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endurance Formula

Female Athlete Formula Suite

Female-specific training math accounts for energy availability (EA — IOC 2018 RED-S framework) and menstrual cycle phase. EA = intake minus exercise calories per kg fat-free mass. Below 30 kcal/kg FFM is clinically low and disrupts menstrual function and bone health. Cycle phase modulates training response. Standard Mifflin underrates lean female athletes.

By Orbyd Editorial · AI Fit Hub Team
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Female Athlete Formula Suite

Apply female-specific corrections to FFMI, Mifflin-St Jeor BMR, max heart rate, and body-fat estimation.

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Formula

Copy the exact expression or work through it step by step below.

energy_availability = (energy_intake_kcal − exercise_energy_kcal) / fat_free_mass_kg EA < 30 kcal/kg FFM: clinically low, RED-S risk EA 30-45 kcal/kg FFM: suboptimal EA ≥ 45 kcal/kg FFM: adequate cycle_phase_modifier: Follicular (Day 1-14): training capacity baseline Ovulatory (Day 13-15): peak strength + power Luteal (Day 15-28): −5-8% high-intensity capacity, +slight aerobic capacity Late luteal (Day 25-28): GI symptoms, fluid retention — schedule deload

Variables

energy_intake_kcal

Daily energy intake

Total kcal eaten. Track for 7-14 days for accuracy (food labels + USDA + cooked-weight measurements).

exercise_energy_kcal

Exercise energy expenditure

Calories burned in structured training (above NEAT baseline). Use the food-to-exercise formula or a calibrated HR-based tracker. Don't double-count BMR.

fat_free_mass_kg

Fat-free mass

Total mass minus fat mass. Requires accurate body-fat % (DXA, BIA, skinfolds). Critical input — EA is reported per unit lean mass, not total mass.

cycle_phase

Menstrual cycle phase

Phase relative to first day of menstruation. Track 3+ cycles to identify personal pattern; cycle lengths vary 21-35 days normal. Hormonal contraceptive users have suppressed natural cycle; flat hormone profile across the month.

Step By Step

  1. 1

    Measure fat-free mass. DXA is gold standard; calibrated BIA scale is acceptable (±5% error).

    DXA shows 18% body fat at 60 kg → FFM = 60 × (1 − 0.18) = 49.2 kg.

  2. 2

    Track 7-day average daily energy intake.

    Week average: 2,100 kcal/day.

  3. 3

    Compute exercise energy. Use MET × time × mass for sessions, or HR-based tracker (de-bias by 15-20% if a wrist wearable).

    5 sessions/week × 350 kcal = 1,750 kcal/week → 250 kcal/day average.

  4. 4

    Compute energy availability: EA = (intake − exercise) / FFM.

    EA = (2,100 − 250) / 49.2 = 1,850 / 49.2 = 37.6 kcal/kg FFM/day.

  5. 5

    Classify. If <30 + amenorrhea or stress fractures, address before any performance work. If 30-45 + sub-optimal performance, increase intake 200-400 kcal/day for 2-4 weeks and re-assess.

    EA 37.6: suboptimal. Add 300 kcal/day (carbs + healthy fats), re-evaluate after 3 weeks. Expect: training quality up, menstrual regularity if disrupted.

Worked Example

Recreational runner (60 kg, 18% BF) training 5x/week, suspects under-fueling

Body mass

60 kg

Body fat %

18%

Fat-free mass

49.2 kg

Daily intake

2,100 kcal

Exercise energy

250 kcal/day avg

EA = (2,100 − 250) / 49.2 = 37.6 kcal/kg FFM/day Classification: 30-45 = SUBOPTIMAL

EA 37.6 indicates suboptimal energy availability. Symptoms to watch: irregular cycle, declining HRV, frequent illness, fatigue not relieved by rest, plateaued or declining performance. Intervention: increase daily intake 300 kcal (~75g carbs) for 4 weeks. Re-evaluate cycle regularity + training response. If symptoms persist or cycle disrupted (oligo/amenorrhea), refer to sports dietitian + GP — RED-S requires medical oversight.

Common Variations

Female Athlete Triad (Nattiv et al. 2007): pre-IOC framework focused on three components — energy availability, menstrual function, bone density. RED-S 2014/2018 expanded to include cardiovascular, immune, GI, psychological effects.
Mountjoy 2018 IOC consensus: refined the EA framework with the LEAF-Q screening tool. Practical implementation in clinical sports medicine.
Hormonal contraceptive use suppresses natural cycle. The Sims & Yeager 2016 review notes contraceptives mask RED-S menstrual signal — markers shift to bone density (DXA) and clinical symptoms.
Perimenopausal athletes (35-50): declining estradiol shifts substrate utilization toward higher fat oxidation; protein requirements may rise to 2.0-2.4 g/kg (Sims 2022). Training response slows; recovery extends.
Boyle 2024 review: low EA is more common than reported. ~25-44% of female endurance athletes screen positive on LEAF-Q. Standard population BMR formulas (Mifflin) systematically underestimate energy needs in lean female athletes by ~150-300 kcal/day.

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Sources & References

General fitness estimates — not medical advice. Consult a healthcare professional for medical decisions.