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B. Matović, M. Koprivica, Z. Maunaga: PRIMJENAJEDINSTVENOG MODELAOBLIKADEBLASMREKE ... Šumarski list br. 1–2, CXXXVI (2012), 63-69 Max, T.A.,H.E.Burkhart,1976: Segmented poly-(Pinus pinaster Ait.) in Galicia (Northwestern nomial regression applied to taper equations.For Spain). Eur J Forest Res 124: 177–186. Sci22 (33): 283–289. Sloboda,B., 1984: Bestandesindividuelles biometriMirković, D., S.Banković,1993: Dendrometrija. sches Schaftformmodell zur Darstelung undVer- Zavod za udžbenike i nastavna sredstva, Beograd. gleich fon Formigkeit und Sortimentausbeute sowie Inventur. Tagungsbereich d. Sektion Er Muhairwe,CK., 1999:Taper equation for Eucalyptus pilularis and Eucalyptus grandis for the tragskunde, Neustadt. north coast in New SouthWales, Australia. For Sloboda,B., D. Gaffrey, N.Matsumara,1998: Ecol Manag113: 251–269. Erfasung individueller Baumschaftformen und Newnham,R., 1992:Variable-formtaperfunctions ihrer Dynamik durch Spline-Funktionen und forfourAlbertatreespecies.Can JFor Res 22, Verallgemeinerung durch lineare Schaftformmo210– 223. delle.Allg Forst Jagdztg169 (2): 29–38. Steingass,F.,1996: Beschreibung der Schaftprofile handbook for science and engineering. Springer, Rade, L., B. Westergren, 2004: Mathematics von Douglasien. Diplomarbeit, Forstw. Fachbe- Berlin Heidelberg New York reich, Univ. Goettingen. Stojanović,O., 1976: Primjena linearne korelacije Primena modifikovane Brinkove funkcije za Radonja,P., M.Koprivica, B.Matović,2005: pri izboru metoda mjerenja taksacionih veličina. modeliranje profila i zapremine stabla. Šumar Radovi Šumarskog fakulteta i Instituta za šumarstvo, br.4, LVII, str.1–10. Beograd. stvo u Sarajevu, godina XIX, sveska 1: 149–154. Radonja,P., B.Matović, M.Koprivica,2007: Fang,Z., B.E.Borders,R.L.Bailey,2000:Com- Osobine i primena savremenih funkcija za mo patible volume-taper models for loblolly and deliranje oblika vretena stabla. Šumarstvo, br.1 slash pine based on a system with segmented2, LIX, str.49–58. Beograd. stem formfactors. For Sci 46, 1–12. Riemer,T., K.von Gadow, B. Sloboda.,1995: Hui, G.Y., K.von Gadow,1997: Entwicklung und EinModellzurBeschreibungvonBaumschaf- Erprobung eines Einheitsschaftmodells fuer die ten.AllgForstJagdztg166 (7): 144–147. BaumartCunninghamia lanceolata. Forstw Cbl 116:315–321. Rojo,A., X.Perales,F.Sanchez-Rodriguez, J.G.Alvarez-Gonzalez, K.von Gadow, Chapra,SC., RP. Canale, 2002: Numerical methods 2005: Stem taper functions for maritime pine for engineers. McGraw-Hill, Boston SUMMARY: By applying modified Brink’s function, this paper presents the unique generalized taper model of Norway spruce tree, developed for the area of Bosnia and west Serbia. The objective of this research is adapt generalized taper models (Models 1 and 2) for trees presented in the paper Matović, et al. (2007), for practical use in forestry. The significant quality of the modified Brink’s function is the correlation of the characteristics of individual trees and stands and the function parameters, so in this way generalized taper models can be calculated for the use in a definite geographic region. The study of Norway spruce taper is based on the data collected from 86 even-aged stands in the region of Bosnia and west Serbia, which is adjacent to Bosnia. The total number of model trees is 156, and the number of data pairs (diameter-height) is 2028. The original parameters i, p and q of the modified Brink’s function were first calculated for all model trees by the optimisation method - equations (1). By applying the multiple regression method, a link has been established between original values of parameters i, p and q, and characteristics of individual trees (diameter at breast height and tree height), i.e. Model 3 has been obtained. Model 3 is consisted of three functions used for determining the parameters of generalized taper model i, p and q. Unknown parameters of the three |