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. 2015 Mar 5;8(4):385–402. doi: 10.1111/eva.12251

Table 1.

Definitions of the main terms and parameters used in modelling

Symbols Description Value
(1) Spatial and temporal structure
 − Number of paddocks 52, 49, 51, 48 and 52
 − Number of wild patches 100
q Proportion of the agricultural landscape covered by the wild metapopulation 2.5%, 5% and 10%
N Number of years 50
Y Number of days in a year 360
T Number of days in a cropping season Between 60 and 300
(2) Crop and wild host dynamics
δc Crop growth rate 0.1
Kc Carrying capacity of cultivated patches Proportional to the paddock surface
S0,c Number of susceptible plants initiating the cropping season 10% of Kc
rw Wild host reproduction rate 1 by susceptible plant by day
Kw Carrying capacity of wild patches Proportional to the wild patch surface
dw Wild host death rate 0.1
distMw Wild host mean dispersal distance 10% of the landscape scale
(3) Pathogen population and evolutionary dynamics
β Shape of the trade-off function 0.6, 1 and 1.4
e Pathogen infection efficiency Varying according to the trade-off function. The maximal value for e is 0.4.
rP Pathogen reproduction rate 2 by infected plant by day
dI Infected plant death rate 0.1
m Pathogen mutation rate 0.002 towards the 2 adjacent genotypes and 0.004 for the fully specialized genotypes
distMP Pathogen mean dispersal distance 2.5%, 10% and 25% of the landscape scale