Accuracy of Hourly Water Temperatures in Rivers Calculated from Air Temperatures

Water temperature is a critical variable for water quality control and management. The primary objective of this paper was to develop and compare simple methods to estimate hourly water temperatures in rivers. The wave function (WF) model, originally used to calculate hourly air temperature, was mod...

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Main Authors: Gang Chen, Xing Fang
Format: Article
Language:English
Published: MDPI AG 2015-03-01
Series:Water
Subjects:
Online Access:http://www.mdpi.com/2073-4441/7/3/1068
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author Gang Chen
Xing Fang
author_facet Gang Chen
Xing Fang
author_sort Gang Chen
collection DOAJ
description Water temperature is a critical variable for water quality control and management. The primary objective of this paper was to develop and compare simple methods to estimate hourly water temperatures in rivers. The wave function (WF) model, originally used to calculate hourly air temperature, was modified and applied to eight Alabama rivers. The results show significant improvement by using the modified WF model instead of direct linear and non-linear (polynomial and logistic) regression models with time lags (4–5 h). The average Nash–Sutcliffe coefficient (NS) used to evaluate model accuracy for the eight rivers improved from 0.71 for the linear model to 0.89 for the modified WF model with NS for most rivers exceeding 0.90. A lumped modified WF model was also developed by combining water temperature data for all eight rivers and can be applied for rivers in Alabama when no observed water temperatures are available to develop a site-specific WF model. The procedure to develop a modified WF model can be applied to other regions.
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spelling doaj.art-ae78f990ad0849b7af1be76219bd959c2022-12-22T03:36:21ZengMDPI AGWater2073-44412015-03-01731068108710.3390/w7031068w7031068Accuracy of Hourly Water Temperatures in Rivers Calculated from Air TemperaturesGang Chen0Xing Fang1Department of Civil Engineering, Auburn University, Auburn, AL 36849-5337, USADepartment of Civil Engineering, Auburn University, Auburn, AL 36849-5337, USAWater temperature is a critical variable for water quality control and management. The primary objective of this paper was to develop and compare simple methods to estimate hourly water temperatures in rivers. The wave function (WF) model, originally used to calculate hourly air temperature, was modified and applied to eight Alabama rivers. The results show significant improvement by using the modified WF model instead of direct linear and non-linear (polynomial and logistic) regression models with time lags (4–5 h). The average Nash–Sutcliffe coefficient (NS) used to evaluate model accuracy for the eight rivers improved from 0.71 for the linear model to 0.89 for the modified WF model with NS for most rivers exceeding 0.90. A lumped modified WF model was also developed by combining water temperature data for all eight rivers and can be applied for rivers in Alabama when no observed water temperatures are available to develop a site-specific WF model. The procedure to develop a modified WF model can be applied to other regions.http://www.mdpi.com/2073-4441/7/3/1068water temperaturestreams/riversair temperaturewave function modelregression modellogistic model
spellingShingle Gang Chen
Xing Fang
Accuracy of Hourly Water Temperatures in Rivers Calculated from Air Temperatures
Water
water temperature
streams/rivers
air temperature
wave function model
regression model
logistic model
title Accuracy of Hourly Water Temperatures in Rivers Calculated from Air Temperatures
title_full Accuracy of Hourly Water Temperatures in Rivers Calculated from Air Temperatures
title_fullStr Accuracy of Hourly Water Temperatures in Rivers Calculated from Air Temperatures
title_full_unstemmed Accuracy of Hourly Water Temperatures in Rivers Calculated from Air Temperatures
title_short Accuracy of Hourly Water Temperatures in Rivers Calculated from Air Temperatures
title_sort accuracy of hourly water temperatures in rivers calculated from air temperatures
topic water temperature
streams/rivers
air temperature
wave function model
regression model
logistic model
url http://www.mdpi.com/2073-4441/7/3/1068
work_keys_str_mv AT gangchen accuracyofhourlywatertemperaturesinriverscalculatedfromairtemperatures
AT xingfang accuracyofhourlywatertemperaturesinriverscalculatedfromairtemperatures