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How Important are Superior Numbers?: A Reappraisal of Lanchester's Square Law

Paperback / softback

Main Details

Title How Important are Superior Numbers?: A Reappraisal of Lanchester's Square Law
Authors and Contributors      By (author) David L. I. Kirkpatrick
SeriesElements in Defence Economics
Physical Properties
Format:Paperback / softback
Pages:75
Dimensions(mm): Height 150,Width 230
Category/GenreEconomics
ISBN/Barcode 9781108977876
ClassificationsDewey:355.480151
Audience
Professional & Vocational
Illustrations Worked examples or Exercises

Publishing Details

Publisher Cambridge University Press
Imprint Cambridge University Press
Publication Date 4 March 2021
Publication Country United Kingdom

Description

A century ago Frederick Lanchester formulated a mathematical model of combat which suggested that the combat power of a military force was proportional to the product of the individual effectiveness of the units in the force and the square of the number of units deployed. This model reinforced a long-established faith in the importance of superior numbers. However, successive historical studies failed to identify any clear relationship between the numbers and losses in opposing forces. This Element analyses American Civil War battles, and shows that the ratio of losses incurred was inversely proportional to the ratio of numbers effectively engaged. This result demonstrates that the numbers of fighting units in a military force are less important than the ability of those units to get into action and inflict losses on the enemy. This result demonstrates the limitations of the Square Law, and should prevent it from being applied indiscriminately.