Today, earth and life scientists are increasingly confronted with the puzzling complexity of phenomena enmeshed in a seemingly boundless web of interrelations. To deal with this complexity and to further our ability to analyze and predict system behavior, science is learning to transcend reliance on averages and ÔpermanenceÔ and to consider the fundamental multiple-scale character of phenomena. The contributions collected here detail techniques of multi-scale and fractal analysis that enhance the study of geo-complexity. They represent a multi-disciplinary approach to understanding the geological history of a section of the Lower Rhine River. They have in common the underlying question of how our qualitative modelling of natural phenomena do or do not prove the existence of representative averages.
Introduction: Scale Aspects of Geo-Data Sampling; Scale in Geoscientific Modeling; Scale Aspects of Data.- Multiscale Representation of Data: Wavelets; Diffusion Methods for Form Generalization; Multiscale Aspects in the Management of Geometries.- Scale Problems in Physical Process Models: Wavelet and Multigrid Methods for Partial Differential Equations; Analytical Coupling of Scales; Upscaling of Hydrological Models by Means of Parameter Aggregation Technique; Parameterization of Turbulent Transport in the Atmosphere; Precipitation Dynamics; Sediment Transport; Water Uptake by Plant Roots.- Pathways towards Finding the Governor Geo-Processes: Fractals; Fractal Variability; Is the Earth Surface Critical?; Scale Problems in Geometric-Kinematic Modelling of Geological Objects; Depositional Systems and Missing Depositional Records; Multiscale Processes and the Reconstruction of Paleoclimate; Statistical-Dynamic Analysis of Precipitation Data.
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