Algal growth at equilibrium is not sustainable in a river or lake experiencing point or non鄄point source pollution, which is likely to change with season, location, and human activity. Chlorophyll a, as a common indictor, is an important reference point for water resource management. It can be affected by the biodiversity of species, as a result of their oscillations, and chaotic fluctuations. Algal growth has many highly nonlinear characteristics. The characteristics that differ among species, however, are all susceptible to change under external disturbance. It is difficult to provide a comprehensive and detailed description of nonlinear algal growth. Variations in chlorophyll a tend to maintain certain regularity; for example, seasonal variation and the 24 hour cycle, which also display self鄄similarity. However, it is difficult to observe similar variations at different times from the studied sampling series. These features are similar to aspects of chaotic motion, such as boundedness, ergodicity, and inherent randomness. The sampling of the indictor chlorophyll a is typically performed on an hourly, weekly, or even monthly basis. With higher sampling frequency, the sampling series of chlorophyll a in the field becomes more unstable and appears to be more chaotic. Therefore, this paper aims to study the variations in a chlorophyll a series sampled from the field, rather than constructing a theoretical model to recapitulate the field data. While
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