Additional file 2 Table S2 Elements and equations of the allocation, acquisition and utilization sub-models

Symbol / Definition / Equation (or event relation) / Equation nb
Allocation sub-model
/ Priority transfer from growth to survival / / E1
/ Priority transfer from current progeny to survival / / E2
/ Priority transfer from survival to future progeny / / E3a
/ Priority transfer from survival to current progeny / / E4
/ Allocation to growth (proportion of ME acquired) / / E5
/ Allocation to somatic functions (proportion of ME acquired) / / E6
/ Allocation to future progeny (proportion of ME acquired) / / E7
/ Allocation to current progeny (proportion of ME acquired) / / E8
/ Sub-compartment of allocation to somatic functions / / E9
/ Sub-compartment of allocation to somatic functions / / E10
Acquisition sub-model
/ Total acquisition of DM (kg/day) / / E11
/ Basal acquisition of DM (kg/day) / / E12
/ Lactation acquisition of DM (kg) / / E13
/ Maximum DM intake reached during lactation (kg) / / E14b
/ Dynamic change of acquisition during lactation (dimensionless) / / E15b
/ ME acquired (MJ/day) / / E16
/ Metabolizability of the nutritional resource (MJ NE/MJ ME) / / E17c
/ Gross energy density of the nutritional resource (MJ/kg) / / E18
/ Proportion of fibers in the diet (kg NDF/kg DM) / / E19
/ Proportion of concentrate feedstuff in the diet (kg CO/kg DM) / / E20
Utilization sub-model
/ ME for growth( MJ/day) / / E21
/ ME for gestation (MJ/day) / / E22
/ ME for milk production (MJ/day) / / E23
/ ME for somatic functions (MJ/day) / / E24
/ ME requirement for maintenance (MJ/day) / / E25
/ Variation in energy balance (MJ/day) / / E26
/ ME for body reserves repletion (MJ/day) / / E27
/ ME from body reserves mobilization (MJ/day) / / E28
/ ME for maintenance (MJ/day) / / E29
/ Deficit of maintenance requirement coverage (proportion) / / E30
/ Accumulation of deficit to cover maintenance requirements / / E31
/ Labile mass repleted (kg/day) / / E32
/ Labile mass mobilization (kg/day) / / E33
/ Structural mass gain (kg/day) / / E34
/ Uterus mass (kg) / / E35
/ Labile mass (kg) / / E36
/ Structural mass (kg) / / E37
/ Digestive contents (kg) / / E38d
/ Total body mass (kg) / / E39
/ Milk production (kg/day) / / E40
/ Energy value of maintenance (MJ/kg metabolic mass) / / E41e
/ Energy value for the gain of 1 kg of structural mass (MJ/kg) / / E42f
/ Efficiency of conversion ME to NE for the gain of 1 kg of structural mass / / E43f
/ Empty body fat (kg) / / E44g
/ Body condition score / / E45g
/ Probability of conception / / E46h
/ Modulation of probability of conception depending on BCS / / E47h
/ Modulation of probability of conception depending on energy balance / / E48h
/ Modulation of probability of conception depending on milk production / / E49h
/ Survival probability* / / E50
Boolean variables, counters and timers
/ Living status of the female /
/ Culling status of the female /
/ Gestating status of the female /
/ Lactating status of the female /
/ Energy balance status of the female / / E51
/ Number of gestation /
/ Number of lactation /
/ Gestation time (days) /
/ Lactation time (days) /
/ Age at the next oestrus (days) /
/ Age at last parturition (days) /

aAdditional file 5 Section ”Calibration of the proportion of energy allocated to gestation, representing allocation for future progeny AllocPf”

bAdditional file 5 Section ”Effects of parity on lactation acquisition”

c[16]

d[28]

eAdditional file 5 Section ”Age dependence of the energetic value for maintenance EV_Mnt”

fAdditional file 5 Section”Effect of the degree of maturity during growth on the energetic value of structural mass gain and growth function efficiency”

g[18,19]

h[17]

1