To track bot activity, you need to use analytic software that analysis your log files. There are other methods, including writing your own database script to track all bot activity.Created a script that looked for bot activity and stored the data in a MySQL database. I forgot the name of the software, but I bet it is still out there now or there are plenty of alternatives.
If you don't want to instal anything but you still want to track bot activity, there are ways.
In Google Webmaster Tools, you can go to the "Crawl Stats" section under "Statistics" and get data from Google on how active GoogleBot is on your site. Google will show you data and time based graphs for:
- Number of pages crawled per day
- Number of kilobytes downloaded per day
- Time spent downloading a page (in milliseconds)