Section 4 General Comments: The methods section is particularly tough to describe as you have to include both scientific knowledge and statistical knowledge. The methods could be improved by having a beginning paragraph about hte basic workflow you pursue. As is, the sections seem rather disjointed. Your equations are nicely spread out, and for ht emost part you describe the variables well. The order is good, but sections could transition more smoothly from one to another. One problem is that there are some run-on sentences. Specific comments: P. 7 4.1 Paragraph 1. This first sentence is confusing and does not easily communicate to what you are trying to do. It is also unclear where the power described in Equation 3 fits in to the rest. P. 7 4.1.1 Paragrah 2. This is a nice sentence that flows well and is explained succinctly. P. 8 Paragraph 1. Perhaps cite Eq (6). P.8 Paragraph 2. "The reason is..." This sentence is difficult to understand. Is there a missing verb? Is 'estimates' the verb? I would revise this sentence. P. 8 4.1.2 Last paragraph 'The variance is' -> "The variance of the periodogram is" P. 9 Paragraph 1. There is a tense shift in 'encountered.' The next sentence is a run-on and should be split in to too senetences. P. 9 Paragraph 2. Sentence 2. "We average the remaining windows to form our estimate. As long as the anomalies are relatively rare, we filter only a small number of windows. P9. "Thus when.." into two sentences.