. 2015 Jul 6;10(7):e0130966. doi: 10.1371/journal.pone.0130966

Table 1. Variables used in honey bee model.

$a_{i}^{e}, a_{i}^{b}, a_{i}$	Maturation terms to account for pheromones
B ₀	Seasonally adjusted egg laying rate of queen
B _i	Number of bees that are i days old
C _egg, C _larvae, C _pupae, C _hive, C _forager	Daily consumption rates of bee class in grams
d _i	Larvae deaths per day
D	Food deficit quantity
E	Number of eggs
E ₀	Daily egg laying rate of queen bee
f	Food reserves in the colony (grams)
f _d	Daily food requirement of colony (grams)
f _a, f _i	Available food (grams), Inaccessible food (grams)
f _L, f _H, f _F	Daily food requirement for larvae, hive and forager castes (grams)
F	Number of foraging bees
h ^e, h ^b	Terms used in computing $a_{i}^{e}$ and $a_{i}^{b}$
H	Number of hive bees
i	Denotes the age of bee in days
L	Number of larvae
n _egg, n _larvae, n _pupae, n _hive, n _forager	Number of days spent within each bee class
n _a	Parameter used to determine how many days are subject to acceleration
N	Number of nursing bees
p	Number of grams of pollen collected by one foraging bee in one day
P	Number of pupae
Q	Number of processors
r	$(R_{L}^{H}) / {(R_{L}^{H})}_{h e a l t h y}$ or $(R_{L}^{N}) / {(R_{L}^{N})}_{h e a l t h y}$
$R_{L}^{H}$ , ${(R_{L}^{H})}_{h e a l t h y}$	Ratio and healthy ratio of number of hive bees to larvae
$R_{L}^{N}$ , ${(R_{L}^{N})}_{h e a l t h y}$	Ratio and healthy ratio of number of nursing bees to larvae
$R_{F}^{H}$ , ${(R_{F}^{H})}_{h e a l t h y}$	Ratio and healthy ratio of number of hive to foraging bees
$R_{F}^{Q}$ , ${(R_{F}^{Q})}_{h e a l t h y}$	Ratio and healthy ratio of number of processors to foraging bees
S _egg, S _larvae, S _pupae, S _hive, S _forager	Survival rate within each bee caste in steady state model
S _i	Survival rate of bee classes in temporal model
S _L, S _H, S _F	Factors that reduce survival rate due to food scarcity
$S_{l a r v a e}^{r e d u c e}$	Reduced larvae survival rate due to insufficient hive bees
$s (t), \tilde{s} (t)$	Seasonal effect which modifies egg laying rate and foraging rate p
t	Time (in units of days)
T	Total number of bees in colony T = E + L + P + H + F
w _i	Weight of larvae that are i days old
x ₁, x ₂, x ₃, x ₄, x ₅	Parameters used in computing seasonal terms $s (t), \tilde{s} (t)$
△t	Time step
γ _L	Factor which determines nutritional value of cannibalized larvae
ξ	Factor to promote early maturation of hive bees during food scarcity