Errors in Estimating Mean Weight and other Statistics from Mean Length

Abstract
Computer simulations of length‐weight data indicated that the error incurred by estimating mean weight from mean length is a function of the exponent in the length‐weight relationship and the coefficient of variation in the length‐frequency distribution. Errors were less than 10% for exponents up to 4.0 if the coefficient of variation were less than 0.1, but error increased to near 90% of actual mean weight for large exponents and coefficients of variation. Similar errors arise for other exponential relationships, such as length‐fecundity, that commonly are developed in fisheries work.

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