Yale Bulletin and Calendar
News Stories

March 2 - March 9, 1998
Volume 26, Number 23
News Stories

Economists calculate 'shadow' costs of individuals on society

Two Yale economists have created a formula to determine how much each individual costs society over his or her lifetime, in terms of impact on living standards and the environment. The economists' calculations suggest these costs are substantial, ranging from more than $100,000 per person in high-income countries to about $2,500 per person in the lowest-income countries.

"There is a deep dispute about the impact of population growth on future living standards," says William D. Nordhaus, the A. Whitney Griswold Professor of Economics and a leader in attempts to estimate the future economic impacts of global warming. "We calculate three ways an extra person affects the economy -- he or she consumes natural resources, requires a share of capital resources such as buildings and computers, and generates carbon emissions that contribute to global warming. These are societal costs beyond what a parent pays to raise a child."

Using variants of two economic models he developed to analyze global warming costs, Nordhaus estimates the "shadow price" of a person -- the economic cost that an additional person and his or her descendants impose on society. "For countries at all income levels, the annuitized shadow price of a person comes out to about 30 percent of per capita Gross Domestic Product," says Nordhaus, who developed the index with Yale graduate student Joseph Boyer.

Nordhaus reported his findings on Feb. 15 at the annual meeting of the American Association for the Advancement of Science in Philadelphia in a talk titled "What are the External Costs of More Rapid Population Growth? Theoretical Issues and Empirical Estimates."

The Yale economic model -- the first to include global warming in estimating costs of population growth -- is relevant to policy debates about such issues as family planning assistance for developing countries and the child tax credit, says Nordhaus. "Before the model is used to influence policy or to make value judgments, however, more research needs to be done on ways to estimate these costs," he cautions.

Surprisingly, most of the external costs in the shadow price come from conventional considerations of capital and land use. Estimates of climate change costs are relatively small, Nordhaus says. Moreover, of the overall external costs, only 1 to 4 percent constitute genuine costs that transcend national boundaries and can be considered shared global expenses. Global warming falls into that category, he explained.

To estimate the external costs of a larger population, the Yale scientists used computerized, dynamic, general equilibrium models of the economy and climate changes. These models come in both an aggregate version (the "DICE" model) and a regional model (the "RICE" model), Nordhaus says. The DICE model (Dynamic Integrated model of Climate and the Economy) is a model of the world economy that integrates economic activity with the consequences of greenhouse-gas emissions and climate change. The RICE model (Regional Integrated model of Climate and the Economy) looks individually at 13 different countries or major regions of the world.

The environmental sectors used in the DICE and RICE models contain a number of geophysical relationships that link together the different forces affecting climate change and greenhouse-gas emissions. "The impacts of climate change are estimated from a number of different studies, but it must be recognized that this is the most uncertain part of the model," Nordhaus says.


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