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Potential Effects of Contaminants on Fraser River Sockeye Salmon

Potential Effects of Contaminants on Fraser River Sockeye Salmon

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i) The number <str<strong>on</strong>g>of</str<strong>on</strong>g> times by which an individual c<strong>on</strong>centrati<strong>on</strong> is greater than (or lessthan, when the objective is a minimum) the objective is termed an “excursi<strong>on</strong>” andis expressed as follows. When the test value must not exceed the objective:Excursi<strong>on</strong> i= ⎛ ⎝ ⎜ Failed test value⎞Objective⎟⎠− 1jFor the cases in which the test value must not fall below the objective:Excursi<strong>on</strong> i= ⎛ ⎝ ⎜Objectivej ⎞⎟ − 1Failed test value⎠ii) The collective amount by which individual tests are out <str<strong>on</strong>g>of</str<strong>on</strong>g> compliance iscalculated by summing the excursi<strong>on</strong>s <str<strong>on</strong>g>of</str<strong>on</strong>g> individual tests from their objectives anddividing by the total number <str<strong>on</strong>g>of</str<strong>on</strong>g> tests (both those meeting objectives and those notmeeting objectives). This variable, referred to as the normalized sum <str<strong>on</strong>g>of</str<strong>on</strong>g>excursi<strong>on</strong>s, or nse, is calculated as:nse =n∑ excursi<strong>on</strong>ii=1Number<str<strong>on</strong>g>of</str<strong>on</strong>g> testsiii) F3 is then calculated by an asymptotic functi<strong>on</strong> that scales the normalized sum<str<strong>on</strong>g>of</str<strong>on</strong>g> the excursi<strong>on</strong>s from objectives (nse) to yield a range between 0 and 100.F 3= ⎛ 100⎝ ⎜ nse ⎞⎟ ×0.01 nse + 0.01⎠Once the factors have been obtained, the index itself can be calculated bysumming the three factors as if they were vectors. The sum <str<strong>on</strong>g>of</str<strong>on</strong>g> the squares <str<strong>on</strong>g>of</str<strong>on</strong>g> eachfactor is therefore equal to the square <str<strong>on</strong>g>of</str<strong>on</strong>g> the index. This approach treats the indexas a three-dimensi<strong>on</strong>al space defined by each factor al<strong>on</strong>g <strong>on</strong>e axis. With thismodel, the index changes in direct proporti<strong>on</strong> to changes in all three factors.A-36

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