The population growth is governed by the intrinsic rate of natural increase ($r$), which is defined as the difference between the per-capita birth rate ($b$) and the per-capita death rate ($d$).
Given $b = 0.002$ and $d = 0.002$, the intrinsic rate of increase is: $$r = b - d = 0.002 - 0.002 = 0$$
The population size at time $t$ is given by the formula: $$N_t = N_0 \cdot e^{rt}$$ Since $r = 0$, the exponent becomes $0 \cdot t = 0$. Therefore: $$N_t = N_0 \cdot e^0 = N_0 \cdot 1 = N_0$$
Since the growth rate is zero, the population remains constant regardless of the number of generations. Given the initial population $N_0 = 10$ million, the population after 10 generations remains 10 million.
Final Answer: 10 million
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