GROWTH RESULTING FROM THE VARIATION AND COMBINATION OF MODELS OF CHAPMAN-RICHARDS AND SILVA-BAILEY APPLIED TO Leucaena leucocephala (Lam.) of Wit
DOI:
https://doi.org/10.5902/198050981949Keywords:
Forest resource, leucena, biometric.Abstract
The main objective of this work was to develop new growth models for forest resources, applied to (leucena) [Leucaena leucocephala (Lam.) of Wit], based on the biological hypotheses proposed by Chapman-Richards and Silva-Bailey. The experiment of the leucena was carried out in the Experimental Station of the Agricultural and Liverstock Research Company of Pernambuco - IPA, in the municipal district of Caruaru - PE. Five hundred and forty four trees of Leucaena leucocephala (Lam.) of Wit were used, with 20 measures along the time. It was compared new growth models resulting from the combination and variation of the Chapman-Richards and Silva-Bailey models, as well other models used in forest resources. For the selection of the final equations, the fit of index, standard error of estimate and the graphic distribution of the residues were used. Results show that new models were as good as Chapman-Richards and Silva-Bailey and other tested. Therefore, any one of them can be applied to estimate the growth of leucena.
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BARROS, N.F., SILVA, O.M., PEREIRA, A.R. et al. Análise do crescimento de Eucalyptus saligna em solos do cerrado sob diferentes níveis de N, P e K no vale do Jequitinhonha, MG. IPEF, Piracicaba, n. 26, p.13-17, 1984.
BERTALANFFY, L von. A quantitative theory of organic growth. Human Biology, Detroit, v. 10, p. 181-213, 1934.
BERTALANFFY, L von. Quantitative laws for metabolism and growth. Quaterly Review of Biology, Stony Brook, v. 32, p. 217-231, 1957.
BRITO, C.C.R. Novos modelos de crescimento resultantes da combinação e variações dos modelos de Chapman-Richards e Silva-Bailey aplicados em leucena [Leucaena leucocephala (Lam) de Wit] e tubarão-junteiro (Carcharhinus porosus). Recife, 2005. 138f. Dissertação (Mestrado em Biometria) – Universidade Federal Rural de Pernambuco, Recife, 2005.
CAMPOS, J. C. C. Análise do crescimento e produção em plantações desbastadas. Revista Árvore, Viçosa, v. 4, n. 2, p. 157-169, 1980.
CHAPMAN, D. E. Statistical problems in dynamics of exploited fishering populations. In: BERKELEY SYMPOSIUM ON MATHEMATICAL STATISTIC AND PROBABILITY, 4., 1961. Procededings… Berkeley : University of California Press, 1961. p.153-158.
CLUTTER, J. L., FORTSON, J. C., PIENAAR, L. V. et al. Timber management: a quantitative approach. New York : Jonh Wiley & Sons, 1983. 333p.
CLUTTER, J. L. Compatible growth and yield models for loblolly pine. Forest Science, Bethesda, v. 9, p. 354-371, 1963.
CLUTTER, J. L; JONES, E. P. Prediction of growth after thinning in old-field slash pine plantation. Washington : USDA, 1980. 12p.
EMBRAPA. Sistema brasileiro de classificação de solos. Brasília: EMBRAPA, 1999. 421p.
FEKEDULEGN, D. et al. Parameter estimation of nonlinear growth models in forestry. Silva Fennica, Helsinki, v. 33, n. 4, p. 327-336, 1999.
FRANCE, J.; THORNLEY, J. H. M. Mathematical models in agriculture. London: Butterworks, 1984. 335p.
MACHADO, S. A. Studies in growth and yield estimation for Pinus taeda L. plantations in the State of Parana – Brazil. 1978. 170f. Thesis (Doctor of Philosophy)–University of Washington, Washington 1978.
McTAGUE, J. P. Growth and yield of slash and loblolly pine in the state of Santa Catarina, Brazil. Athens, 1985. 219f. Thesis (Doctor of Philosophy) - University of Georgia, Athens, 1985.
MEUNIER, I. M. J. Crescimento de mudas de Leucaena leucocephala (Lam.) de Wit. em função do uso do composto de resíduo urbano, adubação fosfatada e inoculação com Rhizobium loti. Recife, 1991. 110f. Dissertação (Mestrado em Agronomia, Ciência do Solo) – Universidade Federal Rural de Pernambuco, Recife, 1991.
PIENAAR, L. V. Quantitative theory of forest growth. Washington, 1965. 167f. Thesys (Doctor of Philosophy) - University of Washington, 1965.
PIENAAR, L. V.; TURNBULL, K. J. The Chapman-Richards generalization of von Bertalanffy’s growth model for basal area growth and yield in even-aged stands. Forest Science, Bethesda, v. 19, p. 2-22, 1973.
PRODAN, M. Forest biometrics. Oxford : Pergamon Press, 1968. 447p.
RICHARDS, F. J. A flexible growth function for empirical use. Journal of Experimental Botany, Oxford, v. 10, p. 290-300, 1959.
SANTOS JÚNIOR, R. C. B. Modelagem matemática na estimativa de crescimento em altura de leucena (Leucaena leucocephala (Lam.) de Wit)., no Agreste de Pernambuco. Recife, 2005. 95f. Dissertação (Mestrado em Ciências Florestais) - Universidade Federal Rural de Pernambuco, Recife, 2005.
SCHNEIDER, P. R. Análise de regressão aplicada à engenharia florestal. 2. ed. Santa Maria: UFSM/CEPEF, 1998. 236p.
SCHLAEGEL, B. E. Testing, reporting, and using biomass estimation models. In: SOUTHERN FOREST BIOMASS WORKSHOP, 1981, Georgetown. Proceedings… Clemson : Clemson University, 1981. 127p. p. 95-112.
SCOLFORO, J. R. Modelos para expressar o crescimento e a produção florestal: Parte 1. Lavras: ESAL/FAEPE, 1994. 182p.
SILVA, J. A. A. Dynamics of stand structure in fertilized slash pine plantations. Athens, 1986. 133f. Thesis (Doctor of Philosophy) - University of Georgia, 1986.
SOUZA, C. M. de. Avaliação do crescimento em altura de leucena Leucaena leucocephala (Lam.) de Wit. no Agreste de Pernambuco, por meio da análise de medidas repetidas. Recife, 2003. 123f. Dissertação (Mestrado em Biometria) - Universidade Federal Rural de Pernambuco, Recife, 2003.
SPATHELF, P.; NUTTO, L. Modelagem aplicada ao crescimento florestal. Santa Maria: UFSM, 2000. 70p.
TURNBULL, K. J. Population dynamics in mixed forest stands: a system of mathematical models of mixed stand growth and structure. Washington, 1963. 186f. Dissertation (Magister Science) - University of Washington, Washington, 1963.
