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Each of the tests (indicated by a blue square) compared the statistic (r or d) calculated from our modified population with 4999 randomization statistics obtained from their pooled observations, blue dashes are our interpolations. A red + shows the result where there was no difference between log means, or the ratio of catches equal one. Horizontal red lines indicate the 2.5th and 97.5th percentiles. Vertical red lines were obtained by interpolation, and show the 95 percent confidence limits about our observed (unmodified) r or d.