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Estimating Asymptotic Attributes of Forest Stands Based on Bio‐Mathematical Rationales
Author(s) -
Zhang Lianjun,
Moore James A.,
Newberry James D.
Publication year - 1993
Publication title -
ecological applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.864
H-Index - 213
eISSN - 1939-5582
pISSN - 1051-0761
DOI - 10.2307/1942105
Subject(s) - basal area , asymptote , mathematics , sigmoid function , growth function , ecology , yield (engineering) , statistics , mathematical analysis , biology , computer science , materials science , machine learning , artificial neural network , metallurgy
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.