In recent years there has been a significant increase in nonlinear modeling studies applied to geological, geophysical, geochemical and remote sensing data for mineral exploration and environmental assessment. Various forms of multifractal modeling including the application of universal multifractals to geophysical and geochemical survey data have been proven to provide useful new types of information. Singularity analysis is an offshoot of multifractal modeling. It allows the delineation of local anomalies which are superimposed on broader regional map patterns commonly constructed by well-known contouring methods such as moving averaging, inverse distance weighted interpolation or various Kriging methods. Local singularity analysis can target centers of local enrichment or depletion of chemical elements in the Earth’s crust.

The purpose of this session is to bring together scientists in the field of nonlinear process modeling who are interested in new theoretical developments as well as practical applications of multifractal theory and singularity analysis. Further development of statistical significance tests and connections to theory of spatial statistics are among the topics to be considered.