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Hall–Chow weight-change scenario

A simplified model with average parameters illustrates weight change after a sustained reduction in baseline energy intake, with unchanged activity.

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Calculation

Result

Weight in the simplified model (16 weeks)
89.6 kg

Uses published average parameters; individual outcomes can differ substantially.

Modelled weight change
5.4 kg

Uses published average parameters; individual outcomes can differ substantially.

Linear comparison: 7700 kcal/kg
7.3 kg

The linear comparison ignores falling energy expenditure and is not a second forecast.

Difference between models
1.9 kg

The linear comparison ignores falling energy expenditure and is not a second forecast.

Week 13
90.5 kg
Week 14
90.2 kg
Week 15
89.9 kg
Week 16
89.6 kg

This is the linearized two-parameter Hall–Chow model (2011), not the full individual NIH Body Weight Planner. It does not predict fat, muscle or an exact plateau date. Scenario for adults, excluding pregnancy and breastfeeding. Baseline intake is assumed to maintain weight and the reduction to be sustained; water, medicines, illness and adherence are not modelled. This does not prescribe a calorie deficit.

The result updates as you change the fields. Your data never leaves the browser.

Only upon clicking, current data is sent to generate the PDF and is not stored.

How it is calculated

W(t)=W0−D/22×(1−exp(−22×t/9100)); t is days, D is intake reduction in kcal/day. Average parameters: ρ=9100 kcal/kg, ε=22 kcal/(kg·day). Linear comparison: loss D×t/7700.

Formula

W(t)=W0−D/22×(1−exp(−22×t/9100)); t is days, D is intake reduction in kcal/day. Average parameters: ρ=9100 kcal/kg, ε=22 kcal/(kg·day). Linear comparison: loss D×t/7700.

Limits of the method

This is the linearized two-parameter Hall–Chow model (2011), not the full individual NIH Body Weight Planner. It does not predict fat, muscle or an exact plateau date. Scenario for adults, excluding pregnancy and breastfeeding. Baseline intake is assumed to maintain weight and the reduction to be sustained; water, medicines, illness and adherence are not modelled. This does not prescribe a calorie deficit.

Sources of the method

  • Hall K.D., Chow C.C. Estimating changes in free-living energy intake and its confidence interval. Am J Clin Nutr, 2011;94(1):66–74. Linearized energy-balance model
  • Hall KD et al. Quantification of the effect of energy imbalance on bodyweight. Lancet, 2011

This calculation is for reference only and is not medical advice, a diagnosis or a prescription. If you have a medical condition, are pregnant, take medication or have any doubts, discuss the result with a physician or a qualified nutrition professional.

How to use the calculation

1

Enter the starting values

Use actual values and the appropriate units.

2

Adjust the parameters

Adjust the starting assumptions for your situation.

3

Read the result

Consider the model limitations; a calculation is not a measurement.

Frequently asked questions

What does the calculation show?

A simplified model with average parameters illustrates weight change after a sustained reduction in baseline energy intake, with unchanged activity.

What limitations apply?

This is the linearized two-parameter Hall–Chow model (2011), not the full individual NIH Body Weight Planner. It does not predict fat, muscle or an exact plateau date. Scenario for adults, excluding pregnancy and breastfeeding. Baseline intake is assumed to maintain weight and the reduction to be sustained; water, medicines, illness and adherence are not modelled. This does not prescribe a calorie deficit.

Related calculators

Related tools.

Estimated total daily energy expenditure (TDEE) →Energy estimates from fat-free mass →Author-defined macro planner →Circumference-based body composition and BMI →

For professionals

Calculation assumptions

This is the linearized two-parameter Hall–Chow model (2011), not the full individual NIH Body Weight Planner. It does not predict fat, muscle or an exact plateau date. Scenario for adults, excluding pregnancy and breastfeeding. Baseline intake is assumed to maintain weight and the reduction to be sustained; water, medicines, illness and adherence are not modelled. This does not prescribe a calorie deficit.

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What next

Formula breakdowns, biomarker reference ranges and nutrition articles with cited sources are in the NutriFit knowledge base.

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