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. 2017 Jun 8;7:3108. doi: 10.1038/s41598-017-03386-5

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© The Author(s) 2017

Open Access This 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 license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license 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 license, visit http://creativecommons.org/licenses/by/4.0/.

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Fitting results using different models to gross primary production rates (GPP) and respiration rate (RE) vs. temperature. The exponential model (i.e., the Q ₁₀ approach, Exp.) and the linear function model (Lin.) were used to gross primary production rates (GPP) vs. temperature at site-years of (a) FR-Fon.2005, (c) NL-Ca1.2003, (e) CA-Qfo.2005, and (g) FI-Kaa.2006, and the exponential model was used to fit respiration rates (RE) vs. temperature at site-years of (b) FR-Fon.2005, (d) NL-Ca1.2003, (f) CA-Qfo.2005, and (h) FI-Kaa.2006. Sites of FR-Fon, NL-Ca1, CA-Qfo, and FI-Kaa represent ecosystems featuring with climate regions (i.e., temperate and boreal) and plant functional types (PFTs) (i.e., forest and non-forest) of temperate & forest, temperate & non-forest, boreal & forest, and boreal & non-forest, respectively. Comparison of the fitting results was based on the coefficients of determination (R ²) and root mean square error (RMSE).