## 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 125

(Case 2) 1 K1 Stable

equilibrium No No B < K2 < 0. (Case 4) Now we have expressions for whether N1

will persist or not, and whether N2 will persist or not. Putting these expressions ...

(Case 2) 1 K1 Stable

**coexistence**Yes Yes B > K. > 0. (Case 3) 1. K1 Unstableequilibrium No No B < K2 < 0. (Case 4) Now we have expressions for whether N1

will persist or not, and whether N2 will persist or not. Putting these expressions ...

Page 126

ity in Table 5.1,

Expression 5.12 Kı - 1.1 > K. - 0.9 Expression 5.13 2 Thus, if the species are very

similar in their use of resources, there is only a narrow range of carrying

capacities ...

ity in Table 5.1,

**coexistence**of these species requires that: 1 K1 - 0.5° R. > 0.9Expression 5.12 Kı - 1.1 > K. - 0.9 Expression 5.13 2 Thus, if the species are very

similar in their use of resources, there is only a narrow range of carrying

capacities ...

Page 128

How does IGP affect the

inferior competitor is the predator, IGP can change the outcome from competitive

exclusion (case 1) to stable

How does IGP affect the

**coexistence**of species? The graphical effect ... But if theinferior competitor is the predator, IGP can change the outcome from competitive

exclusion (case 1) to stable

**coexistence**(case 3: Figure 5.10b). Other outcomes ...### 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