I have been using adwords for a keyword that was very high performing. I would always be in the top center of sponsored search results. I also ranked well for the keyword organically, getting the third spot in the serps. Well recently, I let my adwords run out and so adds stopped displaying on the keyword. The CTR of my of my organic ranking went up to 22% and I went from third place to first place beating a page with much higher page rank then my own. over all traffic from the keyword decreased. However since not displaying adds my conversion rate increased.
unless it is in coincidence, you are saying that Google motivates people to spend more on adwords by giving them more natural traffic when they do that?
Its not relating to you pagerank Google ads shows sometimes according to the bids advertisers set for that keyword. Sometimes an advertiser set higher bid for that keyword and sometimes you have set higher and your ads will be displayed higher.
No, you are wrong CTR could not have any effect on page rank.CTR , adwards, traffic are separate things how could you co-relate with page rank?
PageRank has nothing to do with CTR. PageRank is strictly from backlinks. I think you might like PageRank Facts and Myths because it explains some of the reasons people get mixed up. There was an "SEO expert" saying content affects pagerank
While I agree with previous posters that PageRank largely depends on the number of backlinks a page has, I sometimes think Google only assigned a non-0 PR if a page gets clicked on in the SERPs. For example, on many of my sites many of my internal pages have the same number of incoming links but on average only those pages which are decent landing pages, and get clicked on in SERPs, have a non-0 PR.
Traffic isn't causing the PR. PR is symptomatic of the score in the index that is causing the traffic.