Ecological dynamics:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York [u.a.]
Oxford Univ. Press
1998
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XIII, 335 S. graph. Darst. |
| ISBN: | 0195104439 |
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Record in the Search Index
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| adam_text | ECOLOGICAL DYNAMICS W. S. C. GURNEY UNIVERSITY OF STRATHCLYDE R. M.
NISBET UNIVERSITY OF CALIFORNIA, SANTA BARBARA NEW YORK OXFORD OXFORD
UNIVERSITY PRESS 1998 CONTENTS PREFACE XI PART I METHODOLOGIES AND
TECHNIQUES 1 ECOLOGICAL MODELLING 1 1.1 ECOLOGY 1 1.2 MODELS,
MATHEMATICS, AND ECOLOGICAL THEORY 2 1.3 DETERMINISTIC MODELS 3 1.3.1
STATE VARIABLES 3 1.3.2 MODELLING IN DISCRETE TIME 4 1.3.3 MODELLING IN
CONTINUOUS TIME 6 1.4 BALANCE EQUATIONS 10 1.4.1 BALANCE EQUATIONS FOR
CHEMICALLY INERT MATERIALS 10 1.4.2 BALANCE EQUATION FOR AN OPEN
POPULATION 11 1.4.3 MORE COMPLEX BALANCE EQUATIONS 12 1.5 FORMULATING
DETERMINISTIC MODELS 12 1.5.1 A MODEL OF AN OPEN POPULATION 13 1.5.2 A
MODEL OF A CLOSED POPULATION 13 1.5.3 A MODEL OF TOXICANT IN A LAKE 14
1.6 DETERMINISTIC MODELS IN A RANDOM WORLD 14 1.6.1 RANDOM ENVIRONMENTS
AND RANDOM PROCESSES 14 1.6.2 STOCHASTIC MODELS 15 1.6.3 DETERMINISTIC
MODELS 17 2 DYNAMICS 19 2.1 DYNAMIC EQUATIONS 19 2.1.1 ANALYTIC AND
NUMERICAL SOLUTIONS 19 2.2 SIMPLE DYNAMIC PATTERNS 20 2.2.1 GEOMETRIC
GROWTH 21 2.2.2 OSCILLATIONS 22 2.2.3 ATTRACTORS 24 2.3 COMPLEX DYNAMICS
IN A FISH POPULATION MODEL 27 2.4 ANALYSIS OF DISCRETE-TIME MODELS 31
2.4.1 EQUILIBRIUM AND STABILITY IN THE MUSSEL MODEL 31 2.4.2 LOCAL
STABILITY ANALYSIS 32 2.5 ANALYSIS OF CONTINUOUS-TIME MODELS 35 2.5.1
THE LOGISTIC MODEL 36 2.5.2 LOCAL STABILITY ANALYSIS: ONE DIFFERENTIAL
EQUATION 37 VI CONTENTS 2.5.3 THE LOTKA-VOLTERRA MODEL 38 2.5.4 LOCAL
STABILITY ANALYSIS: TWO DIFFERENTIAL EQUATIONS 40 2.6 NON-AUTONOMOUS
DYNAMICS 41 2.6.1 GEOMETRIC AND EXPONENTIAL GROWTH 42 2.6.2 FLUCTUATIONS
AROUND EQUILIBRIUM 44 2.7 SOURCES AND SUGGESTED FURTHER READING 46 2.8
EXERCISES AND PROJECT 46 3 A DYNAMICIST S TOOLBOX 49 3.1 DIMENSIONAL
ANALYSIS AND SCALING 50 3.1.1 LOGISTIC MODEL 50 3.1.2 REDUCING EQUATIONS
TO DIMENSIONLESS FORM 52 3.1.3 DYNAMICAL INFORMATION FROM DIMENSIONAL
ANALYSIS 53 3.2 ANALYSIS OF DYNAMICS NEAR EQUILIBRIUM 54 3.2.1 LOCAL
LINEARISATION AND THE CHARACTERISTIC EQUATION 54 3.2.2 LOCAL STABILITY
57 3.2.3 LOCAL INSTABILITY AND THE ONSET OF OSCILLATIONS 59 3.3 DISCRETE
VERSUS CONTINUOUS MODELS 61 3.3.1 TIME IS CONTINUOUS 61 3.3.2 LOGISTIC
GROWTH: A CAUTIONARY TALE 61 3.3.3 PREDATOR-PREY INTERACTION: A
SEMI-EMPIRICAL FOR- MULATION 64 3.4 MODELLING AGE STRUCTURE 66 3.4.1
AGE-STRUCTURE MODELS IN DISCRETE TIME 66 3.4.2 AGE-STRUCTURE MODELS IN
CONTINUOUS TIME 67 3.5 BALANCE EQUATIONS FOR SPATIALLY EXPLICIT MODELS
69 3.5.1 DISCRETE TIME AND SPACE 69 3.5.2 CONTINUOUS TIME AND SPACE 71
3.6 EXERCISES AND PROJECT 74 PART II INDIVIDUALS TO ECOSYSTEMS 4
MODELLING INDIVIDUALS 79 4.1 SURVIVAL AND REPRODUCTION 79 4.1.1
PER-CAPITA MORTALITY RATE 79 4.1.2 AGE-INDEPENDENT MORTALITY 80 4.1.3
AGE-DEPENDENT MORTALITY 81 4.1.4 FECUNDITY SCHEDULE AND LIFETIME
REPRODUCTIVE OUT- PUT 83 4.2 FEEDING AND THE FUNCTIONAL RESPONSE 85
4.2.1 THE HOLLING DISC EQUATION 86 4.2.2 REWARD-DEPENDENT SEARCHING 88
4.2.3 TWO TYPES OF FOOD 90 4.2.4 CONSUMER STRATEGY 91 4.3 THE ENERGETICS
OF GROWTH AND REPRODUCTION 93 4.3.1 BALANCING INCOME AND COSTS 94
CONTENTS VII 4.3.2 GROWTH IN A CONSTANT ENVIRONMENT 95 4.3.3 EXPONENTIAL
AND VON BERTALANFFY GROWTH 97 4.3.4 THE INTERACTION BETWEEN REPRODUCTION
AND GROWTH 99 4.4 LIFE HISTORY SELECTION 103 4.5 CASE STUDIES 105 4.5.1
GROWTH AND REPRODUCTION IN AN ABYSSAL SEA URCHIN 105 4.5.2 POLLUTION OF
THE MARINE ENVIRONMENT 110 4.6 SOURCES AND SUGGESTED FURTHER READING 114
4.7 EXERCISES AND PROJECTS 114 5 SINGLE-SPECIES POPULATIONS 118 5.1
GEOMETRIC AND EXPONENTIAL POPULATION GROWTH 118 5.1.1 DISCRETE
GENERATIONS 118 5.1.2 CONTINUOUS REPRODUCTION 119 5.1.3 VARIABLE
ENVIRONMENTS, SMALL POPULATIONS, AND EX- TINCTION 121 5.2 DENSITY
DEPENDENCE 123 5.2.1 DISCRETE GENERATION MODELS WITH DENSITY DEPEN-
DENCE 125 5.2.2 DENSITY DEPENDENCE IN CONTINUOUS-TIME MODELS 129 5.3
EVOLUTIONARY CHANGE 131 5.4 CASE STUDIES 132 5.4.1 DYNAMICS OF A SMALL
BIRD POPULATION 132 5.4.2 ENERGY-LIMITED GROWTH OF A WATERFLEA
POPULATION 135 5.4.3 THE IMPACT OF A POWER PLANT ON A COASTAL FISHERY
139 5.5 SOURCES AND SUGGESTED FURTHER READING 145 5.6 EXERCISES AND
PROJECT 145 6 INTERACTING POPULATIONS 148 6.1 DISCRETE-TIME
CONSUMER-RESOURCE MODELS 148 6.1.1 PLANTS AND HERBIVORES 148 6.1.2
PARASITOIDS AND HOSTS 151 6.2 PREDATOR-PREY SYSTEMS 154 6.2.1 THE
LOTKA-VOLTERRA MODEL 155 6.2.2 SELF-LIMITING PREY 159 6.2.3 THE PARADOX
OF ENRICHMENT 161 6.3 COMPETITION 164 6.3.1 COMPETITIVE EXCLUSION 164
6.3.2 DENSITY DEPENDENCE AND COMPETITIVE COEXISTENCE 166 6.3.3 VARYING
ENVIRONMENTS 167 6.4 CASE STUDIES 171 6.4.1 STABILITY AND ENRICHMENT 171
6.4.2 COEXISTENCE IN A VARIABLE ENVIRONMENT 175 6.5 SOURCES AND
SUGGESTED READING 179 6.6 EXERCISES AND PROJECT 180 VIII CONTENTS
ECOSYSTEMS 7.1 MODELLING ECOSYSTEMS 7.1.1 THE ECOSYSTEM PARADIGM 7.1.2
FORMULATING ECOSYSTEM MODELS 7.2 LINEAR FOOD-CHAINS 7.2.1 CONSTANT
PRODUCTION: LINEAR FUNCTIONAL RESPONSE 7.2.2 LOGISTIC PRIMARY PRODUCTION
7.2.3 TYPE II FUNCTIONAL RESPONSE 7.3 MATERIAL CYCLING 7.3.1 LINEAR
TROPHIC INTERACTIONS 7.3.2 TYPE II TROPHIC INTERACTIONS 7.4 ECOSYSTEM
DYNAMICS 7.5 CASE STUDY: A FJORD ECOSYSTEM 7.5.1 BACKGROUND 7.5.2 THE
MODEL 7.5.3 PARAMETERS AND DRIVING FUNCTIONS 7.5.4 TESTING THE MODEL
7.5.5 SEA-LOCH DYNAMICS 7.6 SOURCES AND SUGGESTED FURTHER READING 7.7
EXERCISES AND PROJECT PART III FOCUS ON STRUCTURE PHYSIOLOGICALLY
STRUCTURED POPULATIONS 8.1 MODELLING AGE-STRUCTURED POPULATIONS IN
DISCRETE TIME 8.1.1 BALANCE EQUATIONS 8.1.2 AGEING AND RECRUITMENT 8.1.3
EXPONENTIALLY GROWING POPULATIONS 8.1.4 CONTROL AND STATIONARY STATES
8.2 MODELLING SIZE-STRUCTURED POPULATIONS IN DISCRETE TIME 8.2.1 FIXED
AGE-SIZE RELATIONS 8.2.2 MODELS WITH DYNAMIC GROWTH 8.3 MODELLING
AGE-STRUCTURED POPULATIONS IN CONTINUOUS TIME 8.3.1 BALANCE EQUATIONS
8.3.2 EXPONENTIALLY GROWING POPULATIONS 8.3.3 STATIONARY STATES 8.3.4
LOCAL STABILITY 8.3.5 NUMERICAL REALISATION 8.4 MODELLING
SIZE-STRUCTURED POPULATIONS IN CONTINUOUS TIME 8.4.1 BALANCE EQUATIONS
8.4.2 STATIONARY STATES 8.4.3 NUMERICAL REALISATION 8.5 MODELLING
STAGE-STRUCTURED POPULATIONS 8.5.1 MODEL FORMULATION 8.5.2 AN
ILLUSTRATION 183 183 183 184 185 185 189 191 195 195 198 200 201 201 203
207 209 211 217 218 223 223 223 224 226 227 229 229 232 237 237 239 239
240 242 246 246 246 248 251 251 253 CONTENTS IX 8.6 CASE STUDIES 256
8.6.1 NICHOLSON S BLOWFLIES 257 8.6.2 BARNACLE POPULATION DYNAMICS 262
8.7 SOURCES AND SUGGESTED FURTHER READING 266 8.8 EXERCISES AND PROJECT
267 9 SPATIALLY STRUCTURED POPULATIONS 270 9.1 MODELLING DISTRIBUTIONS
IN DISCRETE TIME 271 9.1.1 BALANCE EQUATIONS 271 9.1.2 DESCRIBING
DISPERSAL 273 9.1.3 PATTERNS OF SPREAD: NON-REPRODUCING ORGANISMS 276
9.1.4 PATTERNS OF SPREAD: REPRODUCING ORGANISMS 279 9.1.5 INHOMOGENEOUS
ENVIRONMENTS 282 9.1.6 INTERACTING POPULATIONS 285 9.2 MODELLING
DISTRIBUTIONS IN CONTINUOUS TIME 289 9.2.1 DESCRIBING DISPERSAL 289
9.2.2 GROWTH AND DISPERSAL 291 9.2.3 INHOMOGENEOUS ENVIRONMENTS 293 9.3
AN OVERVIEW OF DENSITY DISTRIBUTION MODELLING 295 9.4 EXPLOITING
STRUCTURAL FEATURES OF THE ENVIRONMENT 296 9.4.1 A POPULATION AND ITS
ENVIRONMENT 296 9.4.2 PATCH DYNAMIC MODELS 299 9.4.3 METAPOPULATIONS 302
9.5 OPEN QUESTIONS AND UNSOLVED PROBLEMS 305 9.5.1 FORMULATION ISSUES
305 9.5.2 PARAMETERISATION AND TESTING 306 9.5.3 STRATEGIC QUESTIONS 307
9.6 CASE STUDY: FOXES AND RABIES IN EUROPE 308 9.6.1 BACKGROUND 308
9.6.2 A FIRST MODEL 309 9.6.3 A MODEL WITH A LATENT PERIOD 311 9.6.4 A
NUMERICAL INVESTIGATION 312 9.7 SOURCES AND SUGGESTED FURTHER READING
316 9.8 EXERCISES AND PROJECT 317 BIBLIOGRAPHY 320 INDEX 329
|
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| id | DE-604.BV012150446 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T18:22:34Z |
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| isbn | 0195104439 |
| language | English |
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| physical | XIII, 335 S. graph. Darst. |
| publishDate | 1998 |
| publishDateSearch | 1998 |
| publishDateSort | 1998 |
| publisher | Oxford Univ. Press |
| record_format | marc |
| spelling | Gurney, W. S. C. Verfasser aut Ecological dynamics W. S. C. Gurney ; R. M. Nisbet New York [u.a.] Oxford Univ. Press 1998 XIII, 335 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Mathematisches Modell Ökologie Ecology Mathematical models Environmental management Mathematical models Environmental sciences Mathematical models Ökologie (DE-588)4043207-5 gnd rswk-swf Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf Umweltwissenschaften (DE-588)4137364-9 gnd rswk-swf Ökologie (DE-588)4043207-5 s Mathematisches Modell (DE-588)4114528-8 s DE-604 Umweltwissenschaften (DE-588)4137364-9 s Nisbet, Roger M. 1946- Verfasser (DE-588)113001622 aut GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008229577&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Gurney, W. S. C. Nisbet, Roger M. 1946- Ecological dynamics Mathematisches Modell Ökologie Ecology Mathematical models Environmental management Mathematical models Environmental sciences Mathematical models Ökologie (DE-588)4043207-5 gnd Mathematisches Modell (DE-588)4114528-8 gnd Umweltwissenschaften (DE-588)4137364-9 gnd |
| subject_GND | (DE-588)4043207-5 (DE-588)4114528-8 (DE-588)4137364-9 |
| title | Ecological dynamics |
| title_auth | Ecological dynamics |
| title_exact_search | Ecological dynamics |
| title_full | Ecological dynamics W. S. C. Gurney ; R. M. Nisbet |
| title_fullStr | Ecological dynamics W. S. C. Gurney ; R. M. Nisbet |
| title_full_unstemmed | Ecological dynamics W. S. C. Gurney ; R. M. Nisbet |
| title_short | Ecological dynamics |
| title_sort | ecological dynamics |
| topic | Mathematisches Modell Ökologie Ecology Mathematical models Environmental management Mathematical models Environmental sciences Mathematical models Ökologie (DE-588)4043207-5 gnd Mathematisches Modell (DE-588)4114528-8 gnd Umweltwissenschaften (DE-588)4137364-9 gnd |
| topic_facet | Mathematisches Modell Ökologie Ecology Mathematical models Environmental management Mathematical models Environmental sciences Mathematical models Umweltwissenschaften |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008229577&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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