Spatial ecology:
Gespeichert in:
| Weitere Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Boca Raton [u.a.]
CRC Press
2010
|
| Schriftenreihe: | Chapman & Hall/CRC mathematical and computational biology series
A Chapman & Hall book |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis Klappentext |
| Beschreibung: | Includes bibliographical references and index |
| Beschreibung: | XXII, 362 S. graph. Darst. |
| ISBN: | 9781420059854 |
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MARC
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| 300 | |a XXII, 362 S. |b graph. Darst. | ||
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| 650 | 4 | |a Mathematisches Modell | |
| 650 | 4 | |a Spatial ecology | |
| 650 | 4 | |a Spatial ecology / Mathematical models | |
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Datensatz im Suchindex
| _version_ | 1804140850708480000 |
|---|---|
| adam_text | Contents
Preface
xiii
List of Contributors
xix
1
Competition dynamics in a seasonally varying wetland
1
Don L. DeAngelis, Joel C. Trexler, and Douglas D. Donalson
1.1
Introduction
1
1.2
Model
4
1.3
Results
6
1.4
Discussion
6
1.5
Appendix
9
1.6
References
12
2
Spatial dynamics of multitrophic communities
15
Priyanga Amarasekare
2.1
Introduction
15
2.2
Theoretical framework
17
2.3
Results
18
2.3.1
Intraguild
prédation
18
2.3.2
Keystone
prédation
19
2.4
Discussion and conclusions
24
2.5
Acknowledgments
26
vi
CONTENTS
2.6
Appendix:
Spatial
models
26
2.6.1
Intraguild
prédation
26
2.6.2
Keystone
prédation
28
2.7
References
30
3
Bistability Dynamics in Structured Ecological Models
33
Jifa
Jiang and Junping Shi
3.1
Non-structured models
34
3.2
Diffusion induced bistability and hysteresis
40
3.3
Threshold manifold
47
3.4
Concluding Remarks
55
3.5
Acknowledgements
55
3.6
References
56
4
Modeling animal movement with diffusion
63
Otso Ovaskainen and Elizabeth E. Crone
4.1
Introduction
63
4.2
Advection-diffusion in heterogeneous environments
65
4.2.1
Edge behavior and habitat selection
68
4.2.2
Responses to linear landscape features
69
Structural corridors (a
= — 1) 71
Structural barriers (a
= 1) 71
4.3
Application: Wolf movement in a mountainous landscape
72
4.4
Applications of diffusion models
78
4.4.1
Predictions from diffusion models
78
4.4.2
Data analysis with diffusion models
79
4.5
Conclusions
79
4.6
Acknowledgments
80
4.7
References
80
CONTENTS
vii
5 Riverine
landscapes:
Ecology for an alternative geometry
85
William
F
Fagan,
Evan H. Campbell Grant, Heather J. Lynch, and Peter
J. Unmack
5.1
Spatial ecology
85
5.2
Dendritic landscapes
87
5.3
Colonization and extinction
89
5.4
Metapopulation model
89
5.5
Extinction in fishes
94
5.6
Conclusion
97
5.7
Acknowledgments
98
5.8
References
98
6
Biological modeling with quiescent phases
101
Karl P. Hadeler, Thomas Hillen, and Mark A. Lewis
6.1
Introduction
101
6.2
Diffusive coupling and quiescence
102
6.3
Stationary states and stability
104
6.4
Periodic orbits
106
6.5
Rates depending on density
107
6.6
Slow dynamics
109
6.7
Delay equations
110
6.8
Spread in space
112
6.8.1
Reaction-diffusion equations
112
6.8.2
Reaction-transport equations
114
6.9
Applications
116
6.9.1
The river drift paradox
116
6.9.2
Spread of genetically engineered microbes
117
6.9.3
Tumor growth: The linear-quadratic model
120
6.9.4
Infectious diseases
121
6.9.5
Contact distributions versus migrating infective
122
6.10
Discussion
124
6.11
Acknowledgments
125
6.12
References
125
viii CONTENTS
7
Spatial
scale and population dynamics in advective media
129
Roger M. Nisbet, KurtE. Anderson, Edward McCauley, and
Ulrike
Feudei
7.1
Introduction
129
7.2
Models
130
7.3
Population persistence and the drift paradox
132
7.4
Response to abiotic forcing
135
7.5
Directions for future research
138
7.6
Acknowledgments
140
7.7
References
141
8
Using multivariate state-space models to study spatial structure and
dynamics
145
Richard A. Hinrichsen and Elizabeth E. Holmes
8.1
Introduction
145
8.2
Multivariate state-space models
147
8.3
Population structure
149
8.3.1
Structure ofthe population growth rates
(/в)
150
8.3.2
Structure of the process-error variances
(
/q)
150
8.3.3
Structure of the measurement errors
(
/д)
151
8.4
Parameter estimation
151
8.4.1
The likelihood function
151
8.4.2
Estimation of xt|t_j and P^-i using the
Kalman
filter
152
8.4.3
Maximization of the likelihood function
153
8.5
Model selection
154
8.6
Snake River
chinook
155
8.6.1
Kalman
smoother
156
8.6.2
Structure in the salmon data
158
8.6.3
Confidence intervals
159
8.6.4
Results
159
8.7
Discussion
162
8.8
References
164
CONTENTS ix
9
Incorporating the spatial configuration of the habitat into ecology and
evolutionary biology
167
Ilkka Hanski
9.1
Introduction
167
9.2
Modeling migration in fragmented landscapes
169
9.3
Metapopulation dynamics
171
9.4
Metacommunity dynamics of competing species
175
9.5
Genetic and evolutionary dynamics
178
9.6
Conclusion
182
9.7
References
182
10
Metapopulation perspectives on the evolution of species niches
189
Robert D. Holt and Michael Barfield
10.1
Introduction
189
10.2
Models for adaptive colonization into sink habitats
191
10.3
An island-mainland model with infrequent adaptive colonization
200
10.4
Gene flow and population extinction
201
10.5
A metapopulation model with maladaptive gene flow
203
10.6
Discussion
206
10.7
Acknowledgments
210
10.8
References
210
11
Evolution of dispersal in heterogeneous landscapes
213
Robert Stephen Cantrell, Chris Cosner, and Yuan Lou
11.1
Introduction
213
11.2
Random dispersal: Evolution of slow dispersal
216
11.3
Random dispersal vs. conditional dispersal
218
11.4
Evolution of conditional dispersal
220
11.5
Dispersal and the ideal free distribution
221
11.6
Dispersal in temporally varying environments
224
x
CONTENTS
11.7
Future directions
225
11.8
Acknowledgments
227
11.9
References
227
12
Evolution of dispersal scale and shape in heterogeneous environments:
A correlation equation approach
231
Benjamin M. Bolker
12.1
Introduction
231
12.2
Methods
233
12.2.1
Competition model
233
12.2.2
Dispersal curves
234
12.2.3
Environmental heterogeneity
234
12.2.4
Analysis
235
12.3
Results
237
12.3.1
Dispersal scale in homogeneous landscapes
237
12.3.2
Dispersal shape in homogeneous environments
239
12.3.3
Dispersal scale in heterogeneous environments
240
12.3.4
Dispersal shape in heterogeneous environments
243
12.4
Discussion and conclusions
244
12.5
Acknowledgments
247
12.6
References
247
13
Spatiotemporal
dynamics of measles: Synchrony and persistence in a
disease metapopulation
251
Alun
L
Lloyd and Lisa
Sattenspiel
13.1
Introduction
251
13.2
Data sources
253
13.3
Local dynamics: Periodicity and endemic fadeout
255
13.4
Regional persistence and spatial synchrony
259
13.5
Spatial synchrony among large population centers
259
13.6
Reinvasion
waves and phase relationships
265
13.7
Discussion
267
13.8
References
269
CONTENTS xi
14
Rules of thumb for the control of vector-borne diseases in a spatial
environment
273
Matthew D. Potts and Tristan Kimbrell
14.1
Introduction
274
14.2
Model specification
276
14.3
Results
280
14.4
Discussion
286
14.5
Conclusion
288
14.6
Acknowledgments
289
14.7
References
289
15
Modeling spatial spread of communicable diseases involving animal
hosts
293
Shigui Ruan and Jianhong Wu
15.1
Introduction
293
15.2
Rabies
295
15.3
Dengue
298
15.4
West Nile virus
300
15.5
Hantavirus
302
15.6
Lyme disease
305
15.7
Feline immunodeficiency virus
(FIV)
308
15.8
Summary
310
15.9
Acknowledgments
311
lS.lOReferences
311
16
Economically optimal management of a metapopulation
317
James
N.
Sanchirico and James E.
Wien
16.1
Spatial ecology
317
16.2
Optimization
320
16.3
Optimal spatial dynamics
323
xii CONTENTS
16.4
Cost of ignoring
spatial
processes
326
16.5
Conclusion
329
16.6
Acknowledgments
330
16.7
References
330
17
Models of harvesting
333
Donald B. Olson
17.1
Introduction
333
17.2
Basic model formulation
335
17.3
Explicit examples
338
17.4
Conclusions
340
17.5
Acknowledgments
341
17.6
References
341
18
Spatial optimal control of renewable resource stocks
343
Guillermo
E.
Herrera
and Suzanne
Lenhart
18.1
Introduction
343
18.2
ODE
models with
spatial
components
344
18.3
PDE models
346
18.3.1
Techniques for optimal control of PDEs
348
18.3.2
Illustrative PDE example
350
18.4
Conclusions
354
18.5
Acknowledgments
355
18.6
References
355
Index
359
Mathematical and Co
Exploring the relationship between mathematics and ecology, Spatial
Ecology focuses on some important emerging challenges in the
field. These challenges consist of understanding the impact of space
on community structure, incorporating the scale and structure of
landscapes into mathematical models, and developing connections
between spatial ecology and evolutionary theory, epidemiology, and
economics.
The book begins with chapters on how spatial effects influence
the dynamics of populations and the structure of communities.
It then discusses how spatial scale and structure and dispersal
behavior connect to phenomena in population dynamics, evolution,
epidemiology, and economics. Subsequent chapters focus on the
interplay of ecology with evolution, epidemiology, and economics.
The chapters on ecology and evolutionary theory provide a guided
tour through a number of scenarios and modeling approaches
that represent active areas of current research and suggest some
paths toward conceptual unification. The book then illustrates how
problems in epidemiology and ecology can be profitably addressed
by similar modeling regimes. It concludes with chapters that describe
how ideas from economics, ecology, and quality control theory may
be combined to address issues in natural resource management.
With contributions from some of the best in the field, this volume
promotes the advancement of ecology as a truly quantitative science,
particularly as it touches on the role of space. The book will inspire
readers to open up new areas of research in the mathematical theory
of spatial ecology and its connections with evolutionary theory,
epidemiology, and economics.
|
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| id | DE-604.BV035874550 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T22:06:32Z |
| institution | BVB |
| isbn | 9781420059854 |
| language | English |
| lccn | 2009021500 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-018732269 |
| oclc_num | 552048151 |
| open_access_boolean | |
| owner | DE-703 |
| owner_facet | DE-703 |
| physical | XXII, 362 S. graph. Darst. |
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| series2 | Chapman & Hall/CRC mathematical and computational biology series A Chapman & Hall book |
| spelling | Spatial ecology ed. by Stephen Cantrell, Chris Cosner, and Shigui Ruan Boca Raton [u.a.] CRC Press 2010 XXII, 362 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Chapman & Hall/CRC mathematical and computational biology series A Chapman & Hall book Includes bibliographical references and index Mathematisches Modell Spatial ecology Spatial ecology / Mathematical models Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf Ökologie (DE-588)4043207-5 gnd rswk-swf Raum (DE-588)4048561-4 gnd rswk-swf Ökologie (DE-588)4043207-5 s Raum (DE-588)4048561-4 s Mathematisches Modell (DE-588)4114528-8 s DE-604 Cantrell, Stephen edt Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018732269&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=018732269&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Klappentext |
| spellingShingle | Spatial ecology Mathematisches Modell Spatial ecology Spatial ecology / Mathematical models Mathematisches Modell (DE-588)4114528-8 gnd Ökologie (DE-588)4043207-5 gnd Raum (DE-588)4048561-4 gnd |
| subject_GND | (DE-588)4114528-8 (DE-588)4043207-5 (DE-588)4048561-4 |
| title | Spatial ecology |
| title_auth | Spatial ecology |
| title_exact_search | Spatial ecology |
| title_full | Spatial ecology ed. by Stephen Cantrell, Chris Cosner, and Shigui Ruan |
| title_fullStr | Spatial ecology ed. by Stephen Cantrell, Chris Cosner, and Shigui Ruan |
| title_full_unstemmed | Spatial ecology ed. by Stephen Cantrell, Chris Cosner, and Shigui Ruan |
| title_short | Spatial ecology |
| title_sort | spatial ecology |
| topic | Mathematisches Modell Spatial ecology Spatial ecology / Mathematical models Mathematisches Modell (DE-588)4114528-8 gnd Ökologie (DE-588)4043207-5 gnd Raum (DE-588)4048561-4 gnd |
| topic_facet | Mathematisches Modell Spatial ecology Spatial ecology / Mathematical models Ökologie Raum |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018732269&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=018732269&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT cantrellstephen spatialecology |