Any alternate logging system to reduce the load from a statistics module?

If your server has high load you may consider following approach:
1. Use logs of server (i.e. Apache) + awstats updated by cron.
2. run awstats to parse log on another server or nightly when no load.
3. Apache work slower with logging. I prefer to log only php,html - content, no jpg,css,js etc.
4. Why Apache? nginx works much faster. nginx + php-fpm + e-accelerator 2-3 times faster and don't use so much memory like apache.

eaccelerator.shm_size="16" - you may consider to add some memory here
eaccelerator.compress="1" - there is no need if you use gzip/deflate in apache.

http://groups.drupal.org/node/20631#comment-71798