Correlated Maps for Regional Multi-Hazard Analysis: Ideas for a Novel Approach

  • Paolo Bocchini
  • Vasileios Christou
  • Manuel J. Miranda


The modeling of multiple hazards for regional risk assessment has attracted increasing interest during the last years, and several methods have been developed. Traditional hazard maps concisely present the probabilistic frequency and magnitude of natural hazards. However, these maps have been developed for the analysis of individual sites. Instead, the probabilistic risk assessment for spatially distributed systems is a much more complex problem, and it requires more information than what is provided by traditional hazard maps. Engineering problems dealing with interdependent systems, such as lifeline risk assessment or regional loss estimation, are highly coupled, and thus it is necessary to know the probability of having simultaneously certain values of the intensity measure (e.g., peak ground acceleration) at all locations of interest. Therefore, the problem of quantifying and modeling the spatial correlation between pairs of geographically distributed points has been addressed in several different ways. In this chapter, a brief review of some of these approaches is provided. Then, a new methodology is presented for the generation of an optimal set of maps, representing the intensity measure of a natural disaster over a region. This methodology treats the intensity measures as two-dimensional, non-homogeneous, non-Gaussian random fields. Thus, it can take advantage of probabilistic tools for the optimal sampling of multidimensional stochastic functions. Even with few sample maps generated in this way, it is possible to capture accurately the hazard at all individual sites, as well as the spatial correlation among the disaster intensities at the various locations. The framework of random field theory enables a very elegant formulation of the problem, which can be applied to all types of hazards with minimal adjustments. This makes the proposed methodology particularly appropriate for multi-hazard analysis.


Spatial Correlation Peak Ground Acceleration Storm Surge Hazard Curve Functional Quantization 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  • Paolo Bocchini
    • 1
  • Vasileios Christou
    • 1
  • Manuel J. Miranda
    • 2
  1. 1.Advanced Technology for Large Structural Systems (ATLSS) Engineering Research Center, Department of Civil and Environmental EngineeringLehigh UniversityBethlehemUSA
  2. 2.Department of Engineering, 200D Weed HallHofstra UniversityHempsteadUSA

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