**Meteorological Monographs** is a serial publication of the American Meteorological Society, intended for original papers, survey articles, and other materials in meteorology and related fields. It is designed for content that is better suited for monograph form than for publication in the *Journal of the Atmospheric Sciences*, *Journal of Applied Meteorology*, *Bulletin of the American Meteorological Society*, or *Weatherwise*. A monograph may consist of a single paper or a group of papers on a single topic. Contributors should submit manuscripts directly to Dr. J. Murray Mitchell, Environmental Data Service, ESSA, Silver Spring, MD. Manuscripts must be in English, complete, and in final form. They should be typed on one side of white paper, 8.5 x 11 inches, with double spacing and wide margins. Each manuscript must include a title page, preface, table of contents, title, author's name and affiliation, abstract, text, references, and legends. References should be alphabetical and in a specific format. Illustrations must be in final form and accompanied by a separate list of legends. The monograph includes a detailed study on the distribution and continuity of water substance in atmospheric circulations by Edwin Kessler. The paper presents a theory for the distribution of atmospheric water substance associated with assumed wind fields, analyzing equations governing mass conservation. It explores the relationships between precipitation amount, air overturning rate and duration, and raindrop size. The study also discusses microphysical processes, cloud and precipitation interactions, and numerical models. The paper includes various models and applications, such as radar reflectivity, cloud base height, and precipitation development. It concludes with a summary and references. The study is intended for meteorologists and mathematicians interested in the equations and their applications.**Meteorological Monographs** is a serial publication of the American Meteorological Society, intended for original papers, survey articles, and other materials in meteorology and related fields. It is designed for content that is better suited for monograph form than for publication in the *Journal of the Atmospheric Sciences*, *Journal of Applied Meteorology*, *Bulletin of the American Meteorological Society*, or *Weatherwise*. A monograph may consist of a single paper or a group of papers on a single topic. Contributors should submit manuscripts directly to Dr. J. Murray Mitchell, Environmental Data Service, ESSA, Silver Spring, MD. Manuscripts must be in English, complete, and in final form. They should be typed on one side of white paper, 8.5 x 11 inches, with double spacing and wide margins. Each manuscript must include a title page, preface, table of contents, title, author's name and affiliation, abstract, text, references, and legends. References should be alphabetical and in a specific format. Illustrations must be in final form and accompanied by a separate list of legends. The monograph includes a detailed study on the distribution and continuity of water substance in atmospheric circulations by Edwin Kessler. The paper presents a theory for the distribution of atmospheric water substance associated with assumed wind fields, analyzing equations governing mass conservation. It explores the relationships between precipitation amount, air overturning rate and duration, and raindrop size. The study also discusses microphysical processes, cloud and precipitation interactions, and numerical models. The paper includes various models and applications, such as radar reflectivity, cloud base height, and precipitation development. It concludes with a summary and references. The study is intended for meteorologists and mathematicians interested in the equations and their applications.