Extreme daily values of precipitation (1939–2021), discharge (1991–2021), phosphorus (P) load (1994–2021), and phycocyanin, a pigment of Cyanobacteria (June 1–September 15 of 2008–2021) are clustered as multi-day events for Lake Mendota, Wisconsin. Long-range dependence, or memory, is the shortest for precipitation and the longest for phycocyanin. Extremes are clustered for all variates and those of P load and phycocyanin are most strongly clustered. Extremes of P load are predictable from extremes of precipitation, and precipitation and P load are correlated with later concentrations of phycocyanin. However, time delays from 1 to 60 d were found between P load extremes and the next extreme phycocyanin event within the same year of observation. Although most of the lake’s P enters in extreme events, blooms of Cyanobacteria may be sustained by recycling and food web processes.

中文翻译：

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降水、磷负荷和蓝藻的长期依赖性和极值

降水量（1939-2021 年）、流量（1991-2021 年）、磷 (P) 负荷（1994-2021 年）和藻蓝蛋白（一种蓝藻色素，2008-2021 年 6 月 1 日至 9 月 15 日）的日极端值聚类为威斯康星州门多塔湖的多日活动。长程依赖或记忆对沉淀最短，对藻蓝蛋白最长。所有变量的极值都聚集在一起，P 负荷和藻蓝蛋白的极值聚集得最强烈。极端的 P 负荷可以从极端的降水量中预测出来，并且降水量和 P 负荷与后来的藻蓝蛋白浓度相关。然而，在同一年的观察中，P 负荷极端事件与下一个极端藻蓝蛋白事件之间存在 1 至 60 天的时间延迟。虽然大部分湖泊的P都是在极端事件中进入的，