Steven B Heymsfield, John D Sorkin, Diana M Thomas, Shengping Yang, Moonseong Heo, Cassidy McCarthy, Jasmine Brown, Angelo Pietrobelli
{"title":"Weight/height<sup>2</sup>: Mathematical overview of the world's most widely used adiposity index.","authors":"Steven B Heymsfield, John D Sorkin, Diana M Thomas, Shengping Yang, Moonseong Heo, Cassidy McCarthy, Jasmine Brown, Angelo Pietrobelli","doi":"10.1111/obr.13842","DOIUrl":null,"url":null,"abstract":"<p><p>A footnote in Adolphe Quetelet's classic 1835 Treatise on Man described his algebraic analysis of how body weight ( <math> <semantics><mrow><mi>W</mi></mrow> <annotation>$$ W $$</annotation></semantics> </math> ) varies with height ( <math> <semantics><mrow><mi>H</mi></mrow> <annotation>$$ H $$</annotation></semantics> </math> ) in adult males and females. Using data on 12 short and 12 tall subjects of each sex, Quetelet established the rule that <math> <semantics><mrow><mi>W</mi></mrow> <annotation>$$ W $$</annotation></semantics> </math> is approximately proportional ( <math> <semantics><mrow><mo>∝</mo></mrow> <annotation>$$ \\propto $$</annotation></semantics> </math> ) to H<sup>2</sup> in adults; that is, <math> <semantics><mrow><mi>W</mi> <mo>∝</mo> <msup><mi>H</mi> <mn>2</mn></msup> </mrow> <annotation>$$ W\\propto {H}^2 $$</annotation></semantics> </math> when <math> <semantics><mrow><mi>W</mi> <mo>≈</mo> <mi>α</mi> <msup><mi>H</mi> <mn>2</mn></msup> </mrow> <annotation>$$ W\\approx \\alpha {H}^2 $$</annotation></semantics> </math> for some constant <math> <semantics><mrow><mi>α</mi></mrow> <annotation>$$ \\alpha $$</annotation></semantics> </math> . Quetelet's Rule ( <math> <semantics><mrow><mi>W</mi> <mo>∝</mo> <msup><mi>H</mi> <mn>2</mn></msup> </mrow> <annotation>$$ W\\propto {H}^2 $$</annotation></semantics> </math> ), transformed and renamed in the twentieth century to body mass index ( <math> <semantics><mrow><mi>BMI</mi> <mo>=</mo> <mi>W</mi> <mo>/</mo> <msup><mi>H</mi> <mn>2</mn></msup> </mrow> <annotation>$$ \\mathrm{BMI}=W/{H}^2 $$</annotation></semantics> </math> ), is now a globally applied phenotypic descriptor of adiposity at the individual and population level. The journey from footnote to ubiquitous adiposity measure traveled through hundreds of scientific reports and many more lay publications. The recent introduction of highly effective pharmacologic weight loss treatments has heightened scrutiny of BMI's origins and appropriateness as a gateway marker for diagnosing and monitoring people with obesity. This contemporary context prompted the current report that delves into the biological and mathematical paradigms that underlie the simple index <math> <semantics><mrow><mi>BMI</mi> <mo>=</mo> <mi>W</mi> <mo>/</mo> <msup><mi>H</mi> <mn>2</mn></msup> </mrow> <annotation>$$ \\mathrm{BMI}=W/{H}^2 $$</annotation></semantics> </math> . Students and practitioners can improve or gain new insights into their understanding of BMI's historical origins and quantitative underpinning from the provided overview, facilitating informed use of BMI and related indices in research and clinical settings.</p>","PeriodicalId":216,"journal":{"name":"Obesity Reviews","volume":" ","pages":"e13842"},"PeriodicalIF":8.0000,"publicationDate":"2024-10-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Obesity Reviews","FirstCategoryId":"3","ListUrlMain":"https://doi.org/10.1111/obr.13842","RegionNum":2,"RegionCategory":"医学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"ENDOCRINOLOGY & METABOLISM","Score":null,"Total":0}
引用次数: 0
Abstract
A footnote in Adolphe Quetelet's classic 1835 Treatise on Man described his algebraic analysis of how body weight ( ) varies with height ( ) in adult males and females. Using data on 12 short and 12 tall subjects of each sex, Quetelet established the rule that is approximately proportional ( ) to H2 in adults; that is, when for some constant . Quetelet's Rule ( ), transformed and renamed in the twentieth century to body mass index ( ), is now a globally applied phenotypic descriptor of adiposity at the individual and population level. The journey from footnote to ubiquitous adiposity measure traveled through hundreds of scientific reports and many more lay publications. The recent introduction of highly effective pharmacologic weight loss treatments has heightened scrutiny of BMI's origins and appropriateness as a gateway marker for diagnosing and monitoring people with obesity. This contemporary context prompted the current report that delves into the biological and mathematical paradigms that underlie the simple index . Students and practitioners can improve or gain new insights into their understanding of BMI's historical origins and quantitative underpinning from the provided overview, facilitating informed use of BMI and related indices in research and clinical settings.
期刊介绍:
Obesity Reviews is a monthly journal publishing reviews on all disciplines related to obesity and its comorbidities. This includes basic and behavioral sciences, clinical treatment and outcomes, epidemiology, prevention and public health. The journal should, therefore, appeal to all professionals with an interest in obesity and its comorbidities.
Review types may include systematic narrative reviews, quantitative meta-analyses and narrative reviews but all must offer new insights, critical or novel perspectives that will enhance the state of knowledge in the field.
The editorial policy is to publish high quality peer-reviewed manuscripts that provide needed new insight into all aspects of obesity and its related comorbidities while minimizing the period between submission and publication.