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Question
Consider a population of initial size 500 individuals which has invaded a habitat with endless resources. The birth rate of the population was 2 individuals per capita and death rate was 0.5 individuals per capita. What will be the change in population size of the given population in the given year?
Consider a population of initial size 500 individuals which has invaded a habitat with endless resources. The birth rate of the population was 2 individuals per capita and death rate was 0.5 individuals per capita. What will be the change in population size of the given population in the given year?
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Solution
The correct option is B The population size will increase by 750 individuals
In the given scenario,
Original population size (N) = 500
Birth rate (b) = 2
Death rate(d) = 0.5
As the population inhabits a habitat with endless resources, it is likely to grow exponentially in its habitat. For an exponentially growing population, the change in the size of the population during time t is expressed as:
dN/dt= rN,
where r is the intrinsic rate of natural increase = b-d = 2-0.5 = 1.5 individuals per capita
Thus, the increase in the original population size (N) during time t can be calculated as = 1.5 X 500 = 750
In the given scenario,
Original population size (N) = 500
Birth rate (b) = 2
Death rate(d) = 0.5
As the population inhabits a habitat with endless resources, it is likely to grow exponentially in its habitat. For an exponentially growing population, the change in the size of the population during time t is expressed as:
dN/dt= rN,
where r is the intrinsic rate of natural increase = b-d = 2-0.5 = 1.5 individuals per capita
Thus, the increase in the original population size (N) during time t can be calculated as = 1.5 X 500 = 750
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