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A random encounter model for
  estimating bat abundances

        Tim C.D. Lucas
         @timcdlucas

           CoMPLEX, GEE
      University College London


     22-03-2013 #BritBats
A digression to begin with...
How many bats are there?
A random encounter model
        Also known as a gas model
A random encounter model
        Also known as a gas model
Bats arent circles
             Theyre segments





     慮
                            粒
                            2




         粒
         1
Some assumptions




Discrete inside/outside of call segment
Probably more probabilistic than this
Some assumptions




Straight line movement
Number of detections is Poisson
Are detections Poisson?


               6
               5
Bats per KM2

               4
               3
               2
               1
               0




                     100%       50%        5%        2%
                   Percent of Ukraine P. kuhlii sample size

                      Estimate and theoretical CI
                      Bootstrap mean and CI
Simulations
With Liz Moorcroft
Compare model sensitivity:
  - Species parameters
  - Movement models
  - Population density
Required parameters


Species                Eptesicus serotinus
Call intensity         128dB
Half amplitude angle   36
Flight speed           13.2ms 1
Call frequency         26.94kHz


Bat detector
Sensitivity
Angle of operation
Required parameters


Species                Eptesicus serotinus
Call intensity         128dB
Half amplitude angle   36
Flight speed           13.2ms 1
Call frequency         26.94kHz


Bat detector
Sensitivity
Angle of operation
Required parameters


Species                Eptesicus serotinus
Call intensity         128dB
Half amplitude angle   36
Flight speed           13.2ms 1
Call frequency         26.94kHz


Bat detector
Sensitivity
Angle of operation
Thanks for listening
           @timcdlucas

                                            慮
                                                                粒2




                                                粒
                                                1




     capture
D=
       zq


               /2
     r                          慮a                                     
q=     2                  sin      sin 粒1   va 2 + vd 2  2va vd cos     d粒1
          (慮a )/2            2                                      2
                      慮a +慮d /2
                                                                       
                +                  sin 粒2   va 2 + vd 2  2va vd cos     d粒2
                     慮a                                                2

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