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GENERATING STREAMFLOW SEQUENCES WITH TREND AND CYCLICAL MOVEMENTS1
Authors:Sun-Fu Shih
Abstract:ABSTRACT: A first-order autoregressive model had been modified with the trend and cyclical movements to generate the streamflow sequences. Three main portions were involved in this modified model, i.e., six-year cycle with trend changing; six-year cycle without trend changing; and both annual and six-year cycles with trend changing. The synthetic sequences of monthly streamflow sequences were compared with the historical records obtained from the Kissimmee River basin by using the Chi-Square test for goodness-of-fit. The results indicated that the newly proposed model has a better solution than the original model because the trend and cyclical movements involved in generating sequences are much closer to the historical records.
Keywords:trend movement: polynomial  asymptotic expansions  moving averages  cyc1ical movement  moving trend  Fourier series  normal distrihution  synthetic strcamflow  Chi-Square test
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