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Height of humans

## Description

The height of humans, h, is given in SI units in meters [m]. Humans are countable objects, and the symbol and unit of the number of objects is N [x]. The average height of N objects is, H = h/N [m/x], where h is the heights of all N objects measured on top of each other. Therefore, the height per human has the unit [m·x-1] (compare body mass [kg·x-1]). Without further identifyer, H is considered as the standing height of a human, measured without shoes, hair ornaments and heavy outer garments.

Abbreviation: h [m]; H [m·x-1]

Reference: Tipton 2012 Nursing

 Healthy reference population Body mass excess BFE BME cutoffs BMI H M VO2max mitObesity drugs

```Communicated by Gnaiger Erich 2020-02-12
in: Catastrophe XXX XXX-mass Carol on BME and mitObesity of A X-mass Carol
```

## Units of height

### From height to area and volume

Any power function of H, such as H2 (dimension of area) and H3 (dimension of volume), has the corresponding units [m2·x-1] (area per object) and [m3·x-1] (volume per object), respectively. The unit is not, e.g., [m2·x-2], since the quantities are bound to a single object.

### When distinguishing H from h is not an issue

Height, H, is measured as a distance [m] from feet to head of a (single) individual [x]. The unit [x] is discussed in the context of number of entities. It is useful to consider the unit [x], if the quantities h [m] and H [m·x-1] have to be distinguished in a particular context. The same argument applies for distinguishing the body mass of an object, M [kg·x-1], from the mass of a tissue sample, m [kg]. Then the unit [x] cancels in the ratio of M·H-1 [kg·m-1] or in the BMI = M·H-2 [kg·m-2]. It is reasonable, to accept some level of inconsistency, when omitting the unit [x] from the unit for H, in a context that does not introduce any ambiguity between H and h.

## Measurement of height

The person is standing upright on a firm horizontally leveled surface without shoes, hair ornaments and heavy outer garments. A small gap of 0.1 m (10 cm) is maintained between the heels of the feet which face straight ahead and arms at sides. The back of the head, shoulder blades, buttocks and heels are touching the wall-mounted statiometer. For facing straingt, the ear canal and cheek bone are level. The 90° head of the statiometer is lowered to press the hair flat. This SOP applies to mobile persons who can stand steadily for the measurement.

## Self-reported measurements

'Men overestimated their height by 1.3 to 1.9 cm and the women by 0.5 to 1.3 cm. Men overestimated their weight by up to 0.45 kg and women underestimated their weight by up to 1.4 kg' (Tipton 2012 Nursing).

## References: BMI and height

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Reference
Bonthuis 2013 PLOS ONEBonthuis M, Jager KJ, Abu-Hanna A, Verrina E, Schaefer F, van Stralen KJ (2013) Application of body mass index according to height-age in short and tall children. PLOS ONE 8:e72068.
Bosy-Westphal 2009 Br J NutrBosy-Westphal A, Plachta-Danielzik S, Dörhöfer RP, Müller MJ (2009) Short stature and obesity: positive association in adults but inverse association in children and adolescents. Br J Nutr 102:453-61.
Cohen 2008 Am J Clin NutrCohen DA, Sturm R (2008) Body mass index is increasing faster among taller persons. Am J Clin Nutr 87:445-8.
De Onis 2007 Bull World Health Organizationde Onis M, Onyango AW, Borghi E, Siyam A, Nishida C, Siekmann J (2007) Development of a WHO growth reference for school-aged children and adolescents. Bull World Health Organization 85:660-7.
De Onis 2019 Public Health Nutritionde Onis M, Borghi E, Arimond M, Webb P, Croft T, Saha K, De-Regil LM, Thuita F, Heidkamp R, Krasevec J, Hayashi C, Flores-Ayala R (2019) Prevalence thresholds for wasting, overweight and stunting in children under 5 years. Public Health Nutrition 22:175-9.
Diverse Populations Collaborative Group 2005 Am J Phys AnthropolDiverse Populations Collaborative Group (2005) Weight-height relationships and body mass index: some observations from the Diverse Populations Collaboration. Am J Phys Anthropol 128:220-9.
Gnaiger 2019 MiP2019
OXPHOS capacity in human muscle tissue and body mass excess – the MitoEAGLE mission towards an integrative database (Version 6; 2020-01-12).
Heymsfield 2014 Am J Clin NutrHeymsfield SB, Peterson CM, Thomas DM, Heo M, Schuna JM Jr, Hong S, Choi W (2014) Scaling of adult body weight to height across sex and race/ethnic groups: relevance to BMI. Am J Clin Nutr 100:1455-61.
Hood 2019 Nutr DiabetesHood K, Ashcraft J, Watts K, Hong S, Choi W, Heymsfield SB, Gautam RK, Thomas D (2019) Allometric scaling of weight to height and resulting body mass index thresholds in two Asian populations. Nutr Diabetes 9:2. doi: 10.1038/s41387-018-0068-3.
Indian Academy of Pediatrics Growth Charts Committee 2015 Indian PediatrIndian Academy of Pediatrics Growth Charts Committee, Khadilkar V, Yadav S, Agrawal KK, Tamboli S, Banerjee M, Cherian A, Goyal JP, Khadilkar A, Kumaravel V, Mohan V, Narayanappa D, Ray I, Yewale V (2015) Revised IAP growth charts for height, weight and body mass index for 5- to 18-year-old Indian children. Indian Pediatr 52:47-55.
Sperrin 2016 J Public Health (Oxf)Sperrin M, Marshall AD, Higgins V, Renehan AG, Buchan IE (2016) Body mass index relates weight to height differently in women and older adults: serial cross-sectional surveys in England (1992-2011). J Public Health (Oxf) 38:607-613.
WHO 2006 Acta PaediatrWHO Multicentre Growth Reference Study Group (2006) WHO Child Growth Standards based on length/height, weight and age. Acta Paediatr Suppl 450:76-85.
WHO 2006 Geneva: World Health OrganizationWHO Multicentre Growth Reference Study Group (2006) WHO child growth standards: length/height-for-age, weight-for-age, weight-for-length, weight-for-height and body mass index-for-age: Methods and development. Geneva: World Health Organization 312 pp.
Zucker 1962 Committee on Biological Handbooks, Fed Amer Soc Exp BiolZucker TF (1962) Regression of standing and sitting weights on body weight: man. In: Growth including reproduction and morphological development. Altman PL, Dittmer DS, eds: Committee on Biological Handbooks, Fed Amer Soc Exp Biol:336-7.

## Publications: BME and height

» Height of humans
Reference
Bosy-Westphal 2009 Br J NutrBosy-Westphal A, Plachta-Danielzik S, Dörhöfer RP, Müller MJ (2009) Short stature and obesity: positive association in adults but inverse association in children and adolescents. Br J Nutr 102:453-61.
De Onis 2007 Bull World Health Organizationde Onis M, Onyango AW, Borghi E, Siyam A, Nishida C, Siekmann J (2007) Development of a WHO growth reference for school-aged children and adolescents. Bull World Health Organization 85:660-7.
Gnaiger 2019 MiP2019
OXPHOS capacity in human muscle tissue and body mass excess – the MitoEAGLE mission towards an integrative database (Version 6; 2020-01-12).
Hood 2019 Nutr DiabetesHood K, Ashcraft J, Watts K, Hong S, Choi W, Heymsfield SB, Gautam RK, Thomas D (2019) Allometric scaling of weight to height and resulting body mass index thresholds in two Asian populations. Nutr Diabetes 9:2. doi: 10.1038/s41387-018-0068-3.
Indian Academy of Pediatrics Growth Charts Committee 2015 Indian PediatrIndian Academy of Pediatrics Growth Charts Committee, Khadilkar V, Yadav S, Agrawal KK, Tamboli S, Banerjee M, Cherian A, Goyal JP, Khadilkar A, Kumaravel V, Mohan V, Narayanappa D, Ray I, Yewale V (2015) Revised IAP growth charts for height, weight and body mass index for 5- to 18-year-old Indian children. Indian Pediatr 52:47-55.
Zucker 1962 Committee on Biological Handbooks, Fed Amer Soc Exp BiolZucker TF (1962) Regression of standing and sitting weights on body weight: man. In: Growth including reproduction and morphological development. Altman PL, Dittmer DS, eds: Committee on Biological Handbooks, Fed Amer Soc Exp Biol:336-7.

## MitoPedia: BME and mitObesity

» Body mass excess and mitObesity | BME and mitObesity news | Summary |

TermAbbreviationDescription
BME cutoff pointsBME cutoffObesity is defined as a disease associated with an excess of body fat with respect to a healthy reference condition. Cutoff points for body mass excess, BME cutoff points, define the critical values for underweight (-0.1 and -0.2), overweight (0.2), and various degrees of obesity (0.4, 0.6, 0.8, and above). BME cutoffs are calibrated by crossover-points of BME with established BMI cutoffs.
Body fat excessBFEIn the healthy reference population (HRP), there is zero body fat excess, BFE, and the fraction of excess body fat in the HRP is expressed - by definition - relative to the reference body mass, M°, at any given height. Importantly, body fat excess, BFE, and body mass excess, BME, are linearly related, which is not the case for the body mass index, BMI.
Body massm [kg]; M [kg·x-1]The body mass, M, is the mass (kilogram [kg]) of an individual (object) [x] and is expressed in units [kg/x]. Whereas the body weight changes as a function of gravitational force (you are weightless at zero gravity; your floating weight in water is different from your weight in air), your mass is independent of gravitational force, and it is the same in air and water.
Body mass excessBMEThe body mass excess, BME, is an index of obesity and as such BME is a lifestyle metric. The BME is a measure of the extent to which your actual body mass, M [kg/x], deviates from M° [kg/x], which is the reference body mass [kg] per individual [x] without excess body fat in the healthy reference population, HRP. A balanced BME is BME° = 0.0 with a band width of -0.1 towards underweight and +0.2 towards overweight. The BME is linearly related to the body fat excess.
Body mass indexBMIThe body mass index, BMI, is the ratio of body mass to height squared (BMI=M·H-2), recommended by the WHO as a general indicator of underweight (BMI<18.5 kg·m-2), overweight (BMI>25 kg·m-2) and obesity (BMI>30 kg·m-2). Keys et al (1972; see 2014) emphasized that 'the prime criterion must be the relative independence of the index from height'. It is exactly the dependence of the BMI on height - from children to adults, women to men, Caucasians to Asians -, which requires adjustments of BMI-cutoff points. This deficiency is resolved by the body mass excess relative to the healthy reference population.
ComorbidityComorbidities are common in obesogenic lifestyle-induced early aging. These are preventable, non-communicable diseases with strong associations to obesity. In many studies, cause and effect in the sequence of onset of comorbidities remain elusive. Chronic degenerative diseases are commonly obesity-induced. The search for the link between obesity and the etiology of diverse preventable diseases lead to the hypothesis, that mitochondrial dysfunction is the common mechanism, summarized in the term 'mitObesity'.
Healthy reference populationHRPA healthy reference population, HRP, establishes the baseline for the relation between body mass and height in healthy people of zero underweight or overweight, providing a reference for evaluation of deviations towards underweight or overweight and obesity. The WHO Child Growth Standards (WHO-CGS) on height and body mass refer to healthy girls and boys from Brazil, Ghana, India, Norway, Oman and the USA. The Committee on Biological Handbooks compiled data on height and body mass of healthy males from infancy to old age (USA), published before emergence of the fast-food and soft-drink epidemic. Four allometric phases are distinguished with distinct allometric exponents. At heights above 1.26 m/x the allometric exponent is 2.9, equal in women and men, and significantly different from the exponent of 2.0 implicated in the body mass index, BMI [kg/m2].
Height of humansh [m]; H [m·x-1]The height of humans, h, is given in SI units in meters [m]. Humans are countable objects, and the symbol and unit of the number of objects is N [x]. The average height of N objects is, H = h/N [m/x], where h is the heights of all N objects measured on top of each other. Therefore, the height per human has the unit [m·x-1] (compare body mass [kg·x-1]). Without further identifyer, H is considered as the standing height of a human, measured without shoes, hair ornaments and heavy outer garments.
Lengthl [m]Length l is an SI base quantity with SI base unit meter m. Quantities derived from length are area A [m2] and volume V [m3]. Length is an extensive quantity, increasing additively with the number of objects. The term 'height' h is used for length in cases of vertical position (see height of humans). Length of height per object, LUX [m·x-1] is length per unit-entity UX, in contrast to lentgth of a system, which may contain one or many entities, such as the length of a pipeline assembled from a number NX of individual pipes. Length is a quantity linked to direct sensory, practical experience, as reflected in terms related to length: long/short (height: tall/small). Terms such as 'long/short distance' are then used by analogy in the context of the more abstract quantity time (long/short duration).
MitObesity drugsBioactive mitObesity compounds are drugs and nutraceuticals with more or less reproducible beneficial effects in the treatment of diverse preventable degenerative diseases implicated in comorbidities linked to obesity, characterized by common mechanisms of action targeting mitochondria.
ObesityObesity is a disease resulting from excessive accumulation of body fat. In common obesity (non-syndromic obesity) excessive body fat is due to an obesogenic lifestyle with lack of physical exercise ('couch') and caloric surplus of food consumption ('potato'), causing several comorbidities which are characterized as preventable non-communicable diseases. Persistent body fat excess associated with deficits of physical activity induces a weight-lifting effect on increasing muscle mass with decreasing mitochondrial capacity. Body fat excess, therefore, correlates with body mass excess up to a critical stage of obesogenic lifestyle-induced sarcopenia, when loss of muscle mass results in further deterioration of physical performance particularly at older age.
VO2maxVO2max; VO2max/MMaximum oxygen consumption, VO2max, is and index of cardiorespiratory fitness, measured by spiroergometry on human and animal organisms capable of controlled physical exercise performance on a treadmill or cycle ergometer. VO2max is the maximum respiration of an organism, expressed as the volume of O2 at STPD consumed per unit of time per individual object [mL.min-1.x-1]. If normalized per body mass of the individual object, M [kg.x-1], mass specific maximum oxygen consumption, VO2max/M, is expressed in units [mL.min-1.kg-1].

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