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Edge effects in Survey Design Point transects – issues and solutions Line transect – issues and solutions

L4-2 Edge Effects - Distance Sampling Workshops · Microsoft PowerPoint - L4-2 Edge Effects.pptx Author: CREEM, Univ of St Andrews Created Date: 4/18/2018 1:09:16 PM

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Page 1: L4-2 Edge Effects - Distance Sampling Workshops · Microsoft PowerPoint - L4-2 Edge Effects.pptx Author: CREEM, Univ of St Andrews Created Date: 4/18/2018 1:09:16 PM

Edge effects inSurvey Design

• Point transects – issues and solutions

• Line transect – issues and solutions

Page 2: L4-2 Edge Effects - Distance Sampling Workshops · Microsoft PowerPoint - L4-2 Edge Effects.pptx Author: CREEM, Univ of St Andrews Created Date: 4/18/2018 1:09:16 PM

Point transects

Page 3: L4-2 Edge Effects - Distance Sampling Workshops · Microsoft PowerPoint - L4-2 Edge Effects.pptx Author: CREEM, Univ of St Andrews Created Date: 4/18/2018 1:09:16 PM

Edge EffectsA problem if study area is small or narrowrelative to w

Issues

Coverage probability close to the edge

Animals detected outside the regionboundary

2w

Page 4: L4-2 Edge Effects - Distance Sampling Workshops · Microsoft PowerPoint - L4-2 Edge Effects.pptx Author: CREEM, Univ of St Andrews Created Date: 4/18/2018 1:09:16 PM

Coverageprobability– probability for a given design that a point within the survey region will besampled

To calculate the probability, repeatedly sample from the grid using a specific design (eg: 10 randompoints) and see how frequently a given point is included.

Page 5: L4-2 Edge Effects - Distance Sampling Workshops · Microsoft PowerPoint - L4-2 Edge Effects.pptx Author: CREEM, Univ of St Andrews Created Date: 4/18/2018 1:09:16 PM

Minus SamplingCoverage probability is lower within w of theedge

AssumptionAnimal density within w of the survey regionboundary is the same as for > w

For data collection and analysis options, see6.7 of “Introduction to Distance Sampling”

Page 6: L4-2 Edge Effects - Distance Sampling Workshops · Microsoft PowerPoint - L4-2 Edge Effects.pptx Author: CREEM, Univ of St Andrews Created Date: 4/18/2018 1:09:16 PM

Minus SamplingObserved Distribution Availability Detection Function

distance distance distance

Page 7: L4-2 Edge Effects - Distance Sampling Workshops · Microsoft PowerPoint - L4-2 Edge Effects.pptx Author: CREEM, Univ of St Andrews Created Date: 4/18/2018 1:09:16 PM

Minus SamplingObserved Distribution Availability Detection Function

distance distance distance

Page 8: L4-2 Edge Effects - Distance Sampling Workshops · Microsoft PowerPoint - L4-2 Edge Effects.pptx Author: CREEM, Univ of St Andrews Created Date: 4/18/2018 1:09:16 PM

Minus SamplingObserved Distribution Availability Detection Function

distance distance distance

Page 9: L4-2 Edge Effects - Distance Sampling Workshops · Microsoft PowerPoint - L4-2 Edge Effects.pptx Author: CREEM, Univ of St Andrews Created Date: 4/18/2018 1:09:16 PM

Minus SamplingObserved Distribution Availability Detection Function

distance distance distance

Page 10: L4-2 Edge Effects - Distance Sampling Workshops · Microsoft PowerPoint - L4-2 Edge Effects.pptx Author: CREEM, Univ of St Andrews Created Date: 4/18/2018 1:09:16 PM

Minus SamplingSurvey up to distance w outside regionboundary

AssumptionAnimal density is similar either side of thesurvey region boundary

Page 11: L4-2 Edge Effects - Distance Sampling Workshops · Microsoft PowerPoint - L4-2 Edge Effects.pptx Author: CREEM, Univ of St Andrews Created Date: 4/18/2018 1:09:16 PM

Plus Sampling

2w

w

• Sample all points within a buffer waround the survey region

• Record only animals within the surveyregion

• Analysis:

– 0’s and 1’s

– Proportions (GIS)

Page 12: L4-2 Edge Effects - Distance Sampling Workshops · Microsoft PowerPoint - L4-2 Edge Effects.pptx Author: CREEM, Univ of St Andrews Created Date: 4/18/2018 1:09:16 PM

Plus Sampling

2w

w

1 1

1 10

0 0

0

0

• Sample all points within a buffer waround the survey region

• Record only animals within the surveyregion

• Analysis:

– 0’s and 1’s

– Proportions (GIS)

Page 13: L4-2 Edge Effects - Distance Sampling Workshops · Microsoft PowerPoint - L4-2 Edge Effects.pptx Author: CREEM, Univ of St Andrews Created Date: 4/18/2018 1:09:16 PM

Plus Sampling

2w

w

0.9 0.75

0.75 0.60.40

0.10 0.20

0.25

0.35

• Sample all points within a buffer waround the survey region

• Record only animals within the surveyregion

• Analysis:

– 0’s and 1’s

– Proportions (GIS)

Page 14: L4-2 Edge Effects - Distance Sampling Workshops · Microsoft PowerPoint - L4-2 Edge Effects.pptx Author: CREEM, Univ of St Andrews Created Date: 4/18/2018 1:09:16 PM

Line transects

x

xx

xx

x

x

x

xx

x

x

x

xx

x

x

x x

x

x

xx x x

x xx

x

x

x

Page 15: L4-2 Edge Effects - Distance Sampling Workshops · Microsoft PowerPoint - L4-2 Edge Effects.pptx Author: CREEM, Univ of St Andrews Created Date: 4/18/2018 1:09:16 PM

Surveyed area decreases with distancefrom transect

Conventional analysis can give valid densityestimate.

Coverage probability lower at edge

See Section 6.7 of Introduction to Distance Sampling,2001

Page 16: L4-2 Edge Effects - Distance Sampling Workshops · Microsoft PowerPoint - L4-2 Edge Effects.pptx Author: CREEM, Univ of St Andrews Created Date: 4/18/2018 1:09:16 PM

Extrapolate lines beyond boundaryrecording only animals within surveyregion

Page 17: L4-2 Edge Effects - Distance Sampling Workshops · Microsoft PowerPoint - L4-2 Edge Effects.pptx Author: CREEM, Univ of St Andrews Created Date: 4/18/2018 1:09:16 PM

Use of a buffer zone to eliminate edge effects

Survey region

Boundary

x

xx

x

x

x

o

o

o

l

Extend the line beyond the boundary, but don’t include the associated effort, and don’t record animalsdetected outside the region (O)

Page 18: L4-2 Edge Effects - Distance Sampling Workshops · Microsoft PowerPoint - L4-2 Edge Effects.pptx Author: CREEM, Univ of St Andrews Created Date: 4/18/2018 1:09:16 PM

Circuit designs – edge effects

w

If we remove the circuits that overlap the boundary (dashed) we undersample the edge.

Page 19: L4-2 Edge Effects - Distance Sampling Workshops · Microsoft PowerPoint - L4-2 Edge Effects.pptx Author: CREEM, Univ of St Andrews Created Date: 4/18/2018 1:09:16 PM

• We can include partial circuits at the edge

• Fine if travelling for a small amount of survey is acceptable

Page 20: L4-2 Edge Effects - Distance Sampling Workshops · Microsoft PowerPoint - L4-2 Edge Effects.pptx Author: CREEM, Univ of St Andrews Created Date: 4/18/2018 1:09:16 PM

Or delete circuits mostly outside, and reflect and displace remaining edge circuits

Page 21: L4-2 Edge Effects - Distance Sampling Workshops · Microsoft PowerPoint - L4-2 Edge Effects.pptx Author: CREEM, Univ of St Andrews Created Date: 4/18/2018 1:09:16 PM

Similar issues (and solutions) to circuit designs

d

d

Segment designs – edge effects