Effects of correlation among parameters on prediction quality of a process-based forest growth model

Forest Science

Volumn 46, Issue 2, 2000, Pages 269-276

  Guan, Biing T ^a  

^a NATIONAL TAIWAN UNIVERSITY   (Taiwan)

Author keywords

Cholesky decomposition; Ecological model; Rank correlation; Uncertainty analysis

Indexed keywords

PINUS RESINOSA;

EID: 0034074509     PISSN: 0015749X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (27)

1. BARR, D.R., AND N.L. SLEZAK. 1972. A comparison of multivariate normal generators. Comm. ACM 15(12):1048-1049.
2. CHANG, C.H., Y.K. TUNG, AND J.C. YANG. 1994. Monte Carlo simulation for correlated variables with marginal distributions. J. Hydr. Eng. 120:313-331.
3. CONOVER, W.J. 1980. Practical nonprarametric statistics. Ed. 2. Wiley, New York. 493 p.
4. EASA, S.M. 1994. Uncertainty analysis of dredge production with correlation. J. Waterway, Port, Coast. Ocean Eng. 120:499-507.
5. ELSTON, D.A. 1992. Sensitivity analysis in the presence of correlated parameter estimates. Ecol. Model. 64:11-22.
6. GERTNER, G., P. PARYSOW, AND B.T. GUAN. 1996. Projection variance partitioning of a conceptual forest growth model with orthogonal polynomials. For. Sci. 42(4):474-486.
7. GREEN, E.J., D.W. MACFARLANCE, H.T. VALENTINE, AND W.E. STRAWDERMAN. 1999. Assessing uncertainty in a stand growth model by Bayesian synthesis. For. Sci. 45(4):528-538.
8. Gregoire, T.G., H.T. Valentine, and G.M. Furnival. 1995. Sampling methods to estimate foliage and other characteristics of individual trees. Ecology 76:1181-1194.
9. GUAN, B.T., G. GERTNER, AND P. PARYSOW. 1997. A framework for uncertainty assessment of mechanistic forest growth models: A neural network example. Ecol. Model. 98:47-58.
10. IMAN, R.L., AND W.J. CONOVER. 1982. A distribution-free approach to inducing rank correlation among input variables. Commun. Statist. Simula. Computa. 11(3):311-334.
11. KENNEDY, W.J., AND J.E. GENTLE. 1980. Statistical computing. M. Dekker, New York. 591 p.
12. LAURENCE, J.A., R.J. KOHUT, AND R.G. AMUNDSON. 1993. Use of TREGRO to simulate the effects of ozone on the growth of red spruce seedlings. For. Sci. 39(3):453-464.
13. LAW, A.M., AND W.D. KELTON. 1982. Simulation and modeling analysis. McGraw-Hill, New York. 400 p.
14. LIU, P.L., AND A. DER KIUREGHIAN. 1986. Multivariate distribution models with prescribed marginals and covariances. Prob. Eng. Mech. 1(2):105-112.
15. MÄKELÄ, A. 1997. A carbon balance model of growth and self-pruning in trees based on structural relationships. For. Sci. 43(1):7-24.
16. MCKAY, M.D. 1988. Sensitivity and uncertainty analysis using a statistical sample of input values. P. 145-186 in Uncertainty analysis, Ronen, Y. (ed.). CRC Press, Boca Raton, FL. 282 p.
17. PALMROTH, S., F. BERNINGER, AND E. NIKINMAA. 1997. Correlation of pipe model parameters with climatic variables and stand characteristics. P. 287-291 in Impacts of global change on tree physiology and forest ecosystems, Mohren, G M.J., K, Kramer, and S. Sabate (eds.). Kluwer Academic, Dordrecht, Netherlands.
18. RAFTERY, A.E., G.H. GIVENS, AND J.E. ZEH. 1995. Inference from a deterministic population dynamics model for bowhead whales. J. Am. Stat. Assoc. 90:402-416.
19. ROBICHAUD, E., AND I.R. METHVEN. 1992. The applicathe pipe model theory for the prediction of foliage biomass in trees from natural, untreated black spruce stands. Can. J. For. Res. 22:1118-1123.
20. RUNNING, G. 1977. A simple scheme for generating multivariate Gamma distributions with non-negative covariance matrix. Technometrics 19(2):179-183.
21. SHINOZAKI, K., K. YODA, K. HOZUMI, AND T. KIRA. 1964a. A quantitative analysis of plant form - the pipe model theory. I. Basic analysis. Japan. J. Ecol. 14:97-105.
22. SHINOZAKI, K., K. YODA, K. HOZUMI, AND T. KIRA. 1964b. A quantitative analysis of plant form - the pipe model theory. II. Further evidence of the theory and its application in forest ecology. Japan. J. Ecol. 14:133-139.
23. THORNLEY, J.H.M. 1976. Mathematical models in plant physiology. Academic Press, London, U.K. 318 p.
24. VALENTINE, H.T. 1988. A carbon balance model of stand growth: A derivation employing pipe-model theory and the self-thinning rule. Ann. Bot. 62:389-396.
25. VALENTINE, H.T., T.G. GREGOIRE, H.E. BURKHART, AND D.Y. HOLLINGER. 1997. A stand-level model of carbon allocation and growth, calibrated for loblolly pine. Can. J. For. Res. 27:817-830.
26. VISUAL NUMERICS, INC. 1996. IMSL® FORTRAN 90 MP Library User's Guide. Houston, Texas.
27. YODA, K., T. KIRA, H. OGAWA, AND K. HOZUMI. 1963. Self-thinning in overcrowded pure stands under cultivated and natural conditions. J. Biol. Osaka City Univ. 14:107-129.