APPLYING STATISTICAL ANALYSIS AND ECONOMICS MODELS TO UNSCRAMBLE THE DEPOSITIONAL SIGNALS FROM CHEMICAL PROXIES IN BLACK SHALES
The complexity of Earth systems is comparable to the intricacies of Economics. Hence, application of statistical and econometrics methods and models to analyze geological data (particularly environmental proxies) may shed light on the processes controlling accumulation of organic matter. This approach was tested in mudrock datasets, with the aim of discriminating different depositional conditions and establishing the controls on total organic carbon (TOC) in the sediments.
Chemical indices (Ti/Al, Si/Al, Ni/Al, Cu/Al, Fe/Al, Mo/Al, U/Al, P/Al) were used as proxies for detrital input, primary productivity, redox conditions, and upwelling. To test the method sensitivity, we ran cluster analysis on modern environments with known redox conditions (anoxic, hypoxic, oxic). Discrimination and classification analysis show the indices predict redox conditions correctly. Cluster analysis on data for the Woodford Formation produced three distinct clusters, independent of TOC. We also ran linear regression models to assess the relative interdependence of parameters, e.g. detrital input vs productivity or redox. Model results show not only that individual chemical indices (proxies) can reliably predict TOC but also which indices correlate with one another, providing better constraints on environmental conditions that control accumulation of organic matter in mudrocks. The next step will be to test the approach on a larger database.