Total and average utilitarianism are very different theories, and where they differ most is over extinction. If global warming extinguishes humanity, according to total utilitarianism, that would be an inconceivably bad disaster. The loss would be all the future wellbeing of all the people who would otherwise have lived. On the other hand, according to at least some versions of average utilitarianism, extinction might not be a very bad thing at all; it might not much affect the average wellbeing of the people who do live. So the difference between these theories makes a vast difference to the attitude we should take to global warming. According to total utilitarianism, although the chance of extinction is slight, the harm extinction would do is so enormous that it may well be the dominant consideration when we think about global warming. According to average utilitarianism, the chance of extinction may well be negligible.
John Broome, Counting the Cost of Global Warming, Cambridge, 1992, p. 121