What is Basal Metabolic Rate (BMR): Equations, TDEE & Metabolic Science?
Mathematical Foundation
Laws & Principles
- Accuracy comparison: Mifflin-St Jeor predicts measured BMR within ±10% for 82% of individuals in validation studies (Frankenfield et al., 2005). Harris-Benedict (1919 original) was developed from a small, unrepresentative sample and overestimates BMR by 5% in normal-weight and up to 20% in obese individuals. The 1984 Roza-Shizgal revision improved accuracy. Katch-McArdle is the most accurate when body fat % is accurately measured, as it eliminates the fat mass component entirely.
- BMR declines with age: approximately 1–2% per decade after age 30, primarily due to sarcopenia (muscle loss, ~0.5–1% per year without resistance training). The age coefficient (-5A) captures this trend. Resistance training significantly counteracts age-related BMR decline by preserving lean mass.
- Adaptive thermogenesis: When caloric intake drops significantly below TDEE (aggressive caloric restriction), BMR can fall by 10–25% beyond what is predicted by weight loss alone. This metabolic adaptation occurs within 2–4 weeks of severe restriction and persists for months to years ('metabolic damage' or 'starvation response'). It is the primary reason why individuals on very-low-calorie diets plateau sooner than equations predict and why slow, moderate deficits (~500 kcal/day) are more sustainable than aggressive restriction.
- Thermic effect of food (TEF): Digesting food itself costs approximately 10% of caloric intake (protein 20–30%, carbohydrates 5–10%, fat 0–3%). TEF is NOT included in BMR. Full TDEE = BMR × activity factor + TEF. Some TDEE calculators include TEF implicitly within activity multipliers; others treat it separately.
Step-by-Step Example Walkthrough
" 35-year-old woman, 5‘6” (167.6 cm), 145 lbs (65.8 kg), moderately active (gym 4×/week). Calculate BMR and TDEE. "
- Mifflin-St Jeor: BMR = 10(65.8) + 6.25(167.6) - 5(35) - 161
- = 658 + 1,047.5 - 175 - 161 = 1,369.5 kcal/day
- TDEE = BMR × 1.55 (moderately active) = 1,369.5 × 1.55 = 2,123 kcal/day
- Fat loss target (-500 kcal/day): 2,123 - 500 = 1,623 kcal/day
- Muscle gain target (+250 kcal/day): 2,123 + 250 = 2,373 kcal/day