The objective of this project was to determine the area-to-depth relationship in Lake Behnke, which acts as the principal stormwater drainage basin for the University of South Florida campus in Tampa, Florida. Data previously collected in a stormwater management study by Jeffery Earhart illustrated a linear correlation between the lake's area and depth; however, that study was conducted in 1998, and this present work serves to double check that correlation. We analyzed a bathymetric map of Lake Behnke that displayed several contour lines indicating depth and approximated the area inside each closed curve with a contour integral. The resulting relationship between area and elevation was determined to be more parabolic than linear.
"The Elevation to Area Relationship of Lake Behnke,"
Undergraduate Journal of Mathematical Modeling: One + Two:
2, Article 5.
DOI: http://dx.doi.org/10.5038/2326-3622.214.171.124 Available at: https://scholarcommons.usf.edu/ujmm/vol4/iss2/5
Arcadii Grinshpan, Mathematics and Statistics
Laurie Walker, Director of USF Botanical Gardens
Problem Suggested By:
Van Deryl Wagner, Facilities Planning and Construction, USF