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# Corpulence index

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 Title: Corpulence index Author: World Heritage Encyclopedia Language: English Subject: Collection: Publisher: World Heritage Encyclopedia Publication Date:

### Corpulence index

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. 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}=100\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

## References

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. ^ http://www.wisegeek.com/what-is-the-ponderal-index.htm
4. ^ a b c d
5. ^
6. ^ Lawrence F. Ditmier: New Developments in Obesity Research. Nova Science Publishers, Hauppauge, New York 2006, ISBN 1-60021-296-4
7. ^ a b c
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. ^