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Revista Chapingo serie ciencias forestales y del ambiente

On-line version ISSN 2007-4018Print version ISSN 2007-3828


CASTILLO-GALLEGOS, Epigmenio; JARILLO-RODRIGUEZ, Jesús  and  ESCOBAR-HERNANDEZ, Ramiro. Diameter-height relationships in three species grown together in a commercial forest plantation in eastern tropical Mexico. Rev. Chapingo ser. cienc. for. ambient [online]. 2018, vol.24, n.1, pp.33-48. ISSN 2007-4018.


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.


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).


The best model was different for each species and the actual data around the predicted curve were highly scattered, particularly in Chiapas white pine.

Keywords : Non-linear models; Cinnamomum sp.; Pinus chiapensis; Melia azedarach; tropics.

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