STOCHASTIC MODEL FOR THE WATER CYCLE * ~I IS By

In engineering practice, hydrology is defined as a discipline concerning the terrestrial circulation of water. The water balance or hydrological equation, more exactly, the conservation of matter or continuity equation is a funda-mental relationship which always can successfully be applied. In this paper the hydrologic cycle will be investigated and a general model established for simulating the water cycle. The water movement follows a probability law: namely, the transition probability matrix. The transition probability matrix, of stochastic character, will be used for continuity equation. 1. Fundamentals 1.1. The water particle The hydrologic cycle will be described by the movement of the water particle, understood here, rather than in its everyday meaning, as an infini-tesimal undivisible (atomic) volume unit, either e cm3, e litre, e m 3 or any other volume e arbitrarily selected for unit. 1.2. Segments The investigation of the water cycle or water balance is always related to a zone of the atmosphere or earth exactly circumscribed by segments. Re-mind that segments represent a "Wider class in that also segments beyond the geometric boundaries can be imagined, however,-without geometrical inter-pretation. ' " Exposition of a principle by the author awarded the second price at the Bogdanf