In this study, fuzzy logic based calibration of the constants in the HS equation at the various climatic locations of Pakistan for the period of 1980 − 2019 is performed. The precision of HS and Modified HS (MHS) against standard PM method for the approximation of ETo was evaluated and compared the calibration process of HS equation by adjusting the coefficients of the equation gradually. The performance of the MHS is evaluated based on the statistical indicators such as Mean Absolute Error (MAE), Root Mean Square Error (RMSE), and Performance Index (PI). The statistical assessment of the study revealed that the MHS equation performed better as compared to the conventional HS equation and simultaneous adjustment of all the empirical parameters “ah”, “bh”,”ch” and “dh” was the best alternative for calibration of the HS equation. Furthermore, the change point detection analysis has been carried out on ETo (estimated by MHS) using Pettitt’s test, Buishand’s range test and Buishand’s U test. Results of the change point analysis indicated different change points from year 1980 to 2019, mainly due to the industrialization and urbanization during this time period. |
format |
article |
author |
Rimsha Habeeb Xiang Zhang Ijaz Hussain Muhammad Zaffar Hashmi Elsayed Elsherbini Elashkar Jameel Ahmad Khader Sadaf Shamshoddin Soudagar Alaa Mohamd Shoukry Zulfiqar Ali Fares Fawzi Al-Deek |
author_facet |
Rimsha Habeeb Xiang Zhang Ijaz Hussain Muhammad Zaffar Hashmi Elsayed Elsherbini Elashkar Jameel Ahmad Khader Sadaf Shamshoddin Soudagar Alaa Mohamd Shoukry Zulfiqar Ali Fares Fawzi Al-Deek |
author_sort |
Rimsha Habeeb |
title |
Statistical analysis of modified Hargreaves equation for precise estimation of reference evapotranspiration |
title_short |
Statistical analysis of modified Hargreaves equation for precise estimation of reference evapotranspiration |
title_full |
Statistical analysis of modified Hargreaves equation for precise estimation of reference evapotranspiration |
title_fullStr |
Statistical analysis of modified Hargreaves equation for precise estimation of reference evapotranspiration |
title_full_unstemmed |
Statistical analysis of modified Hargreaves equation for precise estimation of reference evapotranspiration |
title_sort |
statistical analysis of modified hargreaves equation for precise estimation of reference evapotranspiration |
publisher |
Taylor & Francis Group |
publishDate |
2021 |
url |
https://doaj.org/article/3ba5960c2287423ba24b3870a24d2318 |
work_keys_str_mv |
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