Integrated population biology and modeling, part A:
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| Other Authors: | , |
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| Format: | Book |
| Language: | English |
| Published: |
Amsterdam
Elsevier, North Holland
[2018]
|
| Series: | Handbook of statistics
volume 39 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | xix, 627 Seiten Illustrationen, Diagramme 24 cm |
| ISBN: | 9780444640727 |
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| 245 | 1 | 0 | |a Integrated population biology and modeling, part A |c edited by Arni S. R. Srinivasa Rao, C.R. Rao |
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| adam_text | Contents
Contributors xv
Preface xvii
Section I
Cellular Population Dynamics
1. Population Dynamics and Evolution of Cancer Cells 3
Ignacio A. Rodriguez-Brenes and Dominik Wodarz
1 Introduction 3
2 Evolutionary Dynamics of Escape From Tissue Homeostasis 6
2.1 Mathematical Models of Tissue Homeostasis 6
2.2 Evolutionary Dynamics of Feedback Escape 8
2.3 Feedback, Stem Cell Enrichment, and Drug Resistance 10
3 Telomeres and the Evolutionary Potential of Cells 12
3.1 Replicative Limits and Cellular Hierarchy 12
3.2 Replicative Limits and Precancerous Mutations 15
3.3 Replicative Limits in a Growing Cell Population 17
4 Dynamics of Therapy Responses and Resistance Evolution 19
4.1 Dynamics Underlying Chemoprevention With Aspirin 24
5 Conclusions 28
References 28
2. Stochastic and Deterministic Modeling of Cell
Migration 37
Enrico Gavagnin and Christian A. Yates
1 Introduction 38
2 Cell Motility 42
2.1 Connecting Stochastic and Deterministic Models of Cell
Movement 42
2.2 Higher Dimensions 57
2.3 Higher Order Closure Approximations 59
3 Model Extensions 62
3.1 Cell Proliferation 63
3.2 Cell Interactions 68
3.3 Growing Domains 77
3.4 Persistence of Motion 82
4 Conclusion 85
References 86
v
vi Contents
3. Data-Driven Mathematical Modeling of Microbial
Community Dynamics 93
Shinji Nakaoka
1 Introduction 93
2 Microbial Community Profiling 94
3 Mechanistic Modeling Approach 96
3.1 Derivation of Specific LV Systems 98
3.2 Generalized Lotka—Volterra Equations 100
3.3 Data Fitting 102
4 Data-Driven Approach 110
4.1 Attractor Reconstruction From Time-Series Data 112
5 Conclusion 126
Acknowledgments 128
References 128
4. Reaction-Diffusion Kinetics in Growing Domains 131
Carlos Escudero, Santos Bravo Yuste, Enrique Abad,
and Felipe Le Vot
1 Introduction 132
2 Diffusion on a Uniformly Crowing Domain 133
2.1 Langevin Equation 133
2.2 Fokker-Planck Equation 135
3 Encounter-Controlled Annihilation: Mean-Field Theory 141
4 Exact Solution for Encounter-Controlled Annihilation 144
5 Conclusions and Outlook 148
Acknowledgments 149
References 150
Section II
Insect Experiments to Human Demographic Theories
5. The Life Table Population Identity: Discovery,
Formulations, Proof, Extensions, and Applications 1 55
James R. Carey, Sarah Silverman,
and Ami S.R. Srinivasa Rao
1 Introduction 155
2 Brouard s Theorem 156
2.1 Background 157
2.2 Equality of Life-Lived and Life-Left Pyramids 157
3 Discovery of Carey s Equality 158
3.1 Background and Motivation 158
3.2 Framing the Concept 160
3.3 Simulation Studies 160
3.4 Construction of a Heuristic Life Table 162
3.5 Visualization 164
Contents
VII
4 Formulations 167
4.1 Model 1: Equality of Age Structure and Death Distribution 167
4.2 Model 2: Theorem of Life Lived and Life Left 167
5 A Proof 169
6 Extensions 170
6.1 Death Cohort Equal Birth Cohort 170
6.2 Equality in Stable Populations 172
6.3 Nonstationary/Nonstable Populations 173
7 Applications: Residual Demography in Medfly Populations 1 74
7.1 Medfly Population Seasonal Trends in Mean Age 1 75
7.2 Age-Structure Estimation 179
8 Relevance and Implications for Future Studies 180
8.1 Human Evolution 181
8.2 Historical Demography 181
8.3 Demographic Principles 182
8.4 Replacement-Level Populations in the 21st Century 182
8.5 Future World 183
9 Conclusions 183
Acknowledgments 183
References 183
6. Stochastic Modeling of Some Natural Phenomena:
A Special Reference to Human Fertility 187
Ram Chandra Yadava
1 Introduction 187
1.1 Model Building 190
1.2 The Qualities of a Model Builder 190
1.3 Uses of Mathematical Models 191
2 Models Based on Bernoulli Trials 191
2.1 Bernoulli Trials and Related Distributions 191
2.2 Binomial Distribution 192
2.3 Geometric Distribution 192
2.4 Negative Binomial Distribution 193
2.5 Applications of Binomial, Geometric, and Negative
Binomial Distributions in Human Reproduction Process 194
2.6 Some Extended Distributions 197
2.7 Stopping Rule and Sex Ratio at Birth 204
2.8 Binomial Distribution as a Number of Male Births out
of n Births: A Caution 205
2.9 Sex Ratio at Birth Under Sex-Selective Abortions 208
2.10 A Modified Form of Binomial Distribution 211
2.11 A Probability Model for Time of First Conception/Birth 21 5
2.12 Time Between Consecutive Births (Interlive Birth Interval
or Closed Birth Interval) 216
2.1 3 A Probability Model for Number of Births for Migrated
Couples 217
vifi
Contents
3 Poisson, Exponential, and Gamma Distributions as Continuous
Analog of Binomial, Geometric, and Negative-Binomial
Distributions 218
3.1 Poisson Distribution 218
3.2 An Alternative Way for Finding pk(t): The Use of Gamma
Distribution 221
3.3 A Probability Model for Number of Complete Conceptions
in Time Interval (0, 7) 222
3.4 Exponential Distribution as Continuous Analog of
Geometric Distribution 224
3.5 A Probability Model for Time of First Birth 224
3.6 A Probability Model for Time of First Birth Accounting
for Adolescent Sterility 225
3.7 Menstruating Interval Under Nonuse of Contraception 225
4 A Parity-Dependent Model for Number of Births and
Its Application 228
5 Equilibrium Birth Process 240
6 Distribution Function and Its Use in Computation of Certain
Parameters 249
7 Use of [1 — F(x)] in Computation of Certain Parameters of Interest 252
7.1 Prevalence/incidence Mean 252
7.2 Estimation of Mean PPA Using Prevalence/
Incidence Method 254
7.3 Application for Computation of Mean Duration of
Breastfeeding 255
7.4 Estimation of Parity Progression Ratios and IPPR From
Open and Closed Birth Interval Data 255
8 Use of Mathematical Models: Some Examples 264
8.1 Better Understanding 264
8.2 Getting Estimates of Parameters 265
8.3 Testing Adequacy of Model 265
8.4 Impact of Alternations in Parameters 267
8.5 Explaining Apparent Inconsistencies 267
Acknowledgments 273
References 273
Further Reading 274
7. Two Decades of Drosophila Population Dynamics:
Modeling, Experiments, and Implications 275
Sutirth Dey and Amitabh Joshi
1 Introduction 276
2 The Laboratory Ecology of Drosophila 279
3 The Drosophila Model: The Importance of Larval and
Adult Food Levels 280
4 Larval vs Adult Food Levels and the Dynamics of Small
Drosophila Populations 282
5 Effects of Immigration on Small Population Constancy
and Persistence 284
Contents ix
6 Synchrony and Asynchrony in Metapopulations 286
7 Stabilizing Small Populations 292
7.1 Stabilizing Spatially Unstructured Populations 293
7.2 Stabilizing Spatially Structured Populations 296
8 The Devil in the Details 297
9 Life History, Competitive Ability and the Evolution
of Population Stability 298
10 Conclusions 304
Acknowledgments 306
References 306
Section III
Complex Environmental and Biogeochemical
Dynamics
8. The Environmental Kuznets Curve Fails in a
Globalized Socio-Ecological Metapopulation:
A Sustainability Game Theory Approach 315
Tamer Oraby, Chris I Bauch, and Madhur Anand
1 Introduction 316
2 Methods 319
2.1 Game Description 319
2.2 Ecosystem Services Impacts and the Cost of Abatement 325
2.3 Nash Equilibrium 327
3 Results 327
3.1 Intrinsic Problem 327
3.2 Extrinsic Problem 330
3.3 Intrinsic—Extrinsic Problem 330
3.4 Sensitivity Analysis 333
4 Discussion 335
5 Conclusion 336
References 336
9. Integrated Approach for Modeling Coastal Lagoons;
A Case for Chilka Lake, India 343
S.R.V! Prasad Bhuvanagiri, Srinivasu Pichika, Raman
Akkur, Kalavati Chaganti, Rakhesh Madhusoodhanan/
and Sarada Varma Pusapati
1 Introduction 344
2 Study Area 345
3 Sampling Methods and Analysis 347
3.1 Sampling Methods 347
3.2 Salinity Measurements and Local Weather Data 347
3.3 Data Analysis 348
3.4 Hydrobiology 348
4 Ecosystem Modeling 360
X
Contents
5 3D Description of Chilka Lagoon 361
5.1 The Algorithm 363
5.2 Algorithm Implementation 363
5.3 inferences From 3D Visualization 366
5.4 Hydro-Environmental Findings 368
5.5 Water and Salt Budgets for Chilka 372
6 Dissolved Oxygen Dynamics 381
6.1 Abstract Mathematical Model for DO Dynamics 384
6.2 Development of Biogeochemical Model for DO in Lake Chilka 385
6.3 Sensitivity Analysis 391
6.4 Model Calibration and Validation 392
6.5 Influence of Individual Plankton Groups on the DO Dynamics 393
7 Conclusions 395
Acknowledgments 396
References 396
Further Reading 400
Section IV
Measures of Mortality and Stochastics
10. Measures and Models of Mortality 405
Vladimir Canudas-Romo, Stefano Mazzuco, and Lucia
Zanotto
1 Mortality Measures 405
1.1 Life Tables 406
1.2 Life Expectancy: Period vs Cohort 407
1.3 Period-Cohort Measures: CAL and TCAL 410
1.4 Mean, Median, Modal, and Maximum Ages at Death 413
1.5 Variability of Age at Death 414
2 Mortality Models 416
2.1 Gompertz 417
2.2 Gamma-Gompertz 420
2.3 Logistic 423
2.4 (Generalized) Extreme-Value 425
2.5 Siler 427
2.6 Mixture 429
2.7 Heligman-Pollard Model 433
3 Estimation Methods 434
References 440
11. Stochastic Population Models 443
John Fricks and Ephraim Hanks
1 Introduction 443
2 Markov Population Models 445
2.1 Definition and Representations 445
2.2 Numerical Methods and Large-Sample Approximations 454
Contents xi
3 Inference for Well-Mixed Population Processes 461
3.1 Inference for Directly Observed Population Processes 461
3.2 Inference for Discrete-Time Observations With
Measurement Error 462
3.3 Example: Simulated Birth—Death Process 463
4 Spatial Population Processes 466
4.1 Large-N Limits of Spatial Birth-Death Processes 468
4.2 Spatial Diffusion From Spatial Birth—Death Processes 469
4.3 Inference on Spatial Birth Death Process Parameters 471
4.4 Example: Simulated Spatial Population Process 473
5 Conclusions 477
References 478
12. Survival Probabilities From 5-Year Cumulative Life
Table Survival Ratios (Tx+5/Tx): Some Innovative
Methodological Investigations 481
Subrata Lahiri
1 Introduction 482
1.1 Some Preliminary Concepts and Definitions 482
1.2 Types of Life Table 483
1.3 Needs, Importance, and Uses of Life Tables 484
1.4 Life Table Based on Age-Return Only 490
1.5 Old-Age Mortality 497
1.6 Mortality Models 499
1.7 Recent Contributions of Arni S. R. Srinivasa Rao and
James R. Carey on Stationary Population and Other
Related Issues 500
2 A New Methodology for Life Table Construction at Ages 5
and Above From 5-Year Cumulative Life Table Survival Ratios
(Tx+5/Tx) by Lahiri 500
2.1 Introduction 500
2.2 Methodology: Analytical Approaches 502
3 Summary and Conclusions 519
3.1 Some Specific Observations and Direction for Future
Research 521
Acknowledgments 522
Appendix A: Analytical Justification for the Algebraic Chain
Relationship (Formula 3 or 4 in the Text) Between the Two
Consecutive 5px s Under Conventional Approximation for
$LX From lx 522
Appendix B: Some Issues Related to the Fixation of and
Invariant Properties of 5S(X-5)+ sEvJ-5, and sPw-s Over
Iterations Under Approach-!I for Life Table Construction 523
Invariant Properties of 5s w-5)+, 5 W-5, and sp^-s Over Iterations 524
Appendix C: Mathematical Proof of Convergence of the Iterative
Procedure for Constructing Adult Abridged Mortality or Life
Table From Cumulative Life Table Survival Ratios 525
Appendix D: Tabular Calculations 531
Main Text References 539
Suggested Reading 542
XII
Contents
Section V
Human Inequality Measures and Well Being
13. Methods of Measuring Human Well-being and
Human Development 545
Udoy Saikia, Gouranga Dasvarma, and James Chalmers
1 Aims and Purpose 546
2 Identifying the Statistical Problem 546
3 Recent Developments in the Search for Innovations 547
4 Unsupported Assumptions About the Existing
Metric 548
5 The Linkage of Process Data With Subjectivity 548
6 Innovations in the Human Development
Index System 549
7 Subjective/Processual Breakthrough in the
GNH System 551
8 Introduction to Flinders University Innovation 552
9 Quantifying Human Development: The Case of Timor-Leste
2016-17 553
10 Calculation of HDI and GDI 554
10.1 Data and Methods 554
11 Calculation of HDI and GDI and Their Components for
the Total Population 555
11.1 Components of HDI 555
11.2 HDI and Gender Development Index for the Youth
(Population Aged 1 5-34 Years) 562
12 Gender Development Index for the Youth 564
13 Quantifying Human Well-being: The Case of Assam
Well-being Survey 2015 565
14 What Would a Well-being Index Do? 566
15 How Is Well-being Defined in a Well-being Index? 566
16 The Dimensions of Well-being Are Interconnected 567
17 Key Steps in Preparing a Well-being Index 567
18 Measuring Human Well-being in Assam, India 568
19 What Are the Main Uses of a Well-being Index? 571
Appendix: Methodology of Measuring Subjective Well-being 571
References 574
Further Reading 575
14. A Bio-Demographic Perspective on Inequality and
Life Expectancy: An Analysis of 159 Countries for
the Periods 1970-90 and 1990-2010 577
David A. Swanson and Lucky M. Tedrow
1 Introduction 578
2 Data and Methods 581
Contents
XIII
3 Results 584
3.1 Changes in Life Expectancy and Differences Among
the SES Quartiles 584
3.2 Changes in SES 587
4 Discussion 587
5 Concluding Remarks 591
Appendix 593
References 611
Further Reading 61 3
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| spelling | Integrated population biology and modeling, part A edited by Arni S. R. Srinivasa Rao, C.R. Rao Amsterdam Elsevier, North Holland [2018] © 2018 xix, 627 Seiten Illustrationen, Diagramme 24 cm txt rdacontent n rdamedia nc rdacarrier Handbook of statistics volume 39 Populationsbiologie (DE-588)4046800-8 gnd rswk-swf Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf (DE-588)4143413-4 Aufsatzsammlung gnd-content Populationsbiologie (DE-588)4046800-8 s Mathematisches Modell (DE-588)4114528-8 s DE-604 Rao, Arni S. R. Srinivasa (DE-588)1143256220 edt Rao, C.R. edt Handbook of statistics volume 39 (DE-604)BV000002510 39 Digitalisierung UB Bamberg - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=030347613&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
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| title | Integrated population biology and modeling, part A |
| title_auth | Integrated population biology and modeling, part A |
| title_exact_search | Integrated population biology and modeling, part A |
| title_full | Integrated population biology and modeling, part A edited by Arni S. R. Srinivasa Rao, C.R. Rao |
| title_fullStr | Integrated population biology and modeling, part A edited by Arni S. R. Srinivasa Rao, C.R. Rao |
| title_full_unstemmed | Integrated population biology and modeling, part A edited by Arni S. R. Srinivasa Rao, C.R. Rao |
| title_short | Integrated population biology and modeling, part A |
| title_sort | integrated population biology and modeling part a |
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