## 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 67

Page 100

Model Presentation and Predictions

through 4 examined single-species population growth. Although we didn't

exclude the possibility that other species were important, we did not write explicit

...

Model Presentation and Predictions

**COMPETITIVE**INTERACTIONS Chapters 1through 4 examined single-species population growth. Although we didn't

exclude the possibility that other species were important, we did not write explicit

...

Page 101

Intraspecific

species. The logistic equation (Equation 2.1) is a model of intraspecific

becomes ...

Intraspecific

**competition**is**competition**that occurs among members of the samespecies. The logistic equation (Equation 2.1) is a model of intraspecific

**competition**because the per capita growth rate diminishes as the populationbecomes ...

Page 102

dN2 dt Equation 5.2

a and /? are critical to understanding the Lotka-Volterra model. a is a measure of

the effect of species 2 on the growth of species 1. If a = 1, then individuals of the ...

dN2 dt Equation 5.2

**COMPETITION**COEFFICIENTS The**competition**coefficientsa and /? are critical to understanding the Lotka-Volterra model. a is a measure of

the effect of species 2 on the growth of species 1. If a = 1, then individuals of the ...

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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