Quiz Solutions for Mathematics 172: Leslie Matrix and Fish Population Dynamics - Prof. Re , Quizzes of Mathematics

Download Quiz Solutions for Mathematics 172: Leslie Matrix and Fish Population Dynamics - Prof. Re and more Quizzes Mathematics in PDF only on Docsity! Mathematics 172 Quiz #14 Name: Key You must show your work to get full credit. N1 N2 N3 10 2 .1 .9 Figure 1 A species of fish has survival and per capita given by the diagram above (with N1 the number of one year olds, N2 the number of two year olds and N3 the number of three year olds). A pond is stocked with 100 one year olds. (1) What is the Leslie matrix? L =   0 2 10 .1 0 0 0 .9 0   (2) How many one, two and three year olds are there after 20 years? From the calculator: N1,20 = 81.79 N2,20 = 5.09 N3,20 = 6.44 (3) What is the stable age distribution (use t = 50 years to compute this). From the calculator: N1,50 = 193.9 N2,50 = 18.8 N3,50 = 16.0 Total = 193.9+18.8+16.0 = 228.7 These can be used to compute the percents: % one year olds = 193.9× 100% 228.7 = 84.8%, % twp year olds = 18.8× 100% 228.7 = 8.2%, % three year olds = 16.0× 100% 228.7 = 7.0%