I've attached a link below to an article written for the USGA outlining some of the issues courses run into when allowing play during the winter. It's short, concise article that I think explains the detriments of play very well. Hope everyone is enjoying the brief warm up this week, Spring is right around the corner.
http://www.usga.org/content/usga/home-page/course-care/regional-updates/northeast-region/2018/should-we-do-it-.html