This paper describes the results of study on modeling and exploration of a three-way environmental data set acquired from monitoring bulk precipitation chemistry collected in the Dupniański Stream Catchment (Silesian Beskid, Southern Poland) using Tucker3 modeling and self-organizing map approach. It appears that the constructed Tucker3 model is appropriate for the studied data and explains more than 91% of the data variance. The Tucker3 model allows to distinguish ‘heavy metals-dust particles’ and ‘anthropogenic’ factors responsible for chemical profiles of bulk precipitation and to identify seasonal variations in bulk precipitation quality. A self-organizing map approach confirms Tucker3 modeling results and additionally allows to identify a strong, temporary impact of remote pollution sources located in the vicinity of Polish-Czech Republic border and indicates a cyclical impact of remote pollution sources located in highly industrialized Katowice and Bełchatów regions. Copyright © 2008 John Wiley & Sons, Ltd.