Download PDF Article preview select article Scale Dependence and Scale Invariance in Hydrology: Garrison Sposito (Ed.), Cambridge University Press, 1998, Hardback, 420 pp., ISBN -521-57125-1 Get this from a library! Scale dependence and scale invariance in hydrology. [Garrison Sposito;] -- "Whether processes in the natural world are dependent or independent of the scale at which they operate is one of the major issues in hydrologic science. In this volume, leading hydrologists present Dr. Yeh is one of the associate editors for Water Resources Research. Dr. Yeh's philosophy about geohydrology can be found in "Scale Issues of Heterogeneity in Vadose-Zone Hydrology" in Chapter 8 of the book "Scale Dependence and Scale Invariance in Hydrology" edited by Garrison Sposito, Cambridge, 1998. Scale invariance is the case where the solution of a physical process at a specified time-space scale can be linearly related to the solution of the processes at another time-space scale. Recent studies investigated the scale invariance conditions of hydrodynamic processes by applying the one-parameter Lie scaling transformations to the governing equations of the processes. step towards the articulation of a biophysically sound theory about the ecology and hydrology of broad landscapes that respects a conservation law and scale invariance. Keywords: Columbia River basin, drainage density, evapotranspiration, fractal dimension, hydrology, infiltration, landscape, scale invariance, water balance. A number of empirical studies have shown that peak-discharge quantiles exhibit scale invariance with respect to drainage area and can be described by the power law formula Q(A)=?A ? . However, its use for flood prediction purpose at the event scale requires understanding how multiple aspects of the rainfall-runoff process control both the intercept (?) and the exponent (?). CiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): media, Scale dependence and scale invariance in hydrology. Cambridge University Press, pp. 335-353; Illman, W.A., in press. Strong evidence of directional permeability scale effect in tured crystalline aquifer from cross-borehole flowmeter tests. tical scale invariance manifests itself when the dependence of number of observations in the series greater than a speci?ed value on the values themselves follows a power law. Sta-tistical scale invariance is especially useful in the hydrology context since hydrological processes are often characterized by some statistical properties. Scale invariant SM with light dilaton § Consider SM as an effective Wilsonian theory with 'physical' cut-off ?. § Assume, the 'fundamental' theory exhibits conformal invariance, which is spontaneously broken down to the Poincare invariance, Only one scalar (pseudo)Goldstone is relevant in the low energy theory, the dilaton, Progress in our knowledge of scaling in hydrology requires systematic determination of critical scales and scale invariance of physical processes. In addition, viewing the surface hydrologic system as composed of interacting dynamical subsystems should facilitate the definition of scales observed in nature. Leading hydrologists present their views on the role of scale effects in hydrologic phenomena occurring in a range of field settings. Scale Dependence and Scale Invariance in Hydrology Specifications Woo