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. 2019 Apr 23;14(4):e0201998. doi: 10.1371/journal.pone.0201998

Table 1. List of symbols and abbreviations in order of appearance in text.

Symbol Definition/description
G The genome of a single deme, expressed as a binary string of zeros and ones
N Number of genes in a genome. Typically at least several hundreds.
t, Δt Time and duration of a numerical time step
M Number of mutations occurring in the whole model per time step. Set to 4 per time step.
m Chance, per time step, that a mutation occurs in a particular deme
A Total number of populated demes in model
ND Number of individuals that populate one deme (Eqs 3 and 4)
T Number of generations per time step (Eq 3)
S Linear dimension of a deme (Eq 4)
m0 Mutation rate of a single individual
s Competitive advantage
D Parameter defining the chance, per time step, that an allele jumps from one deme to a neighbour (Eq 1).
α Assortative mating factor (Eq 1). Set to either 0 or 0.05.
ΔG Number of genes that have different alleles in two neighbouring demes (Eq 1)
D0 Reference diffusion coefficient (equals D when α = 0). Always set to unity here (Eqs 1 and 7).
p Advantage factor, defining the rate at which an allele "1" spreads at the cost of its counterpart "0" (Eqs 2,4,6 and 7). Varied from 0.0125 to 0.05 in Fig 1; set to 0.05 in other figures.
F "Fitness" of a genome: the sum of all alleles in one deme's genome (Eq 2).
ΔF "Fitness" difference between two neighbouring demes (Eq 2).
ρ Population density in number of individuals per km2 (Eq 4)
Amut Area in number of demes occupied by a mutation (a gene with the allele "1" instead of "0") (Eq 5)
req Radius of a circle with the same area as that occupied by a mutation (Amut) (Eqs 5 and 6)
v Spreading velocity of a mutation (Eq 5)
Lif Length of the perimeter of an area occupied by a mutation (Eq 6)
Pfix Mean chance of a mutation to reach fixation in whole model
Nfix Number of mutation that have reached fixation in whole model
tfix Mean time for a mutation to reach fixation in whole model
f Frequency of the occurrence of sweeps of a certain area (Eq 8)
An Normalised area of a sweep (number of swept demes/total number of populated demes in model) (Eq 8)
q Exponent in power-law distribution of sweep areas (Eq 8)