Discipline: Mathematics and Statistics
Subcategory: Mathematics and Statistics
DeWein Pelle - University of the Virgin Islands
This project, is a continuation of a University of the Virgin Islands study conducted by Richard Nemeth, PhD and Jonathan Jossart, MS which sought to assess a probable location of habitation by the Myteroperca venenosa, yellowfin grouper, within the Grammanik Bank seasonal closure. The yellowfin grouper is a coral reef fish that is prevalent within the western Atlantic Ocean, the Caribbean Sea as well as the Gulf of Mexico. Additionally, the grouper species is believed to live in reef areas with significant depth; however, migration to shallower areas are seasonally common. The aforementioned study utilized passive acoustic telemetry to track and monitor several factors of copious specimens. This current project seeks to utilize existing data to extend the abovementioned study through the application of several probability distribution functions (PDF’s), operations used to define the probability of any quantifiable information and its possible outcome, to analyze plausible location for fish spawning. Uniform distribution shows a constant prospect from two foci, or otherwise two locations, in a set area of relatable distribution. Multivariate-normal distribution, a generality of the univariate normal to two or more variables, was also applied. Utilizing these methods with the dataset, we were able to identify probable fish location. Furthermore, the completion of this project assists in the zoning of the Myteroperca venenosa for proper cultivation whilst finding an amendable agreement to allow sustainability for the fishing industry in an avid attempt to avoid the yellowfin grouper’s extinction within the Virgin Islands territory.
Funder Acknowledgement(s): This project was funded by NSF HBCU-UP Grant #1137472 grant and while the deploying and maintaining of an acoustic array were funded by numerous agencies including Puerto Rico Sea Grant (#R-31-1-06), NOAA Saltonstall-Kennedy program (#NA09NMF4270068), the Virgin Islands Experimental Program to Stimulate Competitive Research (VI-EPSCoR #NSF-814417), and the Guy Harvey Research Institute.
Faculty Advisor: Robert Stolz,