Modeling stem taper of three central Oregon species using nonlinear mixed effects models and autoregressive error structures

Forest Ecology and Management

Volumn 179, Issue 1-3, 2003, Pages 507-522

  Garber, Sean M ^a   Maguire, Douglas A ^a  

^a OREGON STATE UNIVERSITY   (United States)

Author keywords

Abies grandis; Mixed species; Modeling; Pinus contorta; Pinus ponderosa; Stem form

Indexed keywords

CORRELATION METHODS; FORESTRY; MATHEMATICAL MODELS; RANDOM PROCESSES;

SILVICULTURE;

ECOLOGY;

ABIES; ABIES GRANDIS; PINUS CONTORTA; PINUS PONDEROSA;

EID: 0038044665     PISSN: 03781127     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0378-1127(02)00528-5     Document Type: Article

References (38)

1. Avery, T.E., Burkhart, H.E., 2002. Forest Measurements, 5th ed. McGraw-Hill, New York, 456 pp.
2. Barrett, J.W., 1978. Height growth and site index curves for managed even-aged stands of ponderosa pine in the Pacific Northwest. USDA For. Serv. Res. Pap., PNW-RP-232, 14 pp.
3. Baskerville, G.L., 1972. Logarithmic regression in the estimation of plant biomass. Can. J. For. Res. 2, 49-55.
4. Biging, G.S., 1985. Improved estimates of site index curves using a varying-parameter model. For. Sci. 31 (1), 248-259.
5. Box, G.E.P., Jenkins, G.M., 1970. Time Series Analysis: Forecasting and Control. Holden-Day, San Francisco, CA, 553 pp.
6. Burkhart, H.E., Walton, S.B., 1985. Incorporating crown ratio into taper equations for loblolly pine trees. For. Sci. 31, 478-484.
7. Chi, E.M., Reinsel, G.C., 1989. Models for longitudinal data with random effects and AR(1) errors. J. Am. Stat. Assoc. 84, 452-459.
8. Cochran, P.H., 1985. Site index, height growth, normal yields, and stocking levels for larch in Oregon and Washington. USDA For. Serv. Res. Note, PNW-RN-424, US, 24 pp.
9. Cochran, P.H., Barrett, J.W., 1999a. Growth of ponderosa pine thinned to different stocking levels in central Oregon: 30-year results. USDA For. Serv. Res. Pap., PNW-RP-508, 27 pp.
10. Cochran, P.H., Barrett, J.W., 1999b. Thirty-five-year growth of ponderosa pine saplings in response to thinning and understory removal. USDA For. Serv. Res. Pap., PNW-RP-512, 28 pp.
11. Curtis, R.O., Reukema, D.L., 1970. Crown development and site estimates in a Douglas-fir plantation spacing study. For. Sci. 16, 287-301.
12. Fang, Z., Bailey, R.L., 2001. Nonlinear mixed effects modeling for slash pine dominant height growth following intensive silvicultural treatments. For. Sci. 47 (3), 287-300.
13. Flewelling, J.W., Pienaar, L.V., 1981. Multiplicative regression with lognormal errors. For. Sci. 27 (2), 281-289.
14. Franklin, J.F., Dyrness, C.T., 1973. Natural vegetation of Oregon and Washington. USDA For. Serv. Gen. Technol. Rep., PNW-GTR-8, 49 pp.
15. Furnival, G.M., 1961. An index for comparing equations used in constructing volume tables. For. Sci. 7, 337-341.
16. Gregoire, T.G., Schabenberger, O., Barrett, J.P., 1995. Linear modelling of irregularly spaced, unbalanced, longitudinal data from permanent-plot measurements. Can. J. For. Res. 25, 137-156.
17. Hann, D.W., Walters, D.K., Scrivani, J.A., 1987. Incorporating crown ratio into predictive equations for Douglas-fir stem volume. Can. J. For. Res. 17, 17-22.
18. Kenefic, L.S., Seymour, R.S., 1999. Leaf area prediction models for Tsuga canadensis. Can. J. For. Res. 29, 1574-1582.
19. Kozak, A., 1988. A variable-exponent taper equation. Can. J. For. Res. 18, 1363-1368.
20. Kozak, A., 1997. Effects of multicollinearity and autocorrelation on the variable-exponent taper functions. Can. J. For. Res. 27, 619-629.
21. Kozak, A., Smith, J.H.G., 1993. Standards for evaluating taper estimating systems. For. Chron. 69 (4), 438-444.
22. Larsen, D.R., Hann, D.W., 1985. Equations for predicting diameter and squared diameter inside bark at breast height for six major conifers of southwest Oregon. Forest Research Laboratory, Oregon State University, Corvallis, Research Note 77, 4 pp.
23. Lennette, A.P., 1999. Twenty-five-year response of Larix occidentalis stem form to five stand density regimes in the Blue Mountains of eastern Oregon. MS Thesis. Oregon State University, Corvallis, OR, 59 pp.
24. Lindstrom, M.J., Bates, D.M., 1990. Nonlinear mixed effects models for repeated measures data. Biometrics 46, 673-687.
25. Maguire, D.A., Johnston, S.R., Cahill, J., 1999. Predicting branch diameters on second-growth Douglas-fir from tree-level descriptors. Can. J. For. Res. 29, 1829-1840.
26. McCullagh, P., Nelder, J.A., 1989. Generalized Linear Models, 2nd ed. Chapman & Hall, London, 511 pp.
27. Meyer, W.H., 1961. Yield of even-aged stands of ponderosa pine. USDA Tech. Bull. 630, 59 pp. (revised).
28. Monserud, R.A., 1986. Time-series analyses of tree-ring chronology. For. Sci. 32 (2), 349-372.
29. Neter, J., Kutner, M.H., Nachtsheim, C.J., Wasserman, W., 1998. Applied Linear Statistical Models, 4th ed. McGraw-Hill, Boston, MA, 1408 pp.
30. Newnham, R.M., 1992. Variable-form taper functions for four Alberta tree species. Can. J. For. Res. 22, 210-223.
31. Ormerod, D.W., 1973. A simple bole model. For. Chron. 49, 136-138.
32. Pinheiro, J.C., Bates, D.M., 2000. Mixed-effects Models in S and S-PLUS. Springer, New York, 528 pp.
33. Rawlings, J.O., Pantula, S.G., Dickey, D.A., 1998. Applied Regression Analysis: A Research Tool, 2nd ed. Springer, New York, 657 pp.
34. Seidel, K.W., 1985. A ponderosa pine-grand fir spacing study in central Oregon: results after 10 years. USDA For. Serv. Res. Note, PNW-RN-429, 7 pp.
35. Seidel, K.W., 1989. A ponderosa pine-lodgepole pine spacing study in central Oregon: results after 20 years. USDA For. Serv. Res. Pap. PNW-RP-410, 14 pp.
36. Smith, D.M., Larson, B.C., Kelty, M.J., Ashton, P.M.S., 1997. The Practice of Silviculture, 9th ed. Wiley, New York, 537 pp.
37. Tassisa, G., Burkhart, H.E., 1998. An application of mixed effects analysis to modeling thinning effects on stem profile of loblolly pine. For. Ecol. Manage. 103, 87-101.
38. Walters, D.K., Hann, D.W., 1986. Taper equations for six major conifer species in southwest Oregon. Forest Research Laboratory, Oregon State University, Corvallis, Research Bulletin 56, 41 pp.