Open Access

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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