An Introduction to Mathematical Ecology

Description

Contents Introduction 1 I POPULATION DYNAMICS 5 1. Birth and death processes 7 2. Logistic population growth 19 3. Population growth with age-dependent birth and death rates. 33 -I: The discrete time model 33 4. Population growth with age-dependent birth and death rates. 43 -II: The continuous time model 43 5. The growth of populations of two competing species 53 6. The dynamics of host-parasite populations 66 II SPATIAL PATTERNS IN ONE-SPECIES POPULATIONS 76 7. Spatial patterns and their representation by discrete distributions 79 8. The measurement of aggregation 90 9. The pattern of individuals in a continuum 99 10. Studying pattern by distance sampling 111 11. Patterns resulting from diffusion 125 12. The patterns of ecological maps: Two-phase mosaics 140 III SPATIAL RELATIONS OF TWO OR MORE SPECIES 158 13. Association between pairs of species. 159 -I: Individuals in discrete habitable units 159 14. Association between pairs of species. 172 -II: Individuals in a continuum 172 15. Segregation between two species 179 16. Segregation among many species: $n$-phase mosaics. 193 IV MANY-SPECIES POPULATIONS 200 17. Species-abundance relations 203 18. Ecological diversity and its measurement 221 19. The classification of communities 236 20. The ordination of continuously varying communities 250 21. Canonical variate analysis 263 AUTHOR INDEX 281 SUBJECT INDEX 283