EVALUATION OF THE DENSITY-DIAMETER RELATIONSHIP IN Pinus taeda STAND
DOI:
https://doi.org/10.5902/19805098432Keywords:
density-diameter, self-thinning, Pinus taeda.Abstract
This work was developed with the purpose of studying the efficiency of the models which express the density-diameter relationship in stands of Pinus taeda L., handled in full and highly stocked density. For that, Reineke, Yoda, Zeide and Tang models were adjusted. Such models relate the density of trees per hectare, considering the average diameter through data originated from 50 permanent portions, measured every year until the age of 18, implanted in spacing of 1.5x1.0 and 2.0x1.0 meters and kept in full density. Results indicate that all density and diameter models and self-thinning presented good statistical precision; however, the Tang model was more efficient than the others, presenting excellent coefficient of determination (0.99), low standard error of the estimative (0.0948), low variation coefficient (1.17%), low trend (0.0086) and high efficiency (0.8976), in the estimate of the values of density of trees per hectare for medium diameter, with in good residual distribution of the number of trees per hectare in function of the average diameter of the stand.
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References
ANDO, T. Ecological studies on the stand density control in even-aged pure stand. Bull. Gov. For. Exp. Station No. 210. Tokyo, 1968. 153p.
ANDO, T.; HATIYA, K.; DOI, K.; KATAOKA, H.; KATO, Y. Studies on the system of density control of sugi (Cryptomeria jaonica) stand. Bull. Gov. For. Exp. Station No. 209. Tokyo, 1968. 76p.
BARRETO, L. S. The clarification of self-thinning and thinning. A simulation approach. Silva Lusitana, v. 2, n. 2, p. 233-238, 1994.
CELLINI, J. M.; PASTEUR, G. M.; WADO, E. LENCINAS, M. V. Modelos de perfil de tronco en Nothofagus pumilio (Polpp. et Endl.) Krasser y su utilización en el cálculo del volumen total. Invest. Agr.: Sist. Recr. For. v. 11, n. 2, p. 245-261, 2002.
DEL RIO, M.; MONTERO, G.; BRAVO, F. Analysis of diameter-density relationships and self-thinning in non-thinned even-aged Scots pine stands. Forest Ecology and Management, n. 142, p. 79-87, 2001.
HILEY, W. E. Conifers: South African methods of cultivation. London: Faber and Faber. 1959. 123p.
KIRA, T.; OGAWA, H.; SAKAZAKI, N. Intraspecific competition among higher plants. I. Competition-yield-density interrelationship in regularly dispersed populations. Osaka City Univ., Jor. Polytechn. N. 4, v.1, p. 1-16, 1953.
LAASASENAHO, J.; KOIVUNIEMI, J. Dependence of some stand characteristics on stand density. Tree Physiol., n. 7, p. 183-187, 1990.
MITCHELL, H. C. Regulation of farm woodlands by rule of thumb. Jor. For., n. 41, p. 243-248, 1943.
MONSERUD, R. A.; LEDERMANN, T.; STERBA, H. Are self-thinning constraints needed in a tree-specific mortality model ?. Forest Science. n. 50, v. 6. p. 848-858. 2005.
MOTA, F. S.; BEIRSDORF, M. J. C.; GARCEZ, R. B. Zoneamento agrícola do Rio Grande do Sul e Santa Catarina: normas agro-climáticas. Pelotas: Ministério da Agricultura. 1971. 80p.
OKAWA, A.; ALLEN, R. Allometric theory explains self-thinning relationships of mountain beech and red pine. Ecology, v. 74, n. 4, p. 1020-1032, 1993.
PALAHI, M.; MIIMA, J.; MONTERO, E. Stand-level yield model for scots pine (Pinus sylvestris L.) in North-East Spain. Invest. Agr.: Sist. Recr. For. v. 11, n. 2, p. 409-424. 2002.
REINEKE, L. H. Perfecting a stand-density index for even-aged forests. Jor. Agric. Res., n. 46, p. 627-638, 1933.
SANTA CATARINA. Gabinete de Planejamento e Coordenação Geral. Subchefia de Estatística. Geografia e Informática. Atlas de Santa Catarina. Rio de Janeiro: Aerofoto Cruzeiro. 1986. 173p.
SAS Institute Inc. SAS/STAT user’s guide. Version 8 (computer manual). SAS Institute Inc., Cary. N.C. 1999.
SMITH, N. J.; HANN, D. W. A growth model based on the self-thinning rule. Can. Jor. Res., n. 16, p. 330-334, 1986.
STERBA, H.; MONSERUD, R.A. The maximum density concept applied to uneven-aged mixed-species stands. Forest Science, n. 39, v. 3, p. 432-452, 1993.
TANG, S.; MENG, C. H.; MENG, F. R., A growth and self-thinning model for pure even-age stands: theory and applications. Forest Ecology and Management, n. 70, p. 67-73, 1994.
TANG, S.; MENG, F. R.; MENG, C. H. The impact of initial stand density and site index on maximum stand density index and self-thinning index in a stand self-thinning model. Forest Ecology and Management, n. 75, p. 61-68, 1995.
WEST, P. W.; BOUROUGH, C. J. Tree supervision and the self-thinning. Rule in a monoculture of Pinus radiata D.Don. Annuals of Botany, n. 52, p. 149-158. 1983.
WESTOBY, M. The place of the self-thinning rule in population dynamics. Am. Nat., n. 118, p. 581-587, 1981.
WILSON, F.G. Numerical expression of stocking in terms of height. Jor. For., n. 44, p. 758-761, 1946.
YODA, K.; KIRA, T., OSAWA, H.; HOZUMI, K., Self-thinning in over crowed pure stands under cultivated and natural conditions. Jor. Biol. Osaka City Univ., n. 14, p. 107-129, 1963.
ZEIDE, B. A relationship between size of trees and their number. Forest Ecology and Management, n. 72, p. 265-272, 1995.
ZEIDE, B. Analysis of the 3/2 power law of self-thinning. Forest Science, v. 33, n. 5, p. 17-537, 1987.
ZEIDE. B. Tolerance and self-tolerance of trees. Forest Ecology and Management, n. 13, p. 149-166, 1985.
