Predicting models of leaf area for trees in Larix olgensis plantation.

Leaf area influences dry matter production of trees, as well as the growth of trees and forest stands. The accurate estimation of leaf area plays an important role in analyzing the growth of trees and forest stands. Based on data of 76 Larix olgensis trees in a plantation of Heilongjiang Province, predicting models of branch leaf area ( BLA) and crown leaf area (CLA) were constructed, respectively. The results showed that a form of lnBLA = β₁ +(β₂ + b₂) lnBD + (β₃+b₃) lnRDINC +β₄lnDBH+ β₅lnHT/DBH+(β₆+b₆)lnCR was selected as the optimal BLA mixed-effect model with the consideration of tree-level random effects, composed of three random-effect on lnBD, lnRDINC and lnCR (β_i represented model fixed parameters, b_i represented model random-effect parameters, BD was branch diameter, RDINC was the relative depth into crown from tree apex, DBH was tree diameter at breast height, HT/DBH represented the ratio of tree height to DBH, and CR represented the ratio of crown length to tree height). The adjusted coefficient of determination (R_a°), residual mean squares error (RMSE), mean error (ME), mean absolute error (MAE) and precision estimation (P) of the optimal BLA mixed model were 0.90, 0.5477, -0.03, 0.24 and 91%, respectively, indicating the model had a good performance in predicting. The CLA was calculated by predicted values of all branches based on developed BLA model and the final form of CLA model was as follows: lnCLA = γ₀ + γ₁, lnDBH+γ₂ CR (γ_i, model parameters). Results of likelihood ratio test ( P >0.05) showed that plot-level random effect had no influence on the model performance, which can be ignored. The CLA model got a good-fitting effect with R² and RMSE being 0.87 and 0.3847, respectively. The CLA predicting model developed in this study could provide a good prediction of CLA for L. olgensis trees and provided a theoretical basis for the research on distribution of leaf area and photosynthesis. [ABSTRACT FROM AUTHOR]