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Table 1

Input parameters.

Parameter Value Unit Reference

Solar activity Reference cycle Solar cycle 23
cycle length 12.5 [year]
Time step 1 [day]
Time step random dispersion 4 [hour]
Wolf number normalization n0 = 1.32
n1 = 0.148
Wolf number random dispersion d0 = 6.922
d1 = 0.7594
d2 = 0.00348

Spatio-temporal Mean start latitude ± 22 [°]
distribution Mean end latitude ± 9 [°]
Standard lat. dispersion 6 [°]
Max. lat. dispersion 20 [°]
North/south asymmetry 0.5
Active longitude spot fraction 0.4
Active longitude extension area ± 20 [°]

Large scale dynamics Spot differential rotation ω0 = 14.523 [°/day] Ward (1966)
ω1 = −2.688 [°/day] This paper
ω2 = 0 [°/day] This paper
Facula and network ωb0 = 14.562 [°/day] Meunier (2005)
differential rotation ωb1 = −2.04 [°/day] This paper
ωb2 = −1.49 [°/day] This paper
Meridional flow, all structures α = 12.9 [m s-1] Komm et al. (1993)
β = 1.4 [m s-1] This paper
Stellar radius 1 R = 696 400 [km]

Spots properties
Isolated spots

Total fraction 0.4 Martinez Pillet et al. (1993)
Mean initial size 46.51a [μHem] Baumann & Solanki (2005)b
Standard size deviation 2.14 [μHem] This paper
Max. size 1500 [μHem] Papers I and II
Mean decay 18.9 [μHem/day] Martinez Pillet et al. (1993)c
Median decay 14.8 [μHem/day] This paper

Complex spot groups

Total fraction 0.6 Martinez Pillet et al. (1993)
Mean initial size 90.24a [μHem] Baumann & Solanki (2005)d
Standard size deviation 2.49 [μHem] This paper
Max. size 5000 [μHem] Papers I and II
Mean decay 41.3 [μHem/day] Martinez Pillet et al. (1993)e
Median decay 30.9 [μHem/day] This paper

Both spot types

Min. decay value 3 [μHem/day]
Max. decay value 200 [μHem/day]
Min. spot size 10 [μHem] Papers I and II

Faculae properties q (facula-to-spot ratio)
Mean log(q) 0.8
Standard deviation (log(q)) 0.4
Min.- Max. log(q) 0.1–5
Mean decay 27 [μHem/day]
Median decay 20 [μHem/day]
Min. facula size 3 [μHem] Papers I and II

Network properties Diffusion coefficient 300 [km2 s-1] Schrijver (2001)
Remainder fraction for decay 0.975 [ /day]
Min. size 3 [μHem] Papers I and II
Facula fraction recovered in network 0.8

Notes. Free parameters are given in italics.

(a)

For these two parameters, the value taken from Baumann & Solanki (2005) was multiplied by a factor 1.54 to better fit the spot catalogs used in Papers I and II.

(b)

See the Table 1 of the paper, total area of single spots, snapshot method.

(c)

Table 3, standard cycle.

(d)

Table 1, total area, snapshot method.

(e)

Table 1, standard cycle.

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