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. 2023 Mar 29;14:1069092. doi: 10.3389/fpls.2023.1069092

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
a

0 to 1 refers to a dimensionless, continuous variable.

b

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).