Karen hopes to correlate specific layers in the alluvial fans to find if hillslope erosion is regionally synchronous. Karen's proposal clearly and succinctly covers all the necessary parts of a proposal. The abstract is short and descriptive and the last two sentences spell out what she will research and what the conclusions will used for. The remaining sections are complete and I especially liked the expected outcomes section. Providing a set of expected outcomes shows that you have a good idea what your going to find and that you are already thinking about your research.
Figures complement the proposal and do a good job of summarizing previous work of others.
Beyond this question, which can probably be answered with a short paragraph, and a few specific comments this proposal should have no problem being accepted by the faculty. The sediment layers corresponding to deforestation seem to be a large part of both you research and the previous work. Maybe word this as 'reduces soil cohesion' instead. The figure 5 caption does not really flow with the text.