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Michael, 
 
Look at Hotelling, "The Economics of Exhaustible Resources," JPE, 39(2):137-75, 1931, and
the earlier work by Faustmann summarized and extended by Samuelson in his "Economics of
Forestry in an Evolving Society, Economic Inquiry, 14(4):466-92, Dec. 1976.
 
Dan Bromley 
 
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