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Report of a cetacean survey in the Western Approaches of the ...

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Estimat<strong>in</strong>g a correction for both g(0) and responsive movementThe sight<strong>in</strong>gs made by <strong>the</strong> secondary platform <strong>in</strong>cluded 5 sight<strong>in</strong>gs made with a radial distance < 600m.Based <strong>of</strong> our earlier f<strong>in</strong>d<strong>in</strong>gs, <strong>the</strong>se sight<strong>in</strong>gs were likely to have been from animals which wereattracted to <strong>the</strong> vessel. To obta<strong>in</strong> a good ESW for <strong>the</strong> secondary platform, we excluded <strong>the</strong>se 5sight<strong>in</strong>gs. However, 3 <strong>of</strong> <strong>the</strong>se, sight<strong>in</strong>gs were duplicates which were <strong>in</strong>cluded to give a usable samplesize when establish<strong>in</strong>g an ESW for duplicates.Us<strong>in</strong>g Distance 4, we fitted a half-normal model with cos<strong>in</strong>e adjustments to double platform (DP)effort data: secondary platform data to estimate f s (0); primary data to estimate f(0); and to duplicates toestimate f ps (0) (see Fig. 18). The truncation perpendicular distance for all data sets was 600m.The error for <strong>the</strong> correction factor c was estimated by carry<strong>in</strong>g out a bootstrapp<strong>in</strong>g procedure on <strong>the</strong>sight<strong>in</strong>gs data from both platforms, partitioned by transect, and apply<strong>in</strong>g <strong>the</strong> variance estimationprocedure to each <strong>of</strong> 199 bootstrap data sets. The standard error <strong>of</strong> <strong>the</strong> bootstrap density estimate wasused as <strong>the</strong> standard error <strong>of</strong> c (s.e.(c); see Table 13).The CVs <strong>of</strong> corrected density and abundance estimates and <strong>the</strong> Satterthwaite degrees <strong>of</strong> freedom (df)for <strong>the</strong> corrected density and abundance estimate confidence <strong>in</strong>tervals were calculated (see Table 13)Parameter (DP effort 2005)EstimateLength <strong>of</strong> transect, L (km) 514Truncation distance, w (km) 0.600Number <strong>of</strong> all secondary detections, n sall 19 (after truncation 17)Number <strong>of</strong> secondary detections > 0.600km, n s 14 (after truncation 12)Number <strong>of</strong> primary detections, n p 88Number <strong>of</strong> primary detections after truncation at 600m 86Number <strong>of</strong> duplicate detections, n ps 10ESW <strong>of</strong> secondary platform (sight<strong>in</strong>gs > 0.600 km), 1/f s (0) 1/3.16 = 0.316ESW for duplicates (km), 1/f ps (0) 1/3.53 = 0.283Apparent ESW for primary platform (km), 1/f(0) 1/5.15 = 0.194Apparent density estimate, D p (groups/km 2 ) Via equation (1)=0.431Corrected density estimate, D c (groups/km 2 ) Via equation (2)=0.291Primary detection probability ‘near’ trackl<strong>in</strong>e, g p (0) 0.931Correction factor, c 0.675Standard error <strong>of</strong> c, s.e. (c) 0.113Provisional density (<strong>in</strong>d/km 2 ) for 2004 <strong>survey</strong>0.688 (see Table 12)(Stratum E after stratification), D E 04 stratProvisional density (<strong>in</strong>d/km 2 ) for 2005 <strong>survey</strong>1.943 (see Table 12)(Stratum E after stratification), D E 05 stratProvisional density (<strong>in</strong>d/km 2 ) for 2004+2005 <strong>survey</strong> 1.097 (see Table 12)(Stratum E by stratification), D E 0405Corrected density (<strong>in</strong>d/km 2 ) for 2004 <strong>survey</strong>0.464 (CV 51%; 95% CI [0.17-1.26])(Stratum E after stratification), cD E 04 stratCorrected density (<strong>in</strong>d/km 2 ) for 2005 <strong>survey</strong>1.312 (CV=0.41; 95% CI [0.59-2.89])(Stratum E after stratification), cD E 05 stratCorrected density (<strong>in</strong>d/km 2 ) for 2004+2005 <strong>survey</strong> 0.74 (CV=0.39; 95% CI [0.34-1.59])(Stratum E by stratification), cD E 0405Table 13. Components from which a correction for movement and for animals missed on <strong>the</strong> trackl<strong>in</strong>ewas calculated for common dolph<strong>in</strong> sight<strong>in</strong>gs data from 2005. The corrected density estimates forStratum E based on 2005 primary data and on 2004+2005 primary data by stratification has beencalculated us<strong>in</strong>g <strong>the</strong> correction factor.30

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