An Introduction to Mathematical Ecology

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