EVE
Topic+9.+Population+Structure

# Multiply the conditional p by m x and add over all

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Multiply the conditional P by m x, and add over all ages. Like R 0 in that you add over all ages, but start with age A not age 0, and you have the A in the denominator.

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D. The odd thing about reproductive value is that it goes up before it goes down to zero. Why? Because early mortality may be significant, and you get no reproduction (e.g. before age 10). So a 10-yr old more “valuable” than a 1-yr old, because the former has made it to reproductive age. E. If you are a resource manager, you should cull animals with low reproductive value (older, and perhaps very young). Slobodkin had an idea about prudent predator. He noticed wolves ate younger and older moose – resource management? Class any other explanation? Come to class and find the answer (Hint: optimal diet).
VII. Leslie algebra. A. Last name of this scientist is Leslie. Professor Leslie . You don’t say Professor Tom (or do you?). B. Examples of age distributions Slide of Fig. 9.7 in text . C. Result is no matter where you start in terms of age distribution, population will eventually reach a Stable age distribution Def: the frequency of all age classes will be steady forevermore. It depends only on the x and m x . It is not yet stable for humans. D. Once reached, all ages grow or decline by same proportion and you have the exponential equation. Can derive r from the matrix of x, and m x . So then r = 0 or r > 0 or r < 0. E. Logistic growth is different and more realistic. There is no density-dependence in Leslie result. You can do the same operation for the logistic (which is density dependent), this would be much more complicated. VIII. Life tables can be used to predict extinction. Use these tables and add fluctuation in environment that might be caused by climate. For example, Bonnelli’s Eagle is an endangered species. Its population growth is more sensitive to variation in adult x than to variation in juvenile x , or to variation in m x .
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• Fall '08
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