The Influence of Dust Levels on Atmospheric Carbon Dioxide and Global Temperature

D. Allen, Danail Sandakchiev, Vincent J. Hooper, I. Ivanov
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Abstract

The purpose of this paper is to examine the causality between DUST, CO2 and temperature for the Vostok ice core data series [Vostok Data Series], dating from 420 000 years ago, and the EPICA C Dome data going back 800 000 years. In addition, the time-varying volatility and coefficient of variation in the CO2, dust and temperature is examined, as well as their dynamic correlations and interactions. We find a clear link between atmospheric C02 levels, dust and temperature, together with a bi-directional causality effects when applying both Granger Causality Tests (1969) and multi-directional Non-Linear analogues, i.e. Generalized Correlation. We apply both parametric and non-parametric statistical measures and testing. Linear interpolation with 100 years and 1000 years is applied to the three variables, in order to solve the problem of data points mismatch among them. The visualizations and descriptive statistics of the interpolated variables (using the two periods) show robustness in the results. The data analysis points out that variables are volatile, but their respective rolling mean and standard deviation remain stable. Additionally, 1000 years interpolated data suggests positive correlation between temperature and CO2, while dust is negatively correlated with both temperature and CO2. The application of the non-parametric Generalized Measure of Correlation to our data sets, in a pairwise fashion suggested that CO2 better explains temperature than temperature does CO2, that temperature better explains dust than dust does temperature, and finally that CO2 better explains dust than vice -versa. The latter two pairs of relationships are negative. The summary of the paper presents some avenues for further research, as well as some policy relevant suggestions.
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沙尘水平对大气二氧化碳和全球温度的影响
本文的目的是研究42万年前的Vostok冰芯数据系列[Vostok数据系列]和80万年前的EPICA C Dome数据中DUST、CO2和温度之间的因果关系。此外,还研究了CO2、粉尘和温度的随时间变化的挥发性和变异系数,以及它们的动态相关性和相互作用。在应用格兰杰因果检验(1969)和多向非线性类似物(即广义相关)时,我们发现大气二氧化碳水平、粉尘和温度之间存在明确的联系,以及双向因果关系。我们应用参数和非参数统计测量和测试。为了解决三个变量之间数据点不匹配的问题,对三个变量分别采用100年和1000年的线性插值。内插变量的可视化和描述性统计(使用两个周期)显示了结果的稳健性。数据分析指出,变量具有波动性,但其各自的滚动均值和标准差保持稳定。此外,1000年的插值数据表明温度与CO2呈正相关,而尘埃与温度和CO2均呈负相关。将非参数广义相关度量以两两方式应用于我们的数据集表明,二氧化碳比温度更能解释二氧化碳,温度比灰尘更能解释温度,最后,二氧化碳比灰尘更能解释灰尘,反之亦然。后两对关系是负的。论文的总结部分提出了进一步研究的方向,并提出了相关的政策建议。
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