Crouse et al. Performed a demographic analysis of an endangered sea turtle species, the loggerhead (Caretta caretta). Management of loggerhead populations seemed essential for their long term survival, and a popular management strategy had been and still is to protect nesting females, eggs, and hatchlings. The ground breaking work by Crouse and her colleagues compiled data to create a stage-based projection matrix to analyze quantitatively which stages are important and least important in influencing long-term growth rate. This led to US Federal laws requiring that US shrimp fishermen use nets that include Turtle Excluder Devices (TEDs). Crouse et al. Determined the transition matrix for their loggerhead populations: A = 0 0 0 0.6747 0.7370 0 b) c) d) e) f) 0 0 0 0 0 127 0 0 0.0147 0.6907 0 0 0.0518 0 0 0 0 0 0 0 0.0486 0.6610 0 0 0 0 0 4 0 0 0.8091 80 0 0 0 0 0 0 0 0.8091 0.8089 0 a) On a piece of paper, draw a life cycle graph of this population i) Take photo and paste into this document ** Use R-Studio for questions b-f: Use Lab6_Problem_PlantPPM.R as a template to write your own code to answer the following questions about the loggerhead population Read in animal_matrix.csv (first download from Blackboard) Start with N = (0 10 10 10 10 10 10) and graph dynamics for all stages for 10 years Determine 2. Explain what this tells us about the population. Determine SSD. Determine the elasticities. Which transition(s) are most influential in determining growth rate? What is the predicted long-term growth rate? In which stage(s) should you invest protection measures? Which stages are likely to enhance long-term growth rate, regardless of protective measures? 0 0 0.6747 0.737 0 0.0486 0 0 0 0 animal_matrix 0 0 0 0 0 0.661 0 0.0147 0 0 0 0 0 0.6907 0 0.0518 127 0 0 0 0 0 0.8091 0 4 0 0 0 0 0 80 0 0 0 0 0 0 0.8091 0.8089