## 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 53

Imagine that we have a

We follow this

of the number of individuals that have survived to the start of each new year.

Imagine that we have a

**cohort**of individuals that were all born at the same time.We follow this

**cohort**from birth until all the individuals have died. We keep trackof the number of individuals that have survived to the start of each new year.

Page 54

To calculate l(x), divide the number of survivors of age x [S(x)] by the size of the

original

represents the survivorship of the

the ...

To calculate l(x), divide the number of survivors of age x [S(x)] by the size of the

original

**cohort**[S(0)]: Equation 3.1 The first entry in the l(x) column is 1(0). Itrepresents the survivorship of the

**cohort**to birth. By definition, all individuals inthe ...

Page 233

followed until death. A

rates of different ages and to construct the l(x) schedule for the population.

**cohort**A group of individuals in a population, all born at the same time, that arefollowed until death. A

**cohort**analysis allows us to directly measure the mortalityrates of different ages and to construct the l(x) schedule for the population.

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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