Complexity-based approach for El Nino magnitude forecasting before the spring predictability barrier
<p>The El Ni&#241;o Southern Oscillation (ENSO) is one of the most prominent interannual climate phenomena. Early and reliable ENSO forecasting remains a crucial goal, due to its serious implications for economy, society, and ecosystem. Despite the development of various dynamical and statistical prediction models in the recent decades, the &#8220;spring predictability barrier&#8221; remains a great challenge for long-lead-time (over 6 mo) forecasting. To overcome this barrier, here we develop an analysis tool, System Sample Entropy(SysSampEn), to measure the complexity (disorder) of the system composed of temperature anomaly time series in the Ni&#241;o 3.4 region. When applying this tool to several near-surface air temperature and sea surface temperature datasets, we find that in all datasets a strong positive correlation exists between the magnitude of El Ni&#241;o and the previous calendar year&#8217;s SysSampEn(complexity). We show that this correlation allows us to forecast the magnitude of an El Ni&#241;o with a prediction horizon of 1 y and high accuracy (i.e., root-mean-square error=0.25<sup>&#9702;</sup>C for the average of the individual datasets forecasts). For the recent two 2018 and 2019 El Ni&#241;o events, our method forecasted weak El Ni&#241;os with magnitudes of 1.11&#177;0.23<sup>&#9702;</sup>C and 0.69&#177;0.25<sup>&#9702;</sup>C, both within one root-mean-square error comparing to the observed magnitudes, i.e. 0.9<sup>&#9702;</sup>C and 0.6<sup>&#9702;</sup>C. Our framework presented here not only facilitates long-term forecasting of the El&#160;Ni&#241;o magnitude but can potentially also be used as a measure for the complexity of other natural or engineering complex systems.</p>