Table 1.

Transfer functions between primary productivity and leaf size based on data from China. The transfer functions were built with data from China using the model Y = 1/r*(a‐ln(K/X‐1)); R ²‐values of the best models are in bold. All relationships are significant at P < 0.001

y	x	$\mathcal{K}$	α	r	R 2	No. of cells	SE	SE%
GPP	Length	11.602	1.470	0.002	0.83	3333	220.994	8.139
	Width	5.228	1.558	0.002	0.78	3332	251.688	9.270
	Length‐width product	50.641	2.985	0.003	0.78	3332	248.658	9.162
NPP	Length	11.500	1.567	0.004	0.79	3333	119.643	8.062
	Width	5.208	1.669	0.005	0.74	3332	132.578	8.934
	Length‐width product	50.567	3.089	0.006	0.76	3332	127.389	8.588

The transfer functions are $y=\frac{1}{r}(\mathrm{\alpha }-\ln (\frac{\mathcal{K}}{x}-1))$, where x < $\mathcal{K}$ and $\mathcal{K}$, α and r are the three parameters of the model. x, leaf size measures (length, width or length‐width product); y, ecosystem primary productivity (GPP or NPP); R², coefficient of determination of model; # of cells, numbers of grid cells included in the calculation of nonlinear models (with x < $\mathcal{K}$); SE, standard error of estimate ($\text{SE}=\sqrt{\frac{\sum {(y_{\text{est}}-y_{\text{real}})}^2}{n-1}}$); SE%, standard error ratio of estimate (${\text{SE}}_R=\frac{\text{SE}}{y_{real(max)}-y_{real(min)}}\times 100\%$) (Traiser et al. 2005). See Table S6.1 for parameters of other models.