风险减量视角下的天气指数保险设计研究—基于序贯残差学习算法

The design of weather index insurance from a risk reduction perspective: Based on sequential residual learning algorithm

  • 摘要: 基于风险减量目标,设计具备全生育期动态赔付特点的天气指数保险产品,使其能在作物生长各阶段及时响应不利天气条件的影响,快速赔付,将保险赔款转化为防灾减损费用,支持和促进农户主动减轻风险。基于1990—2022年冬小麦主要种植区—冀鲁豫(河北、山东、河南)3省县级产量数据以及气象资料,借鉴梯度提升算法中残差学习的思想,将冬小麦全生育期分为5个阶段,选取气温、降水量、风速等16个气象指标,使用随机森林-序贯方法,在每个作物生育阶段都做一次损失预测,除第1阶段外,其他各阶段均以前一阶段的拟合残差为目标建立产量损失预测模型,每个阶段只要预测损失超过一定的阈值即予以赔付。影响冬小麦产量的重要气象因子较多,且与生育阶段有关,也与气象因素的强度和持久度有关,单一指标或单一生长期很难评估最后的产量损失。采用随机森林-序贯方法在样本外测试有较好的效果,能较好地捕捉天气与产量的复杂关系,优于多元线性回归方法和非序贯的随机森林方法,特别是对大产量损失有较好的预测能力。当发生相对较大的产量损失时,随机森林-序贯方法设计的产品能给出有效补偿。但是该产品仍然存在一定程度的基差,特别是无损失或损失较小时可能有较大赔付。基于序贯残差学习的算法能较好地预测产量损失,同时这种按作物生育阶段逐段评估风险的方式能保证快速赔付,实现在作物生长前、中期及时支持农户防灾减损。

     

    Abstract: This study aims to design a weather index insurance product featuring dynamic payout throughout the entire growth cycle of crops. The product is intended to respond promptly to adverse weather conditions at different growth stages, provide rapid compensation, and convert insurance payouts into funds for disaster prevention and loss reduction. This approach supports and encourages farmers to take proactive measures in mitigating risks. Using county-level yield data of winter wheat from Hebei, Shandong, and Henan provinces (1990—2022) along with meteorological data, this study leverages the concept of residual learning from gradient boosting algorithms. The entire growth period of winter wheat is divided into five stages, and 16 meteorological indicators—such as temperature, precipitation, and wind speed are selected. A random forest-sequential method is employed to predict yield loss at each growth stage. Starting from the second stage, the residual from the previous stage's prediction is used as the target variable for modeling. Payouts are triggered whenever the predicted loss at any stage exceeds a predefined threshold. Multiple meteorological factors are found to influence winter wheat yield, with their impacts varying by growth stage and depending on the intensity and duration of weather conditions. Relying on a single indicator or a single growth stage is proved to be insufficient for accurately assessing final yield loss. The random forest-sequential method demonstrates strong out-of-sample predictive performance, effectively capturing the complex relationship between weather and yield. It outperforms both multiple linear regression and non-sequential random forest approaches, particularly in predicting large yield losses. When relatively severe yield losses occur, the proposed insurance product provides effective compensation. However, a certain degree of basis risk remains, especially in cases of minimal or no actual loss, where payouts could still be triggered. The algorithm based on sequential residual learning offers an effective means of predicting yield loss. By assessing risks stage by stage throughout the crop growth cycle, this method ensures timely payouts and enables early- to mid-season financial support for farmers, facilitating proactive disaster prevention and loss reduction.

     

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