A Primer of Ecology
A Primer of Ecology presents a concise but detailed exposition of the most common mathematical models in population and community ecology. It is intended to demystify ecological models and the mathematics behind them by deriving the models from first principles. The Primer explains in detail basic concepts of exponential and logistic population growth, age-structured demography, metapopulation dynamics, competition, predation, island biogeography, and, in a chapter new to this edition, succession. The book may be used as a self-teaching tutorial by students, as a primary textbook, or as a supplemental text to a general ecology textbook.
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However, if Equation 1.1 is integrated (following the rules of calculus; see
Appendix), the result can be used to project, or predict, population size: Nt =
N0eri Equation 1.2 N0 is the initial population size, Nt is the population size at
time f, and e ...
Finally, if the time step is infinitely small, the curve is no longer jagged but is
smooth, and we have arrived again at the continuous model of exponential
growth (Equation 1.2). The continuous model essentially "connects the dots" of
time in the ...
Integrating both sides gives: lnNt -lnNg = rt-rtq Expression A.13 Rearranging the
terms gives: ]n(N,/N0) = r(t-t0) Nf/N0=er(f_to) Expression A.14 Expression A.15
Expression A. 16 Substituting tq = 0 gives: Nt = N0e ' Equation 1.2 Mathematically
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This is a very good introduction to the mathematical models used in population dynamics. The author begins with a simple exponential model of population growth, gradually extends the model to account ... Read full review
Logistic Population Growth
AgeStructured Population Growth
MODEL PRESENTATION AND PREDICTIONS
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