A monthly interception equation based on the statistical characteristics of daily rainfall

This paper presents a simple analytical equation for monthly interception on the basis of the combination of a daily threshold model with the probability distribution of daily rainfall. In this paper, interception has a wider definition than merely canopy interception. It is the part of the rainfall that evaporates after it has been stored on the wetted surface, which includes the canopy, the understory, the bottom vegetation, the litter layer, the soil, and the hard surface. Interception is defined as the process of evaporation from intercepted rainfall. It is shown that this process has a typical timescale of 1 day. Monthly interception models can be improved by taking the statistical characteristics of daily rainfall into account. These characteristics appear to be less variable in space than the rainfall itself. With the statistical characteristics of daily rainfall obtained at a few locations where reliable records are available (for example, airports) monthly models can be improved and applied to larger areas (20–200 km). The equation can be regionalized, making use of the Markov property of daily rainfall. The equation obtained for monthly interception is similar to Budyko's curve.

[1]  C. Buckle.  Weather and climate in Africa , 1996 .

[2]  J. Doorenbos,et al.  Yield response to water , 1979 .

[3]  K. Gabriel,et al.  A Markov chain model for daily rainfall occurrence at Tel Aviv , 1962 .

[4]  D. A. Woolhiser,et al.  Maximum Likelihood Estimation of Fourier Coefficients to Describe Seasonal Variations of Parameters in Stochastic Daily Precipitation Models , 1979 .

[5]  J. Rockström,et al.  Balancing Water for Humans and Nature: The New Approach in Ecohydrology , 2004 .

[6]  Vivek K. Arora,et al.  The use of the aridity index to assess climate change effect on annual runoff , 2002 .

[7]  C. E. Koeppe,et al.  Weather and climate , 1935 .

[8]  K. El-Askari,et al.  CROPWAT for windows version 4.2. user guide , 1992 .

[9]  R. Clarke.  Stochastic Processes for Water Scientists: Developments and Applications , 1998 .

[10]  J. Schellekens,et al.  Modelling rainfall interception by a lowland tropical rain forest in northeastern Puerto Rico , 1999 .

[11]  Hubert H. G. Savenije,et al.  The importance of interception and why we should delete the term evapotranspiration from our vocabulary , 2004 .

[12]  H. Elsenbeer,et al.  Throughfall and temporal trends of rainfall redistribution in an open tropical rainforest, south-western Amazonia (Rondônia, Brazil) , 2005 .

[13]  Hubert H. G. Savenije,et al.  Comparison of two model approaches in the Zambezi river basin with regard to model reliability and identifiability , 2005 .

[14]  Roger Stern,et al.  The use of rainfall models in agricultural planning , 1982 .

[15]  A. Rutter,et al.  A predictive model of rainfall interception in forests, 1. Derivation of the model from observations in a plantation of Corsican pine , 1971 .

[16]  M. Falkenmark,et al.  Consumptive water use to feed humanity - curing a blind spot , 2004 .

[17]  McNeil,et al.  A model of southern African rainfall , 1992 .

[18]  N. Zeng,et al.  Influence of temporal variability of rainfall on interception loss. Part I. Point analysis , 2000 .

[19]  L. Pfister,et al.  Measuring forest floor interception in a beech forest in Luxembourg , 2006 .

[20]  M. Groen.  Modelling interception and transpiration at monthly time steps: Introducing daily variability through Markov chains , 2002 .

[21]  C. Taylor,et al.  Interactions between the Land Surface and Mesoscale Rainfall Variability during HAPEX-Sahel , 1997 .

[22]  David A. Woolhiser,et al.  A Stochastic Model of n-Day Precipitation , 1975 .

[23]  I. Calder.  Evaporation in the Uplands , 1990 .

[24]  M. I. Budyko.  Evaporation under natural conditions , 1963 .

[25]  Murugesu Sivapalan,et al.  Transformation of point rainfall to areal rainfall: Intensity-duration-frequency curves , 1998 .

[26]  D. Woolhiser,et al.  Southern oscillation effects on daily precipitation in the southwestern United States , 1993 .

[27]  M. Jury,et al.  Contrasting meteorological structure of intra‐seasonal wet and dry spells in Zimbabwe , 1992 .

[28]  W. O. Pruitt,et al.  Crop water requirements , 1997 .

[29]  D. Clarke,et al.  CropWat for Windows : User guide , 2000 .