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. 2022 May 21;12:8592. doi: 10.1038/s41598-022-12304-3

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© The Author(s) 2022

Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.

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Sensible heat flux as a function of surface-to-air temperature difference based on Eq. (8) ( $H = m (T_{s} - T_{a}) + c$ ). $ε$ was fitted to minimise RMSE of a robust linear regression. The title of the plot contains site, year, month and the fitted $ε$ -value. The legend correspond to Fig. 1. The colour code indicates the degree of energy imbalance of each data point (i.e. $R_{net} - H - L E - G$ ). The panels (a) to (d) refer to the same analysis at different sites, as indicated in the title of each panel.