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Hidden Markov modelling of occupancy data
O. Gimenez, L. Blanc, A. Besnard, R. Pradel,
P. Doherty, E. Marboutin, R. Choquet
Montpellier, July 4th, 2014
Occupancy models
Occupancy models
My conversion to occupancy models
? I’m more of a capture-recapture (CR) guy
? Can we use what we know from CR for occupancy?
? Individuals in CR = Sites in occupancy
? Two sides of same coin: hidden Markov models (HMM)
? Suggested by M. Kéry, I. Fiske, W. Challenger, …
? Flexible framework, well developed in other areas
Dynamic occupancy models as HMMs
O U
O = occupied; U = unoccupied
extinction
e
Dynamic occupancy models as HMMs
1
O U
O = occupied; U = unoccupied
1 = species detected; 0 = species undetected
0 1
extinction
e
1-pp p
Dynamic occupancy models as HMMs
1
O U
O = occupied; U = unoccupied
1 = species detected; 0 = species undetected
0 1 0 0 0
1-pp
extinction
0
e
p 0 0
Dynamic occupancy models as HMMs
0
U O
O = occupied; U = unoccupied
1 = species detected; 0 = species undetected
0 0 1 1 1
colonization
g
0 0 0 p p p
Dynamic occupancy models as HMMs
Initial states
State
process
Observation
process
Single-season occupancy models as HMMs
? No colonization (g=0) and no extinction (e=0) – closure assumption
Single-season occupancy models as HMMs
Initial states
State
process
Observation
process
? No colonization (g=0) and no extinction (e=0) – closure assumption
Advantages of the HMM formulation
1. (Almost?) all occupancy models in a unified framework
? Single-season, dynamic models
? Mixtures and random effects (see case study)
? Multistate models, with uncertainty
? Multispecies models
? False-positives (Chambert & Miller, submitted)
? …
2. Formal link between occupancy and CR communities
E-SURGE and occupancy models
? E-SURGE, software developed to analyze CR data with HMMs
Rémi Choquet Roger Pradel
The E-SURGE of occupancy models
? Model specification via user-friendly syntax
? Numerical tools (random effects, identifiability)
E-SURGE and occupancy models
occupancyinesurge.wikidot.com
Case study with
Eurasian lynx in
France
? Signs of presence
between 2002 and 2006
? 197 sites, 5 1-y periods
? Single-season
occupancy & detection
heterogeneity
Van Gogh
Detection heterogeneity
Random effect Finite mixture
Royle (2006), Gimenez & Choquet (2010) Pledger et al. (2003), Pradel (2005)
Results
Random effect Finite mixture
Average detection probability 0.5 in both models
Perspectives – based on CR experiences
1. Distribution mapping: unobserved states via Viterbi
2. Accounting for lack of independence:
? Trap-dependence
? Spatial autocorrelation (memory model)
厂别濒蹿-辫谤辞尘辞迟颈辞苍…
Bonus slides
Finite mixture model
Model selection in Lynx case study
Multistate occupancy model - 1
Multistate occupancy model - 2
Multistate occupancy model - 3

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My talk at ISEC 2014 (http://isec2014.sciencesconf.org/) on how to model occupancy data using hidden Markov models