Error-in-variable method to estimate parameters for reciprocal base-age invariant site index models

Canadian Journal of Forest Research

Volumn 34, Issue 9, 2004, Pages 1929-1937

  Wang, Yonghe ^a   Huang, Shongming ^b   Yang, Richard C ^a   Tang, Shouzheng ^c  

^a NORTHERN FORESTRY CENTRE   (Canada)

^b Land and Forest Service   (Canada)

^c RESEARCH INSTITUTE OF FORESTRY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

FORESTRY; MATHEMATICAL MODELS; PARAMETER ESTIMATION;

FOREST PRODUCTIVITY; LEAST SQUARES METHOD;

DIFFERENCE EQUATIONS;

ESTIMATION METHOD; FOREST; MODEL; PARAMETERIZATION; PRODUCTIVITY; SITE INDEX;

DIFFERENTIAL EQUATIONS; FORESTRY; MATHEMATICAL MODELS; PARAMETERS;

EID: 9944224337     PISSN: 00455067     EISSN: None     Source Type: Journal    
DOI: 10.1139/X04-070     Document Type: Article

References (23)

1. Alberta Environmental Protection. 1988. Alberta phase 3 forest inventory: tree sectioning manual. Alberta Environmental Protection, Land and Forest Service, Edmonton, Alta.
2. Amateis, R.L., and Burkhart, H.E. 1985. Site index curves for loblolly pine plantations on cutover-prepared lands. South J. Appl. For. 9: 166-169.
3. Amemiya, Y., and Fuller, W. 1988. Estimation for the nonlinear functional relationship. Ann. Stat. 16: 147-160.
4. Bailey R.L., and Clutter, J.L. 1974. Base-age invariant polymorphic site curves. For. Sci. 20: 155-159.
5. Borders, B.E., Bailey, R.L., and Clutter, J.L. 1988. Forest growth models: parameter estimation using real growth series. In Forest Growth Modelling and Prediction: Proceedings of the IUFRO Conference, 23-27 August 1987, Minneapolis, Minnesota. Edited by Alan R. Ek, Stephen R. Shifley, and Thomas E. Burk. USDA For. Serv. Gen. Tech. Rep. NC-120. pp. 660-667
6. Cao, Q.V. 1993. Estimating coefficients of base-age-invariant site index equations. Can. J. For. Res. 23: 2343-2347.
7. Carroll, R., Ruppert, D., and Stefanski, L.A. 1995. Measurement error in nonlinear models. Chapman and Hall Inc., New York.
8. Clutter, J.L., and Lenhart, J.D. 1968. Site index curves for old-field loblolly pine plantations in the Georgia Piedmont. Ga. For. Res. Counc. Rep. 22. Ser. 1.
9. Clutter, J.L., Fortson, J.C., Pienaar, L.V., Brister, G.H., and Bailey, R.L. 1983. Timber management: a quantitative approach. John Wiley & Sons, Inc., New York.
10. Corns, I.G.W. 1978. Tree growth prediction and plant community distribution in relation to environmental factors in lodgepole pine, white spruce, black spruce and aspen forests of western Alberta foothill. Ph.D dissertation, University of Alberta, Edmonton, Alta.
11. Fuller, W.A. 1987. Measurement error models. John Wiley & Sons, Inc., New York.
12. Goelz, J.C.G., and Burk, T.E. 1992. Development of a well-behaved site index equation: jack pine in north central Ontario. Can. J. For. Res. 22: 776-784.
13. Goelz, J.C.G., and Burk, T.E. 1996. Measurement error causes bias in site index equations. Can. J. For. Res. 26: 1585-1593.
14. Huang, S. 1997. Development of compatible height and site index models for young and mature stands within an ecosystem-based management framework. In Proceedings: Empirical and Process-based Models for Forest Tree and Stand Growth Simulation, 21-27 September 1997, Lisbon, Portugal. Edited by Ana Amaro and Margarida Tome. Technical University of Lisboa, Lisbon, Portugal, pp. 61-98.
15. McDill, M.E., and Amateis, R.L. 1992. Measuring forest site quality using the parameters of a dimensionally compatible height growth function. For. Sci. 38: 409-429.
16. Payandeh, B., and Wang, Y. 1994. Relative accuracy of a new base-age invariant site index model. For. Sci. 40: 341-348.
17. Richards, F.J. 1959. A flexible growth function for empirical use. J. Exp. Bot. 10: 290-300.
18. SAS Institute Inc. 1989. SAS/STAT user's guide. Version 6 [computer program]. SAS Institute Inc., Cary, N.C.
19. Schumacher, F.X. 1939. A new growth curve and its application to timber yield studies. J. For. 37: 819-820.
20. Smith, V.G., and Watts, M. 1987. An assessment of the structural method of deriving a black spruce site equation. Can. J. For. Res. 17: 1181-1189.
21. Tang, S., Li, Y., and Wang, Y. 2001. Simultaneous equations, error-in-variable models, and model integration in systems ecology. Ecol. Model. 142(3): 285-294.
22. Tang, S., and Wang, Y. 2002. A parameter estimation program for the error-in-variable model. Ecol. Model. 156(2/3): 225-236.
23. The Math Works, Inc. 2001. MATLAB: the language of technical computing. The MathWorks, Inc., Natick, Mass.