Estimating Asymptotic Attributes of Forest Stands Based on Bio-Mathematical Rationales

An approach for estimating asymptotic forest stand yield, basal area, and tree density (number of stems per unit of area) is proposed. Available forest stand growth data are used to establish the reciprocal equation of Competition-Density (C-D) effect and develop equations relating the coefficients of C-D effect to stand top height. Asymptotic stand yield, basal area, and tree density are derived based on bio-mathematical rationales and expressed as functions of asymptotic top height. Asymptotic top height can be obtained for different site qualities and/or habitat types by evaluating a height growth model in the limit as age approaches infinity. Estimated asymptotes can be utilized to parameterize sigmoid-shaped growth functions (e.g., Richards growth model) for developing forest growth and yield models