Nonlinear Dynamics of Soil Moisture at Climate Scales: 2. Chaotic Analysis

The soil moisture balance equation over large spatial territories is analyzed at seasonal time scales. Local recycling of precipitation and dynamic effects of soil moisture in the generation and modification of mesoscale circulations are explicitly included in the parameterization which also incorporates time delays in the above effects. It is shown that the dynamics of the equation is quite complex, being capable of exhibiting fixed point, limit cycle, and chaotic type of behavior. The implications of this dynamics are important for the interpretation and modeling of hydrologie phenomena.

[1]  M. Schlesinger,et al.  Numerical Simulation of the January and July Global Climate with a Two-Level Atmospheric Model , 1977 .

[2]  A. Baumgartner.  The world water balance , 1975 .

[3]  A. Arakawa.  Design of the UCLA general circulation model , 1972 .

[4]  J. Philip.  EVAPORATION, AND MOISTURE AND HEAT FIELDS IN THE SOIL , 1957 .

[5]  S. Idso.  A note on some recently proposed mechanisms of genesis of deserts , 1977 .

[6]  R. Pielke,et al.  Evaluation of vegetation effects on the generation and modification of mesoscale circulations , 1988 .

[7]  Syukuro Manabe,et al.  The Influence of Soil Wetness on Near-Surface Atmospheric Variability , 1989 .

[8]  L. T. Pierce.  Estimating Seasonal and Short-Term Fluctuations in Evapo-Transpiration from Meadow Crops , 1958 .

[9]  L. Molion.  a Climatonomic Study of the Energy and Moisture Fluxes of the Amazonas Basin with Considerations of Deforestation Effects. , 1975 .

[10]  N. D. Hayes.  Roots of the Transcendental Equation Associated with a Certain Difference‐Differential Equation , 1950 .

[11]  Dara Entekhabi,et al.  The quasi-periodic behavior of rainfall variability in Africa and its relationship to the southern oscillation , 1986 .

[12]  Richard A. Anthes,et al.  Enhancement of Convective Precipitation by Mesoscale Variations in Vegetative Covering in Semiarid Regions , 1984 .

[13]  E. Rasmusson,et al.  The general circulation of the tropical atmosphere and interactions with extratropical latitudes , 1972 .

[14]  L. Glass,et al.  PATHOLOGICAL CONDITIONS RESULTING FROM INSTABILITIES IN PHYSIOLOGICAL CONTROL SYSTEMS * , 1979, Annals of the New York Academy of Sciences.

[15]  Robert M. May,et al.  Time delays, density-dependence and single-species oscillations , 1974 .

[16]  J. Shukla,et al.  Influence of Land-Surface Evapotranspiration on the Earth's Climate , 1982, Science.

[17]  David Rind,et al.  Global sources of local precipitation as determined by the Nasa/Giss GCM , 1986 .

[18]  D. Sharon.  The distribution in space of local rainfall in the Namib Desert , 1981 .

[19]  H. Lettau,et al.  Amazonia's Hydrologic Cycle and the Role of Atmospheric Recycling in Assessing Deforestation Effects , 1979 .

[20]  W. P. Lowry.  The Falling Rate Phase of Evaporative Soil-Moisture Loss—A Critical Evaluation , 1959 .

[21]  P. Rowntree,et al.  Simulation of the atmospheric response to soil moisture anomalies over Europe , 1983 .

[22]  A. A. Sokolov,et al.  World water balance and water resources of the earth , 1978 .

[23]  M. Budyko.  The heat balance of the earth's surface , 1958 .

[24]  J. Shukla,et al.  Amazon Deforestation and Climate Change , 1990, Science.

[25]  I. Shiklomanov.  Climate and water resources , 1989 .