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Representation of Soil Aggregate‐Size Distribution by a Logarithmic‐Normal Distribution
Author(s) -
Gardner W. R.
Publication year - 1956
Publication title -
soil science society of america journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.836
H-Index - 168
eISSN - 1435-0661
pISSN - 0361-5995
DOI - 10.2136/sssaj1956.03615995002000020003x
Subject(s) - logarithm , aggregate (composite) , geometric standard deviation , mathematics , distribution (mathematics) , simple (philosophy) , standard deviation , normal distribution , representation (politics) , geometric mean , logarithmic scale , log normal distribution , statistics , mathematical analysis , statistical physics , physics , materials science , philosophy , epistemology , politics , political science , acoustics , law , composite material
The need for a simple method of representing a soil aggregatesize distribution is well recognized. Over 200 aggregate‐size distributions which have appeared in the soils literature were examined to determine if they could be fitted by an analytical expression. A majority of these distributions was found to be logarithmic‐normal or very nearly so. Such distributions can be completely characterized by specifying the geometric mean diameter and standard deviation. The logarithmic‐normal distribution function and its application to aggregate‐size distributions are discussed. An illustrative example is given.