prevalence
From LSJ
αἱ δὲ χολωσάμεναι πηρὸν θέσαν → but they in their wrath maimed him, but they in their wrath made him helpless, but they in their wrath made him blind
owing to the widespread prevalence of piracy: P. διὰ τὴν λῃστείαν ἐπὶ πολύ ἀντισχοῦσαν (Thuc. 1, 7).