Tim lucas-id2ox
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These are the slides from my talk at id2ox. http://id2-ox.co.uk/ It presents a method for estimating animal abundance using camera traps or acoustic detectors. The method does not require individual identification of individuals (as capture-mark-recapture does), nor does it require knowledge of the distance between animal and sensor (as distance sampling does). Instead it builds a mechanistic model of whether animals can be detected by the sensor depending on the acoustic/visual properties of the species and sensor. The expected numbers of encounters, assuming completely random movement. This work is now published in Methods in Ecology and Evolution. http://onlinelibrary.wiley.com/doi/10.1111/2041-210X.12346/abstract
Tim lucas-id2ox
- 1. Estimating abundance from camera traps and acoustic sensors Tim C.D. Lucas & Elizabeth A. Moorcroft CoMPLEX, UCL @timcdlucas @statsforbios
- 8. Sensor p vt = velocity x time
- 9. Sensor p vt = velocity x time
- 11. Sensor p Area = pvt z = Dpvt
- 12. Sensor p vt = velocity x time
- 13. Sensor θ α r p = ?
- 14. Sensor Angle, θ CallAngle,α gas NW1REM NE1 NE2NE3 NW2 NW3 NW4 NW5 NW6 NW7 SE1 SE2SE3 SE4 SW1 SW2 SW3 SW4 SW5 SW6 SW7 SW8 SW9 0 π 2π 0π2π
- 15. αp = 2 r sin 2
- 18. Sensor Angle, θ CallAngle,α 0 π 2π 0π2π r π θ − cos α 2 + 1 r π θ sin α 2 − cos α 2 + 1 r π (θ + 2) 2r 2r sin α 2 r π θ − cos α 2 + cos α 2 + θ r π θ + 2 sin θ 2 r π θ sin α 2 − cos α 2 + cos α 2 + θ Expressions for ¯p
- 19. Sensor Angle, θ CallAngle,α 0 π 2π 0π2π r π θ − cos α 2 + 1 r π θ sin α 2 − cos α 2 + 1 r π (θ + 2) 2r 2r sin α 2 r π θ − cos α 2 + cos α 2 + θ r π θ + 2 sin θ 2 r π θ sin α 2 − cos α 2 + cos α 2 + θ D = z/(¯pvt)
- 20. Simulations
- 23. Sensor Angle, θ CallAngle,α π 2π 0π2π 0.5 1.0 1.5 2.0 2.5 3.0 3.5 SDofErrors
- 24. 20 40 60 80 100 −70070 NW1 20 40 60 80 100 −70070 SW1 20 40 60 80 100 −70070 SE3 20 40 60 80 100 −70070 NE1 Number of captures Percentageerror
- 25. −0.20.00.20.40.60.8 Correlated Walk Percentageerror 0 π 3 2π 3 π NW SW NE SE
- 26. 0 0.25 0.5 0.75 −404 NW1 0 0.25 0.5 0.75 −404 SW1 0 0.25 0.5 0.75 −404 SE3 0 0.25 0.5 0.75 −404 NE1 Proportion of time spent stationary PercentageError
- 27. Any Questions ? Tim C.D. Lucas & Elizabeth A. Moorcroft @timcdlucas @statsforbios Sensor Angle, θ CallAngle,α 0 π 2π 0π2π r π θ − cos α 2 + 1 r π θ sin α 2 − cos α 2 + 1 r π (θ + 2) 2r 2r sin α 2 r π θ − cos α 2 + cos α 2 + θ r π θ + 2 sin θ 2 r π θ sin α 2 − cos α 2 + cos α 2 + θ