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 right kind administration of usual assets and the surroundings. This e-book, now to be had in paperback, develops simple techniques and a rigorous technique for the research of animal inhabitants dynamics to spot the underlying mechanisms.

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25) Here, g translates the measures Z of the density-independent factors involved into their effects on R t • For simplicity, however, g(Z) may be denoted by z. e. 26) Assume, for simplicity and without loss of generality in conclusion, that {Zt} is a stationary stochastic process with the mean Jiz and autocovariances yzz(j). l5d), we see that the regulation of the population requires lim t L t-OOj=l (l-jjt)Yzz(j)= -(lj2)YzAO). 6). However, such a theoretical mechanism of population regulation is fragile and, hence, is unlikely to exist in the real world, as explained below.

The method is widely adopted, despite a scepticism over the fact that a least-square regression coefficient tends to be negatively biased and could, thereby, distort the judgement. Nonetheless, nobody has questioned in principle the idea of appealing to a statistical method to detect density dependence in a mortality factor, because everyone has tacitly accepted the notion of density dependence in the wide sense. , 1989; Reddingius and Den Boer, 1989; Den Boer and Reddingius, 1989). [It is true that a negative bias results when: (1) the data series is short (Mealzer, 1970; St.

26) is subjected to perturbation by an additional set of density-independent factors measured in, say, U, whose effect U t on R t 24 Basic properties and structure of population processes is an uncorrelated random variable with the mean flu and variance Yuu(O). e. 28) Because the U are uncorrelated random numbers, both Cov(u t, Ut +j),j =1=0, and Cov(Zt, Ut+ j), - 00

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Analytical Population Dynamics by T. Royama

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