Table 1.
List of variables, rates, and parameters used in the model, and their units.
| Acronym | Description | Unit |
|---|---|---|
| State variables | ||
| H | Healthy sites | 0 to 1 a |
| I | Infectious sites, where visible lesions produce conidia | 0 to 1 |
| L | Latent sites, where disease symptoms are not visible | 0 to 1 |
| R | Removed sites, where visible lesions are old and non-sporulating | 0 to 1 |
| V | Visible sites, where lesions are visible, but non-sporulating yet | 0 to 1 |
| Rate variables | ||
| DISR | Rate of dispersal of conidia | 0 to 1 |
| INFR | Rate of infection by conidia | 0 to 1 |
| INCR | Rate of incubation | 0 to 1 |
| LATR | Rate of latency | 0 to 1 |
| REMR | Rate of removal | 0 to 1 |
| SPOR’ | Rate of conidia production on primary inoculum sources | 0 to 1 |
| SPOR” | Rate of conidia production on secondary inoculum sources | 0 to 1 |
| Parameters | ||
| i | Duration of infectious period in optimum conditions | N hours |
| IPmin | Minimum length of the incubation period | N hours |
| k | Abundance of primary inoculum sources | 0 to 1 |
| LPmin | Minimum length of the latency period | N hours |
| p | Duration of latency period in optimum conditions | N hours |
| r | Apparent infection rate | N |
| RcOPT | Optimum Rc value | N |
| Auxillary variables | ||
| CON | Abundancy of conidia, i.e., CON = CON’ + CON” | N |
| CON’ | Abundancy of conidia on primary inoculum sources | N |
| CON” | Abundancy of conidia on secondary inoculum sources | N |
| HS | Susceptibility of the host plant | 0/1 b |
| IP | Incubation period | N |
| iP | Infectious period | N |
| LP | Latency period | N |
| Computed variables | ||
| CF | Correction factor for diseased sites | 0 to 1 |
| D | Diseased sites, i.e., D = L + V + I + R | 0 to 1 |
| DS | Disease severity | 0 to 1 |
| pi | Hourly progress of IP depending on temperature | N |
| pl | Hourly progress of LP depending on temperature | N |
| Rc | Basic infection rate corrected for the removal | N |
| External variables | ||
| GS | Growth stage of the plant based on the BBCH scale | – |
| P | Hourly rainfall | mm |
| T | Hourly air temperature | °C |
| Teq | Equivalent of temperature | 0 to 1 |
| Tmax | Maximum temperature for sporulation | °C |
| Tmin | Minimum temperature for sporulation | °C |
| VPD | Vapor pressure deficit | hPa |
| WD | Duration of a wet period | N hour |
| Driving functions | ||
| f1(P) | Equation for the effect of rainfall on conidial dispersal and deposition on host tissues | 0 to 1 |
| f2(P) | Equation for the effect of rainfall on the wash-off of conidia from host tissues | 0 to 1 |
| f(T) | Equation for the effect of temperature on sporulation, or incubation or latency | 0 to 1 |
| f(WD) | Equation for the effect of wetness duration on sporulation, or conidial infection | |
| f’(WD) | First derivative of the equation for the effect of wetness duration on sporulation | 0 to 1 |
| RcT | Rc modifier for temperature | 0 to 1 |
| RcWD | Rc modifier for wetness duration | 0 to 1 |
0 to 1 refers to a dimensionless, continuous variable.
0/1 refers to a dimensionless, binomial variable (i.e., 0 = the host is not susceptible to infection; 1 = the host is susceptible to infection).