##article.highlights##
- This is the first report of diameter-height relationships in Cinnamomum sp. and Melia azedarach.
- The best fit models were different for the three species under study.
- There was high dispersion of data around all three best functions.
- Future research should consider the use of best-fit functions to construct site indexes.
Abstract
Introduction: Chest-height trunk diameter and height are the main variables measured in forestry inventories, as they aid in the decision-making process in forest plantation management and in research on growth modeling, among other uses.
Objective: The aim was to find the mathematical function that best relates diameter at chest height (CHD, ≈1.3 m) to height (Ht) in three forest species grown within the same area: wild avocado (Cinnamomum sp.), Chiapas white pine (Pinus chiapensis [Martínez] Andresen) and piocho (Melia azedarach L.).
Materials and methods: Twenty-two non-linear models, of which thirteen had two parameters and nine had three parameters, were compared using the difference in Akaike’s information criterion corrected (AICc).
Results and discussion: The best models were: the two-parameter hyperbola for wild avocado (Ht = (17.58*CHD)/(12.33 + CHD), R2 = 0.79, SEE = 0.80, n = 647); the three-parameter Richards’ function for Chiapas white pine (Ht = 10.14*(1 – e-0.206*CHD)1.689, R2 = 0.35, SEE = 1.28, n = 664); and the three-parameter sigmoid Korf’s function for piocho (Ht = 18.25*(e-2.46*(CHD-0.556)), R2 = 0.49, SEE = 0.96, n = 692).
Conclusion: The best model was different for each species and the actual data around the predicted curve were highly scattered, particularly in Chiapas white pine.
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