Show WordPress "authors" only the comments on their posts

functions.php

<?php

/**
 * Clone of wp_count_comments from WP4.2.
 */
function myblogs_count_comments( $post_id = 0 ) {
    global $wpdb;
    $post_id = (int) $post_id;
    /**
     * Filter the comments count for a given post.
     *
     * @since 2.7.0
     *
     * @param array $count   An empty array.
     * @param int   $post_id The post ID.
     */
    if ( !empty($stats) )
            return $stats;
    $count = wp_cache_get("comments-{$post_id}", 'counts');
    if ( false !== $count )
            return $count;
    $where = '';
    if ( $post_id > 0 )
            $where = $wpdb->prepare( "WHERE comment_post_ID = %d", $post_id );
    $count = $wpdb->get_results( "SELECT comment_approved, COUNT( * ) AS num_comments FROM {$wpdb->comments} {$where} GROUP BY comment_approved", ARRAY_A );
    $total = 0;
    $approved = array('0' => 'moderated', '1' => 'approved', 'spam' => 'spam', 'trash' => 'trash', 'post-trashed' => 'post-trashed');
    foreach ( (array) $count as $row ) {
            // Don't count post-trashed toward totals
            if ( 'post-trashed' != $row['comment_approved'] && 'trash' != $row['comment_approved'] )
                    $total += $row['num_comments'];
            if ( isset( $approved[$row['comment_approved']] ) )
                    $stats[$approved[$row['comment_approved']]] = $row['num_comments'];
    }
    $stats['total_comments'] = $total;
    foreach ( $approved as $key ) {
            if ( empty($stats[$key]) )
                    $stats[$key] = 0;
    }
    $stats = (object) $stats;
    wp_cache_set("comments-{$post_id}", $stats, 'counts');
    return $stats;
}
/**
 * In WP Admin filter wp_count_coments so it shows current users comments only
 * Runs only for the Author role.
 */
add_filter('wp_count_comments','myblogs_comments_count');
function myblogs_comments_count() {
	global $pagenow;

	if(is_admin() && !current_user_can( 'edit_others_posts' )){

  		global $user_ID;
		get_currentuserinfo();


		if ( false === ( $stats = get_transient( 'myblogs_author'.$user_ID.'_comments' ) ) ) {

			$stats = array('moderated'=>0,'approved'=>0,'post-trashed'=>0,'trash'=>0,'total_comments'=>0,'spam'=>0);

			$the_query = new WP_Query( array('author' => $user_ID,'posts_per_page' => -1) );
			if ( $the_query->have_posts() ) : while ( $the_query->have_posts() ) : $the_query->the_post();
					$comments = myblogs_count_comments(get_the_id());
					$stats['moderated'] = $stats['moderated'] + $comments->moderated;
					$stats['approved'] = $stats['approved'] + $comments->approved;
					$stats['post-trashed'] = $stats['post-trashed'] + $comments->{'post-trashed'};
					$stats['trash'] = $stats['trash'] + $comments->trash;
					$stats['total_comments'] = $stats['total_comments'] + $comments->total_comments;
					$stats['spam'] = $stats['spam'] + $comments->spam;
				endwhile;
			endif;
			wp_reset_postdata();

			set_transient( 'myblogs_author'.$user_ID.'_comments', $stats, 60 * 30 );
		}
		return (object) $stats;
	}
}
/**
 * In WP Admin filter Edit-Comments.php so it shows current users comments only
 * Runs only for the Author role.
 */
add_filter('pre_get_comments','myblogs_user_comments_only');
function myblogs_user_comments_only($query){
    global $pagenow;
    if('edit-comments.php' != $pagenow || $query->is_admin)
        return $query;

    if( !current_user_can( 'edit_others_posts' ) ) {
        global $user_ID;
        $query->query_vars['post_author'] = $user_ID;
    }
    return $query;
}