I don't think I'm a healthy example of family communication.

I haven't spoken to my dad since January. I started wondering why I make the effort to keep up a relationship with him when he has abused me in so many ways and caused me so much damage. I thought we were both putting equal work into the relationship until I stopped calling him. I haven't heard from him at all, not once. My mum texts and emails me quite a lot, but we don't see each other very often. Even though my parents live in the same town as me. (They visit my brother all the time though.)

I see my brother when I can but he lives quite far away. And the rest of my family either don't speak to me or live abroad and email once in a blue moon.

It sounds like you need to set some boundaries with some of your relatives. What if you made a point of contacting them for a weekly or monthly phone call or something like that so they don't keep fretting over when you'll be in touch?