## An Introduction to Mathematical EcologyPopulation dynamics; Spatial patterns in one-species populations; Spatial relations of two or more species; Many-species populations. |

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### Contents

Introduction | 1 |

Birth and Death Processes | 7 |

Logistic Population Growth | 19 |

Copyright | |

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### Common terms and phrases

aggregation association assumed becomes birth called cells classes classification clumps collection combined consider consists constant contain coordinates curve death defined denote density depends derived described determine distance distribution diversity ecological effect elements equal equation estimate example expected fact Figure fitted follows frequencies function given gives growth increase independent individuals interval length matrix mean measure method mosaic natural nearest negative number of individuals number of species observed obtained occur organisms original pair parameters patches pattern phases plants points population positive possible present probability properties proportion quadrats random randomly remains represented require result runs sample seen sequence shown single space species square suppose tion treated true units values variance variate vegetation whole write