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

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Estimation <strong>of</strong> <strong>the</strong> critical distancePalka and Hammond (2001) developed a method that uses animal orientation data collected onshipboard l<strong>in</strong>e transect <strong>survey</strong>s to determ<strong>in</strong>e whe<strong>the</strong>r, and at what critical distance, <strong>cetacean</strong>s arerespond<strong>in</strong>g to <strong>the</strong> <strong>survey</strong> ship. We assume that <strong>the</strong> observed orientation <strong>of</strong> an animal at <strong>the</strong> surface isrepresentative <strong>of</strong> <strong>the</strong> direction <strong>of</strong> travel and that <strong>the</strong> animal’s swim speed is typically much less thanship speed.Swim directions were def<strong>in</strong>ed as relative to <strong>the</strong> transect l<strong>in</strong>e and measured clockwise from 0° to 360°,where 0° describes an animal swimm<strong>in</strong>g parallel to and <strong>in</strong> <strong>the</strong> same direction <strong>of</strong> <strong>the</strong> ship, and 90°describes an animal swimm<strong>in</strong>g perpendicular to <strong>the</strong> transect l<strong>in</strong>e and to <strong>the</strong> right. Observers werescann<strong>in</strong>g from <strong>the</strong> trackl<strong>in</strong>e to 90° on ei<strong>the</strong>r side <strong>of</strong> <strong>the</strong> trackl<strong>in</strong>e. Swim directions were pooled <strong>in</strong>toquadrants where quadrant 1 represents swim directions 0-90°; quadrant 2 swim directions <strong>of</strong> 90°-180°;quadrant 3 swim directions <strong>of</strong> 180°-270°; and quadrant 4 swim directions <strong>of</strong> 270°-360°. The product <strong>of</strong>values <strong>in</strong> all quadrants is assumed to equal 1, and factors are assumed to be <strong>in</strong>dependent. In l<strong>in</strong>etransect sampl<strong>in</strong>g, factors affect<strong>in</strong>g detection <strong>of</strong> animals are assumed to be <strong>the</strong> same on ei<strong>the</strong>r side <strong>of</strong><strong>the</strong> platform; thus, we ‘folded’ over starboard sight<strong>in</strong>gs onto <strong>the</strong> port side and used achieved data toestimate <strong>the</strong> ‘critical distance’ at which <strong>the</strong> effect <strong>of</strong> responsive movement beg<strong>in</strong>.The expectation is that animals do not react to ships when sighted at sufficiently far distances (greaterthan a critical distance r c ), and so <strong>the</strong> ratio n 3 /n 1 (when r> r c , where n i are <strong>the</strong> number <strong>of</strong> sight<strong>in</strong>gsdetected with a swim direction <strong>in</strong> quadrant i) would not be significantly different from 1. At closerdistances, if responsive movement occurs, <strong>the</strong>n <strong>the</strong> ratio n 3 /n 1 (when r< r c ) would be ei<strong>the</strong>rsignificantly greater than 1 (for avoidance) or significantly less than 1 (for attraction). If no responsivemovement occurs, <strong>the</strong>n <strong>the</strong> ration n 3 /n 1 would be 1 at all radial distances.The f<strong>in</strong>d<strong>in</strong>gs are illustrated <strong>in</strong> Figure 19, where <strong>the</strong> ratio <strong>of</strong> n 3 /n 1 are shown for different radial distancecategories for <strong>the</strong> primary platform (n=118). It is evident that <strong>the</strong> ratio n 3 /n 1 becomes close to 1 atradial distances > 1100m. Sample size for <strong>the</strong> secondary platform did allow conduct<strong>in</strong>g similar analysis.The method requires swimm<strong>in</strong>g directions <strong>of</strong> animals to be measured without error at all distances.However, observers found it difficult to judge <strong>the</strong> direction <strong>of</strong> travel, especially at greater distancesfrom <strong>the</strong> secondary platform. A video camera mounted on top <strong>of</strong> <strong>the</strong> b<strong>in</strong>oculars may <strong>in</strong>crease <strong>the</strong>accuracy <strong>of</strong> <strong>the</strong> measurement or at least evaluate observer judgement. More observer tra<strong>in</strong><strong>in</strong>g andpractice should also improve <strong>the</strong> measurement. Alternatively, it may be easier for observers to estimate<strong>the</strong> direction <strong>of</strong> travel <strong>in</strong> relation to eye <strong>of</strong> sight <strong>in</strong> stead <strong>of</strong> relatively to <strong>the</strong> ship’s track.The ratio n3/n1 for primary dataRatio n3/n110.90.80.70.60.50.40.30.20.10

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