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 |