MrManager, how unhelpful.
We don't know the full story. It sounds as though he chooses to have minimal contact - else why would OP be fed up about it?
I think there can often be a conflict in these circumstances.
There is resentment about the absent parent not doing enough, then when they do make an appearance this resentment has to be dealt with. No one wants to see someone they hate - even if they hate them for not being around enough.
OP, I think you might benefit from some counselling - it took me several years from being in your position, and I did cut contact for a few weeks, and after that my child's father refused to continue with it...he kept putting it off and eventually it became clear it wasn't going to happen.
However after an initial period of maybe a year or two when I was living out my anger at him, my fury for his deserting us, I started to realise I was grateful that he had gone - I had hated the awful atmosphere and pain of contact, because I still loved and wanted him in our lives. I hated him being around because I was so hurt and angry - on behalf of ds as well as myself. It was a struggle to cope, but once I let go of the resentment and started to work on myself, and had some therapy, and looked at why we had broken up - and our faults and how they had manifested - I could see it from his side as well. I realised being alone quite suited my own needs.
The real catalyst to happiness though was meeting him again after several years and finding that we could talk and be friends - I apologised for my part in it, I told him I understood why he had gone. There was crying and hugging and acceptance. And that was major, that I finally got why he had done it. We began to meet regularly, he has decided to be involved again, and we are seeing each other as well in a casual sort of way.
I feel so happy, that finally we are being parents to our child and getting on in a way we all want. I could never have been like this a few years ago, but I have changed, and so has he a bit (without the counselling!) but the main thing is we sorted it out between us.
I don't think this would be possible if we hadn't been so close originally. there are people I don't think I could ever be friendly with again, or agree with about children - but if you can, then do it. It's so worth it.
Fwiw from someone who is 3 hours away, keeping regular contact like he does plus the emails sounds a lot more committed to your daughter than a lot of dads are to their kids. Try and organise your own feelings, maybe write them down, figure out why you are angry. It will help you I think.