Summary
A basic problem associated with choosing category size in a stage projection matrix is described. “Errors of estimation” are large if the category size is chosen too small and “errors of distribution” are large if the category size is chosen too large. An approximate technique of balancing these two error types is suggested as a solution to this dilemma.
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Bosch, C., Redwoods, A.: A population model. Science 172, 345–349 (1971)
Goodman, L.A.: An elementary approach to the population projection matrix and to the mathematical theory of population growth. Demography V, 382–409 (1968)
Harper, J.L., White, J.: The demography of plants. Ann. Rev. Ecol. Syst. 5, 419–463 (1972)
Hartshorn, G.S.: The ecological life history and population dynamics of Pentaclethra macroloba, a tropical wet forest dominant and Stryphnodendron excelsum, an occasional associate. Ph.D. Thesis, Univ. of Wash., 118 pp. (1972)
Keyfitz, N.: Introduction to the mathematics of population. Reading, Mass: Addison-Wesley 1968
Keyfitz, N., Flieger, W.: Population. Facts and methods of demography 613 pp. San Francisco: Freeman 1971
Lefkovitch, L.P.: The study of population growth in organisms grouped by stages, Biometrics 21, 1–18 (1965)
Lefkovitch, L.P.: The effects of adult emigration on populations of Lasioderma serricorne. Oikos 15, 200–210 (1965a)
Leslie, P.H.: The use of matrices in certain population mathematics. Biometrika 33, 183–212 (1945)
Leslie, P.H.: Some further notes on the use of matrices in population mathematics. Biometrika 35, 213–245 (1948)
Lewis, E.G.: On the generation and growth of a population. Sankhya 6, 93–96 (1942)
Lotka, A.J.: Elements of mathematical biology. Baltimore: Williams and Willkins, 1925 (Dover reprint, 1956)
Vandermeer, J.: On the construction of the population projection matrix for a population grouped in unequal stages. Biometrics 31, 239–242 (1975)
Werner, P.A.: Predictions of fate from rosette size in teasel (Dipsacus fullonum L.). Oecologia (Berl.) 20, 197–201 (1975)
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Vandermeer, J. Choosing category size in a stage projection matrix. Oecologia 32, 79–84 (1978). https://doi.org/10.1007/BF00344691
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DOI: https://doi.org/10.1007/BF00344691