Question

What happens to the size of a population when it overshoots its carrying capacity? In the logistic population growth model, the per capita rate of population increase approaches zero as the population size (M) approaches the carrying capacity (K), as shown in the table Logistic Growth of a Hypothetical Population (K = 1,500) Popu- lation Size (N) Maximum Rate of Increase ($r_{max}$) $\frac{K - N}{K}$ Per Capita Rate of Increase $\frac{(K - N)}{K}$ Population Growth Rate* $r_{max} N \frac{(K - N)}{K}$ 25 1.0 0.98 0.98 +25 100 1.0 0.93 0.93 +93 250 1.0 0.83 0.83 +208

          What happens to the size of a population when it overshoots its carrying
capacity?
In the logistic population growth model, the per capita rate of population
increase approaches zero as the population size (M) approaches the carrying
capacity (K), as shown in the table
Logistic Growth of a Hypothetical Population (K = 1,500)
Popu-
lation
Size
(N)
Maximum
Rate of
Increase
($r_{max}$)
$\frac{K - N}{K}$
Per Capita Rate
of Increase
$\frac{(K - N)}{K}$
Population
Growth Rate*
$r_{max} N \frac{(K - N)}{K}$
25
1.0
0.98
0.98
+25
100
1.0
0.93
0.93
+93
250
1.0
0.83
0.83
+208

What happens to the size of a population when it overshoots its carrying
capacity?
In the logistic population growth model, the per capita rate of population
increase approaches zero as the population size (M) approaches the carrying
capacity (K), as shown in the table
Logistic Growth of a Hypothetical Population (K = 1,500)
Popu-
lation
Size
(N)
Maximum
Rate of
Increase
(rmax)
(K - N)/(K)
Per Capita Rate
of Increase
((K - N))/(K)
Population
Growth Rate*
rmax N ((K - N))/(K)
25
1.0
0.98
0.98
+25
100
1.0
0.93
0.93
+93
250
1.0
0.83
0.83
+208

Added by Rosario B.

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