Today, the earth and life science are increasingly confronted with the puzzling nature of phenomena in an almost boundless network of relations, such as the complexity of phenomema with respect to their variability. Reflecting for instance the assessment of environmental risks from a complex perspective, we quickly discover the desire to deal with representative averages. We are thus nurturing the ideas of permanence which we equate with normality in contrast to disastrous exceptions. The quality of complexity and the continuity of change, however, can be well expressed synonomously by the fundamental multiple-scale character of phenomena. Therefore, we promote an enhanced discussion of the expanding scale concept in order to study geo-complexity.

Klappentext

In many aspects science becomes conducted nowadays through technology and preferential criteria of economy. Thus investigation and knowledge is evidently linked to a speci?c purpose. Especially Earth science is confronted with two major human perspectives concerning our natural environment:sustainability of resources and assessment of risks. Both aspects are expressing urgent needs of the living society, but in the same way those needs are addressing a long lasting fundamental challenge which has so far not been met. Following on the patterns of economy and technology, the key is presumed to be found through a devel- mentoffeasibleconceptsforamanagement ofbothournaturalenvironmentand in one or the other way the realm of life. Although new techniques for obser- tion and analysis led to an increase of rather speci?c knowledge about particular phenomena, yet we fail now even more frequently to avoid unforeseen impli- tions and sudden changes of a situation. Obviously the improved technological tools and the assigned expectations on a management of nature still exceed our traditional scienti?c experience and accumulated competence. Earth- and Life- Sciences are nowadays exceedingly faced with the puzzling nature of an almost boundless network of relations, i. e. , the complexity of phenomena with respect to their variability. The disciplinary notations and their particular approaches arethusnolongeraccountingsu?cientlyfortherecordedcontextofphenomena, for their permanent variability and their unpredictable implications. The large environmental changes of glacial climatic cycles, for instance, demonstrate this complexity of such a typical phenomenology.

Inhalt

Scale Concepts in Geosciences.- Scale Aspects of Geo-Data Sampling.- Notions of Scale in Geosciences.- Complexity of Change and the Scale Concept in Earth System Modelling.- Multi-Scale Representation of Data.- Wavelet Analysis of Geoscientific Data.- Diffusion Methods for Form Generalisation.- Multi-Scale Aspects in the Management of Geologically Defined Geometries.- Scale Problems in Physical Process Models.- Wavelet and Multigrid Methods for Convection-Diffusion Equations.- Analytical Coupling of Scales - Transport of Water and Solutes in Porous Media.- Upscaling of Hydrological Models by Means of Parameter Aggregation Technique.- Parameterisation of Turbulent Transport in the Atmosphere.- Precipitation Dynamics of Convective Clouds.- Sediment Transport - from Grains to Partial Differential Equations.- Water Uptake by Plant Roots - a Multi-Scale Approach.- Scale-Related Approaches to Geo-Processes.- Fractals - Pretty Pictures or a Key to Understanding Earth Processes?.- Fractal Variability of Drilling Profiles in the Upper Crystalline Crust.- Is the Earth's Surface Critical? The Role of Fluvial Erosion and Landslides.- Scale Problems in Geometric-Kinematic Modelling of Geological Objects.- Depositional Systems and Missing Depositional Records.- Multi-Scale Processes and the Reconstruction of Palaeoclimate.- A Statistical-Dynamic Analysis of Precipitation Data with High Temporal Resolution.