STATISTICAL MODELS FOR FORECASTING AVERAGE MONTHLY TEMPERATURE AND MONTHLY PRECIPITATION AMOUNT IN PERM

V. Aptukov, V. Mitin
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Abstract

The article proposes an approach to forecasting mean temperature and total precipitation for the upcoming month, based on the study of the regularities of the influence of statistical characteristics of temperature and precipitation of previous periods on them. Among the predictors, along with the basic statistical characteristics, we use the fractality index which is an indicator of the randomness/ determinism of the climate series. Within the framework of this approach, we have developed models of different levels to predict the temperature and total precipitation amount in the upcoming month. The main parameters of these models are described and the possibilities of their variation are indicated. Examples are given to illustrate the forecasting methodology using various types of models and include the results of quality control of the models, calculation of forecast accuracy and dependence of forecast accuracy of average temperature and precipitation on the month (climate season). When tested in 2020, models for forecasting temperature and precipitation for the upcoming month give good results: 9 correct forecasts of temperature anomalies out of 10 (90%) and 7 correct forecasts of precipitation anomalies out of 9 (77,7%).
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预测perm月平均气温和月降水量的统计模型
本文在研究历期气温和降水统计特征对下月平均气温和总降水量影响规律的基础上,提出了一种预测下月平均气温和总降水量的方法。在预测因子中,除了基本统计特征外,我们还使用分形指数作为气候序列随机性/确定性的指标。在这种方法的框架内,我们开发了不同层次的模型来预测未来一个月的温度和总降水量。描述了这些模型的主要参数,并指出了它们变化的可能性。举例说明使用不同模式的预测方法,包括模式的质量控制结果、预测精度的计算以及平均气温和降水的预测精度与月份(气候季节)的关系。在2020年的测试中,预测下一个月温度和降水的模型给出了良好的结果:10个温度异常预测中有9个(90%)正确,9个降水异常预测中有7个(77,7%)正确。
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