It has come to our attention that in this Article, while translating the methods of Luo1 (originally written in Chinese), we did not appreciate that plant age (a) and stand biomass (Mtot) had been used to calculate net primary production (NPP). Thus, while the Luo data are appropriate for our analyses that used climate and environmental variables as predictors of NPP, they are not appropriate for those that use plant age and/or stand biomass as independent predictors as in our theoretical model.
Consequently, we have removed the Luo data (our data index numbers 98–1206) from all analyses that involve age and biomass as predictors. This error has been corrected in the Supplementary Information to this Corrigendum, which contains revised versions of Table 1, Figs 1d, 3, 4, Extended Data Tables 2, 3, and Extended Data Figs 1, 3, 4. These revisions are based on the subset of our original source data file that excludes ‘Source’ rows containing ‘Luo (1996); Ni et al. (2001)’. We also include the first English translation and summary of the methodology from Luo1, as previous studies have made the same error by correlating NPP with age or biomass using the Luo data2, 3, 4, 5.
Overall, this correction does not change our original interpretation of the results or the conclusions drawn in the Article. Furthermore, there is little effect on the parameter fits reported in our original Article. A few differences merit discussion here. First, our re-analyses strengthen our conclusions that growing season length (lgs) is an important indirect driver of variation in NPP, as well as our rationale for calculation of growing season net primary production NPP/lgs. (The corrected Table 1 in the Supplementary Information to this Corrigendum shows that lgs explains an even larger fraction of NPP than it did in our original analysis.) Second, our fitted estimates for activation energy (E) for NPP and NPP/lgs (see corrected Table 1 in Supplementary Information to this Corrigendum) now have 95% confidence intervals that include the value of 0.32 eV proposed for photosynthesis6. This result should be interpreted with caution, however, given that the confidence intervals are wide and temperature still explains a relatively small amount of variation in NPP and NPP/lgs. Third, the fitted mass-scaling exponents α for total NPP/lgs and the aboveground woody component NPPAGW/lgs, while similar, have switched places in their correspondence to theoretical predictions of 0.6, with α = 0.47 for NPP/lgs (95% confidence interval = 0.36–0.58; see corrected Table 1 in the Supplementary Information to this Corrigendum) and α = 0.552 for NPPAGW/lgs (95% confidence interval = 0.374–0.729; see corrected Extended Data Table 3 in the Supplementary Information to this Corrigendum). A closer correspondence for NPPAGW/lgs may be expected due to possible bias in sampling below ground biomass for estimates of NPP. We apologize for any confusion that this oversight may have caused to readers.
We are grateful to B. Medlyn, J. Yang, and their journal club at Western Sydney University for bringing this issue to our attention. We also thank T. Luo, J. Ni and Z. Hu for helping us translate the original Chinese publication.
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- Supplementary Information (2.2 MB)
This file contains revised versions of Table 1, Figures 1d, 3 and 4, Extended Data Tables 2-3 and Extended Data Figures 1, 3 and 4. Also included is the first English translation and summary of the methodology from Luo, T. X. Patterns of Biological Production and its Mathematical Models for Main Forest Types of China. PhD thesis, Chinese Academy of Sciences (1996).
- Supplementary Data (245 KB)
This file contains source data for the original Figure 1 with an added header that explains caveats with the data that are described in the corrigendum (the header should be manually removed before the file can be used in data analysis software).