We thank the authors (hereafter referred to as CCC) for providing us an opportunity to clarify some points of our original paper. CCC list in their abstract three “key points”that we respond to in this Reply. The first comment is the central one and the most developed. It deals mainly with discussion of features of methods of spectral analysis, mainly SSA. We have quoted the sub‐parts of that comment as items 1a to 1k. The replies to comments/key points 2 and 3 are shorter. We disagree with most of the comments by CCC and explain why. We conclude that we have successfully countered CCC's criticism and shown many of their points to be unsubstantiated. The main problem seems to reside in differences concerning the literature on Singular Spectral Analysis and our use of it. Much of our response to the comments can be found in textbooks and review papers on SSA and time series analysis; we quote extensively, both in our original paper and in this response to CCC, Golyandina and Zhigljavsky (2013).

中文翻译：

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对JL LeMouël，F。Lopes和V. Courtillot发表的论文“过去150年来全球地表温度从十年代到世纪百年变化的典型时间尺度”的评论

我们感谢作者（以下简称CCC）为我们提供了澄清原始论文某些观点的机会。CCC在其摘要中列出了我们在此回复中回应的三个“关键点”。第一条评论是核心评论，也是最发达的评论。它主要讨论光谱分析方法（主要是SSA）的特征。我们已将该注释的子部分引用为项目1a至1k。对评论/要点2和3的答复较短。我们不同意CCC的大部分评论，并解释原因。我们得出的结论是，我们已经成功地反驳了CCC的批评，并表明他们的许多观点没有根据。主要问题似乎在于关于奇异光谱分析的文献及其使用方面的差异。我们对这些评论的大部分回应都可以在有关SSA和时间序列分析的教科书和评论文件中找到；我们在原始论文中以及在对CCC的回应（Golyandina和Zhigljavsky（2013））中都引用了很多内容。