NBER WORKING PAPER SERIES STRUCTURAL UNCERTAINTY AND THE VALUE OF STATISTICAL LIFE IN THE ECONOMICS OF CATASTROPHIC CLIMATE CHANGE Martin Weitzman Working Paper 13490 http://www.nber.org/papers/w13490 NATIONAL BUREAU OF ECONOMIC RESEARCH 1050 Massachusetts Avenue Cambridge, MA 02138 October 2007 Department of Economics, Harvard University, Cambridge, MA 02138 (e-mail:
[email protected]). For helpful detailed comments on earlier drafts of this paper, but without implicating them for its remaining defects, I am grateful to Frank Ackerman, Roland Benabou, Richard Carson, Daniel Cole, Stephen DeCanio, Don Fullerton, Olle Häggström, Robert Hahn, Karl Löfgren, Michael Mastrandrea, Robert Mendelsohn, William Nordhaus, Cedric Philibert, Richard Posner, John Reilly, Richard Tol, Gary Yohe, and Richard Zeckhauser. The views expressed herein are those of the author(s) and do not necessarily reflect the views of the National Bureau of Economic Research. © 2007 by Martin Weitzman. All rights reserved. Short sections of text, not to exceed two paragraphs, may be quoted without explicit permission provided that full credit, including © notice, is given to the source. Structural Uncertainty and the Value of Statistical Life in the Economics of Catastrophic Climate Change Martin Weitzman NBER Working Paper No. 13490 October 2007 JEL No. Q54 ABSTRACT Using climate change as a prototype motivating example, this paper analyzes the implications of structural uncertainty for the economics of low-probability high-impact catastrophes. The paper shows that having an uncertain multiplicative parameter, which scales or amplifies exogenous shocks and is updated by Bayesian learning, induces a critical "tail fattening" of posterior-predictive distributions. These fattened tails can have strong implications for situations (like climate change) where a catastrophe is theoretically possible because prior knowledge cannot place sufficiently narrow bounds on overall damages.