## 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

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Page 140

Because each predator is limited by a maximum consumption rate, more

predators are required to hold large victim populations at zero growth. When

these increasing victim isoclines intersect a vertical

equilibrium is ...

Because each predator is limited by a maximum consumption rate, more

predators are required to hold large victim populations at zero growth. When

these increasing victim isoclines intersect a vertical

**predator isocline**, theequilibrium is ...

Page 145

A Figure 6.1 3 (a) Effects of carrying capacity on the

predator population is limited by factors other than victim abundance, the

the predator ...

A Figure 6.1 3 (a) Effects of carrying capacity on the

**predator isocline**. If thepredator population is limited by factors other than victim abundance, the

**predator isocline**bends to the right. No matter how large the victim population,the predator ...

Page 146

Relative to the neutral equilibrium of the Lotka-Volterra model, clockwise

rotations of the isoclines lead to more stable equilibria; counterclockwise

rotations lead to less stable equilibria.

stability of the ...

Relative to the neutral equilibrium of the Lotka-Volterra model, clockwise

rotations of the isoclines lead to more stable equilibria; counterclockwise

rotations lead to less stable equilibria.

**predator isocline**also increases thestability 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