Conclusions Stage’s Solution to additivity is not unique, may or may not be optimal. Long’s conclusion with uneven aged stands may be naïve, because maximum may change with changes in structure. Slope may change as well (Sterba & Monserud), causing problems with application However, MCW functions imply consistency across diameter distributions with a stable slope near Reineke’s 1.6 and a stable maximum for ponderosa pine.
References Curtis, R.O. 1971. A tree area power function and related stand density measures for Douglas-fir. For. Sci. 17:146-159. Long, J.N. 1995. Using stand density index to regulate stocking in uneven-aged stands. P. 111-122 In Uneven-aged management: Opportunities, constraints and methodologies. O’Hara, K.L. (ed.) Univ. Montana School of For./ Montana For. And Conserv. Exp. Sta. Misc. Publ. 56. Long, J.N. and T.W. Daniel. 1990. Assessment of growing stock in uneven-aged stands. West. J. Appl. For. 5(3):93-96 Reineke, L.H. 1933. Perfecting a stand-density index for even-aged forests. J. Agric. Res. 46:627-638. Shaw J.D. 2000. Application of stand density index to irregularly structured stands. West. J. Appl. For. 15(1):40-42. Sterba, H. and R.A. Monserud. 1993. The maximum density concept applied to uneven-aged mixed species stands. For. Sci. 39:432-452. Sterba, H. 1987. Estimating potential density from thinning experiments and inventory data. For. Sci. 33:1022-1034. Stage, A.R. 1968. A tree-by-tree measure of site utilization for grand fir related to stand density index. USDA For. Serv. Res. Note INT-77. 7 p. Zeide, B. 1983. The mean diameter for stand density index. Can. J. For. Res. 13:1023-1024.
Some Other Interesting SDI-Related Stuff Chisman, H.H. and F.X. Shumacher. 1940. On the tree-area ratio and certain of its applications. J. For. 38:311-317. Curtis, R.O. 1970. Stand density measures: an interpretation. For. Sci. 16:403- 414. Lexen, B. 1939. Space requirements of ponderosa pine by tree diameter. USDA, Forest Service, Southwestern Forest and Range Experiment Station Res. Note 63. 4 p. Mulloy, G.A. 1949. Calculation of stand density index for mixed and two aged stands. Canada Dominion Forest Serv. Silv. Leaflet 27. 2p. Oliver, W.W. 1995. Is self-thinning in ponderosa pine ruled by Dendroctonus bark beetles? In: Eskew, L.G. comp. Forest health through silviculture. Proceedings of the 1995 National Silviculture Workshop; 1995, May 8-11; Mescalero New Mexico. General Technical Report RM-GTR-267. Fort Collins CO: USDA, Forest Service, Rocky Mountain Forest and Range Experiment Station. 213-218. Schnur, G.L. 1934. Reviews. J. For. 32(3):355-356. Spurr, S.H. 1952. Forest Inventory. Ronald Press, New York. Pages 277-288