Sources of variation in the self-thinning boundary line for three species with varying levels of shade tolerance

Forest Science

Volumn 55, Issue 1, 2009, Pages 84-93

  Weiskittel, Aaron ^a   Gould, Peter ^b   Temesgen, Hailemariam ^c  

^a UNIVERSITY OF MAINE   (United States)

^b USDA FOREST SERVICE   (United States)

^c OREGON STATE UNIVERSITY   (United States)

Author keywords

Douglas fir; Pacific Northwest; Red alder; Self thinning; Stand density index; Stand dynamics; Stochastic frontier analysis; Western hemlock

Indexed keywords

DOUGLAS-FIR; PACIFIC NORTHWEST; RED ALDER; SELF-THINNING; STAND DENSITY INDEX; STAND DYNAMICS; STOCHASTIC FRONTIER ANALYSIS; WESTERN HEMLOCK;

GEOLOGIC MODELS; MAXIMUM LIKELIHOOD ESTIMATION; STATISTICAL METHODS;

FORESTRY;

ALNUS RUBRA; FORESTRY; PSEUDOTSUGA; STATISTICAL METHODS; TSUGA HETEROPHYLLA;

ALNUS; ALNUS RUBRA; CONIUM; PSEUDOTSUGA; PSEUDOTSUGA MENZIESII; PSEUDOTSUGA MENZIESII VAR. MENZIESII; TSUGA; TSUGA HETEROPHYLLA;

EID: 68349113937     PISSN: 0015749X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (45)

1. AIGNER, D., K. LOVELL, AND P. SCHMIDT. 1977. Formulation and estimation of stochastic frontier production function model. J. Econometrics 6:21-37.
2. AMOROSO, M.M., AND E.C. TURNBLOM. 2006. Comparing productivity of pure and mixed Douglas-fir and western hemlock plantations in the Pacific Northwest. Can. J. For. Res. 36:1484-1496.
3. BI, H. 2001. The self-thinning surface. For. Sci. 47:361-370.
4. BI, H. 2004. Stochastic frontier analysis of a classic self-thinning experiment. Aust. Ecol. 29:408-417.
5. BI, H., G. WAN, AND N.D. TURVEY. 2000. Estimating the self- thinning boundary line as a density-dependent stochastic biomass frontier. Ecology 81:1477-1483.
6. BONNER, G.M., R.J. DE JONG, P. BOUDEWYN, AND J.W. FLEWELLING. 1995. A guide to the STIM growth model. Canadian Forest Service, Pacific Yukon Region. Information Rep. BC-X-353. 38 p.
7. BRUCE, D. 1981. Consistent height-growth and growth-rate estimates for remeasured plots. For. Sci. 4:711-725.
8. BURNS, R.M., AND B.H. HONKALA. 1990. Silvics of North America. Vol. 1: Conifers. US Forest Service, Washington, DC. 675 p.
9. COELLI, T.J. 1996. A guide to FRONTIER 4.1: A computer program for stochastic frontier production and cost estimation. Centre for Efficiency and Production Analysis, University of New England. 33 p.
10. DAYMET. Daily surface weather data and climatological summaries. Available online at daymet.org; last accessed Sept. 30, 2008.
11. DE MONTIGNY, L., AND G. NIGH. 2007. Density frontiers for even-aged Douglas-fir and western hemlock stands in coastal British Columbia. For. Sci. 53:675-682.
12. DOWLING, C.D. 2003. Comparing structure and development of Dou- glas-fir old-growth, plantations, and young natural forests in western Oregon. Oregon State University, Corvallis, OR. 129 p.
13. GARBER, S.M., AND D.A. MAGUIRE. 2004. Stand productivity and development in two mixed-species spacing trials in the Central Oregon Cascades. For. Sci. 50(1):92-105.
14. GHOLZ, H.L. 1982. Environmental limits on aboveground net primary production, leaf area, and biomass in vegetation zones of the Pacific Northwest. Ecology 63:469-481.
15. HANN, D.W., D.D. MARSHALL, AND M.L. HANUS. 2003. Equations for predicting height-to-crown base, 5-year diameter growth rate, 5-year height growth rate, 5-year mortality rate, and maximum size-density trajectory for Douglas-fir and western hemlock in the coastal region of the Pacific Northwest. College of Forestry Research Laboratory, Oregon State University, Corvallis, OR. 85 p.
16. HARDWOOD SILVICULTURE COOPERATIVE. 2008. Available online at www.cof.orst.edu/coops/hsc/geninfo/index.htm; last accessed Jan. 6, 2009.
17. HARRINGTON, C.A. 1986. A method of site quality evaluation for red alder. US For. Serv. Gen. Tech. Rep. PNW-192. 22 p.
18. HYNYNEN, J. 1993. Self-thinning models for even-aged stands of Pinus sylvestris, Picea abies, and Betula penula. Scand. J. For. Res. 8:326-336.
19. JACK, S.B., AND J.N. LONG. 1996. Linkages between silviculture and ecology: An analysis of density management diagrams. For. Ecol. Manag. 86:205-220.
20. LONG, J.N. 1985. A practical approach to density management. For. Chron. 61:23-27.
21. MADGWICK, H.A.I., E.H. WHITE., G.K. XYDIAS, AND A.L. LEAF. 1970. Biomass of Pinus resinosa in relation to potassium nutrition. For. Sci. 16:154-159.
22. NIGH, G.D., AND P.J. COURTIN. 1998. Height models for red alder (Alnus rubra Bong.) in British Columbia. New For. 16:59-70.
23. PITTMAN, S.D., AND E.C. TURNBLOM. 2003. A study of self-thinning using coupled allometric equations: Implications for coastal Douglas-fir stand dynamics. Can. J. For. Res. 33:1661-1669.
24. POAGE, N.J., D.D. MARSHALL, AND M.H. MCCLELLAN. 2007. Maximum stand-density index of 40 western hemlock-Sitka spruce stands in southeast Alaska. West. J. Appl. For. 22:99-104.
25. PRETZSCH, H., AND P. BIBER. 2005. A re-evaluation of the Reineke's rule and stand density index. For. Sci. 51:304-320.
26. PUETTMANN, K.J., D.S. DEBELL, AND D.E. HIBBS. 1993a. Density management guide for red alder. Forest Research Laboratory, Oregon State University, Corvallis, OR. 6 p.
27. PUETTMANN, K.J., D.W. HANN., AND D.E. HIBBS. 1993b. Evaluation of the size-density relationships for pure red alder and Douglas-fir stands. For. Sci. 39:7-27.
28. PUETTMANN, K.J., D.E. HIBBS, AND D.W. HANN. 1992. The dynamics of mixed stands of Alnus rubra and Pseudotsuga menziesii: Extension of size-density analysis to species mixture. J. Ecol. 80:449-458.
29. REINEKE, L.H. 1933. Perfecting a stand-density index for evenaged forests. J. Agric. Res. 46(7):627-638.
30. REYNOLDS, J.H., AND E.D. FORD. 2005. Improving competition representation in theoretical models of self-thinning: A critical review. J. Ecol. 93:362-372.
31. SCOTT, W., R. MEADE, R. LEON, D. HYINK, AND R. MILLER. 1998. Planting density and tree-size relations in coast Douglas-fir. Can. J. For. Res. 28:74-78.
32. SMITH, N.J., AND D.W. HANN. 1984. A new analytical model based on the 3/2 power rule of self-thinning. Can. J. For. Res. 14:605-609.
33. STAGE, A.R. 1976. An expression for the effect of aspect, slope, and habitat type on tree growth. For. Sci. 22:457-460.
34. STERBA, H., AND R.A. MONSERUD. 1993. The maximum density concept applied to uneven-aged mixed-species stands. For. Sci. 39:432-452.
35. TANG, S., F.R. MENG, AND C.H. MENG. 1995. The impact of initial stand density and site index on maximum stand density index and self-thinning index in a stand self-thinning model. For. Ecol. Manag. 75:61-68.
36. TURNBLOM, E.C., AND T.E. BURK. 2000. Modeling self-thinning of unthinned Lake States red pine stands using nonlinear simultaneous differential equations. Can. J. For. Res. 30:1410-1418.
37. VANDERSCHAAF, C.L. 2004. Can planting density have an effect on the maximum size-density line of loblolly and slash pine? P. 115-126 in Northeastern and Southern Mensurationists joint conference, Doruska, P.F., and P.J. Radtke (eds.). Department of Forestry, Virginia Polytechnic Institute and State University, Blacksburg, VA.
38. VANDERSCHAAF, C.L., AND H.E. BURKHART. 2007. Comparison of methods to estimate Reineke's maximum size-density relation- ship species boundary slope. For. Sci. 53:435-442.
39. WEISKITTEL, A.R., D.W. HANN, A.A. BLUHM AND D.E. HIBBS. Modeling plantation red alder dominant height growth and development of a dynamic base-age invariant site index equation. Submitted to For. Ecol. Manag. In review.
40. WELLER, D.E. 1987. A reevaluation of the 3/2 power rule of self-thinning. Ecol. Monogr. 57:23-43.
41. WOODALL, C.W., P.D. MILES., AND J.S. VISSAGE. 2005. Determining maximum stand density index in mixed species stands for strategic-scale stocking assessments. For. Ecol. Manage. 216:367-377.
42. 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.
43. ZEIDE, B. 1987. Analysis of the 3/2 power law of self-thinning. For. Sci. 33:517-537.
44. ZEIDE, B. 2001. Natural thinning and environmental change: An ecological process model. For. Ecol. Manag. 154:165-177.
45. ZHANG, L., H. BI,. J.H. GOVE, AND L.S. HEATH. 2005. A comparison of alternative methods for estimating the self-thinning boundary line. Can. J. For. Res. 35:1507-1514.