Rainfall-runoff relationships expressed by distribution parameters

THIS STUDY IS CONCERNED WITH THE STATISTICAL PARAMETERS OF PRECIPITATION AND OF RUNOFF AND THE INTERRELATIONS BETWEEN CORRESPONDING PARAMETERS. THREE PROCESSES ARE CONSIDERED: THE INPUT PROCESS (MEAN ANNUAL EFFECTIVE PRECIPITATION), AND THE OUTPUT PROCESS (MEAN ANNUAL RUNOFF). THE INPUT IS ASSUMED TO BE A PURE-RANDOM SERIES, WITH KNOWN STATISTICAL PARAMETERS. THE TRANSFORMATION IS CHARACTERIZED BY AN EXPONENTIAL RECESSION CURVE WITH ONE PARAMETER. WITH THESE ASSUMPTIONS, EQUATIONS ARE DEVELOPED EXPRESSING THE STATISTICAL PARAMETERS OF THE OUTPUT FOR ANY LENGTH OF CARRYOVER. THE VALIDITY OF THESE EQUATIONS IS CONFIRMED BY MEANS OF COMPUTER-SIMULATED SERIES, WHICH ARE ANALYZED FOR THEIR MOMENTS. THE TYPE OF DISTRIBUTION OF THE OUTPUT IS ALSO ESTABLISHED. /JH/