In a population, each individual has 0.35 offspring in a year, and the death rate is 0.20 for each…

Contributed by StemPy Lab

Try it on paper first. A hint, the key idea and the worked solution are here when you need them.

In a population, each individual has $0.35$ offspring in a year, and the death rate is $0.20$ for each individual in a year. The population is $800$ now. Use $e^{0.6} = 1.822$ .

What is $r$ ?

What is the population after $4$ years, if growth stays exponential?

How long does the population take to double? Use $\ln 2 = 0.693$ . This is an extension beyond NCERT.

Need a reminder? The key ideaShow

Exponential growth: $N_t = N_0 e^{rt}$ , with $r = b - d$ . Logistic growth: $\dfrac{dN}{dt} = rN\dfrac{K - N}{K}$ , with the largest rate $rK/4$ at $N = K/2$ . Life history: some species breed once, others many times. Some have many small offspring, others few large ones.

The worked solution

Have you tried it?

Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.

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