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There are 205 lions and 300 tigers in a savanna, which has a carrying capacity of 1300. The lion has a biotic potential of 1.5, while the tiger has 0.5. Assuming that both populations follow the logistic growth pattern, which one will grow faster? prove your answer using computations.​

Respuesta :

The population that will grow faster is the lion population.

The biotic potential describes the population growth rate in ideal conditions. In the situation presented, this means:

  • Every year each lion has the capacity of breed 1.5 cubs.
  • Every year each tiger can breed 0.5 cubs.

Now, let's calculate the population increase in the first year

First year

Lion:   205 + (205x 1.5) =  512.5

Tiger: 300 + (300 x 0.5) = 450

Total of individuals: 962.5

  • Second year

Lion: 512.5 + (512.5 x 1.5) = 1,281.25

Tiger: 450 + (450 x 0.5) = 675

Total of individuals : 1,956.25

In the second year the carrying capacity would be reached, this means the populations will start to decrease.

Regarding, population growth the first year shows the lion population will grow faster because by the end of the first year the number of lion has already outnumber the number of tigers.

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