Urban morphology parameters towards multi-risk scenarios for squares in the historical centers: Analyses and definition of square typologies and application to the Italian context

•Historical squares are prone to multi-risks depending on their physical features.•A methodology for defining physical features relevant for multi-risks is proposed.•Physical features of squares are quantitatively identified into parameters.•Identified parameters are tested on case studies for further detailing and testing.•Parameters describe squares typologies performance to multi-risks scenarios.