A simple and effective forest stand mortality model

Autor(i)

  • Oscar García University of Northern British Columbia, Canada

Ključne riječi:

survival, growth and yield, relative spacing, self-thinning

Sažetak

A whole-stand survival model is presented, that is parsimonious and well-behaved when extrapolated, making it particularly useful in data-poor situations. It is argued, on biological and system-theoretical grounds, that a suitable differential equation for the mortality rate should contain number of trees and top height on the right-hand side, avoiding age, mean diameter, or basal area. Following Eichhorn's hypothesis, site quality can be neglected by modelling rates relative to height growth. The proposed model is $\dr{N}{H} = -a N^b H^c$ , where $N$ is number of trees per unit area, $H$ is top height, and $a$, $b$ and $c$ are parameters to be estimated. The equation can be integrated to predict mortality between any two points in time. Satisfactory performance is demonstrated with a white spruce data set from British Columbia. It is shown that the model generalizes concepts of relative spacing, and mortality models for radiata pine and Douglas-fir used by Beekhuis in New Zealand in the 1960's. Asymptotic behaviour is related to the 3/2, Reineke, and relative spacing self-thinning laws. Limitations of the self-thinning theories and relationships among their various forms are discussed. MCFNS 1(1):1-9.

Biografija autora

  • Oscar García, University of Northern British Columbia, Canada
    Oscar Garcia is a Professor and Endowed Chair in Forest Growth and Yield at the University of Northern British Columbia, Canada. He received a professional forester degree (Ingeniero Forestal) and an M.Sc. in Mathematical Statistics Operations Research from the University of Chile, and a Ph.D. in Forest Resources from the University of Georgia, USA. Between 1976 and 1992 he worked in New Zealand for the Forest Research Institute, developing forest management planning decision-support systems and being responsible for much of their plantation growth modeling program. Later, he led a Government/ Industry cooperative eucalypt modeling project in Chile, and conducted forest planning research in Spain for the Galician Government. He occupied the Chair of Forest Mensuration at the Universidad Austral de Chile, and held Guest Professor position at the ENGREF in France, KVL in Denmark, and the Universidad Politécnica de Madrid in Spain.

Reference

Assmann, E., 1970. The principles of forest yield study. Pergamon Press, Oxford, England. 506 p.

Beekhuis, J., 1966. Prediction of yield and increment in Pinus radiata stands in New Zealand. Technical Paper 49, Forest Research Institute, NZ Forest Service. http://web.unbc.ca/~garcia/misc/beekhuis66.pdf.

Bi, H., 2001. The self-thinning surface. Forest Science 47(3):361-370.

Clutter, J., and E. Jones, 1980. Prediction of growth after thinning old-field slash pine plantations. Research Paper SE-217, USDA Forest Service. 14 p.

Eichhorn, F., 1904. Beziehungen zwischen Bestandshöhe und Bestandsmasse. Allg. Forst- u. Jagdztg. 80:45-49.

Evert, F., 1981. A model for regular mortality in unthinned white spruce plantations. The Forestry Chronicle 57(2):77-79.

García, O., 1981. An approximation for Beekhuis' mortality model. Forest Mensuration Branch Report 57, New Zealand Forest Service, Forest Research Institute. Unpublished. http://web.unbc.ca/~garcia/unpub/report57.pdf.

García, O., 1993. Stand growth models: Theory and practice. In Advancement in Forest Inventory and Forest Management Sciences - Proceedings of the IUFRO Seoul Conference, pp. 22-45. Forestry Research Institute of the Republic of Korea. http://web.unbc.ca/~garcia/publ/korea.pdf.

Mitchell, K. J., and I. R. Cameron, 1985. Managed stand yield tables for coastal Douglas-fir: Initial density and precommercial thinning. Land Management Report 31, B. C. Ministry of Forests, Research Branch, Victoria, British Columbia.

Vanclay, J. K., 1994. Modelling forest growth and yield: Applications to mixed tropical forests. CABI International, Wallingford, UK. 312 p. http://espace.library.uq.edu.au/eserv/UQ:8211/ModellingForestG.pdf.

Weller, D.E., 1987. A reevaluation of the -3/2 power rule of plant self-thinning. Ecological Monographs 57:23-43.

Wilson, F. G., 1951. Control of stocking in even-aged stands of conifers. Journal of Forestry 49:692-695.

Zhao, D., B. Borders, M. Wang, and M. Kane, 2007. Modeling mortality of second-rotation loblolly pine plantations in the Piedmont/Upper Coastal Plain and Lower Coastal Plain of the southern United States. Forest Ecology and Management 252(1-3):132-143.

International Journal of Mathematical and Computational Forstry and Natural-Resource Sciences

Preuzimanja

Objavljeno

2009-02-02

Broj časopisa

Svezak 1 Br. 1: MCFNS February 28, 2009

Rubrika

Mathematical Modeling

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Kako citirati

A simple and effective forest stand mortality model. (2009). Mathematical and Computational Forestry & Natural-Resource Sciences (MCFNS), 1(1), Pages: 1-9 (9). https://www.tmp.17921125833755a190e36a5857.temporary.link/index.php/Journal/article/view/MCFNS.1-1

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