Application of the algebraic difference approach for developing self-referencing specific gravity and biomass equations

Forest Science

Volumn 52, Issue 1, 2006, Pages 81-92

  Jordan, Lewis ^a   Souter, Ray ^b   Parresol, Bernard ^c   Daniels, Richard F ^a  

^a UNIVERSITY OF GEORGIA   (United States)

^b Rork Associates   (United States)

^c USDA FOREST SERVICE   (United States)

Author keywords

Algebraic difference approach; Biomass; Height invariant; Seemingly unrelated regression; Specific gravity

Indexed keywords

ALGEBRA; DENSITY (SPECIFIC GRAVITY); ECOSYSTEMS; FUNCTIONS; SPECIFICATIONS;

ALGEBRAIC DIFFERENCE APPROACH; BIOMASS EQUATION; HEIGHT INVARIANTS;

BIOMASS;

BIOMASS; DENSITY; ECOSYSTEMS;

EID: 33644503610     PISSN: 0015749X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (30)

1. BAILEY, R.L., AND J.L. CLUTTER. 1974. Base-age invariant polymorphic site curves. For. Sci. 20:155-159.
2. BORDERS, B.E. 1989. Systems of equations in forest stand modeling. For. Sci. 35:548-556.
3. BRISTER, G.H., J.L. CLUTTER, AND T.M. SKINNER. 1980. Tree volume and taper functions for site-prepared plantations of slash pine. South. J. Appl. For. 4(3):139-142.
4. BUSBY, R.M., AND K.B. WARD. 1989. Merchop: A dynamic programming model for estimating harvest value of unthinned loblolly and slash pine plantations. US For. Serv. South. For. Exp. Stn. Res. Pap. SO-254.
5. CIESZEWSKI, C.J. 2001. Three methods of deriving advanced dynamic site equations demonstrated on inland Douglas-fir site curves. Can. J. For. Res. 31:165-173.
6. CIESZEWSKI, C.J., AND R.L. BAILEY. 2000. Generalized algebraic difference approach: Theory based derivation of dynamic site equations with polymorphism and variable asymptotes. For. Sci. 46(1):116-126.
7. CIESZEWSKI, C.J., M. HARRISON, AND S.W. MARTIN. 1999. Practical methods for estimating non-biased parameters in self-referencing growth and yield models. P. 115-125 in First International Conference on measurements and quantitative methods and management and the 1999 southern mensurationists meeting. Proceedings of a conference held on 17-18 November 1999. Jekyll Island, Georgia.
8. FANG, Z., AND R.L. BAILEY. 1999. Compatible volume and taper models with coefficients for tropical species on Hainan Island in southern China. For. Sci. 45:85-100.
9. GARCIA, O. 1983. A stochastic differential equation model for the height growth of forest stands. Biometrics 39:1059-1072.
10. HAYGREEN, J.G., AND J.L. BOWYER. 1996. Forest products and wood science: An introduction, 3rd ed. Iowa State University Press, Ames, IA.
11. HUANG, S., Y. YANG, AND Y. WANG. 2003. A critical look at procedures for validation growth and yield models. P. 271-294 in Modeling forest systems, A. Amaro, D.D. Reed, and P. Soares (eds.). CABI Publishing, Wallingford, UK.
12. HUSCH, B., C.I. MILLER, AND T.W. BEERS. 1982. Forest mensuration, 3rd ed. John Wiley and Sons, New York.
13. JORDAN, L., R.F. DANIELS, AND A. CLARK. 2004. Estimating optimum sampling size to determine increment core specific gravity of loblolly pine. University of Georgia Wood Quality Consortium (Unpublished technical report).
14. KOCH, P. 1972. Utilization of the southern pines. Ag. Handbook No. 420, vol. 1:7. USDA Forest Service, Southern Forest Experiment Station.
15. KOZAK, A., AND R. KOZAK. 2003. Does cross validation provide additional information in evaluation of regression models? Can. J. For. Res. 33:976-987.
16. 2. Am. Stat. 39:279-285.
17. LOAGUE, K., AND R.E. GREEN. 1991. Statistical and graphical methods for evaluating solute transport models: Overview and application. J. Contam. Hydrol. 7:51-73.
18. MAYER, D.G., AND D.G. BUTLER. 1993. Statistical validation. Ecol. Model. 68:21-32.
19. MATHAR, R.J. 2004. Numerical representations of the incomplete gamma function of complex-valued argument. Numerical Algorithms 36:247-264.
20. MYERS, C., D.J. POLAK, D. RAISANEN, R.C. SCHLESINGER, AND L. STORTZ. 1980. Weight and volume equations and tables for size upland hardwoods in southern Illinois. USDA For. Serv. Gen. Tech. Rep. NC-60. 17 p.
21. PARRESOL, B.R. 1999. Assessing tree and stand biomass: A review with examples and critical comparisons. For. Sci. 45(4):573-593.
22. PARRESOL, B.R. 2001. Additivity of nonlinear biomass equations. Can. J. For. Res. 31:865-878.
23. PARRESOL, B.R., AND C.E. THOMAS. 1987. Integrating taper equations and specific gravity to give stem biomass. P. 115-125 in Proc. of the 9th Annual Southern Forest Biomass Workshop, June 8-11, 1987, Biloxi, MS, Daniels, R.A., W.F. Watson, and I.W. Savelle (eds.). Mississippi State University, Mississippi State, MS. 216 p.
24. PARRESOL, B.R., AND C.E. THOMAS. 1989. A density-integral approach to estimating stem biomass. For. Ecol. Manage. 26:285-297. Erratum 28:321-322.
25. PARRESOL, B.R., AND C.E. THOMAS. 1996. A simultaneous density-integral system for estimating stem profile and biomass: Slash pine and willow oak. Can. J. For. Res. 26:773-781.
26. PHILLIPS, K.M. 2002. Modeling within-tree changes in wood specific gravity and moisture content for loblolly pine in Georgia. M.Sc. Thesis, University of Georgia, Athens, GA. 83 p.
27. SCHLAEGEL, B.E. 1982. Testing, reporting, and using biomass estimation models. P. 95-112 in Proc. of the 3rd Annual Southern Forest Biomass Workshop, Gresham, C.A. (ed.). Belle W. Baruch For. Sci. Institute, Clemson University, Clemson, SC. 137 p.
28. THOMAS, C.E., B.R. PARRESOL, K.H.N. LÊ, AND R.E. LOHREY. 1995. Biomass and taper for trees in thinned and unthinned longleaf pine plantations. South. J. Appl. For. 19(1):29-35.
29. VAN DEUSEN, P.C., AND V.C. BALDWIN. 1993. Sampling and predicting tree dry weight. Can. J. For. Res. 23:1826-1829.
30. ZHANG, Y., B.E. BORDERS, AND R.L. BAILEY. 2002. Derivation, fitting, and implication of a compatible stem taper-volume-weight system for intensively managed, fast growing loblolly pine. For. Sci. 48(3):595-607.