I'm not positive about stagnant water in a drinking bowl, however there is a possibility of a dog contracting Giardia from stagnant/contaminated water from say a pond, or puddle. I wouldn't think it would be far fetched for them to get Giardia from a drinking bowl if it was stagnant and contaminated.
http://www.gather.com/viewArticle.js...81474977277273
http://www1.agric.gov.ab.ca/$department/deptdocs.nsf/all/agdex736
Bookmarks