Download PDF by T. Royama: Analytical Population Dynamics

By T. Royama

ISBN-10: 041275570X

ISBN-13: 9780412755705

ISBN-10: 9401129169

ISBN-13: 9789401129169

A wisdom of animal inhabitants dynamics is vital for the correct administration of traditional assets and the surroundings. This publication, now on hand in paperback, develops simple recommendations and a rigorous technique for the research of animal inhabitants dynamics to spot the underlying mechanisms.

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At t= -00. 22) to: t lim L t-oo j = - t (l-ljl/t)PRRIJI=O. 23a) The above weighted sum of the sequence {PRR(j)} is called the Caesaro sum (Priestly, 1981; p. 320). Thus, under the stationary series of reproductive rates, the second requirement for population persistence (the requirement for population regulation) stipulates that the Caesaro sum of the autocorrelations PRR(j) vanishes in the limit. 22), the requirement can be restated as: t lim L t-OOj=l (l-j/t)PRR(j)= -i. 1R = 0, is met. 6 ECOLOGICAL MECHANISM UNDERLYING POPULATION REG ULA TION In deducing the statistical requirements for population persistence in the preceding sections, I have made no particular assumption as to the underlying mechanism.

33) - would always be density-dependent. 7, a correlation between net reproductive rate and population density (after the removal of population trend, if any) is necessarily negative in every regulated population no matter what regulates it. Therefore, in the wide sense, density-independent regulation cannot exist by definition, and the term density-dependent regulation is tautological and meaningless. 3 On the idea of detecting density dependence and population regulation To conclude the present chapter, I attempt to answer the oft-asked question: Can we detect the involvement of density-dependent factors in a population process and test population regulation?

24) where R t is, as before, the log reproductive rate over the tth generation (cf. Fig. 2); X is, in general, a set of log population densities (X" X t - 1 , X t - 2 , •• • ), the basic elements of the measures (parameters) of the density-dependent factors; and Z represents the set of measures of densityindependent factors. The notation f, the usual mathematical notation for a 'function', translates these sets of the measures of the factors involved into reproductive rate and, thus, its ecological connotation is the 'effects' of the set of factors, manifesting themselves in fecundity, mortality or dispersal rate.

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Analytical Population Dynamics by T. Royama


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