If a recommendation to fund is made, negotiations will follow if necessary. One of the best ways to construct a successful proposal is to read several that were funded. One way to obtain these might be to contact PIs that were funded and request a copy of theirs. A word on co-funding. Given the basic nature of our discipline, coupled with the increasingly interdisciplinary nature of research activities, many proposals could benefit from co-review with other programs in the foundation.
Some PIs fear that a co- review increases the chances for declination.
In practice the culture of the Foundation is such that it enhances the likelihood of funding. If two programs view a proposal as meritorious it decreases the cost to each. If one does not recommend funding the proposal, it generally does not negatively impact the considerations of the other. If you think that your research might be reviewed by more than one program, contact the program officer of physical anthropology to discuss the matter. Often co-review is sought even in the absence of PI involvement, but discussion may be desirable.