Ec185-PS1-Malthusian%20model

Ec185-PS1-Malthusian%20model - due to the lack of genetic...

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Brown University Department of Economics Economics 283 Oded Galor Problem Set I The Malthusian Model Towards the end of the 16th century potatoes are introduced to Ireland and within a short time period they became the prime agricultural crop in Ireland. Suppose Ireland is in a Malthusian steady-state equilibrium prior to the 16th century. 1. Establish formally its Malthusian steady state level of income and population. The population of Ireland is about 2 million in 1650 and 8 million in 1845. 2. What should have been the increase in the productivity of land, A, (due to the introduction of potatoes) so as to generate a 4-fold increase in population. 3. Draw the phase diagram that describes the evolution of population from one steady-state to another Due to the fact that very few varieties of potatoes were initially introduced (i.e.,
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Unformatted text preview: due to the lack of genetic diversity) the potato crop was vulnerable to disease. In 1845, a fungal disease, spread rapidly through the poorer communities of western Ireland, resulting in the Great Irish Famine. In the subsequent years the population of Ireland declined by 25%, 1 million died due to the famine and about 1 million left to America. 4. Could the changes in the population of Ireland in the aftermath of this event be explained by the Malthusian model? What should be the level of destruction in the land productivity (A) in Ireland? Draw the phase diagram that describes the decline in population. 5. What should we expect the level of income per capita to be in 1845 relative to the level in 1650? 1...
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This note was uploaded on 07/06/2009 for the course ECON 185 taught by Professor Galor during the Fall '08 term at Brown.

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