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Stochastic simulation with informed rotations of Gaussian quadratures

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  • Stepanyan, Davit
  • Zimmermann, Georg
  • Grethe, Harald

Abstract

Given the fast growth of available computational capacities and the increasing complexity of simulation models addressing agro-environmental issues, uncertainty analysis using stochastic techniques has become a standard modeling practice. However, conventional uncertainty/sensitivity analysis methods are either computationally demanding (Monte Carlo-based methods) or produce results with varying quality (Gaussian quadratures). In this article, we present a computationally inexpensive and reliable uncertainty analysis method for simulation models called informed rotations of Gaussian quadratures (IRGQ). We also provide a linear programming model that generates IRGQ points based on the required input data. The results demonstrate that this method is able to produce approximations that are close to the estimated benchmarks at low computational costs. The method is tested in three different simulation models using different input data in order to demonstrate the independence of the proposed method on specific model types and data structures. This is a methodological paper for practitioners rather than theorists.

Suggested Citation

  • Stepanyan, Davit & Zimmermann, Georg & Grethe, Harald, 2021. "Stochastic simulation with informed rotations of Gaussian quadratures," Conference papers 333249, Purdue University, Center for Global Trade Analysis, Global Trade Analysis Project.
  • Handle: RePEc:ags:pugtwp:333249
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    References listed on IDEAS

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    1. Arndt, Channing, 1996. "An Introduction To Systematic Sensitivity Analysis Via Gaussian Quadrature," Technical Papers 28709, Purdue University, Center for Global Trade Analysis, Global Trade Analysis Project.
    2. Preckel, Paul V. & Verma, Monika & Hertel, Thomas W. & Martin, Will, 2011. "Implications of Broader Gaussian Quadrature Sampling Strategy in the Contest of the Special Safeguard Mechanism," Conference papers 332127, Purdue University, Center for Global Trade Analysis, Global Trade Analysis Project.
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