The carrying capacity is the maximum number of moose and wolves that
can be sustainably supported by the environment.
- A carrying capacity of moose that would benefit a long term stability of both the moose and the wolf populations is 800
Reasons:
From the table, the carrying capacity (maximum population) of wolves that
is observed is 45 wolves in 1975, which corresponds to a local maximum of
moose of 1,100 at the same time.
The carrying capacity (maximum population) of the moose is 2,500
Finding the rate of change of population of moose to wolves gives the
following table.
[tex]\begin{array}{|c|c|c|}\mathbf{Year} &\mathbf{Population \ of \ Moose}&\mathbf{Rate \ of \ Change}\\1955 - 1965&800 \ in \ 1965&37.5\\1975 - 1965&1100 \ in \ 175&17.64706\\1985 - 1975&1200 \ in \ 1985&-4\\1995 - 1985&2500 \ in \ 1995&-260\\2005-1995&500 \ in \ 2005&-400\end{array}\right][/tex]
The rate of change in the growth rate of the moose to the growth rate of
wolves is reduces between the populations of moose of 800 and 1100 from
highest growth rate of 37.5 to 17.6.
The highest ratio of moose to wolf at a point when both population are
increasing is approximately 28.6 to 1 when the population of moose is 800.
Therefore, for long-term stability of the populations of wolves and moose,
the population of the moose that would enable an adequate balance
between the populations such one population does not affect the other,
and benefit both populations is 800 moose while the population of the
wolves is 45.
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