In the modulation of longevity by natural selection there is a trade-off between the investment of resources in the maintenance of the body, or soma, and the investment in reproduction. There is accumulating evidence that long-lived mammalian species have much more efficient maintenance than short-lived ones. It is also clear that short-lived ground-living mammalian species reproduce very much more quickly than larger long-lived species, and in all mammals there is an inverse relationship between maximum reproductive potential and maximum longevity. These features of life-history strategies very strongly support the disposable soma theory of the evolution of ageing. Slow development and large size are associated with delayed ageing. If the environment changes, for whatever reason, small rapidly breeding species are able to adapt and survive much more easily that large slow breeding species. This can explain the very well documented extinction of many large mammalian species during the Pleistocene. In an environment which remains constant for a long period of time, selection favours the evolution of larger species, but these are put at risk if the environment becomes less favorable. Fluctuating environments are more likely to promote the evolution of small short-lived species with high fecundity.