Estimating Canopy Resistance Using Machine Learning and Analytical Approaches

Canopy resistance is a key parameter in the Penman–Monteith (P–M) equation for calculating evapotranspiration (ET). In this study, we compared a machine learning algorithm–support vector machine (SVM) and an analytical solution (Todorovic, 1999) for estimating canopy resistances. Then, these estimat...

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Main Authors: Cheng-I Hsieh, I-Hang Huang, Chun-Te Lu
Format: Article
Language:English
Published: MDPI AG 2023-11-01
Series:Water
Subjects:
Online Access:https://www.mdpi.com/2073-4441/15/21/3839
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author Cheng-I Hsieh
I-Hang Huang
Chun-Te Lu
author_facet Cheng-I Hsieh
I-Hang Huang
Chun-Te Lu
author_sort Cheng-I Hsieh
collection DOAJ
description Canopy resistance is a key parameter in the Penman–Monteith (P–M) equation for calculating evapotranspiration (ET). In this study, we compared a machine learning algorithm–support vector machine (SVM) and an analytical solution (Todorovic, 1999) for estimating canopy resistances. Then, these estimated canopy resistances were applied to the P–M equation for estimating ET; as a benchmark, a constant (fixed) canopy resistance was also adopted for ET estimations. ET data were measured using the eddy-covariance method above three sites: a grassland (south Ireland), Cypress forest (north Taiwan), and Cryptomeria forest (central Taiwan) were used to test the accuracy of the above two methods. The observed canopy resistance was derived from rearranging the P–M equation. From the measurements, the average canopy resistances for the grassland, Cypress forest, and Cryptomeria forest were 163, 346, and 321 (s/m), respectively. Our results show that both methods tend to reproduce canopy resistances within a certain range of intervals. In general, the SVM model performs better, and the analytical solution systematically underestimates the canopy resistances and leads to an overestimation of evapotranspiration. It is found that the analytical solution is only suitable for low canopy resistance (less than 100 s/m) conditions.
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spelling doaj.art-784a3e24c1364ce89e21b1c9e172a3ca2023-11-10T15:15:30ZengMDPI AGWater2073-44412023-11-011521383910.3390/w15213839Estimating Canopy Resistance Using Machine Learning and Analytical ApproachesCheng-I Hsieh0I-Hang Huang1Chun-Te Lu2Department of Bioenvironmental Systems Engineering, National Taiwan University, Taipei 10673, TaiwanDepartment of Bioenvironmental Systems Engineering, National Taiwan University, Taipei 10673, TaiwanDepartment of Bioenvironmental Systems Engineering, National Taiwan University, Taipei 10673, TaiwanCanopy resistance is a key parameter in the Penman–Monteith (P–M) equation for calculating evapotranspiration (ET). In this study, we compared a machine learning algorithm–support vector machine (SVM) and an analytical solution (Todorovic, 1999) for estimating canopy resistances. Then, these estimated canopy resistances were applied to the P–M equation for estimating ET; as a benchmark, a constant (fixed) canopy resistance was also adopted for ET estimations. ET data were measured using the eddy-covariance method above three sites: a grassland (south Ireland), Cypress forest (north Taiwan), and Cryptomeria forest (central Taiwan) were used to test the accuracy of the above two methods. The observed canopy resistance was derived from rearranging the P–M equation. From the measurements, the average canopy resistances for the grassland, Cypress forest, and Cryptomeria forest were 163, 346, and 321 (s/m), respectively. Our results show that both methods tend to reproduce canopy resistances within a certain range of intervals. In general, the SVM model performs better, and the analytical solution systematically underestimates the canopy resistances and leads to an overestimation of evapotranspiration. It is found that the analytical solution is only suitable for low canopy resistance (less than 100 s/m) conditions.https://www.mdpi.com/2073-4441/15/21/3839evapotranspirationcanopy resistancesupport vector machineTodorovic’s methodPenman–Monteith equation
spellingShingle Cheng-I Hsieh
I-Hang Huang
Chun-Te Lu
Estimating Canopy Resistance Using Machine Learning and Analytical Approaches
Water
evapotranspiration
canopy resistance
support vector machine
Todorovic’s method
Penman–Monteith equation
title Estimating Canopy Resistance Using Machine Learning and Analytical Approaches
title_full Estimating Canopy Resistance Using Machine Learning and Analytical Approaches
title_fullStr Estimating Canopy Resistance Using Machine Learning and Analytical Approaches
title_full_unstemmed Estimating Canopy Resistance Using Machine Learning and Analytical Approaches
title_short Estimating Canopy Resistance Using Machine Learning and Analytical Approaches
title_sort estimating canopy resistance using machine learning and analytical approaches
topic evapotranspiration
canopy resistance
support vector machine
Todorovic’s method
Penman–Monteith equation
url https://www.mdpi.com/2073-4441/15/21/3839
work_keys_str_mv AT chengihsieh estimatingcanopyresistanceusingmachinelearningandanalyticalapproaches
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