Question

After two incredibly difficult years of study in the Amazonian rainforest, you have collected enough data on the rare purple-ringed, three-toed tree frog to estimate some simple population parameters. In your first year in the rainforest you estimated the population size as 450 individuals. In the second year, you only estimated a population of 415. Answer the questions below and show your work. (6 points) A) Calculate the geometric rate of increase (lambda) B) Predict the population size 10 years from now. What is the equivalent exponential growth rate (r) for the lambda calculated in part A.

Answer 1

A. Geometric growth rate(lambda)= ratio of population in year t+1 to population size in year t.

lambda=N_t+1 /N_t =415/450 =0.922222 .

B. Now, No=415 x fog, The population of 10 year later will be- Ng = Perd where Ne Fenture population P= Present population e natural logna e-matural logarithmic base of *nale of im crease (a) 0.9222 - the time - 415% - 1.035175 = -429.6 = 415 x log "9222 Je Тоо = 415x log ***9222 100 c. r: X 100 Blue Calculating equivalent eapomemtial growth reale (7) for lavello. I - Nghi - Ne whore Nysimilial population Net1 = population after year - top - &- 7.7778 Ne 415- 450 - X100 450