## A Primer of EcologyWith the aim of teaching students the essential models in population and community ecology, this book explains in detail the basic concepts of exponential and logistic population growth, age-structured demography, metapopulation dynamics, competition, predation and island biogeography. |

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Page 93

Note that as the number of populations is increased, the probability of regional

persistence is substantially higher, for a given probability of local extinction. s

How does fohange with time?f can increase if empty sites are successfully

Note that as the number of populations is increased, the probability of regional

persistence is substantially higher, for a given probability of local extinction. s

How does fohange with time?f can increase if empty sites are successfully

**colonized**.Page 94

is continuous turnover of individual populations through

extinction. The fraction of population sites (f) reaches an equilibrium when the

immigration rate precisely equals the extinction rate. We will see this same

derivation once ...

is continuous turnover of individual populations through

**colonization**andextinction. The fraction of population sites (f) reaches an equilibrium when the

immigration rate precisely equals the extinction rate. We will see this same

derivation once ...

Page 95

The model assumes that probabilities of

affected by the overall fraction of occupied sites (f), but not their spatial

arrangement. In a more realistic metapopulation model, the probability of

The model assumes that probabilities of

**colonization**and extinction may beaffected by the overall fraction of occupied sites (f), but not their spatial

arrangement. In a more realistic metapopulation model, the probability of

**colonization**for a ...### What people are saying - Write a review

#### LibraryThing Review

User Review - dougb56586 - LibraryThingThis 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 | 27 |

AgeStructured Population Growth | 56 |

Metapopulation Dynamics | 91 |

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### Common terms and phrases

abundance age class age structure Allee effect allenbyi ascidian assumptions axis birth and death birth rate calculate carrying capacity Chapter coexistence colonization competition competitors constant death rate decrease density-dependent depends ecology environmental stochasticity Euler equation example exponential growth Expression extinction rate Figure fluctuations functional response go extinct habitat immigration rate interspecific competition isocline of species iteroparous K-selection large islands Leslie matrix life-table logistic growth logistic model Lotka–Volterra model MacArthur—Wilson model mathematical maximum metapopulation metapopulation models number of individuals number of species Number of victims offspring oligochaetes parasite passive sampling model patches persist population cycles population density population growth rate population sizes predator and victim predator isocline predator population primer propagule pyramidum rate of increase red grouse represents reproductive value rescue effect schedule simple source pool species richness species—area relationship state-space graph survivorship survivorship curve tion turnover ulation victim density victim isocline victim population zero