By T. Royama

ISBN-10: 041275570X

ISBN-13: 9780412755705

ISBN-10: 9401129169

ISBN-13: 9789401129169

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

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Let us also assume that the set X consists only of Xt. [I shall consider in Chapter 2 a more general situation in which densities in the past generations, X t - 1 ,Xt - 2, ... ] Thus, the situation we consider here is: Rt=f(X,)+z; z=arbitrary constant. 30) Now, recall the relationship in Fig. e. Rt>O) approaches 1 Ecological mechanism 25 as X, decreases, whereas the probability approaches 0 as X, increases. 31) respectively. 30), the plot of R, against X" must cross the X, axis on which R,=O with a negative slope at least once somewhere within a finite interval at X =X*, say.

6), the con verse is not necessarily true. Furthermore, the simple regression is useless if the effect of the factor concerned depends on densities in the past few generations (to be discussed in Chapters 2 and 3). 23)? It seems to be a natural and logical alternative. Unfortunately, it is not without difficulties, some very serious. To explain in simple terms, I assume that the series of log net reproductive rate {R,] is stationary. e. 52) 1 and replacing PRR(j) with the sample autocorrelation coefficient rRR(j), we ha ve the sample statistic: S, = , I j~ The test would be to corapare S, (1- j/t)rRR(j).

23), we may say that the regulation of the population is feasible under the Ecological mechanism 21 circumstances. Consider further that at a subsequent moment, the process was slightly (that is, not in a destructive manner) perturbed by an additional set of factors. 23), let us say that the regulation of the population is robust. If, on the other hand, the requirement is no longer satisfied after the perturbation, we say that the regulation is fragile. Our particular interest here is to find the type of ecological process that ensures robust regulation.

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Analytical Population Dynamics by T. Royama

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