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Stage Based Population Projection Matrices and the Power of Linear Algebra. Michael Bruce and Emily Shernock. Leslie Matrix Population Projection Technique. Developed in 1945 Each age class represents a stage F i represents reproductive output at age class i
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Stage Based Population Projection Matrices and the Power of Linear Algebra Michael Bruce and Emily Shernock
Leslie Matrix Population Projection Technique • Developed in 1945 • Each age class represents a stage • Fi represents reproductive output at age class i • Pi represents reproductive output at age class i
Population Projection = = = =
Lefkovitch Stage Based Population Matrix • The Leslie matrix is only a specific case of a general matrix • Lefkovitch matrix does not relate age and stage • Organisms do not always develop at the same rate • Some animals are not easily identified as to age
New Factors for Lefkovitch Technique • Fi represents reproductive output at age class i • Pi represents the probability of not perishing and not changing stages • Gi represents probability of surviving and moving on to next stage
Loggerheads in Danger • Listed as “threatened” species in 1978 • Conservation focused on protecting nests • Could this focus be bettered?
Growth Rate Calculation • m= er • m= 0.9450 and r = -5.65%
Conservation Efforts Misdirected • Data from Lefkovitch matrix shows where to focus conservation efforts • Egg and nest conservation not the best focus
Conclusion • TED’s required in most U.S. waters of Gulf of Mexico and South Atlantic • Florida Loggerhead population stable • Florida home to one third of world Loggerhead population