## 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 172

Model Presentation and Predictions THE SPECIES-AREA RELATIONSHIP One

of the few genuine “laws" in ecology is the ... This chapter explores in detail the

relationship between area and the

...

Model Presentation and Predictions THE SPECIES-AREA RELATIONSHIP One

of the few genuine “laws" in ecology is the ... This chapter explores in detail the

relationship between area and the

**number of species**in the community (species...

Page 177

We expect Hs to increase with increasing S: the more species present on the

island, the greater the rate at which species ... ps = (E/P)S g #5 5 ń P

model.

We expect Hs to increase with increasing S: the more species present on the

island, the greater the rate at which species ... ps = (E/P)S g #5 5 ń P

**Number of****species**on island (S) Figure 7.4 The extinction rate in the MacArthur—Wilsonmodel.

Page 178

The equilibrium

The equilibrium depends on the size of the source pool (P) and the maximum

immigration (I) and extinction (E) rates. Graphically, this equilibrium species ...

The equilibrium

**number of species**, Š, is thus: 3 IP S = — ion 7. I + E Equation 7.4The equilibrium depends on the size of the source pool (P) and the maximum

immigration (I) and extinction (E) rates. Graphically, this equilibrium species ...

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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