## A Primer of EcologyA Primer of Ecology presents a concise but detailed exposition of the most common mathematical models in population and community ecology. It is intended to demystify ecological models and the mathematics behind them by deriving the models from first principles. The Primer explains in detail basic concepts of exponential and logistic population growth, age-structured demography, metapopulation dynamics, competition, predation, island biogeography, and, in a chapter new to this edition, succession. The book may be used as a self-teaching tutorial by students, as a primary textbook, or as a supplemental text to a general ecology textbook. |

### From inside the book

Results 1-3 of 15

Page 58

CALCULATING INTRINSIC RATE OF INCREASE (r) We can use the equation for

exponential growth to solve for r in terms of Ro and G (Mertz 1970). Imagine ...

Later in this chapter, we will illustrate the derivation of the

now ...

CALCULATING INTRINSIC RATE OF INCREASE (r) We can use the equation for

exponential growth to solve for r in terms of Ro and G (Mertz 1970). Imagine ...

Later in this chapter, we will illustrate the derivation of the

**Euler equation**. Fornow ...

Page 66

Incidentally, if we use the value of r from the

growth, we must further assume that the population has achieved a stable age

distribution. One final point is that we have described the l(x) schedule from a ...

Incidentally, if we use the value of r from the

**Euler equation**to forecast populationgrowth, we must further assume that the population has achieved a stable age

distribution. One final point is that we have described the l(x) schedule from a ...

Page 235

[8]

1707-1783), the

of increase (r) in terms of the fecundity (b(x)) and survivorship (l(x)) schedules for

...

[8]

**Euler equation**First derived by the Swiss mathematician Leonhard Euler (1707-1783), the

**Euler equation**gives an exact solution for the instantaneous rateof increase (r) in terms of the fecundity (b(x)) and survivorship (l(x)) schedules for

...

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#### LibraryThing Review

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 | 25 |

AgeStructured Population Growth | 49 |

MODEL PRESENTATION AND PREDICTIONS | 82 |

Copyright | |

13 other sections not shown

### Common terms and phrases

age class Allee effect assumptions axis birth and death birth rate calculate carrying capacity Chapter coexist cohort colonization competition constant corals death rate decrease density density-dependent depend discrete dN/dt ecology Equation 1.2 equilibrium model equilibrium point Euler equation example exponential growth exponential growth model Expression extinction rate feeding rate Figure functional response grassland habitat immigration rate instantaneous rate intersection interspecific competition iteroparous K-selection Leslie matrix logistic growth Lotka-Volterra model MacArthur-Wilson model mathematical maximum metapopulation metapopulation models number of individuals number of species offspring passive sampling model patches pioneer species plot population cycles population growth rate population sizes predator and victim predator isocline predator population prey primer propagule rate of increase red grouse represents reproductive value rescue effect semelparous simple source pool species richness species-area relationship stage vector state-space graph survivorship curve tion transition matrix turnover ulation variance victim abundance victim isocline victim population zero