In PartIweconsideredcontinuousinscalecascadeprocesseswhichwerespatiallycontinuous;these are neededformodelingmanygeofields.Inthissecondpartweconsidertheeffectsofspatial discretization;thisallowsustomakenumericalsimulations.Weshowhowtocorrectthesimulations for theleadingfinitesizeeffects,forbothspaceand(causal)space–timeprocesses.Theresulting processeshavesignificantlyimprovedsmallscalestatisticalproperties;inpracticeitcanleadtogreat savingsincomputertimeandmemoryusage.Inanappendixwegivea Mathematica code forthe correspondingspace–timesimulations.