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Estimating abundance from camera
traps and acoustic sensors
Tim C.D. Lucas & Elizabeth A. Moorcroft
CoMPLEX, UCL
@timcdlucas @statsforbios
Sensor
p
vt = velocity x time
Sensor
p
vt = velocity x time
Sensor
p
Area = pvt
Sensor
p
Area = pvt
z = Dpvt
Sensor
p
vt = velocity x time
Sensor
θ α
r
p = ?
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
αp = 2 r sin
2
¯p =
1
2π
2π
0
p dx
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
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)
Simulations
−1.0−0.50.00.5
Model Name
Percentageerror
SW7
SW8
SW4
SW5
SW9
SW6
NW7
NW6
NW5
REM
SW3
SW2
SW1
NW4
NW3
NW2
NW1
SE4
SE3
NE3
SE2
NE2
NE1
SE1
Gas
Sensor Angle, θ
CallAngle,α
π 2π
0π2π
0.5
1.0
1.5
2.0
2.5
3.0
3.5
SDofErrors
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
−0.20.00.20.40.60.8
Correlated Walk
Percentageerror
0 π 3 2π 3 π
NW
SW
NE
SE
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
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

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