In physics, mathematics and statistics, scale invariance is a feature of objects or laws that do not change if scales of length, energy, or other variables, are multiplied by a common factor, and thus represent a universality. Buy scale dependence and scale invariance in hydrology hardcover at. Scale issues in hydrological geomorphology and developing. Regional studies xxx 2016 xxxxxx contents lists available at sciencedirect journal of hydrology. Scale dependence and scale invariance in hydrology 2008. Scale dependence and scale invariance in hydrology 20081030 on.
Scale dependence and scale invariance in hydrology nasaads. Contents lists available at sciencedirect journal of. Closing the loop of satellite soil moisture estimation via. The technical term for this transformation is a dilatation also known as. Scale dependence and scale invariance in hydrology scale dependence and scale invariance in hydrology duffy, christopher j 20020731 00. Scale issues in hydrological geomorphology and developing scale invariance in surface flow hydrology nawa raj pradhan1, yasuto tachikawa 2 and kaoru takara2 1 graduate school of civil engineering. In this volume, leading hydrologists present their views on the role of scale effects in hydrologic phenomena occurring in a range of field settings, from the land surface to deep fractured rock. The roots of scale invariance in hydrology can be traced to the pioneering work of horton, shreve, hack and hurst on the topology and metric properties of. Scale dependence and scale invariance in hydrology. Selfcontained and thoughtprovoking chapters cover both theoretical and applied hydrology. Scale invariance of simulated soil moisture and calibration of the downscaling algorithm. The dpc mentioned above can be thought of as a similarity approach. Statistical scale invariance is especially useful in the hydrology context since hydrological processes are often characterized by some statistical properties. Scale invariance is investigated in the hyperresolution sm fields from the fine scale of 125 m to the coarse scale of 32 km over multiple domains in the basin that capture several ecosystems.