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Ideas - yes. There were in fact many different centres of domestication of plants and animals, which led to population growth and development of enlarging empires that took over land and population in surrounding areas that was still relatively low intensity land use. Simple slash and burn agriculture is in fact very widespread in the world and was not particularly harmful to the local ecology as long as population growth was limited by warfare and other factors. Your approach to explaining the history of economic change is too simplified. Still it presents a refreshing change from some of the more culture bound ideas in popular media.