A Proposal for a Hybrid Model Based on the Weibull Growth Equation in the Adjustment of Growth Curves applied to Pine Forest Species in Northern Mexico

  1. Marcos de Almeida Souza 1
  2. Miguel Ricardo Hernández Velazco 1
  3. João Marcelo Brazão Protázio 2
  4. Jonathan Gabriel Escobar Flores 3
  5. Carlos Antonio López Sánchez 6
  6. Jose Ciro Hernández Díaz 5
  7. Christian Wehenkel 4
  1. 1 Maestría Institucional en Ciencias Agropecuarias y Forestales, UJED, Durango, Mexico.
  2. 2 Postgraduate Program in Mathematics and Statistics, UFPA, Belém, Brazil.
  3. 3 Centro Interdisciplinario de Investigación para el Desarrollo Integral Regional, Unidad Durango, Instituto Politécnico Nacional, Mexico.
  4. 4 Instituto de Silvicultura e Industria de la Madera, UJED, Durango 34120, Mexico
  5. 5 Instituto de Silvicultura e Industria de la Madera, UJED, Durango, Mexico.
  6. 6 GIS-Forest Group, Departamento of Organisms and Systems Biology, University of Oviedo, Spain.
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Actas:
The 1st International Electronic Conference on Forests—Forests for a Better Future: Sustainability, Innovation, Interdisciplinarity

Editorial: Enviromental Sciences Proceedings

Año de publicación: 2020

Páginas: 1-7

Tipo: Aportación congreso

DOI: 10.3390/IECF2020-08036 GOOGLE SCHOLAR lock_openAcceso abierto editor

Resumen

In this work, we present a hybrid methodology based on ADA, applied to the simulationof pine species from northern Mexico. From algebraic transformations and certain premises, we wereable to reduce the parameter space of the Weibull growth function from three parameters to just one,the maximum diameter of the individual at the end of growth. From the point of view of complexity,we have a decrease in computational cost, because now we have only one parameter to estimate,and from a practical point of view, it is an easy parameter to obtain, even in the field. To present thequality of the method, we used the mean absolute percentage error and the quantile regression tovisually present the quality of the fit. Then we compare this proposed methodology with the GADAversions for the Chapman–Richards and Hossfeld models. The results presented for the study area,to avoid generalizations, show that the proposed hybrid method was more accurate in the estimates.

Referencias bibliográficas

  • Vanclay, J.K. (1994). Modelling Forest Growth and Yield: Applications to Mixed Tropical Forests, CAB International.
  • Mitchell, (1988), For. Chron., 64, pp. 127, 10.5558/tfc64127b1-2
  • Richards, (1959), J. Exp. Botany, 10, pp. 290, 10.1093/jxb/10.2.290
  • Hossfeld, (1822), Gotha, 4, pp. 310
  • Weibull, (1951), J. Appl. Mech., 18, pp. 293, 10.1115/1.4010337
  • Cieszewski, (2002), For. Sci., 48, pp. 7
  • Tofallis, (2015), J. Oper. Res. Soc., 66, pp. 1352, 10.1057/jors.2014.103
  • Bailey, (1974), For. Sci., 20, pp. 155
  • Bailey, (2001), For. Sci., 47, pp. 311
  • R Core Team (2017). R: A Language and Environment for Statistical Computing, R Foundation for Statistical Computing.