Easter Island: historical anecdote or warning for the future?

Two standard solutions for the 'Malthusian Trap' involve institutional reforms and technological progress. Using Easter Island as an example, we investigate the hypothetical role that technological progress and population management reform might have played in preventing the collapse of the island's civilization. The model includes a composite manufactured good and a composite harvested renewable resource. Fertility is assumed to rise with per capita income. The resource's carrying capacity and intrinsic growth rate as well as labor's harvesting productivity are subject to technological progress. Fertility is subject to population management reform. The model yields a system of two simultaneous, nonlinear, non-autonomous differential equations. We first study the system's steady states. The system is then parameterized for Easter Island and its comparative dynamics are investigated in simulations. We find that technological progress can generate large fluctuations in population, renewable resources, and per capita utility, sometimes resulting in system collapse. With high fertility rates, the population and the resource vanish. None of the simulations investigated here exhibit a constantly growing per capita utility over time. Finally, we evaluate the applicability of these results to contemporary societies. (C) 2000 Elsevier Science B.V. All rights reserved.