A population of initial size 300 individuals invades a habitat with endless resources. The birth rate of the population for the first year was 4 individuals per capita and death rate was 2.5 individuals per capita. What will be the change in population size of the given population in the given year?
A population of initial size 300 individuals invades a habitat with endless resources. The birth rate of the population for the first year was 4 individuals per capita and death rate was 2.5 individuals per capita. What will be the change in population size of the given population in the given year?
The correct option is B The population size will increase by 450 individuals
In the given scenario,
Original population size (N) = 300
Birth rate (b) = 4
Death rate (d) = 2.5
As the population inhabits a habitat with endless resources, it is likely to grow exponentially. For an exponentially growing population, the change in the size of the population during time t is expressed as:
dN/dt= rN,
where r (intrinsic rate of natural increase) = b-d = 4-2.5 = 1.5 individuals per capita
As b>d in this case, we can say that the population is growing in size.
Thus, the increase in the original population size (N) during time t can be calculated as = 1.5 X 300 = 450
In the given scenario,
Original population size (N) = 300
Birth rate (b) = 4
Death rate (d) = 2.5
As the population inhabits a habitat with endless resources, it is likely to grow exponentially. For an exponentially growing population, the change in the size of the population during time t is expressed as:
dN/dt= rN,
where r (intrinsic rate of natural increase) = b-d = 4-2.5 = 1.5 individuals per capita
As b>d in this case, we can say that the population is growing in size.
Thus, the increase in the original population size (N) during time t can be calculated as = 1.5 X 300 = 450
