The first line on my graph (red) demonstrates a population of sparrows with a carrying capacity of 10,000 individuals. The second line demonstrates the population after the carrying capacity decreased to 7,000 after year 60. A probable cause for the decrease in carrying capacity is habitat destruction. Since this is a common environmental issue faces many habitats, I thought it would be interesting to see the effect on a population. The population reached its carrying capacity 10 years earlier in the second population. The formula used to determine the population after each year is:
N represents the number of individuals, t is the time in years, r is the rate of increase, and K is the carrying capacity. The rate of increase (r) accounts for births, deaths, and migration in the population and K demonstrates the maximum amount of individuals that a given environment can sustain. The graph shows an exponential growth, however after about 85 years, growth seems to slow down and remain almost constant as it approaches the carrying capacity.