A Half‐Order Derivative Based Model of Lake Heat Storage Change
Abstract Heat storage change (HSC) is a crucial component of lake's thermal energy budget. Conventional temperature profile based models of HSC require location specific parameters such as lakebed topography. Based on the half‐order time‐derivative formula of heat fluxes, an analytical model wa...
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| Main Authors: | , , , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2025-01-01
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| Series: | Water Resources Research |
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| Online Access: | https://doi.org/10.1029/2024WR038269 |
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| author | Yuanbo Liu Liangjun Tang Wanqiu Xing Jingfeng Wang Ruonan Wang Yifan Cui Qi Li |
| author_facet | Yuanbo Liu Liangjun Tang Wanqiu Xing Jingfeng Wang Ruonan Wang Yifan Cui Qi Li |
| author_sort | Yuanbo Liu |
| collection | DOAJ |
| description | Abstract Heat storage change (HSC) is a crucial component of lake's thermal energy budget. Conventional temperature profile based models of HSC require location specific parameters such as lakebed topography. Based on the half‐order time‐derivative formula of heat fluxes, an analytical model was formulated for estimating HSC from water surface temperature and solar radiation without using geography dependent parameters. The proposed model was tested against field measurements at Poyang Lake, a shallow inland lake, which has pronounced seasonal variations in water level and lake area. Our analysis indicates that the model accurately simulates diurnal HSC with a coefficient of determination of 0.94 and a root mean squared error (RMSE) of 77.5 ± 21.6 Wm−2 for the study period. Larger nighttime RMSE (75.0 ± 26.8 Wm−2) than the daytime value (55.1 ± 19.7 W m−2) is attributable to larger measurement errors of nighttime turbulent fluxes. The estimation of HSC independent of temperature profile and lake‐specific parameters by the proposed model facilitates remote sensing monitoring the HSC of global water bodies. |
| format | Article |
| id | doaj-art-52e4afd4a73e404c873e7294d3f25f02 |
| institution | OA Journals |
| issn | 0043-1397 1944-7973 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Water Resources Research |
| spelling | doaj-art-52e4afd4a73e404c873e7294d3f25f022025-08-20T02:09:28ZengWileyWater Resources Research0043-13971944-79732025-01-01611n/an/a10.1029/2024WR038269A Half‐Order Derivative Based Model of Lake Heat Storage ChangeYuanbo Liu0Liangjun Tang1Wanqiu Xing2Jingfeng Wang3Ruonan Wang4Yifan Cui5Qi Li6Nanjing Institute of Geography and Limnology Chinese Academy of Sciences Nanjing ChinaNanjing Institute of Geography and Limnology Chinese Academy of Sciences Nanjing ChinaCollege of Hydrology and Water Resources Hohai University Nanjing ChinaSchool of Civil and Environmental Engineering Georgia Institute of Technology Atlanta GA USANanjing Institute of Geography and Limnology Chinese Academy of Sciences Nanjing ChinaNanjing Institute of Geography and Limnology Chinese Academy of Sciences Nanjing ChinaNanjing Institute of Geography and Limnology Chinese Academy of Sciences Nanjing ChinaAbstract Heat storage change (HSC) is a crucial component of lake's thermal energy budget. Conventional temperature profile based models of HSC require location specific parameters such as lakebed topography. Based on the half‐order time‐derivative formula of heat fluxes, an analytical model was formulated for estimating HSC from water surface temperature and solar radiation without using geography dependent parameters. The proposed model was tested against field measurements at Poyang Lake, a shallow inland lake, which has pronounced seasonal variations in water level and lake area. Our analysis indicates that the model accurately simulates diurnal HSC with a coefficient of determination of 0.94 and a root mean squared error (RMSE) of 77.5 ± 21.6 Wm−2 for the study period. Larger nighttime RMSE (75.0 ± 26.8 Wm−2) than the daytime value (55.1 ± 19.7 W m−2) is attributable to larger measurement errors of nighttime turbulent fluxes. The estimation of HSC independent of temperature profile and lake‐specific parameters by the proposed model facilitates remote sensing monitoring the HSC of global water bodies.https://doi.org/10.1029/2024WR038269lake heat storage changesurface temperatureinland lakessurface energy balanceeddy‐covariance techniques |
| spellingShingle | Yuanbo Liu Liangjun Tang Wanqiu Xing Jingfeng Wang Ruonan Wang Yifan Cui Qi Li A Half‐Order Derivative Based Model of Lake Heat Storage Change Water Resources Research lake heat storage change surface temperature inland lakes surface energy balance eddy‐covariance techniques |
| title | A Half‐Order Derivative Based Model of Lake Heat Storage Change |
| title_full | A Half‐Order Derivative Based Model of Lake Heat Storage Change |
| title_fullStr | A Half‐Order Derivative Based Model of Lake Heat Storage Change |
| title_full_unstemmed | A Half‐Order Derivative Based Model of Lake Heat Storage Change |
| title_short | A Half‐Order Derivative Based Model of Lake Heat Storage Change |
| title_sort | half order derivative based model of lake heat storage change |
| topic | lake heat storage change surface temperature inland lakes surface energy balance eddy‐covariance techniques |
| url | https://doi.org/10.1029/2024WR038269 |
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