ECOLOGY Threatened monarch butterflies are monitored by meas

ECOLOGY

Threatened monarch butterflies are monitored by measuring the area occupied by overwintering butterflies in Mexico. According to data collected by World Wildlife Fund Mexico, monarch butterflies occupied 0.67 hectares one recent winter, and 1.13 hectares the following winter (one year later)^1. If the population is growing geometrically and grows at the same rate, how mu Ch area should the overwintering butterflies occupy one year after that? hectares The manager of a white-tailed deer population surveyed the population 2 years in a row, counting the number of females. She counted 196 last year and 232 this year. If the deer population grows geometrically and continues to grow at this rate, what will be the size of the population of female deer 5 years from now? female deer

Solution

Q 1.11). The land occupied by butterflies initially is = 0.67 hectars

The land occupied in the next year is = 1.13 hectars

Ther percent growth rate is = 1.13/0.67 * 100 = 68.6%

The land expected to be occupied in the next winter with the same growth rate is = 1.13 (1+ 0.686) = 1.905 hectares.