Table 1.

Legend of Notation

	Notation	Description	Estimation	Units
Energy Balance Terms	R	Rate of energy accretion	N/A	kcal/day
	I	Rate of energy intake	Time averaged estimate	kcals/day
	E	Rate of energy expended	N/A	kcals/day
	DIT	Dietary induced thermogenesis	N/A	kcals/day
	PA	Volitional activity	N/A	kcals/day
	RMR	Resting energy requirements	Livingston-Kohlstadt	kcals/day
	NEAT	Non-exercise activity thermogenesis	N/A	kcals/day
State Variables	F(t)	Fat mass on day t	N/A	kg
	FFM(t)	Fat free mass on day t	FFM = α1F + b	kg
	W	Total body mass	W=FFM+F	kg
Parameters	G	Time averaged kcals of glucose	N/A	kcal
	f	Proportion of FFM(t) of muscle tissue available	0.30 ≤ f ≤ 0.50	N/A
	cl	Caloric value of kg of fat free mass	955.384	kcals/kg
	cf	Caloric value of kg of fat mass	7165	kcals/kg
	β	DIT = βI	0.04 ≤ β ≤ 1.14	N/A
	m	Proportion of body mass related to PA	N/A	kcals/kg/d
	aF, aM	Body mass proportionality	aF = 248, aM = 293,	N/A
		constant in Livingston-Kohlstadt
	pF, pM	Exponent of body mass in Livingston-Kohlstadt	pF = 0.4356, pM = 0.4330	N/A
	yF, yM	Proportion age decrease to RMR in Livingston-Kohlstadt	yF = 5.09, yM = 5.92	N/A
	A0	Initial Age	A0 > 0	years
	A	Age	A = A0 + t/365	days
	a	Percent of metabolic adaptation	0 ≤ a ≤ 1	N/A
	e	Efficiency of depositing stored energy	Male: e = 0.82 Female: e = .83	N/A N/A
	α1	Slope of linear relationship between FFM and F	Male: aα1 = 0.56 Female: α1 = 0.32	N/A N/A
	b	y-intercept of linear relationship between FFM and F	b > 0, baseline data	kg
	α	W = αF + b	α = α1 + 1	N/A
	r	Proportion change in NEAT to change in E	r = 2/3