(a) Fictional time series X_i, comprised of deterministic (D_i), stochastic (N_i), and a low-amplitude repeating signal (S_i) components. D_i and N_i range from 0.0 to 1.0, while S_i has an amplitude of 0.3. (b) F_i, a 21-point smooth (box-car running mean) of X_i. By subtracting F_i from X_i a high-pass filtered dataset A_i is produced. (c) A composite matrix of events from A_i, where rows = n, the number of repeating signals in S_i (a composite event), and columns = t, the number of days since the composite event. (d) C_t, the composite means of A_i, the SEM.