Spatial Capture-recapture with Memory: A New Hidden Markov Model Perspective

Lead Research Organisation: University of Edinburgh
Department Name: Sch of Mathematics

Abstract

Spatial capture-recapture (SCR) surveys are widely used to answer questions in population ecology, for species ranging from slow worms to snow leopards. They are used to estimate the total size (or density) of the population within the given area, for example, or to estimate relationships between density and environmental drivers of density, or to estimate spatial and temporal trends in abundance. However, existing statistical methods for analysing SCR data ignore the fact that detections of animals that are made close together in time, are also likely to be close together in space. Existing SCR methods neglect this spatio-temporal correlation, and this can result in substantial negative bias in estimates of population abundance, sometimes by as much as 50%.

We will develop and test a new spatial capture-recapture method that explicitly takes into account the spatio-temporal dependence in detections, by modelling the probability that an individual is observed in any trap as a function of the distance in both space and time from its last detection. This will provide more robust estimates than can be obtained using current SCR methods. The new method and associated software will be developed in collaboration with the Global Snow Leopard Ecosystem Protection Programme (GSLEP), which is coordinating the world's first range-wide survey of snow leopards. The new methods will be applied to camera trap surveys of snow leopards that form a key part of the GSLEP survey initiative. The new SCR models we develop will, however, have much wider utility than this survey alone. They are applicable across a vast range of species ranging from, for example, large mammals (e.g. tigers, bears) and primates (e.g. gibbons, chimpanzees) to small reptiles and amphibians (e.g. salamanders, frogs, slow worms) and birds (e.g. songbirds, grouse).

Publications

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Description Within this project we have focused on the estimation of abundance (and density) of difficult to observe species using data collected via an array of motion-sensor camera traps, typically referred to as spatial capture-recapture data. We demonstrated via simulating data that current state-of-the-art models for analysing such data can lead to over-estimates of the population size. This is because they do not account for the fact that it is more likely that an animal is next detected at a trap close to its last detection than at a trap farther away. We developed a new statistical model that is able to incorporate this "spatial memory" in the way animals move, resulting in more accurate population estimates.
Exploitation Route We have developed a new innovative statistical approach for analysing spatial capture-recapture data. The initial results suggests that substantial gains may be made via the use of spatial time-to-event models. The approach has wide application within the ecological community for the analysis of such data, and opens up additional new and promising avenues for future research that we plan to investigate. The methods and associated software will be highly useful for ecologists and conservationists in their application to a wide range of wildlife populations using camera trap survey data.
Sectors Environment,Other