I assume web traffic is one of the factor for search result, but seriously, how does google know the traffic of a site? Does Google look at Alexa? Does Google use data from Google Analytics? Adsense? Hope any guru can share some lights.
Yeap , they crawl everything from you . Even you not using Google Analytics they also will have a brief report about your site . Nothing can hide behind Google. Traffic do not give huge influence in SERP. Maybe you need to look out more SEO to increase SERP.
First thing, traffic does not influence search results. Second, Google does not use Google analytics. In fact it provides you a tracking code which enables Google to create a report regarding traffic stats. If you don't have traffic code, Google cannot track your visitors.