A comparison of Monte Carlo methods for multidimensional integrals in air pollution modeling based on Latin Hypercube Sampling Edge Algorithm.

The present study is based on The Unified Danish Eulerian Model (UNI-DEM) as one of the most advanced large- scale mathematical models that describes adequately all physical and chemical processes. One of the most attractive features of UNI-DEM is its advanced chemical scheme the Condensed CBM IV, which consider a large number of chemical species and numerous reactions between them, of which the ozone is one of the most important pollutants for its central role in many practical applications of the results. The calculations are done in a large spatial domain, which covers completely the European region and the Mediterranean, for certain time period. A comprehensive experimental study of Monte Carlo algorithm based on modifications of the Latin Hypercube Sampling Edge and Random Algorithms for multidimensional numerical integration has been done. Samplings with different seeds has been analyzed. This comparison has been made for the first time for sensitivity analysis of UNI-DEM. The algorithms have been successfully applied to compute global Sobol sensitivity measures corresponding to the six chemical reactions rates and four different groups of pollutants. [ABSTRACT FROM AUTHOR]