## A Primer of EcologyA 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. |

### From inside the book

Results 1-3 of 10

Page 6

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

time f, and e ...

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 attime f, and e ...

Page 13

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 (

time in the ...

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" oftime in the ...

Page 213

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 '

, ...

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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#### LibraryThing Review

User Review - dougb56586 - www.librarything.comThis 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

### Contents

Logistic Population Growth | 25 |

AgeStructured Population Growth | 49 |

MODEL PRESENTATION AND PREDICTIONS | 82 |

Copyright | |

13 other sections not shown

### Common terms and phrases

age class Allee effect assumptions axis birth and death birth rate calculate carrying capacity Chapter coexist cohort colonization competition constant corals death rate decrease density density-dependent depend discrete dN/dt ecology Equation 1.2 equilibrium model equilibrium point Euler equation example exponential growth exponential growth model Expression extinction rate feeding rate Figure functional response grassland habitat immigration rate instantaneous rate intersection interspecific competition iteroparous K-selection Leslie matrix logistic growth Lotka-Volterra model MacArthur-Wilson model mathematical maximum metapopulation metapopulation models number of individuals number of species offspring passive sampling model patches pioneer species plot population cycles population growth rate population sizes predator and victim predator isocline predator population prey primer propagule rate of increase red grouse represents reproductive value rescue effect semelparous simple source pool species richness species-area relationship stage vector state-space graph survivorship curve tion transition matrix turnover ulation variance victim abundance victim isocline victim population zero