Analysis of different base models and methods of site model derivation for scots pine

Forest Science

Volumn 52, Issue 2, 2006, Pages 187-197

  Cieszewski, Chris J ^a   Zasada, Michał ^a,b   Strub, Mike ^a,c  

^a UNIVERSITY OF GEORGIA   (United States)

^b FOREST RESEARCH INSTITUTE   (Poland)

^c WEYERHAEUSER COMPANY   (United States)

Author keywords

Dynamic equations; Growth model; Site index model; Site productivity; Yield tables

Indexed keywords

MATHEMATICAL MODELS; RANDOM PROCESSES; REGRESSION ANALYSIS;

DYNAMIC EQUATIONS; GROWTH MODEL; SITE INDEX MODEL; SITE PRODUCTIVITY; YIELD TABLES;

FORESTRY;

MATHEMATICAL MODELS; PINUS; RANDOM PROCESSES; REGRESSION ANALYSIS;

PINUS SYLVESTRIS;

EID: 33646258233     PISSN: 0015749X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (55)

1. BAILEY, R.L. AND J.L. CLUTTER. 1974. Base-age invariant polymorphic site curves. For. Sci. 20:155-159.
2. BIAŁOBOK, S. 1970. Distribution in Eurasia. P. 72-78 in Pine-Pinus sylvestris. Popular Scientific Monographs "Our Forest Trees", Białobok, S. (Ed.), Vol. 1. Polish Academy of Sciences, Institute of Dendrology and Kornik Aboretum.
3. BORDERS, B.E., R.L. BAILEY, AND K.D. WARE. 1984. Slash pine site-index from a polymorphic model by joining (splining) nonpolynomial segments with an algebraic difference method. For. Sci. 30:411-423.
4. BRUCHWALD, A. 1977. Change in top height of pine forest stands with age. Bull. Acad. Pol. Sci., Ser. Biol. 5:335-342.
5. BRUCHWALD, A. 1985. Model wzrostowy MDI-1 dla sosny. Las Pol. 9:10, 15 [in Polish].
6. BRUCHWALD, A. 1988. Introductory program of the MDI-1 growth model for Scots pine. Ann. Warsaw Agric. Univ. SGGW-AR, For. Wood Technol. 36:3-9.
7. BRUCHWALD, A. AND A. KLICZKOWSKA. 1997. Ksztahowanie siȩ bonitacji dla drzewostanów sosnowych Polski. Prace IBL, s.A, 838 [in Polish].
8. BRUCHWALD, A. AND A. KLICZKOWSKA. 2000. Kształtowanie siȩ bonitacji dla drzewostanów sosnowych Polski (Spatial variation of pine stand quality in Poland). P. 30-41 in Przestrzenne zróżnicowanie wzrostu sosny. Fundacja Rozwój SGGW [in Polish with English abstract and summary].
9. BRUCHWALD, A., K. MICHALAK, L. WRÓBLEWSKI, AND M. ZASADA. 2000. Analiza funkcji wzrostu wysokości dla rózṅych regionów Polski (Height growth of Scots pine in various regions of Poland). P. 84-91 in Przestrzenne zróżnicowanie wzrostu sosny. Fundacja Rozwój SGGW [in Polish with English abstract and summary].
10. CARLISLE, A. AND A.H.F. BROWN. 1968. Pinus sylvestris L. J. Ecology 56(1):269-307.
11. CILP. 2000. Report on the status of forests in Poland 1999. The State Forests Information Center, Warsaw, Poland. 40 p.
12. CIESZEWSKI, C.J. 2000. Analytical solution to the generalized log-logistic equation. For. Sci. 46:291-296.
13. CIESZEWSKI, C.J. 2001. Three methods of deriving advanced dynamic site equations demonstrated on inland Douglas-fir site curves. Can. J. For. Res. 31(1):165-173.
14. CIESZEWSKI, C.J. 2002. Comparing fixed- and variable-base-age polymorphic site equations having single versus multiple asymptotes. For. Sci. 48(1):7-23.
15. CIESZEWSKI, C.J. 2003. Developing a well-behaved dynamic site equation using a modified Hossfeld IV function F3 = (axm)/(c + xm - 1), a simplified mixed-model and scant subalpine fir data. For. Sci. 49:539-554.
16. CIESZEWSKI, C.J. AND R.L. BAILEY. 2000. Generalized algebraic difference approach: A new methodology for derivation of biologically based dynamic site equations. For. Sci. 46:116-126.
17. CIESZEWSKI, C.J. AND I.E. BELLA. 1989. Polymorphic height and site index curves for lodgepole pine in Alberta. Can. J. For. Res. 19:1151-1160.
18. CIESZEWSKI, C.J., I.E. BELLA, AND D. WALKER. 1999. Implementation of a base age invariant height model for lodgepole pine in company timber supply analysis. For. Chron. 75:1-3.
19. CIESZEWSKI, C.J., M.W. HARRISON, AND S.W. MARTIN. 2000. Examples of practical methods for unbiased parameter estimation in self-referencing functions. P. 122-132 in Proc. First International Conference on Measurements and Quantitative Methods and Management, Cieszewski, C.J. (Ed.). Jekyll Island, GA, Nov. 17-18, 1999. The University of Georgia, Athens, GA.
20. CIESZEWSKI, C.J. AND G. NIGH. 2002. A dynamic equation for a Sitka spruce height-age model. For. Chron. 78(5):1-5.
21. CIESZEWSKI, C.J. AND M. ZASADA. 2002. Dynamiczna forma anamorficznego modelu bonitacyjnego dla sosny pospolitej w Polsee (A dynamic form of the anamorphic site index model for Scots pine in Poland). Sylwan 7:17-24 [in Polish with English abstract and summary].
22. CLUTTER, J.L., J.C. FORTSON, L.V. PIENAAR, AND G.H. BRISTER, AND R.L. BAILEY. 1983. Timber management: A quantitative approach. John Wiley and Sons, Inc. New York. 333 p.
23. CRITCHFIELD, W.B. AND W.B. LITTLE JR. 1966. Geographic distribution of the pines of the world. USDA For. Serv. Misc. Publ. 991
24. CURTIS, R.O., D.J. DEMARS, AND F.R. HERMAN. 1974. Which dependent variable in site-index-height-age regression? For. Sci. 20:74-87.
25. Ek, A.R. 1971. A formula for white spruce site index curves. For. Res. Note 161. Department of Forestry, University of Wisconsin, Madison, WI, p. 2.
26. ELFVING, B. AND A. KTVISTE. 1997. Construction of site index equations for Pinus sylvestris L. using permanent plot data in Sweden. For. Ecol. Manag. 98:125-134.
27. ERIKSSON, H., U. JOHANSSEN, AND A. KIVISTE. 1997. A site-index model for pure and mixed stands of Betula pendula and Betula pubescens in Sweden. Scand. J. For. Res. 12:149-156.
28. ERTELD, W. 1958. Badania na stalych lesnych powierzchniach doœwiadczalnych i ich znaczenie dla polsko-niemieckiej współpracy naukowej. Sylwan 10:19-24 [in Polish].
29. GARCIA, O. 1983. A stochastic differential equation model for the height growth of forest stands. Biometrics 39:1059-1072.
30. GOELZ, J.C.G., AND T.E. BURK. 1996. Measurement errors causes bias in site index equations. Can. J. For. Res. 26:1586-1593.
31. GOMPERTZ, B. 1825. On the nature of the function expressive of the law of human mortality, and a new mode of determining the value of live contingencies. Phil. Trans. Roy. Soc. 182:513-585.
32. GRAVES, H.S. 1910. Forest mensuration. John Wiley & Sons, New York, First Edition: p. 325-326.
33. HOSSFELD, J.W. 1822. Mathematik für Forstmänner, Ökonomen und Cameralisten. Gotha, T. 4. Bd., S. 310 [in German].
34. HUSCH, B., C.I. MILLER, AND T.W. BEERS. 1972. Forest Mensuration. Second Edition. The Ronal Press Company, New York.
35. JAROSZ, K. AND B. KŁAPEĆ. 2002. Modelowanie wzrostu wysokości przy pomocy funkcji Gompertza (Height growth modelling using the Gompertz function). Sylwan 4:35-42 [in Polish with English abstract and summary].
36. JOHANSSON, T. 1999. Site index curves for common alder and grey alder growing on different types of forest soil in Sweden. Scand. J. Forest. Res. 14(5):441-453.
37. KIVISTE, A. 1997. Eesti riigimetsa korguse, diameetri ja tagavara vanuseridade diferentsmudel 1984-1993a. Metsakorralduse takseerkirjelduste andmeil. (Difference equations of stand height, diameter, and volume depending on stand age and site factors for Estonian state forests on the basis of 1984-1993 forest inventory data). Eesti Pollumajandusulikooli Teadustoode kogumik 189:63-75 [in Estonian].
38. KIVISTE, A. 1998. Estimation of Estonian forest growth change in 1951-1994 on the basis of forest inventory data. P. 191-196 in Climate change studies in Estonia. Kallaste T. and P. Kuldna (Eds.). Stockholm Environment Institute and Estonian Ministry of Environment. Tallinn, Estonia.
39. KRUMLAND, B., AND H. ENG. 2005. Site index systems for major young-growth forest and woodland species in northern California. California Department of Forestry and Fire Protection. Cal. For. Rep. No. 4. 219 p.
40. MONSERUD, R.A. 1984. Height growth and site-index curves for inland Douglas-fir based on stem analysis data and forest habitat type. For. Sci. 30:943-965.
41. NEWNHAN, R.M. 1988. A modification of the Ek-Payandeh non-linear regression model for site index curves. Can. J. For. Res. 18:115-120.
42. NORTHWAY, S.M. 1985. Fitting site index equations and other self-referencing functions. For. Sci. 31(1):233-235.
43. PALAHÍ, M., M. TOMÉ, T. PUKKALA, A. TRASOBARES, AND G. MONTERO 2004. Site index model for Pinus sylvestris in northeast Spain. For. Ecol. Manag. 187:35-47.
44. PAYANDEH, B. 1974. Formulated site index curves for major timber species in Ontario. For. Sci. 20:143-144.
45. PIROGOWICZ, T. 1978. Wpływ trzebieży na strukturȩ i przyrost mia ższości drzewostanów sosnowych. Prace IBL, 537-541:147-154 [in Polish].
46. PRODAN, M. 1961. Forstliche Biometrie. BLV München, Bonn, and Wien.
47. RIVAS, J.J.C., J.G.Á. GONZÁLEZB, A.D.R. GONZÁLEZB, AND K. VON GADOW. 2004. Compatible height and site index models for five pine species in El Salto, Durango (Mexico). For. Ecol. Manag. 201:145-160.
48. SCHUMACHER, F.X. 1939. A new growth curve and its application to timber yield studies. J. For. 37:819-820.
49. SCHWAPPACH, A. 1896. Neuere Untersuchungen über Wachstum und Ertrag normaler Kiefernbestande in der norddeutschen. Tiefebene. Berlin [in German].
50. SCHWAPPACH, A. 1908. Die Kiefer. Wirtschaftliche und statische Untersuchungen der Forstlichen Abteilung der Hauptstation des forstlichen Versuchswechungens in Eberswalde. Verlag J. Neumann [in German].
51. STRUB, M. AND C.J. CIESZEWSKI. 2005. Base-age invariance properties of two techniques for estimating the parameters of site index models. For. Sci. 52:180-184.
52. STAGE, A.R. 1963. A mathematical approach to polymorphic site index curves for grand fir. For. Sci. 9:167-180.
53. STASZKIEWICZ, J. 1970. Systematics and variation. P. 52-71 in Scots Pine-Pinus sylvestris. Białobok, S. (Ed.). Popular Scientific Monographs "Our Forest Trees", Vol. 1. Polish Academy of Sciences, Institute of Dendrology and Kórnik Arboretum.
54. SZYMKIEWICZ, B. 1949. Rozszerzenie tablic zasobności Schwappacha dla sosny o klasȩ Ia. Sylwan 3-4:76-93. [in Polish]
55. TRINCADO, G. V., A. KIVISTE, AND K.V. GADOW. 2003. Preliminary site index models for native Roble (Nothofagus obliqua) and Rauli (N. alpina) in Chile. NZ J. For. Sci. 32(3):322-333.