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Everything is heritable/correlation!=causation. Summary: identical twins are so alike in diet and exercise habits that it is difficult to find pairs of twins one of whom exercises and one of whom doesn't; but when you do, you find that the physical differences are of trivial magnitude (pg6, table 2):

1. BMI: -0.8
2. VO2max: 6.3
3. weight: -2kg
4. waist circumference: -3.3cm
5. fat percentage: -3.3
6. lean mass: 1.4kg

"Physical Activity, Fitness, Glucose Homeostasis, and Brain Morphology in Twins", Rottensteiner et al 2015

"Purpose: The main aim of the present study (FITFATTWIN) was to investigate how physical activity level is associated with body composition, glucose homeostasis, and brain morphology in young adult male monozygotic twin pairs discordant for physical activity. Methods: From a population-based twin cohort, we systematically selected 10 young adult male monozygotic twin pairs (age range, 32–36 yr) discordant for leisure time physical activity during the past 3 yr. On the basis of interviews, we calculated a mean sum index for leisure time and commuting activity during the past 3 yr (3-yr LTMET index expressed as MET-hours per day). We conducted extensive measurements on body composition (including fat percentage measured by dual-energy x-ray absorptiometry), glucose homeostasis including homeostatic model assessment index and insulin sensitivity index (Matsuda index, calculated from glucose and insulin values from an oral glucose tolerance test), and whole brain magnetic resonance imaging for regional volumetric analyses. Results: According to pairwise analysis, the active twins had lower body fat percentage (P = 0.029) and homeostatic model assessment index (P = 0.031) and higher Matsuda index (P = 0.021) compared with their inactive co-twins. Striatal and prefrontal cortex (subgyral and inferior frontal gyrus) brain gray matter volumes were larger in the nondominant hemisphere in active twins compared with those in inactive co-twins, with a statistical threshold of P G 0.001. Conclusions: Among healthy adult male twins in their mid-30s, a greater level of physical activity is associated with improved glucose homeostasis and modulation of striatum and prefrontal cortex gray matter volume, independent of genetic background. The findings may contribute to later reduced risk of type 2 diabetes and mobility limitations"

See also http://well.blogs.nytimes.com/2015/03/04/one-twin-exercises-the-other-doesnt/ and https://news.ycombinator.com/item?id=9148028
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