“…The H – D relationships (obtained using both Equations () and ()) were estimated by NLME models ( nlme package in R software 3; Pinheiro et al, 2013), where the “continent” (referring to China, Asia, Africa, America, or Australia), “family group,” and “ecosystem” were fixed effects and the “site or plot” was specified as a random effect. The general model form is given as follows (Zhao et al,
2021):
where the height ( H ) is modeled by a nonlinear function f (Equation () or ()) of diameter ( D ), the fixed effect term represents the “continent, family group, ecosystem” ( u i ), and the random effect term “site or plot” ( u j ) and the residual term (ξ) are associated with variability among individuals, functional groups, and measurement errors. Here, parameters H max and β, the measures of the forest canopy height asymptote and stem allometry, respectively, were considered to be regressed for both the entire Chinese tree growth data and the grouped datasets, including regional forest types, ecosystem communities, and species‐specific biogeographic components.…”