“…One major challenge of thinning is to determine the effective time of thinning, which varies among biotic (e.g., species types, stand density), abiotic (mainly substrate fertility), and management-related factors. Sophisticated methods such as dynamic programming, numerical optimization, or stand growth models can be used to derive the information [4][5][6][7][8][9][10][11][12]. However, most of these approaches are complex and require a wide array of long-term monitoring data including thin age, site index, initial stocking, residual stocking and/or rotation length that make the implementations challenging [13][14][15][16].…”