## 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 20

Page 61

The

describes the changes in population size due to mortality and reproduction (

Leslie 1945). If there are k age classes, the

It always has ...

The

**Leslie matrix**, named after the population biologist Patrick H. Leslie,describes the changes in population size due to mortality and reproduction (

Leslie 1945). If there are k age classes, the

**Leslie matrix**is a k x k square matrix.It always has ...

Page 62

All other entries in the

possible. Individuals cannot remain in the same age class from one year to the

next, so the diagonals must equal zero. Similarly, individuals cannot skip or

repeat age ...

All other entries in the

**Leslie matrix**are 0 because no other transitions arepossible. Individuals cannot remain in the same age class from one year to the

next, so the diagonals must equal zero. Similarly, individuals cannot skip or

repeat age ...

Page 261

147-148 Leslie, Patrick H., 61, 238

describing age distribution, 62 reproductive value and, 65, 68-69 stage-

structured growth and, 71 Life history strategies, 69-71 loop diagrams (illus.), 72-

73, 77 ...

147-148 Leslie, Patrick H., 61, 238

**Leslie matrix**, 61, 238 calculating r from, 63-65describing age distribution, 62 reproductive value and, 65, 68-69 stage-

structured growth and, 71 Life history strategies, 69-71 loop diagrams (illus.), 72-

73, 77 ...

### What people are saying - Write a review

#### 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