The effect of subsistence on collapse and institutional adaptation in population–resource societies. Pezzey, J. C. & Anderies, J. M. Journal of Development Economics, 72(1):299–320, October, 2003. 00038
The effect of subsistence on collapse and institutional adaptation in population–resource societies [link]Paper  doi  abstract   bibtex   
We extend the Brander–Taylor model of population and resource development in an isolated society by adding a resource subsistence requirement to people's preferences. This improves plausibility; amplifies population overshoot and collapse, and can destabilize the steady state; and allows for complete cessation of non-harvesting activities, in line with archaeological evidence for many societies. We then use bifurcation techniques to give a global analysis of four types of institutional adaptation: an ad valorem resource tax, and quotas on total resource harvest, total harvest effort and per capita effort. In all cases, we find that a higher subsistence requirement makes it harder, or often impossible, for adaptation to avoid overshoot and collapse.
@article{pezzey_effect_2003,
	title = {The effect of subsistence on collapse and institutional adaptation in population–resource societies},
	volume = {72},
	issn = {03043878},
	url = {http://linkinghub.elsevier.com/retrieve/pii/S0304387803000786},
	doi = {10.1016/S0304-3878(03)00078-6},
	abstract = {We extend the Brander–Taylor model of population and resource development in an isolated society by adding a resource subsistence requirement to people's preferences. This improves plausibility; amplifies population overshoot and collapse, and can destabilize the steady state; and allows for complete cessation of non-harvesting activities, in line with archaeological evidence for many societies. We then use bifurcation techniques to give a global analysis of four types of institutional adaptation: an ad valorem resource tax, and quotas on total resource harvest, total harvest effort and per capita effort. In all cases, we find that a higher subsistence requirement makes it harder, or often impossible, for adaptation to avoid overshoot and collapse.},
	language = {en},
	number = {1},
	urldate = {2016-02-23},
	journal = {Journal of Development Economics},
	author = {Pezzey, John C.V. and Anderies, John M.},
	month = oct,
	year = {2003},
	note = {00038},
	keywords = {collapse, models},
	pages = {299--320},
	file = {Pezzey and Anderies - 2003 - The effect of subsistence on collapse and institut.pdf:C\:\\Users\\rsrs\\Documents\\Zotero Database\\storage\\A3MAQJWX\\Pezzey and Anderies - 2003 - The effect of subsistence on collapse and institut.pdf:application/pdf}
}

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