The actual evapotranspiration and runoff trends of five major basins in China from 1956 to 2000 are investigated by combining the Budyko hypothesis and a stochastic soil moisture model. Based on the equations of Choudhury and Porporato, the actual evapotranspiration trends and the runoff trends are attributed to changes in precipitation, potential evapotranspiration, rainfall depth and water st...

Let F be an automorphism of C which has an attracting fixed point. It is well known that the basin of attraction is biholomorphically equivalent to C. We will show that the basin of attraction of a sequence of automorphisms f1, f2, . . . is also biholomorphic to C if every fn is a small perturbation of the original map F .

Extensional and transtensional continental arc basins preserve very thick, continuous sequences and are an important contributor to the growth of continents; therefore, it is important to understand how they evolve. In this chapter, I describe four continental arc basin types, using Mesozoic to Cenozoic case studies from the SW US: (1) early-stage, low-lying extensional; (2) early-stage, low-ly...

On the highlands of Mars early in the history of the planet precipitation-driven fluvial erosion competed with ongoing impact cratering. This disruption, and the multiple enclosed basins produced by impacts, is partially responsible for a long debate concerning the processes and effectiveness of fluvial erosion. The role of fluvial erosion in sculpting the early Martian landscape is explored he...

We are accustomed to the idea that while the boundary between two regions is likely to consist of arcs, the points that are in the boundary of three or more regions are intuitively expected to be isolated. In the United States, there is only one point that is in the boundary of four states. In dynamical systems, the boundaries are more complicated. Topologists discovered that it is possible to ...

[1] Impact basin formation is a fundamental process in the evolution of the Moon and records the history of impactors in the early solar system. In order to assess the stratigraphy, sequence, and ages of impact basins and the impactor population as a function of time, we have used topography from the Lunar Orbiter Laser Altimeter (LOLA) on the Lunar Reconnaissance Orbiter (LRO) to measure the s...

To meet future global oil and gas demands, unconventional gas resources will play an important role in the U.S and world energy supply. To develop unconventional gas resources, we must first identify their occurrences and quantify their potential. The analog methodology that provides supplementary analysis to characterize the less accessible reservoirs has been employed in the oil & gas industr...

Chilean basins have long been exposed to nutrient discharges from human activities and land use changes. A historical seasonal NO(3)(-)-N and PO(4)(3-)-P database of the last 23 years of the main nine rivers of central-southern region of Chile was analysed. Generalized additive models indicated that annual trends in NO(3)(-)-N and PO(4)(3-)-P are nonlinear. River basins such as Bío-Bío, Bueno, ...

This paper introduces two parsimonious models for predicting runoff for ungauged basins from the observed river flow data in gauged basins and precipitation data from rain gauging stations in the same area. The models assume the runoff is related to the precipitation subject to variance of drainage basins. The runoff can be modeled as a function of precipitation and parameters determined by bas...