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ABSTRACT REPLYING TO J. Carstensen, R. J. Telford & H. J. B. Birks _Nature_ 498, 10.1038/nature12272 (2013) Some issues have been raised with regard to our paper1, by Carstensen _et
al._2. In terms of our data processing, we were aware from the outset of the problems of unevenly spaced temporal data and sediment dating errors. We also wanted to duplicate, as far as
possible, the methods published previously that had been used to identify early warning signals in palaeoenvironmental data (for example, ref. 3). Thus, we applied two standard smoothing
functions (exponential and Gaussian kernel) to interpolated and non-interpolated (original) diatom data, expressed as three statistical indices (detrended correspondence analysis (DCA),
Hill’s diversity index N2 (HDI) and correspondence analysis), using different sliding-window sizes and the two-standard-deviation range of dates for each sample. Access through your
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REFERENCES * Wang, R. et al. Flickering gives early warning signals of a critical transition to a eutrophic lake state. _Nature_ 492, 419–422 (2012) Article ADS Google Scholar *
Carstensen, J., Telford, R. J. & Birks, H. J. B. Diatom flickering prior to regime shift. _Nature_ 498, http://dx.doi.org/10.1038/nature12272 (2013) * Dakos, V. et al. Slowing down as an
early warning signal for abrupt climate change. _Proc. Natl Acad. Sci. USA_ 105, 14308–14312 (2008) Article ADS CAS Google Scholar Download references AUTHOR INFORMATION AUTHORS AND
AFFILIATIONS * Palaeoecological Laboratory, Geography and Environment, University of Southampton, Southampton SO17 1BJ, UK, Rong Wang, John A. Dearing & Peter G. Langdon * State Key
Laboratory of Lake Science & Environment, Nanjing Institute of Geography & Limnology, Chinese Academy of Sciences, Nanjing, 210008, China Rong Wang, Enlou Zhang & Xiangdong Yang
* Department of Aquatic Ecology & Water Quality Management, Wageningen University, PO Box 47, NL-6700 AA, Wageningen, The Netherlands, Vasilis Dakos & Marten Scheffer * Integrative
Ecology Group, Estación Biológica de Doñana, CSIC, C/Américo Vespucio S/N, E-41092 Seville, Spain, Vasilis Dakos Authors * Rong Wang View author publications You can also search for this
author inPubMed Google Scholar * John A. Dearing View author publications You can also search for this author inPubMed Google Scholar * Peter G. Langdon View author publications You can also
search for this author inPubMed Google Scholar * Enlou Zhang View author publications You can also search for this author inPubMed Google Scholar * Xiangdong Yang View author publications
You can also search for this author inPubMed Google Scholar * Vasilis Dakos View author publications You can also search for this author inPubMed Google Scholar * Marten Scheffer View author
publications You can also search for this author inPubMed Google Scholar CONTRIBUTIONS J.A.D., P.G.L. and V.D. wrote the reply following comments from R.W., E.Z., X.Y. and M.S.
CORRESPONDING AUTHOR Correspondence to John A. Dearing. RIGHTS AND PERMISSIONS Reprints and permissions ABOUT THIS ARTICLE CITE THIS ARTICLE Wang, R., Dearing, J., Langdon, P. _et al._ Wang
_et al._ reply. _Nature_ 498, E12–E13 (2013). https://doi.org/10.1038/nature12273 Download citation * Published: 26 June 2013 * Issue Date: 27 June 2013 * DOI:
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