Diffusion and ecological problems: modern perspectives
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| Previous Title: | Okubo, Akira Diffusion and ecological problems |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York [u.a.]
Springer
2001
|
| Edition: | 2. ed. |
| Series: | Interdisciplinary applied mathematics
14 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XX, 467 S. Ill., graph. Darst. |
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| 245 | 1 | 0 | |a Diffusion and ecological problems |b modern perspectives |c Akira Okubo, with Simon A. Levin |
| 250 | |a 2. ed. | ||
| 264 | 1 | |a New York [u.a.] |b Springer |c 2001 | |
| 300 | |a XX, 467 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Interdisciplinary applied mathematics |v 14 | |
| 650 | 4 | |a Biogéographie - Modèles mathématiques | |
| 650 | 4 | |a Diffusion (Physique) - Modèles mathématiques | |
| 650 | 4 | |a Écologie - Modèles mathématiques | |
| 650 | 4 | |a Mathematisches Modell | |
| 650 | 4 | |a Ökologie | |
| 650 | 4 | |a Biogeography |x Mathematical models | |
| 650 | 4 | |a Diffusion |x Mathematical models | |
| 650 | 4 | |a Ecology |x Mathematical models | |
| 650 | 0 | 7 | |a Ökologie |0 (DE-588)4043207-5 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Ökosystem |0 (DE-588)4043216-6 |2 gnd |9 rswk-swf |
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| 700 | 1 | |a Okubo, Akira |e Sonstige |4 oth | |
| 700 | 1 | |a Levin, Simon Asher |d 1941- |e Sonstige |0 (DE-588)1089198329 |4 oth | |
| 780 | 0 | 0 | |i Früher u.d.T. |a Okubo, Akira |t Diffusion and ecological problems |
| 830 | 0 | |a Interdisciplinary applied mathematics |v 14 |w (DE-604)BV004216726 |9 14 | |
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| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-009823163 | |
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| _version_ | 1808136742964822016 |
|---|---|
| adam_text |
CONTENTS
PREFACE
TO
THE
SECOND
EDITION
.
VII
PREFACE
TO
THE
FIRST
EDITION
.
IX
CONTRIBUTORS
.
XIX
1.
INTRODUCTION:
THE
MATHEMATICS
OF
ECOLOGICAL
DIFFUSION
.
1
AKIRA
OKUBO
1.1
A
HISTORY
OF
RESEARCH
ON
DIFFUSION
IN
ECOLOGY
.
1
1.2
THE
VALUE
OF
MATHEMATICAL
MODELS
.
4
1.3
DETERMINISTIC
VERSUS
STOCHASTIC
METHODS
.
6
2.
THE
BASICS
OF
DIFFUSION
.
10
AKIRA
OKUBO
AND
SIMON
A.
LEVIN
2.1
RANDOM
VARIABLES
.
10
2.2
THE
RANDOM
WALK
AND
DIFFUSION
.
11
2.3
FICK
'
S
EQUATION
OF
DIFFUSION
.
14
2.4
TURBULENCE
AND
TURBULENT
DIFFUSION
.
15
2.5
DIFFUSION
IN
A
FORCE
FIELD
.
18
2.6
THE
THEORY
OF
DIFFUSION
IN
NATURAL
ENVIRONMENTS:
PHYSICAL
DIFFUSION
.
20
2.6.1
DIFFUSION
IN
ATMOSPHERIC
BOUNDARY
LAYERS
.
26
2.6.2
OCEANOGRAPHIC
AND
LIMNOLOGICAL
DIFFUSION
.
27
3.
PASSIVE
DIFFUSION
IN
ECOSYSTEMS
.
31
AKIRA
OKUBO,
JOSEF
DAVID
ACKERMAN,
AND
DENNIS
P.
SWANEY
3.1
DIFFUSION
WITHIN
AND
ABOVE
PLANT
CANOPIES
.
32
3.1.1
TERRESTRIAL
PLANT
CANOPIES
.
32
3.1.2
AQUATIC
PLANT
CANOPIES
.
39
3.2
DIFFUSION
OF
NUTRIENTS
IN
THE
SEA
.
47
3.2.1
SUBSURFACE
PRODUCTIVITY
AND
CHLOROPHYLL
MAXIMUM
.
53
3.2.2
FLOCS,
AGGREGATES,
AND
MARINE
SNOW
.
54
3.2.3
BENTHIC-PELAGIC
COUPLING
.
59
XIV
CONTENTS
3.3
DIFFUSION
OF
SPORES
.
62
3.3.1
SETTLING
VELOCITY
.
63
3.3.2
DIFFUSION
MODEL
.
67
3.3.3
EXPERIMENTS
ON
SPORE
DISPERSAL
.
73
3.3.4
VERTICAL
DISTRIBUTIONS
OVER
WIDE
REGIONS
.
76
3.3.5
WIND
AND
WATER
POLLINATION
.
79
3.4
DISPERSAL
OF
GAMETES
AND
ORGANISMS
.
84
3.4.1
BROADCAST
SPAWNERS
AND
EXTERNAL
FERTILIZATION
.
85
3.4.2
THE
DISPERSAL
OF
FISH
EGGS
AND
LARVAE
IN
THE
SEA
.
88
3.5
TRANSPORT
ACROSS
THE
SOLID
INTERFACE
.
91
3.5.1
FLUID
EXCHANGE
IN
ANIMAL
BURROWS
.
92
3.5.2
BIOTURBATION
AND
RELATED
EFFECTS
.
104
3.5.3
NOTES
ON
SOLUTE
TRANSPORT
IN
SOILS
AND
SEDIMENTS
.
105
4.
DIFFUSION
OF
"
SMELL
"
AND
"
TASTE
"
:
CHEMICAL
COMMUNICATION
.
107
AKIRA
OKUBO,
ROBERT
A.
ARMSTRONG,
AND
JEANNETTE
YEN
4.1
DIFFUSION
OF
INSECT
PHEROMONES
.
107
4.1.1
INSTANTANEOUS
EMISSION
IN
STILL
AIR
.
108
4.1.2
CONTINUOUS
EMISSION
IN
STILL
AIR
.
110
4.1.3
CONTINUOUS
EMISSION
FROM
A
MOVING
SOURCE
.
ILL
4.1.4
CONTINUOUS
EMISSION
OF
PHEROMONE
IN
A
WIND
.
112
4.2
A
DIFFUSION
PROBLEM
CONCERNING
THE
MIGRATION
OF
GREEN
TURTLES
.
115
4.3
CHEMICAL
COMMUNICATION
IN
AQUATIC
ORGANISMS
.
119
4.3.1
TEMPORAL
AND
SPATIAL
SCALES
FOR
CHEMICAL
COMMUNICATION
.
119
4.3.2
MODELS
OF
CHEMICAL
COMMUNICATION
IN
AQUATIC
ORGANISMS
.
123
4.3.3
AN
INVERSE
PROBLEM:
ESTIMATING
THE
"
STATISTICAL
FUNNEL
"
OF
SEDIMENT
TRAPS
.
124
5.
MATHEMATICAL
TREATMENT
OF
BIOLOGICAL
DIFFUSION
.
127
AKIRA
OKUBO
AND
DANIEL
GRIINBAUM
5.1
ANIMAL
MOTION
AND
THE
BALANCE
OF
ACTING
FORCES
.
128
5.2
TAXIS
AND
THE
EQUATION
OF
MOTION
.
131
5.3
EXTENSION
OF
THE
RANDOM
WALK
MODEL
AND
THE
EQUATION
OF
BIODIFFUSION
.
133
5.3.1
CORRELATED
RANDOM
WALKS
.
137
5.3.2
PATLAK
'
S
MODEL
.
140
5.3.3
THE
FOKKER-PLANCK
EQUATIONS
.
143
5.4
APPLICATION
TO
TAXIS
.
151
5.5
SIMULATION
OF
TAXIS
.
157
5.6
ADVECTION-DIFFUSION
MODELS
FOR
BIODIFFUSION
.
158
5.7
INTERNAL
STATE-MEDIATED
TAXIS
.
161
5.7.1
AN
EXAMPLE:
RECEPTOR
KINETICS-BASED
TAXIS
.
162
CONTENTS
XV
6.
SOME
EXAMPLES
OF
ANIMAL
DIFFUSION
.
170
AKIRA
OKUBO
AND
PETER
KAREIVA
6.1
POPULATION
PRESSURE
AND
DISPERSAL
.
170
6.2
HORIZONTAL
AND
VERTICAL
DISTRIBUTIONS
OF
INSECTS
IN
THE
ATMOSPHERE:
INSECT
DISPERSAL
.
172
6.2.1
DISPERSAL
OF
INSECTS
.
173
6.2.2
MATHEMATICAL
MODELS
FOR
INSECT
DISPERSAL
.
181
6.3
DIFFUSION
MODELS
FOR
HOMING
AND
MIGRATION
OF
ANIMALS
.
186
6.4
MODEL
FOR
MUSKRAT
DISPERSAL
AND
BIOLOGICAL
INVASIONS
IN
GENERAL
.
191
6.5
THE
DISPERSAL
OF
ANIMAL-BORNE
PLANTS
.
194
6.6
DIFFUSION
MODELS
AS
A
STANDARD
TOOL
IN
ANIMAL
ECOLOGY
.
195
7.
THE
DYNAMICS
OF
ANIMAL
GROUPING
.
197
AKIRA
OKUBO,
DANIEL
GRUNBAUM,
AND
LEAH
EDELSTEIN-KESHET
7.1
PHYSICAL
DISTINCTION
BETWEEN
DIFFUSION
AND
GROUPING
.
197
7.2
FORMULATION
OF
SWARMING
BY
A
GENERALIZED
DIFFUSION
EQUATION
.
200
7.3
INSECT
SWARMING
.
202
7.3.1
LOCUST
SWARMS
.
202
7.3.2
EXPERIMENTAL
TECHNIQUES
.
203
7.3.3
MOSQUITOES,
FLIES,
AND
MIDGES
.
204
7.3.4
MARINE
ZOOPLANKTON
SWARMING
.
208
7.4
FISH
SCHOOLING
.
209
7.5
SIMULATION
MODEL
FOR
ANIMAL
GROUPING
.
215
7.6
THE
SPLIT
AND
AMALGAMATION
OF
HERDS
.
219
7.7
THE
ECOLOGICAL
OR
EVOLUTIONAL
SIGNIFICANCE
OF
GROUPING
.
222
7.8
LINKING
INDIVIDUALS,
GROUPS,
AND
POPULATIONS:
THE
BIOLOGICAL
CONTEXT
OF
MATHEMATICAL
MODELS
OF
GROUPING
.
227
7.9
CONTINUUM
APPROXIMATIONS
FOR
DENSITY
DISTRIBUTIONS
WITHIN
SOCIAL
GROUP
.
229
7.9.1
ENERGY-POTENTIAL
ANALOGY
.
230
7.9.2
INTEGRAL
EQUATIONS
FOR
GROUP
DYNAMICS
.
231
7.9.3
POISSON-POINT
ASSUMPTION
.
232
7.10
DYNAMICS
OF
GROUPS
IN
SOCIAL
GROUPING
POPULATIONS
.
234
7.10.1
SPATIALLY
EXPLICIT
GROUP-SIZE
DISTRIBUTION
MODELS
.
235
8.
ANIMAL
MOVEMENTS
IN
HOME
RANGE
.
238
AKIRA
OKUBO
AND
LOUIS
GROSS
8.1
THE
SIZE
OF
THE
HOME
RANGE
AND
ITS
RELATION
TO
ANIMAL
WEIGHT
AND
ENERGY
REQUIREMENTS
.
239
XVI
CONTENTS
8.2
MATHEMATICAL
MODELS
FOR
ANIMAL
DISPERSAL
IN
HOME
RANGES
.
240
8.3
SIMULATION
OF
ANIMAL
MOVEMENT
IN
HOME
RANGES
.
242
8.4
ANIMAL
DISPERSAL
AND
SETTLING
IN
NEW
HOME
RANGES
.
248
8.5
STRATEGIES
OF
MOVEMENT
FOR
RESOURCE
UTILIZATION
.
250
8.6
DATA
ON
ANIMAL
MOVEMENTS
.
258
8.6.1
CASE
STUDY:
FLORIDA
PANTHER
.
259
8.7
HOME-RANGE
ESTIMATION
.
261
8.8
ALLOMETRIC
RELATIONS
BETWEEN
BODY
SIZE
AND
HOME
RANGE
.
261
8.9
INDIVIDUAL-BASED
MODELS
OF
MOVEMENT
.
262
8.9.1
CORRIDORS
AND
MOVEMENT
.
263
8.9.2
FOOD
DENSITY
AND
HOME-RANGE
SIZE
.
264
8.10
DIFFUSION
MODELS
.
264
8.10.1
BOUNDARY
EFFECTS
.
265
8.10.2
MOVEMENT
IN
HETEROGENEOUS
ENVIRONMENTS
.
266
8.10.3
MULTIPLE
SCALES
AND
FORAGING
.
266
9.
PATCHY
DISTRIBUTION
AND
DIFFUSION
.
268
AKIRA
OKUBO
AND
JAMES
G.
MITCHELL
9.1
ROLE
OF
DIFFUSION
IN
PLANKTON
PATCHINESS
.
269
9.2
SPECTRA
OF
TURBULENCE
AND
PATCHINESS
.
274
9.3
PLANKTON
DISTRIBUTION
IN
CONVECTION
CELLS
.
280
9.4
BIOCONVECTION
.
287
9.5
MICROSCALE
PATCHINESS
.
291
9.6
DIFFUSION
AND
THE
ENTROPY
OF
PATCHINESS
.
294
10.
POPULATION
DYNAMICS
IN
TEMPORAL
AND
SPATIAL
DOMAINS
.
298
AKIRA
OKUBO,
ALAN
HASTINGS,
AND
THOMAS
POWELL
10.1
MATHEMATICAL
REPRESENTATION
OF
INTRA
AND
INTERSPECIFIC
INTERACTIONS
IN
TEMPORAL
AND
SPATIAL
DOMAINS:
ADVECTION-DIFFUSION-REACTION
EQUATIONS
.
299
10.2
SINGLE-SPECIES
POPULATION
DYNAMICS
WITH
DISPERSAL
.
304
10.2.1
SOME
SIMPLE
POPULATION
MODELS
AND
ASSOCIATED
TRAVELLING
FRONTAL
WAVES
.
304
10.2.2
THE
CRITICAL
SIZE
PROBLEM
.
310
10.2.3
POPULATION
BALANCE
WITH
DIFFUSION
AND
DIRECT
IMMIGRATION-EMIGRATION:
INVASION
AND
SETTLEMENT
OF
NEW
SPECIES
.
317
10.3
TWO
AND
MULTISPECIES
POPULATION
DYNAMICS
WITH
DISPERSAL
.
321
10.3.1
LOTKA-VOLTERRA
PREDATOR-PREY
MODEL
.
322
10.3.2
TRAVELLING
WAVES
.
326
10.3.3
THE
EFFECT
OF
CROSS-DIFFUSION
.
333
10.3.4
THE
EFFECT
OF
ADVECTIVE
FLOW
ON
PREDATOR-PREY
SYSTEMS
.
334
CONTENTS
XVII
10.4
THE
EFFECT
OF
DENSITY-DEPENDENT
DISPERSAL
ON
POPULATION
DYNAMICS
.
336
10.5
THE
EFFECT
OF
DISPERSAL
ON
COMPETING
POPULATIONS
.
343
10.6
PATTERN-DEVELOPING
INSTABILITY
IN
DIFFUSION-REACTION
SYSTEMS:
THE
DEVELOPMENT
OF
PATCHINESS
.
348
10.7
NONLINEAR
STABILITY
ANALYSIS
FOR
DIFFUSION-REACTION
SYSTEMS
.
357
10.8
MODELS
OF
AGE-DEPENDENT
DISPERSAL
.
364
REFERENCES
.
374
AUTHOR
INDEX
.
443
SUBJECT
INDEX
.
459 |
| any_adam_object | 1 |
| author_GND | (DE-588)1089198329 |
| building | Verbundindex |
| bvnumber | BV014317913 |
| callnumber-first | Q - Science |
| callnumber-label | QH541 |
| callnumber-raw | QH541.15.M3 |
| callnumber-search | QH541.15.M3 |
| callnumber-sort | QH 3541.15 M3 |
| callnumber-subject | QH - Natural History and Biology |
| classification_rvk | SK 950 WI 1500 WI 2050 |
| classification_tum | BIO 105f BIO 134f |
| ctrlnum | (OCoLC)45247335 (DE-599)BVBBV014317913 |
| 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 11 45118 |
| dewey-tens | 570 - Biology |
| discipline | Biologie Mathematik |
| edition | 2. ed. |
| format | Book |
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| id | DE-604.BV014317913 |
| illustrated | Illustrated |
| indexdate | 2024-08-23T00:39:31Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009823163 |
| oclc_num | 45247335 |
| open_access_boolean | |
| owner | DE-20 DE-91G DE-BY-TUM DE-M49 DE-BY-TUM DE-29T DE-703 DE-634 DE-83 DE-11 |
| owner_facet | DE-20 DE-91G DE-BY-TUM DE-M49 DE-BY-TUM DE-29T DE-703 DE-634 DE-83 DE-11 |
| physical | XX, 467 S. Ill., graph. Darst. |
| publishDate | 2001 |
| publishDateSearch | 2001 |
| publishDateSort | 2001 |
| publisher | Springer |
| record_format | marc |
| series | Interdisciplinary applied mathematics |
| series2 | Interdisciplinary applied mathematics |
| spelling | Diffusion and ecological problems modern perspectives Akira Okubo, with Simon A. Levin 2. ed. New York [u.a.] Springer 2001 XX, 467 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Interdisciplinary applied mathematics 14 Biogéographie - Modèles mathématiques Diffusion (Physique) - Modèles mathématiques Écologie - Modèles mathématiques Mathematisches Modell Ökologie Biogeography Mathematical models Diffusion Mathematical models Ecology Mathematical models Ökologie (DE-588)4043207-5 gnd rswk-swf Ökosystem (DE-588)4043216-6 gnd rswk-swf Populationsdynamik (DE-588)4046803-3 gnd rswk-swf Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf Diffusion (DE-588)4012277-3 gnd rswk-swf Verbreitungsökologie (DE-588)4332360-1 gnd rswk-swf Diffusion (DE-588)4012277-3 s Ökologie (DE-588)4043207-5 s Mathematisches Modell (DE-588)4114528-8 s DE-604 Verbreitungsökologie (DE-588)4332360-1 s Populationsdynamik (DE-588)4046803-3 s Ökosystem (DE-588)4043216-6 s Okubo, Akira Sonstige oth Levin, Simon Asher 1941- Sonstige (DE-588)1089198329 oth Früher u.d.T. Okubo, Akira Diffusion and ecological problems Interdisciplinary applied mathematics 14 (DE-604)BV004216726 14 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009823163&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Diffusion and ecological problems modern perspectives Interdisciplinary applied mathematics Biogéographie - Modèles mathématiques Diffusion (Physique) - Modèles mathématiques Écologie - Modèles mathématiques Mathematisches Modell Ökologie Biogeography Mathematical models Diffusion Mathematical models Ecology Mathematical models Ökologie (DE-588)4043207-5 gnd Ökosystem (DE-588)4043216-6 gnd Populationsdynamik (DE-588)4046803-3 gnd Mathematisches Modell (DE-588)4114528-8 gnd Diffusion (DE-588)4012277-3 gnd Verbreitungsökologie (DE-588)4332360-1 gnd |
| subject_GND | (DE-588)4043207-5 (DE-588)4043216-6 (DE-588)4046803-3 (DE-588)4114528-8 (DE-588)4012277-3 (DE-588)4332360-1 |
| title | Diffusion and ecological problems modern perspectives |
| title_auth | Diffusion and ecological problems modern perspectives |
| title_exact_search | Diffusion and ecological problems modern perspectives |
| title_full | Diffusion and ecological problems modern perspectives Akira Okubo, with Simon A. Levin |
| title_fullStr | Diffusion and ecological problems modern perspectives Akira Okubo, with Simon A. Levin |
| title_full_unstemmed | Diffusion and ecological problems modern perspectives Akira Okubo, with Simon A. Levin |
| title_old | Okubo, Akira Diffusion and ecological problems |
| title_short | Diffusion and ecological problems |
| title_sort | diffusion and ecological problems modern perspectives |
| title_sub | modern perspectives |
| topic | Biogéographie - Modèles mathématiques Diffusion (Physique) - Modèles mathématiques Écologie - Modèles mathématiques Mathematisches Modell Ökologie Biogeography Mathematical models Diffusion Mathematical models Ecology Mathematical models Ökologie (DE-588)4043207-5 gnd Ökosystem (DE-588)4043216-6 gnd Populationsdynamik (DE-588)4046803-3 gnd Mathematisches Modell (DE-588)4114528-8 gnd Diffusion (DE-588)4012277-3 gnd Verbreitungsökologie (DE-588)4332360-1 gnd |
| topic_facet | Biogéographie - Modèles mathématiques Diffusion (Physique) - Modèles mathématiques Écologie - Modèles mathématiques Mathematisches Modell Ökologie Biogeography Mathematical models Diffusion Mathematical models Ecology Mathematical models Ökosystem Populationsdynamik Diffusion Verbreitungsökologie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009823163&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV004216726 |
| work_keys_str_mv | AT okuboakira diffusionandecologicalproblemsmodernperspectives AT levinsimonasher diffusionandecologicalproblemsmodernperspectives |