Table 1: Parameter study: effect of changing the $c_{{\rm e}}$ and $t_{{\rm e}}$ values on the flux emergence rate. Case A corresponds to third row, case B to the third column, while case C corresponds to the main diagonal of the table and case D to the off-diagonal.
$\Delta t=$ $10\;$ min $30\;$ min $90\;$ min

-1 $3.67\times10^{19}\;$ Mx/s $1.10\times10^{20}\;$ Mx/s $3.30\times10^{20}\;$ Mx/s

$c_{\rm e}=$ -3 $1.22\times10^{19}\;$ Mx/s $3.67\times10^{19}\;$ Mx/s $1.10\times10^{20}\;$ Mx/s

-9 $4.07\times10^{18}\;$ Mx/s $1.22\times10^{19}\;$ Mx/s $3.67\times10^{19}\;$ Mx/s

**Table 1:** Parameter study: effect of changing the $c_{{\rm e}}$ and $t_{{\rm e}}$ values on the flux emergence rate. Case A corresponds to third row, case B to the third column, while case C corresponds to the main diagonal of the table and case D to the off-diagonal.
		$\Delta t=$	$10\;$ min	$30\;$ min	$90\;$ min
	-1		$3.67\times10^{19}\;$ Mx/s	$1.10\times10^{20}\;$ Mx/s	$3.30\times10^{20}\;$ Mx/s
$c_{\rm e}=$	-3		$1.22\times10^{19}\;$ Mx/s	$3.67\times10^{19}\;$ Mx/s	$1.10\times10^{20}\;$ Mx/s
	-9		$4.07\times10^{18}\;$ Mx/s	$1.22\times10^{19}\;$ Mx/s	$3.67\times10^{19}\;$ Mx/s

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