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Fraser River Sockeye Fisheries and Fisheries Management - Cohen ...

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Table 21 Summary of MAPE <strong>and</strong> Regression Analyses, testing the relationship between pre-season forecasts <strong>and</strong> actualreturns for the four run-timing groups <strong>and</strong> the entire <strong>Fraser</strong> <strong>River</strong> forecast. How to interpret statistical outcomes isdescribed in the text above. Proportional size of CU relative to total <strong>Fraser</strong> return is the average annual value for theperiod 1980-2009. Similar analyses for the 19 indicator stocks are reported in Appendix H.Stock MAPE<strong>Fraser</strong><strong>River</strong>25% 44%Return Explainedby Forecast (R 2 )RegressionSlope0.84(significant)RegressionIntercept(# fish)notsignificantRun sizerelative tototal <strong>Fraser</strong>100%Interpretation Reliability: Relationship between forecast <strong>and</strong> return is statisticallysignificant, thus forecast is reliable. Expect forecast to overestimate orunderestimate return by 25% in any given year. Precision: Moderate amount of inter-annual variation explained byforecasts (R 2 = 0.44). Accuracy: Slope is close to one <strong>and</strong> intercept is not significantlydifferent from zero, thus long-term accuracy is good.EarlyStuart53% 76%0.99(significant)notsignificant3.3% Reliability: Relationship between forecast <strong>and</strong> return is statisticallysignificant, thus forecast is reliable. Expect forecast to overestimate orunderestimate return by 53% in any given year. Precision: Moderate/Large amount of inter-annual variationexplained by forecasts (R 2 = 0.76). Accuracy: Slope is close to one <strong>and</strong> intercept is not significantlydifferent from zero, thus long-term accuracy is good.EarlySummer31% 23%0.60(significant)notsignificant 9.2% Reliability: Relationship between forecast <strong>and</strong> return is statisticallysignificant, thus forecast is reliable. Expect forecast to overestimate orunderestimate return by 31% in any given year. Precision: Moderate/Small amount of inter-annual variationexplained by forecasts (R 2 = 0.23). Accuracy: Slope is close to one <strong>and</strong> intercept is not significantlydifferent from zero, thus long-term accuracy is good.78

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