There are multiple Options to do that...
http://forum.yetanotherforum.net/yaf_topics6_YAF-General.aspx )
- In the User Control Panel under "Email Notification Preferences" a user can decide...
Turn off notifications - This Options turns off all Notifications and you won’t receive any emails.
Notification for all posts on all topics - You will receive Instant Email Notifications when someone has posted a new Message. (This needs to be enabled in the Host Settings before this Setting become visible)
Notification for topics you've posted to, watched or marked as favorite - You will receive Instant Email Notifications when someone has posted a new Message in a topic, you have posted before, a topic you watch, marked as favorite, or a forum.
Notification for topics or forums you've selectively watched (listed below) - You will receive Instant Email Notifications when someone has posted a new Message in a topic or forum you have selected to watch (See List Below).
Receive once daily digest/summary of activity? - If this Function is enabled you can turn this option on to get an Email with all new Activities about new topics and messages from current day as daily digest (summary) in one mail
In the Board Settings you can also define what the default setting is for new users.