Forest fragmentation study. Refer to the Conservation Ecology (Dec. 2003) study on the causes of fragmentation in 54 South American forests, presented in Exercise 2.156 (p. 91). Recall that the cause is classified as either anthropogenic or natural in origin. The anthropogenic fragmentation index (saved in the FORFRAG file) for the South American forests has an approximate exponential distribution with a mean of 23.
a. Find the probability that a South American forest has an anthropogenic fragmentation index between 20 and 40.
b. Find the probability that a South American forest has an anthropogenic fragmentation index below 50.
c. The natural fragmentation index (also saved in the FORFRAG file) does not have an approximate exponential distribution. Why?
Forest fragmentation study. Ecologists classify the cause of forest fragmentation as either anthropogenic (i.e., due to human development activities, such as road construction or logging) or natural in origin (e.g., due to wetlands or wildfire). Conservation Ecology (Dec. 2003) published an article on the causes of fragmentation for 54 South American forests. Using advanced high-resolution satellite imagery, the researchers developed two fragmentation indexes for each forest—one for anthropogenic fragmentation and one for fragmentation from natural causes. The values of these two indexes (where higher values indicate more fragmentation) for five of the forests in the sample are shown in the table below. The data for all 54 forests are saved in the FORFRAG file.
a. Ecologists theorize that an approximately linear (straight line) relationship exists between the two fragmentation indexes. Graph the data for all 54 forests. Does the graph support the theory?
b. Delete the data for the three forests with the largest anthropogenic indexes, and reconstruct the graph of part a. Comment on the ecologists’ theory.
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