Exemplary methods of producing a semiconductor substrate may include characterizing a substrate pattern to identify a zonal distribution of a plurality of vias and a height and a radius of each via of the plurality of vias. The methods may include determining a fill rate for each via within the zonal distribution of the plurality of vias. The methods may include modifying a die pattern to adjust via fill rates between two zones of vias. The methods may also include producing a substrate according to the die pattern.