Height growth modeling using second order differential equations and the importance of initial height growth

Forest Ecology and Management

Volumn 97, Issue 2, 1997, Pages 165-172

  Leary, Rolfe A ^a   Nimerfro, Kevin ^a   Holdaway, Margaret ^a   Brand, Gary ^a   Burk, Tom ^b   Kolka, Randall ^b   Wolf, Ann ^b  

^a NORTH CENTRAL RESEARCH STATION   (United States)

^b UNIVERSITY OF MINNESOTA   (United States)

Author keywords

Height growth; Lake States; Populus tremuloides; Second order differential equations

Indexed keywords

HEIGHT GROWTH; MODELLING; QUAKING ASPEN;

USA;

POPULUS TREMULOIDES; SALICACEAE;

EID: 0030778253     PISSN: 03781127     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0378-1127(97)00097-2     Document Type: Conference Paper

References (23)

1. Alban, D., 1972. An improved growth intercept method for estimating site index of red pine. US For. Serv. North Cent. For. Exp. Stn. Res. Pap., NC-80. 7 p.
2. Alban, D., 1974. Soil variation and sampling intensity under red pine and aspen in Minnesota. US For. Serv. North Cent. For. Exp. Stn. Res. Pap., NC-106. 10 p.
3. Alban, D., 1979. Estimating site potential from the early growth of red pine in the Lake States. US For. Serv. North Cent. For. Exp. Stn. Res. Pap., NC-166. 7 p.
4. Alban, D., Perala, D., Jurgensen, M., Ostry, M., Probst, J., 1991. Aspen ecosystem properties in the Upper Great Lakes. US For. Serv. North Cent. For. Exp. Stn. Res. Pap., NC-300. 47 p.
5. Bakuzis, E., 1959. Synecological coordinates in forest classification and in reproduction studies. Ph.D. Dissertation. University of Minnesota. 244 p.
6. Bakuzis, E., Kurmis, V., 1978. Provisional list of synecological coordinates and selected ecographs of forest and other plant species in Minnesota. Staff Series Paper Number 5. Department of Forest Resources, University of Minnesota. 31 p.
7. Bellman, R., Kalaba, R., 1965. Quasilinearization and nonlinear boundary-value problems. Elsevier, New York. 206 p.
8. Black, P., 1966. Thornthwaite's Mean Annual Water Balance. Tech. Pub. No. 92 of the State University College of Forestry, Syracuse, New York.
9. Compte, W., 1994. A Monte Carlo comparison of two approaches for calibrating differential equation models. A Plan B paper submitted to the Faculty of the Graduate School of the University of Minnesota. 143 p.
10. Dyer, M., Bailey, R., 1987. A test of six methods for estimating tree heights from stem analysis data. Forest Science 33, 3-13.
11. Ferguson, I.S., Leech, J.W., 1978. Generalized least squares estimation of yield functions. Forest Science 24, 27-42.
12. Grigal, D., Bloom, P., 1985. Modification of the model of soil acidification. Report to Northern Stares Power Company, Minneapolis, MN.
13. Guay, R., Gagnon, R., Morin, H., 1992. A new automatic and interactive tree ring measurement system based on a line scan camera. For. Chron. 68, 138-141.
14. Hamlin, D., Leary, R., 1987. Methods for using an integro-differential equation as a model of tree height growth. Can. J. For. Res. 17, 353-356.
15. Holdaway, M., 1994. The microcomputer scientific software series 9: User's Guide to Geo-CLM: Geostatistical Interpolation of the Historical climatic record in the Lake States. US For. Serv. North Cent. For. Exp. Stn. Gen. Tech. Rep., NC-167. 34 p.
16. Leary, R., 1970. System identification principles in studies of forest dynamics. US For. Serv. North Cent. For. Exp. Stn. Res. Pap., NC-45. 38 p.
17. Miller, M., Cooper, T., 1993. Legislative Committee on Minnesota Resources Project Report: Impacts of intensified forest management and atmospheric change on nutrient cycling and tree species suitability. Objective B: Estimating state wide impacts. Staff Report, Department of Soil, Water, and Climate, Univ. of Minnesota, St. Paul.
18. Mroz, G., Reed, D., 1991. Forest sampling efficiency: Matching laboratory analyses and field sampling procedures. Soil Sci. Soc. Am. J. 55, 1413-1416.
19. Palik, B., Pregitzer, K., 1995. Variability in early height growth rate of forest trees: implications for retrospective studies of stand dynamics. Can. J. For. Res. 25, 767-776.
20. Schlaegel, B., 1975. Estimating aspen volume and weight for individual trees, diameter classes, or entire stands. US For. Serv. North Cent. For. Exp. Stn. Gen. Tech. Rep., NC-20. 16 p.
21. Spurr, S., 1952. Forest inventory. Ronald Press, New York. 476 p.
22. Velleman, P., 1992. Data Desk Statistics Guide, Volume II. Data Description, Inc. Ithaca, New York.
23. Wilkinson, L., 1990. SYGRAPH: The System for Graphics. Evanston, Illinois. SYSTAT, Inc. 547 p.