## 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 143

W - Equation 6.4 # Thus, the predator population is controlled by a fixed

needed to keep the predator population from declining. Conversely, the greater

the ...

W - Equation 6.4 # Thus, the predator population is controlled by a fixed

**number****of victims**(W). The greater the death rate of the predators (q), the more victimsneeded to keep the predator population from declining. Conversely, the greater

the ...

Page 144

dP/dt = 0\; I I I I ,- I S- I £ I C I o: l ~ I §: I C- I '5 | 5 I -d I E I -: I Z I I I l I I I I I q/3

Volterra predation model predicts a critical

the ...

dP/dt = 0\; I I I I ,- I S- I £ I C I o: l ~ I §: I C- I '5 | 5 I -d I E I -: I Z I I I l I I I I I q/3

**Number of victims**(V) Figure 6.2 The predator isocline in state space. The Lotka–Volterra predation model predicts a critical

**number of victims**(q/B) that controlsthe ...

Page 156

K K'

population has its carrying capacity enhanced from K to K", the system moves

from a stable equilibrium to overexploitation by the predator. The victim isocline

may ...

K K'

**Number of victims**(V) Figure 6.11 The paradox of enrichment. If the victimpopulation has its carrying capacity enhanced from K to K", the system moves

from a stable equilibrium to overexploitation by the predator. The victim isocline

may ...

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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 | 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