Scale Plateau Math

Why the 3,500-calorie rule is a rough guide, not an exact formula.

What the evidence says

  • The “3,500 kcal per pound” rule (32.2 MJ/kg) is not simply wrong — it has a condition. It approximately matches the predicted energy density of lost weight in obese subjects with initial body fat above 30 kg, and overestimates the cumulative deficit required per unit weight loss for people with lower initial body fat[1]
  • The deficit required per unit of weight lost varies with individual factors: greater initial body fat requires a larger cumulative deficit; men may lose more than women for an equivalent deficit, through typical body-composition differences; and further loss involves proportionally more lean mass, which lowers the average deficit required[1]
  • Body composition changes during weight loss affect ongoing energy requirements[1]
  • Early weight change tracks fat poorly: in the paper’s Phase 1, which lasts under one week, healthy young men lost about 3.2 kg against 1.3-1.4 kg in the weeks following, the early excess being largely water and glycogen rather than fat[2]
  • Mathematical models provide more accurate predictions than simple calorie rules[1]
  • A validated dynamic energy balance model shows the 3,500 kcal rule overestimates weight loss by approximately 100%; a more accurate rule of thumb is 10 kcal per day per pound of eventual weight change, with half achieved in about 1 year and 95% in about 3 years[3]
  • Energy imbalance gap — about 30 kJ/day. The small persistent surplus that accumulated the population’s weight gain. The paper attributes this to Hill and colleagues and names the ”small changes approach” built on it.
  • Maintenance energy gap — about 0.9 MJ/day (220 kcal/day) for US adults, 2005 against 1978, and greater than 2 MJ/day (500 kcal/day) for an adult above BMI 35 — the change needed to reverse it.