Atherina boyeri Fish Growth Rate and Probability Density

by Nicole Kidd

Submitted : Spring 2016

The growth rate equation for Atherina boyeri was determined by referring to a study in which hundreds of these fish were measured in the Mar Menor coastal lagoon. The growth rate equation relates length and age in which the length of a fish is dependent on time, its original size, the maximum length of the species, and the growth rate constant. The growth rate constant (k) was determined to be 0.2079. The maximum length in centimeters (A) of the population was found to be 9.4 cms.

The measurements taken in the Mar Menor coastal lagoon were also used to determine the probability density of the length Atherina boyeri at certain ages. At one year old, the probability density spiked between the lengths of 5 cms and 5.6 cms. Any length at one year old less than 4 cms or greater than 7.2 cms had zero probability. At two years old, the probability spiked between 7 and 7.4 cms. Any length at two years old less than 6.2 cms or greater than 8 cms had zero probability. At three years old, the probability density spiked between 7.4 cms and 8 cms. Any length at three years old less than 7 cms or greater than 9.4 cms had zero probability.

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