Table 1 List of Parameters.

From: Evolution of periodicity in periodical cicadas

Term Unit Explanation
t Year Time step (year)
T °C Yearly ambient temperature (random)
T mean °C Average of yearly ambient temperature
τ Year Cycle (period) length
T thre °C Lower yearly temperature limit for positive growth
T thre-average °C Average of yearly temperature threshold is set to 19 and the variability is Tthre-average ± 2 with equal probabilities
T accume °C Sum of yearly accumulated temperature
T mature °C Amount of the accumulated temperature required for maturation (adult emergence)
ART Δ °C Average relative temperature = (Tmean − Tthre-average)
N c No. individuals Extinction threshold for adult populations set by the Allee effect
N n No. nymphs Population size of nymphal cicadas
N A No. Adults Population size of adult cicadas
b No. eggs/Adult Birth rate is set as b = 10
b p,suff No. eggs/Adult Birth rate of a periodical adult female with sufficient accumulated temperature (Taccume(τ) ≥ Tmature = 10)
b p,ins No. eggs/Adult Birth rate of a periodical adult female with insufficient accumulated temperature (Taccume(τ) < Tmature = 10)
DR(t) Probability Mortality rate at time t (probability)
k   Parameter of yearly nymphal mortality (DR(t))
λ   Parameter of yearly nymphal mortality (DR(t))