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A Bayesian Benefit‐Risk Model Applied to the South Florida Building Code

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  • James D. Englehardt
  • Chengjun Peng

Abstract

A Bayesian compound Poisson benefit‐risk model is described in this paper, and used to evaluate recent revisions to the South Florida Building Code (SFBC). The model accounts for natural variability in hurricane frequency and severity, and uncertainty in the effectiveness of the revised code. Ranges of residential growth rate, code effectiveness, construction cost increase, and planning period length are assumed, to show the ranges of cost‐to‐performance ratio within which the code will make sense economically. The expected cost of residential hurricane damage over 50 years for ten South Florida counties assuming continuation of previous building practices was $93 billion, equivalent to the residential damage of 5.2 Andrews. Assuming a reduction in the growth of damageable housing in South Florida from 5.5% to 2% as a result of code revision, estimated damages under the new code were $45 billion. At a per‐house construction cost increase of 5%, the probability of at least recovering the estimated $40 billion cost of the specified wind‐resistant construction was estimated to be 47%. Expected return on investment was estimated at $7 billion over 50 years. The expected return lies between a $44 billion loss and a $47 billion gain, when growth in damageable housing is allowed to range from 1% to 4% and construction cost increases are assumed to lie between 3% and 8%. Actual monetary return for a 5% cost increase and 2% growth in damageable housing ranges from a $20 billion loss to a $100 billion gain with 95% probability, as a result of weather variability alone. Results support SFBC revisions on solely economic grounds, a conclusion strengthened considerably in light of potentially avoided deaths and hurricane traumas. The model represents one approach to evaluating economic aspects of the sustainability of new technological measures on the basis of available information.

Suggested Citation

  • James D. Englehardt & Chengjun Peng, 1996. "A Bayesian Benefit‐Risk Model Applied to the South Florida Building Code," Risk Analysis, John Wiley & Sons, vol. 16(1), pages 81-91, February.
  • Handle: RePEc:wly:riskan:v:16:y:1996:i:1:p:81-91
    DOI: 10.1111/j.1539-6924.1996.tb01438.x
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    References listed on IDEAS

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    1. Sundt, Bjørn & Jewell, William S., 1981. "Further Results on Recursive Evaluation of Compound Distributions," ASTIN Bulletin, Cambridge University Press, vol. 12(1), pages 27-39, June.
    2. Panjer, Harry H., 1981. "Recursive Evaluation of a Family of Compound Distributions," ASTIN Bulletin, Cambridge University Press, vol. 12(1), pages 22-26, June.
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    Cited by:

    1. Vineet Kumar Jain & Rachel Ann Davidson, 2007. "Application of a Regional Hurricane Wind Risk Forecasting Model for Wood‐Frame Houses," Risk Analysis, John Wiley & Sons, vol. 27(1), pages 45-58, February.
    2. James Englehardt & Jeff Swartout & Chad Loewenstine, 2009. "A New Theoretical Discrete Growth Distribution with Verification for Microbial Counts in Water," Risk Analysis, John Wiley & Sons, vol. 29(6), pages 841-856, June.
    3. James D. Englehardt, 2002. "Scale Invariance of Incident Size Distributions in Response to Sizes of Their Causes," Risk Analysis, John Wiley & Sons, vol. 22(2), pages 369-381, April.
    4. Pantea Vaziri & Rachel Davidson & Linda Nozick & Mahmood Hosseini, 2010. "Resource allocation for regional earthquake risk mitigation: a case study of Tehran, Iran," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 53(3), pages 527-546, June.
    5. Khansa, Lara & Liginlal, Divakaran, 2009. "Valuing the flexibility of investing in security process innovations," European Journal of Operational Research, Elsevier, vol. 192(1), pages 216-235, January.
    6. Mohammad R. Zolfaghari & Elnaz Peyghaleh, 2015. "Implementation of Equity in Resource Allocation for Regional Earthquake Risk Mitigation Using Two‐Stage Stochastic Programming," Risk Analysis, John Wiley & Sons, vol. 35(3), pages 434-458, March.
    7. Kevin M. Simmons & Jeffrey Czajkowski & James M. Done, 2019. "Building code economic performance under variable wind risk," Mitigation and Adaptation Strategies for Global Change, Springer, vol. 24(2), pages 235-258, February.

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