Natural disasters in a two-sector model of endogenous growth

Ikefuji, Masako and Horii, Ryo (2012): Natural disasters in a two-sector model of endogenous growth.

Abstract

Using an endogenous growth model with physical and human capital accumulation, this paper considers the sustainability of economic growth when the use of a polluting input (e.g., fossil fuels) intensifies the risk of capital destruction through natural disasters. We find that growth is sustainable only if the tax rate on the polluting input increases over time. The long-term rate of economic growth follows an inverted V-shaped curve relative to the growth rate of the environmental tax, and it is maximized by the least aggressive tax policy of those that asymptotically eliminate the use of polluting inputs. Unavailability of insurance can accelerate or decelerate the growth-maximizing speed of the tax increase depending on the relative significance of the risk premium and precautionary savings effects. Welfare is maximized under a milder environmental tax policy, especially when the pollutants accumulate gradually.

• Item Type: MPRA Paper
• Language: English
• Keywords: human capital; global warming; environmental tax; nonbalanced growth path; precautionary saving; risk premium
• Subjects: O - Economic Development, Innovation, Technological Change, and Growth > O4 - Economic Growth and Aggregate Productivity > O41 - One, Two, and Multisector Growth Models; H - Public Economics > H2 - Taxation, Subsidies, and Revenue > H23 - Externalities ; Redistributive Effects ; Environmental Taxes and Subsidies; Q - Agricultural and Natural Resource Economics ; Environmental and Ecological Economics > Q5 - Environmental Economics > Q54 - Climate ; Natural Disasters and Their Management ; Global Warming

References

Benhabib, J., Perli, R., 1994. Uniqueness and indeterminacy: on the dynamics of endogenous growth. Journal of Economic Theory 63, 113--142.

Bovenberg, A.L., Smulders, S., 1995. Environmental quality and pollution-augmenting technological change in a two-sector endogenous growth model. Journal of Public Economics 57, 369--391.

Burton, M. L., Hicks, M. J., 2005. Hurricane Katrina: Preliminary Estimates of Commercial and Public Sector Damages. Marshall University: Center for Business and Economic Research.

CRED (the Centre for Research on the Epidemiology of Disasters), 2012. Disaster Data: A Balanced Perspective. CRED Crunch 27, 1--2.

Denuit, M.M., Eeckhoudt, L., Menegatti, M., 2011. Correlated risks, bivariate utility and optimal choices. Economic Theory 46, 39--54.

El\'iasson, L., Turnovsky, S. J., 2004. Renewable resources in an endogenously growing economy: balanced growth and transitional dynamics. Journal of Environmental Economics and Management 48, 1018--1049.

Emanuel, K., 2005. Increasing destructiveness of tropical cyclones over the past 30 years. Nature 436, 686--688.

Forster, B.A., 1973. Optimal Capital Accumulation in a Polluted Environment, Southern Economic Journal 39, 544--547.

Gaddis, E.B., Miles, B., Morse, S., Lewis, D., 2007. Full-cost accounting of coastal disasters in the United States: implications for planning and preparedness. Ecological Economics 63, 307--318.

Gradus, A., Smulders, S., 1993. The trade-off between environmental care and long-term growth --- Pollution in three prototype growth models. Journal of Economics 58, 25--51.

Grimaud, A., Roug\'{e}, L., 2003. Non-renewable resources and growth with vertical innovations: optimum, equilibrium and economic policies. Journal of Environmental Economics and Management 45, 433--453.

Groth, C., Schou, P., 2007. Growth and non-renewable resources: the different roles of capital and resource taxes. Journal of Environmental Economics and Management 53, 80--98.

Hallegatte, S., Hourcade, J.-C., Dumas, P., 2007. Why economic dynamics matter in assessing climate change damages: illustration on extreme events. Ecological Economics 62, 330--340.

Hallegatte, S., Dumas, P., 2009. Can natural disasters have positive consequences? Investigating the role of embodied technical change. Ecological Economics 68, 777--786.

Hartman, R., Kwon, O-S., 2005. Sustainable growth and the environmental Kuznets curve. Journal of Economic Dynamics \& Control 29, 1701--1736.

IPCC, 2007. Climate Change 2007: Synthesis Report. Contribution of Working Groups I, II and III to the Fourth Assessment Report of the Intergovernmental Panel on Climate Change [Core Writing Team, Pachauri R.K., Reisinger A. (Eds)]. IPCC, Geneva.

John, A., Pecchenino, R., 1994. An overlapping generations model of growth and the environment. Economic Journal 104, 1393--1410.

King, R.O., 2005. Hurricane Katrina: insurance losses and national capacities for financing disaster risk. CRS Report for Congress, RL33086. September 15.

Lucas Jr., R. E., 1988. On the mechanics of economic development. Journal of Monetary Economics 22, 3--42.

\item Lord, W., Rangazas, P., 1998. Capital accumulation and taxation in a general equilibrium model with risky human capital. Journal of Macroeconomics 20, 509--531.

Min, S.-K., Zhang, X., Zwiers, F.W., Hegerl, G.C., 2011. Human contribution to more-intense precipitation extremes. Nature 470, 378--381.

Narita, D., Tol, R.S.J., Anthoff, D., 2009. Damage costs of climate change through intensification of tropical cyclone activities: an application of FUND. Climate Research 39, 87--97.

Noy, I., 2009. The macroeconomic consequences of disasters. Journal of Development Economics 88, 221--231.

Palivos, T., Wang, P., Zhang, J., 1997. On the existence of balanced growth equilibrium. International Economic Review 38, 205--224.

Pielke, Jr., R.A., Gratz, J. , Landsea, C.W., Collins, D., Saunders, M.A., Musulin, R., 2008. Normalized hurricane damages in the United States: 1900-2005. Natural Hazards Review 9, 29--42

Raddatz, C., 2007. Are external shocks responsible for the instability of output in low-income countries? Journal of Development Economics 84, 155--187.

Rose, A., 2004. Defining and measuring economic resilience to disasters. Disaster Prevention and Management 13, 307--314.

Skidmore, M., Toya, H., 2002. Do natural disasters promote long-run growth? Economic Inquiry 40, 664--687.

Soretz, S., 2007. Efficient dynamic pollution taxation in an uncertain environment. Environmental and Resource Economics 36, 57--84.

Stokey, N. L., 1998. Are there limits to growth? International Economic Review 39, 1--31.

Tsur, Y., Zemel, A., 2005. Scarcity, growth and R\&D. Journal of Environmental Economics and Management 49, 484--499.