This should do it:
$querystr = "SELECT comment_count, ID, post_title
FROM $wpdb->posts wposts, $wpdb->comments wcomments
WHERE wposts.ID = wcomments.comment_post_ID
AND wposts.post_status="publish"
AND wcomments.comment_approved='1'
AND wcomments.comment_date > DATE_SUB(CURRENT_TIMESTAMP, INTERVAL 1 YEAR)
GROUP BY wposts.ID
ORDER BY comment_count DESC
LIMIT 0 , 10
";