Table 1.
Comprehensive list of equations relating state variables describing life-stages of Phelipanche ramosa in PheraSys.
| Eq. | When | Process | Equation | Explication |
|---|---|---|---|---|
| [1] | During tillage | Seed movements | [SB’fd] = [stsfi].[SBid] | SB = viable seeds/m2 |
| stsfi = proportion of seeds moved during tillage from layer i to layer f in case of soil structure s | ||||
| [2] | Daily, ∀l | Seed mortality | If χld > χbase α = 0.0025 | α = daily seed mortality rate |
| Else α = 0.0005 | χld = soil water potential | |||
| χbase = base water potential of P. ramosa = - 2 MPa | ||||
| [3] | Daily, ∀l | Seed mortality | SB’ld = (1 - α) SBld | |
| [4] | Daily, ∀l | Pre-conditioning | If χld∊[- 2, - 0.02 MPa] and θld∊[10,25 °C] ndp++ | ndp = number of days the seeds spent in conditions favouring pre-conditioning |
| [5] | Daily, ∀l | Pre-conditioning | If ndp < ndpmax βld = ndp/ndpmax | βld = proportion of pre-conditioned seeds |
| If ndp∊[21,100 days] βld = 1 | ||||
| If ndp > 100 βld = 0 | ||||
| [6] | Daily, ∀l | Pre-conditioning | PSld = βld.SBld | PSld = preconditioned seeds/m2 |
| [7] | End of crop susceptibility period, ∀l | Germination |
|
χl = proportion of germinated seeds dmax = maximum stimulation distance from host root = 0.5 mm rdh, Nde, Rlde = root diameter, plant density and cumulated root length of host species h |
| [8] | End of crop susceptibility period, ∀l | Germination | Gl = χl PSld SB’ld = SBld − Gl | Gl= germinated seeds/m2 |
| [9] | End of crop susceptibility period | Fixation |
|
F = number of fixations/m2 |
| [10] | End of crop susceptibility period | Emergence |
|
pE = probability that a fixed parasite emerges |
| δ h = maximum number of parasite fixations per plant of host species h | ||||
| [11] | End of crop susceptibility period | Emergence |
|
P = parasite plants/m2 |
| [12] | Crop harvest | Seed production |
|
εh = parasite biomass per plant (g) on host species h |
| [13] | Crop harvest | Seed production | S = P·εh·ϕ | ϕ = viable parasite seeds per g biomass = 19,000 |
| [14] | Crop harvest | Seed rain | SB’0d = SB0d + S | |
l = soil layer (from 0 to 29), d = current day, s = soil structure class (fine earth, intermediate, compacted), h = host species, whether crop or weed. Variable names are explained at their first occurrence. A variable name V’ refers to variable V after the application of a process (ex. seed movements).
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