Mathematical ecology of populations and ecosystems:
"Population ecologists study how births and deaths affect the dynamics of populations and communities while ecosystem ecologists study how species control the flux of energy and materials through food webs and ecosystems. Although all these processes occur simultaneously in nature, the mathemat...
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Chichester [u.a.]
Wiley-Blackwell
2008
|
| Edition: | 1. publ. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis Klappentext |
| Summary: | "Population ecologists study how births and deaths affect the dynamics of populations and communities while ecosystem ecologists study how species control the flux of energy and materials through food webs and ecosystems. Although all these processes occur simultaneously in nature, the mathematical frameworks bridging the two disciplines have developed independently. Consequently, this independent development of theory has impeded the cross-fertilization of population and ecosystem ecology. Using recent developments from dynamical systems theory, this advanced undergraduate/graduate level textbook shows how to bridge the two disciplines seamlessly. This book shows how bifurcations between the solutions of models can help understand regime shifts in natural populations and ecosystems once thresholds in rates of births, deaths, consumption, competition, nutrient inputs, and decay are crossed. "Mathematical Ecology" is essential reading for students of ecology who have had a first course in calculus and linear algebra or students in mathematics wishing to learn how dynamical systems theory can be applied to ecological problems." --NHBS Bookstore. |
| Item Description: | Includes bibliographical references (p. 305-317) and index |
| Physical Description: | XIV, 329 S. Ill., graph. Darst. |
| ISBN: | 9781405177955 1405177950 9781405188111 1405188111 |
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| 100 | 1 | |a Pastor, John |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Mathematical ecology of populations and ecosystems |c John Pastor |
| 250 | |a 1. publ. | ||
| 264 | 1 | |a Chichester [u.a.] |b Wiley-Blackwell |c 2008 | |
| 300 | |a XIV, 329 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
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| 500 | |a Includes bibliographical references (p. 305-317) and index | ||
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Record in the Search Index
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|---|---|
| adam_text | Contents
Prologue
vii
Preface
ix
Acknowledgments
xiii
Part
1:
Preliminaries
1
1
What is mathematical ecology and why should we do it?
3
2
Mathematical toolbox
11
Part
2:
Populations
51
3
Homogeneous populations: exponential and geometric growth
and decay
53
4
Age- and stage-structured linear models: relaxing the assumption
of population homogeneity
65
5
Nonlinear models of single populations: the continuous time
logistic model
78
6
Discrete logistic growth, oscillations, and chaos
92
7
Harvesting and the logistic model
110
8
Predators and their prey
129
9
Competition between two species, mutualism, and species invasions
159
10
Multispecies community and food web models
176
Part
3:
Ecosystems
187
11
Inorganic resources, mass balance, resource uptake, and resource
use efficiency
189
12
Litter return, nutrient cycling, and ecosystem stability
218
13
Consumer regulation of nutrient cycling
238
14
Stoichiometry and linked element cycles
252
Part
4:
Populations and ecosystems in space and time
271
15
Transitions between populations and states in landscapes
273
Contents
16 Diffusion, advection,
the spread of populations and resources,
and the emergence of spatial patterns
284
Appendix: MatLab commands for equilibrium and stability analysis of
multi-compartment models by solving the Jacobian and its eigenvalues
298
References
305
Index
319
Population ecologists
study how births and deaths affect the dynamics of populations and
communities, while ecosystem ecologists study how species control the flux of energy
and materials through food webs and ecosystems. Although all these processes occur
simultaneously in nature, the mathematical frameworks bridging the two disciplines have
developed independently. Consequently, this independent development of theory has impeded
the cross-fertilization of population and ecosystem ecology. Using recent developments from
dynamical systems theory, this advanced undergraduate/graduate level textbook shows how to
bridge the two disciplines seamlessly. The book shows how bifurcations between the solutions
of models can help understand regime shifts in natural populations and ecosystems once thresholds
in rates of births, deaths, consumption, competition, nutrient inputs, and decay are crossed.
Mathematical Ecology is essential reading for students of ecology who have had a first course in
calculus and linear algebra or students in mathematics wishing to learn how dynamical systems
theory can be applied to ecological problems.
|
| any_adam_object | 1 |
| author | Pastor, John |
| author_facet | Pastor, John |
| author_role | aut |
| author_sort | Pastor, John |
| author_variant | j p jp |
| building | Verbundindex |
| bvnumber | BV035354425 |
| callnumber-first | Q - Science |
| callnumber-label | QH541 |
| callnumber-raw | QH541.15.M3 |
| callnumber-search | QH541.15.M3 |
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| ctrlnum | (OCoLC)213407350 (DE-599)HBZHT015631903 |
| dewey-full | 577.01/5118 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 577 - Ecology |
| dewey-raw | 577.01/5118 |
| dewey-search | 577.01/5118 |
| dewey-sort | 3577.01 45118 |
| dewey-tens | 570 - Biology |
| discipline | Biologie Mathematik |
| edition | 1. publ. |
| format | Book |
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| id | DE-604.BV035354425 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T21:31:59Z |
| institution | BVB |
| isbn | 9781405177955 1405177950 9781405188111 1405188111 |
| language | English |
| lccn | 2008010422 |
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| physical | XIV, 329 S. Ill., graph. Darst. |
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| publisher | Wiley-Blackwell |
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| spelling | Pastor, John Verfasser aut Mathematical ecology of populations and ecosystems John Pastor 1. publ. Chichester [u.a.] Wiley-Blackwell 2008 XIV, 329 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Includes bibliographical references (p. 305-317) and index "Population ecologists study how births and deaths affect the dynamics of populations and communities while ecosystem ecologists study how species control the flux of energy and materials through food webs and ecosystems. Although all these processes occur simultaneously in nature, the mathematical frameworks bridging the two disciplines have developed independently. Consequently, this independent development of theory has impeded the cross-fertilization of population and ecosystem ecology. Using recent developments from dynamical systems theory, this advanced undergraduate/graduate level textbook shows how to bridge the two disciplines seamlessly. This book shows how bifurcations between the solutions of models can help understand regime shifts in natural populations and ecosystems once thresholds in rates of births, deaths, consumption, competition, nutrient inputs, and decay are crossed. "Mathematical Ecology" is essential reading for students of ecology who have had a first course in calculus and linear algebra or students in mathematics wishing to learn how dynamical systems theory can be applied to ecological problems." --NHBS Bookstore. Mathematik Mathematisches Modell Ökologie Ecology Mathematical models Ecology Mathematics Population biology Mathematical models Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf Ökosystem (DE-588)4043216-6 gnd rswk-swf Ökologie (DE-588)4043207-5 gnd rswk-swf Populationsbiologie (DE-588)4046800-8 gnd rswk-swf Ökologie (DE-588)4043207-5 s Mathematisches Modell (DE-588)4114528-8 s DE-604 Ökosystem (DE-588)4043216-6 s Populationsbiologie (DE-588)4046800-8 s Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017158514&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017158514&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Klappentext |
| spellingShingle | Pastor, John Mathematical ecology of populations and ecosystems Mathematik Mathematisches Modell Ökologie Ecology Mathematical models Ecology Mathematics Population biology Mathematical models Mathematisches Modell (DE-588)4114528-8 gnd Ökosystem (DE-588)4043216-6 gnd Ökologie (DE-588)4043207-5 gnd Populationsbiologie (DE-588)4046800-8 gnd |
| subject_GND | (DE-588)4114528-8 (DE-588)4043216-6 (DE-588)4043207-5 (DE-588)4046800-8 |
| title | Mathematical ecology of populations and ecosystems |
| title_auth | Mathematical ecology of populations and ecosystems |
| title_exact_search | Mathematical ecology of populations and ecosystems |
| title_full | Mathematical ecology of populations and ecosystems John Pastor |
| title_fullStr | Mathematical ecology of populations and ecosystems John Pastor |
| title_full_unstemmed | Mathematical ecology of populations and ecosystems John Pastor |
| title_short | Mathematical ecology of populations and ecosystems |
| title_sort | mathematical ecology of populations and ecosystems |
| topic | Mathematik Mathematisches Modell Ökologie Ecology Mathematical models Ecology Mathematics Population biology Mathematical models Mathematisches Modell (DE-588)4114528-8 gnd Ökosystem (DE-588)4043216-6 gnd Ökologie (DE-588)4043207-5 gnd Populationsbiologie (DE-588)4046800-8 gnd |
| topic_facet | Mathematik Mathematisches Modell Ökologie Ecology Mathematical models Ecology Mathematics Population biology Mathematical models Ökosystem Populationsbiologie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017158514&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017158514&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
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