
Advanced Distance Sampling
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Content
- Intro
- Contents
- 1 Introduction to advanced distance sampling
- 2 General formulation for distance sampling
- 2.1 Introduction
- 2.2 CDS revisited
- 2.2.1 Conventional line transect estimator
- 2.2.2 Conventional point transect estimator
- 2.3 Horvitz-Thompson: a versatile estimator
- 2.3.1 Animals that occur as individuals
- 2.3.2 Animals that occur in clusters
- 2.3.3 CDS estimators
- 2.4 Maximum likelihood estimation
- 2.4.1 'Covered' animals
- 2.4.2 Random detection with known probability
- 2.4.3 CDS likelihoods
- 2.5 Summary so far and preview of advances
- 2.5.1 Summary
- 2.5.2 Preview of advances
- 2.6 Advanced methods for detection function estimation
- 2.6.1 Multiple covariate distance sampling
- 2.6.2 Mark-recapture distance sampling
- 2.6.3 Estimation when p(y) is unknown
- 2.7 Estimating animal density surfaces
- 2.7.1 The count method
- 2.7.2 The waiting distance method
- 2.7.3 Cluster size surface estimation
- 2.8 Survey design
- 2.8.1 Likelihood-based inference
- 2.8.2 Design-based inference
- 2.8.3 Adaptive distance sampling
- 2.9 Model selection
- 2.10 Summary
- 3 Covariate models for the detection function
- 3.1 Introduction
- 3.2 A conditional likelihood framework for distance sampling
- 3.3 Line transect sampling
- 3.3.1 The conditional likelihood
- 3.3.2 Incorporating covariates into semiparametric models for the detection function
- 3.3.3 Abundance estimation
- 3.4 Point transect sampling
- 3.5 Example
- 3.6 Discussion
- 4 Spatial distance sampling models
- 4.1 Introduction
- 4.2 Spatial line transect models
- 4.2.1 Deriving a likelihood
- 4.2.2 A likelihood based on inter-detection distances
- 4.2.3 Clustered populations
- 4.3 Practical implementations of spatial line transect models
- 4.3.1 A waiting distance model
- 4.3.2 A count model
- 4.4 Spatial distribution of Antarctic minke whales
- 4.5 Spatial point transect models
- 4.5.1 Deriving a likelihood
- 4.5.2 A point transect count model
- 4.6 Discussion
- 5 Temporal inferences from distance sampling surveys
- 5.1 Introduction
- 5.2 Concepts
- 5.2.1 Sampling and population variation
- 5.2.2 Sampling covariance
- 5.2.3 Empirical and process models
- 5.2.4 Trend
- 5.2.5 Abundance as a fixed or random quantity
- 5.3 Trend estimation from global abundance estimates
- 5.3.1 Graphical exploration
- 5.3.2 Linear trend models
- 5.3.3 Smoothing
- 5.3.4 Trend estimation when samples covary
- 5.4 Spatio-temporal analysis
- 5.4.1 Transect-level models of trend
- 5.4.2 Spatio-temporal modelling
- 5.5 Process models
- 5.5.1 State-space models
- 5.5.2 Generalizing state-space models
- 5.6 Other analysis methods
- 5.6.1 Time series methods
- 5.6.2 Quality control methods
- 5.7 Survey design
- 5.7.1 Repeating transects
- 5.7.2 Sample size
- 5.7.3 Planning long-term studies
- 6 Methods for incomplete detection at distance zero
- 6.1 Introduction
- 6.2 Likelihood and Horvitz-Thompson
- 6.2.1 Constant detection probability
- 6.2.2 Detection probability changing with distance
- 6.2.3 Independence issues
- 6.2.4 Multiple covariates
- 6.2.5 Unobserved heterogeneity
- 6.3 State and observation models
- 6.3.1 State models
- 6.3.2 Observation models
- 6.3.3 Observation configurations
- 6.4 Example data
- 6.5 Estimation for independent configuration
- 6.5.1 Distance only
- 6.5.2 Distance and covariates
- 6.6 Estimation for trial configuration
- 6.6.1 Distance and covariates
- 6.6.2 Distance, covariates, and responsive movement
- 6.7 Estimation for removal configuration
- 6.8 Dealing with availability bias
- 6.8.1 Static availability
- 6.8.2 Hazard-rate models for dynamic availability
- 6.8.3 Discrete availability: animal-based
- 6.8.4 Discrete availability: cue-based
- 6.8.5 Intermittent availability
- 6.8.6 Design-based availability estimation
- 6.9 Special topics
- 6.9.1 Uncertain duplicate identification
- 6.9.2 When should double-observer methods be used?
- 6.10 Field methods
- 6.10.1 Marked animals
- 6.10.2 Observation configuration
- 6.10.3 Data collection and recording
- 7 Design of distance sampling surveys and Geographic Information Systems
- 7.1 The potential role of GIS in survey design
- 7.2 Automated survey design
- 7.2.1 Point transect design
- 7.2.2 Line transect design using lines of fixed length
- 7.2.3 Line transect design using lines that span the full width of the survey region
- 7.2.4 Zigzag samplers
- 7.3 Estimation for uneven coverage probability designs
- 7.3.1 Objects that occur singly
- 7.3.2 Objects that occur in clusters
- 7.3.3 Variance estimation
- 7.4 Choosing between survey designs by simulation
- 8 Adaptive distance sampling surveys
- 8.1 Introduction
- 8.2 Design-unbiased adaptive point transect surveys
- 8.2.1 Survey design
- 8.2.2 Estimation
- 8.2.3 Simulated example
- 8.2.4 Discussion
- 8.3 Design-unbiased adaptive line transect surveys
- 8.3.1 Survey design
- 8.3.2 Estimation
- 8.3.3 Discussion
- 8.4 Fixed-effort adaptive line transect surveys
- 8.4.1 Survey design
- 8.4.2 Estimation
- 8.4.3 Simulation
- 8.4.4 Discussion
- 9 Passive approaches to detection in distance sampling
- 9.1 Introduction
- 9.2 Trapping webs
- 9.2.1 Density estimation
- 9.2.2 Including data from recaptures
- 9.2.3 Design of trapping webs
- 9.2.4 An example
- 9.2.5 A critique of the trapping web
- 9.3 Trapping line transects
- 9.3.1 Density estimation
- 9.3.2 Including data from recaptures
- 9.3.3 Design of trapping line transects
- 9.3.4 An example
- 9.3.5 A critique of the trapping line transect
- 9.4 Discussion and summary
- 10 Assessment of distance sampling estimators
- 10.1 Introduction
- 10.1.1 Notation
- 10.2 Estimation framework
- 10.3 Model and design
- 10.3.1 Model-based inference
- 10.3.2 Design-based inference
- 10.3.3 Distance sampling: a composite approach
- 10.4 Simulation framework
- 10.4.1 Testing the design
- 10.4.2 Testing the model
- 10.4.3 Testing the full line transect estimation procedure
- 10.5 Example: testing the design
- 10.5.1 Testing equal coverage designs for var( N)
- 10.5.2 A design without equal coverage probability
- 10.6 Example: non-uniformity within the strip
- 10.6.1 Estimation of N[sub(c)]
- 10.6.2 Asymptotic result when ? is estimated
- 10.7 Example: full estimation procedure
- 10.8 Trial by simulation: a completely model-based approach
- 10.9 Summary
- 11 Further topics in distance sampling
- 11.1 Distance sampling in three dimensions
- 11.1.1 Three-dimensional line transect sampling
- 11.1.2 Three-dimensional point transect sampling
- 11.2 Conventional distance sampling: full likelihood examples
- 11.2.1 Line transects: simple examples
- 11.2.2 Point transects: simple examples
- 11.2.3 Some numerical confidence interval comparisons
- 11.3 Line transect surveys with random line length
- 11.3.1 Introduction
- 11.3.2 Line transect sampling with fixed n and random L, under Poisson object distribution
- 11.3.3 Technical comments
- 11.3.4 Discussion
- 11.4 Models for the search process
- 11.4.1 Continuous hazard-rate models
- 11.4.2 Discrete hazard-rate models
- 11.4.3 Further modelling of the detection process
- 11.5 Combining mark-recapture and distance sampling surveys
- 11.6 Combining removal methods and distance sampling
- 11.6.1 Introduction
- 11.6.2 Combining removal methods with distance sampling
- 11.7 Point transect sampling of cues
- 11.7.1 Introduction
- 11.7.2 Estimation
- 11.8 Migration counts
- 11.8.1 Background
- 11.8.2 Modelling migration rate
- 11.8.3 Modelling detection probabilities
- 11.8.4 An example: gray whales
- 11.9 Estimation with distance measurement errors
- 11.9.1 Conventional distance sampling: g(0) = 1
- 11.9.2 Independent multiplicative measurement errors
- 11.9.3 Mark-recapture distance sampling: p(0) & 1
- 11.9.4 Maximum likelihood vs pdf correction approach
- 11.10 Relating object abundance to population abundance for indirect sampling
- 11.10.1 Introduction
- 11.10.2 Discrete-time modelling
- 11.10.3 Continuous-time modelling
- 11.10.4 Conclusions
- 11.11 Goodness of fit tests and q-q plots
- 11.11.1 Quantile-quantile plots
- 11.11.2 Kolmogorov-Smirnov test
- 11.11.3 Cramér-von Mises test
- 11.11.4 The Cramér-von Mises family of tests
- 11.12 Pooling robustness
- References
- Index
- A
- B
- C
- D
- E
- F
- G
- H
- I
- K
- L
- M
- N
- P
- Q
- R
- S
- T
- V
- Z
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