A Comparative Study of the Least Squares Method and the Genetic Algorithm in Deducing Peak Ground Acceleration Attenuation Relationships

  • Author(s): Ching-Yun Kao, Jen-Kuang Chung, and Yeong-Tein Yeh
  • DOI: 10.3319/TAO.2010.02.10.01(T)
  • Keywords: Attenuation law, Regression analysis, Peak ground acceleration, Genetic algorithm
  • Citation: Kao, C. Y., J. K. Chung, and Y. T. Yeh, 2010: A comparative study of the least squares method and the genetic algorithm in deducing peak ground acceleration attenuation relationships. Terr. Atmos. Ocean. Sci., 21, 869-878, doi: 10.3319/TAO.2010.02.10.01(T)
Abstract

In engineering applications, the development of attenuation relationships in a seismic hazard analysis is a useful way to plan for earthquake hazard mitigation. However, finding an optimal solution is difficult using traditional mathematical methods because of the nonlinearity of many relationships. Furthermore, using unweighted regression analysis in which each recording carries an equal weight is often problematic because of the non-uniform distribution of the data with respect to distance.

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