I know it's not automatic, because if the father is abusive or extremely disruptive to the child, you could perhaps get the court to not allow them. I know cases where the father pays support and would like rights, but is not allowed them because of past abusive behavior while an alcoholic. However, if that is not the case, and the father would like to develop a relationship with his child, I suggest that you encourage it. I have raised seven children, and four of them were adopted/foster children. My mother came from a broken marriage, and I have a grandson who does also, and a foster grandson. I will tell you that all of them pined in some way or another for the absent parent or parents. When the parent is not involved, the child thinks that something is wrong with him or her, that they are the cause -- not worthy of the love of the absent parent. Although a long distance relationship is not the ideal one, it can at least show love and caring, and provide some proof to the child that he or she is wanted by both parents. However, it is important if the father wants rights, that he be counseled that it is important to be steady in the relationship and not break promises. In other words, if you promise to come, then be there!
I hope this is of some help.
S. Toji