Corpulence index

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The Corpulence Index (CI) or Ponderal Index (PI) is a measure of leanness of a person[1] calculated as a relationship between mass and height.[2] It was first proposed in 1921 as the "Corpulence Index" by Rohrer and hence also known as Rohrer's Index.[3] It is similar to the body mass index, but the mass is normalized with the third power of body height rather than the second power.[4]

\mathrm{CI} = \frac{mass}{height^3}

For a baby, it is calculated as

\mathrm{CI} = \frac{birth weight}{Crown-heel-length^3}[5]

with mass in kg (kilograms) and height in m (meters), giving a measure with the same dimensions as density. The corpulence index yields valid results even for very short and very tall persons.[6] Because of this property, it is most commonly used in pediatrics.[7][8] The normal values for infants are about twice as high as for adults, which is the result of their relatively short legs.[citation needed] It does not need to be adjusted for age after adolescence.[4]

The corpulence index is variously defined (the first definition should be preferred due to the use of SI-units kg and m) as follows:

Formula Units for mass
(body weight)
Units for height
(or length)
Values corresponding to "normal"
BMI in a 180 cm tall person
\text{CI}=\frac{mass}{height^3}[8] kilograms metres 10.3 to 13.9, 24 for 12-month-old infant[7] ~12 for those 12-year-old or older.[4]
\text{CI}=1000\frac{mass}{height^3}[7] grams centimetres 2.4 for 12-month-old infant
\text{CI}=1000\times\frac{\sqrt[3]{mass}}{height}[2] kilograms centimetres 21.75 to 24.0[9]
\text{CI}=100\times\frac{\sqrt[3]{mass}}{height}[10] kilograms centimetres 2.175 to 2.4
\text{CI}=\frac{height}{\sqrt[3]{mass}}[1] pounds inches 12.49 to 13.92


See also[edit]


  1. ^ a b Foods and Nutrition Encyclopedia, Audrey H. Ensminger, Marion Eugene Ensminger. p. 1645
  2. ^ a b EXSS 323: LAB 1 - BIOMECHANICS TOOLS: Computers, Algebra and Trig Oregon State University
  3. ^
  4. ^ a b c d Babar, Sultan (March 2015). "Evaluating the Performance of 4 Indices in Determining Adiposity". Clinical Journal of Sports Medicine (Lippincott Williams & Wilkins) 2): 183. Retrieved August 2015. 
  5. ^ Fayyaz, Jabeen (June 2005). "Ponderal Index". Journal of Pakistan Medical Association. 
  6. ^ Lawrence F. Ditmier: New Developments in Obesity Research. Nova Science Publishers, Hauppauge, New York 2006, ISBN 1-60021-296-4[page needed]
  7. ^ a b c Davies, D. P. (1980). "Size at birth and growth in the first year of life of babies who are overweight and underweight at birth". Proceedings of the Nutrition Society 39 (1): 25–33. doi:10.1079/PNS19800005. PMID 6988835. 
  8. ^ a b ACC/SCN NUTRITION POLICY PAPER No. 19 - Glossary by Lindsay H. Allen and Stuart R. Gillespie
  9. ^ The source quoted (Oregon State University) states that typical healthy PI values range between 20 and 25.
  10. ^ Medical Dictionary University of Newcastle upon Tyne
  11. ^ Khoury, MJ; Berg, CJ; Calle, EE (September 1990). "The ponderal index in term newborn siblings.". American Journal of Epidemiology 132 (3): 576–83. PMID 2389761. 

External links[edit]