## 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 91

Instead, the only distinction is between populations that

extinct. The second shift concerns the spatial scale at which we study populations

. In Chapters 1–3 we emphasized equilibrium solutions for population size, ...

Instead, the only distinction is between populations that

**persist**and those that goextinct. The second shift concerns the spatial scale at which we study populations

. In Chapters 1–3 we emphasized equilibrium solutions for population size, ...

Page 124

Thus, both species cannot

extinction by competition. However, there is no predictable winner. The

population that has a numerical advantage is the one that will probably win in

competition, but ...

Thus, both species cannot

**persist**in the long run, and one will be driven toextinction by competition. However, there is no predictable winner. The

population that has a numerical advantage is the one that will probably win in

competition, but ...

Page 125

Species 1

Species 2

Species 2 - - - Inequality Outcome

...

Species 1

**persists**K2 K1 - - R. < 0. Species 1 does not**persist**K1 - 1 - - →--->Species 2

**persists**K2 B p p Kl >4. Species 2 does not**persist**K2 B (b) Species 1Species 2 - - - Inequality Outcome

**persists persists**1 K1 Species 1 wins Yes No 5...

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#### 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