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A statistical approach to evaluating distance metrics and analog assignments for pollen records

  • Daniel G Gavin (a1), W.Wyatt Oswald (a2), Eugene R Wahl (a3) and John W Williams (a4)

The modern analog technique typically uses a distance metric to determine the dissimilarity between fossil and modern biological assemblages. Despite this quantitative approach, interpretation of distance metrics is usually qualitative and rules for selection of analogs tend to be ad hoc. We present a statistical tool, the receiver operating characteristic (ROC) curve, which provides a framework for identifying analogs from distance metrics. If modern assemblages are placed into groups (e.g., biomes), this method can (1) evaluate the ability of different distance metrics to distinguish among groups, (2) objectively identify thresholds of the distance metric for determining analogs, and (3) compute a likelihood ratio and a Bayesian probability that a modern group is an analog for an unknown (fossil) assemblage. Applied to a set of 1689 modern pollen assemblages from eastern North America classified into eight biomes, ROC analysis confirmed that the squared-chord distance (SCD) outperforms most other distance metrics. The optimal threshold increased when more dissimilar biomes were compared. The probability of an analog vs no-analog result (a likelihood ratio) increased sharply when SCD decreased below the optimal threshold, indicating a nonlinear relationship between SCD and the probability of analog. Probabilities of analog computed for a postglacial pollen record at Tannersville Bog (Pennsylvania, USA) identified transitions between biomes and periods of no analog.

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*Corresponding author.E-mail address: (D.G. Gavin).
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P.M. Anderson , P.M. Bartlein , L.B. Brubaker , K. Gajewski , and J.C. Ritchie , (1989). Modern analogs of late-Quaternary pollen spectra from the western interior of North America. Journal of Biogeography 16, 573596.

R. Calcote , (1998). Identifying forest stand types using pollen from forest hollows. The Holocene 8, 423432.

O.K. Davis , (1995). Climate and vegetation patterns in surface samples from arid western USA. application to Holocene climatic reconstructions. Palynology 19, 95117.

M. Davis , C. Douglas , R. Calcote , K.L. Cole , M.G. Winkler , and R. Flakne , (2000). Holocene climate in the western Great Lakes national parks and lakeshores. implications for future climate change. Conservation Biology 14, 968983.

J. Guiot , (1990). Methodology of the last climatic cycle reconstruction in France from pollen data. Palaeogeography Palaeoclimatology Palaeoecology 80, 4969.

J.A. Hanley , and B.J. McNeil , (1982). The meaning and use of the area under a receiver operating characteristic (ROC) curve. Radiology 143, 2936.

A.R. Henderson , (1993). Assessing test accuracy and its clinical consequences. a primer for receiver operating characteristic curve analysis. Annals of Clinical Biochemistry 30, 521539.

K. Liu , and N.S. Lam , (1985). Paleovegetational reconstruction based on modern and fossil pollen data. an application of discriminant analysis. Annals of the Association of American Geographers 75, 115130.

T.R. Loveland , B.C. Reed , J.F. Brown , D.O. Ohlen , J. Zhu , L. Yang , and J.W. Merchant , (2000). Development of a global land cover characteristics database and IGBP DISCover from 1-km AVHRR data. International Journal of Remote Sensing 21, 13031330.

C.E. Metz , (1978). Basic principles of ROC analysis. Seminars in Nuclear Medicine 8, 283298.

W.W. Oswald , L.B. Brubaker , F.S. Hu , and D.G. Gavin Pollen-vegetation calibration for tundra communities in the Arctic Foothills, northern Alaska. Journal of Ecology, in press

J.T. Overpeck , T. Webb III, and I.C. Prentice , (1985). Quantitative interpretation of fossil pollen spectra. dissimilarity coefficients and the method of modern analogs. Quaternary Research 23, 87108.

U. Pflaumann , J. Duprat , C. Pujol , and L.D. Labeyrie , (1996). SIMMAX. A modern analog technique to deduce Atlantic sea surface temperatures from planktonic foraminifera in deep-sea sediments. Paleoceanography 11, 1535.

I.C. Prentice , (1980). Multidimensional scaling as a research tool in Quaternary palynology. a review of theory and methods. Review of Palaeobotany and Palynology 31, 71104.

I.C. Prentice , J. Guiot , B. Huntley , D. Jolly , and R. Cheddadi , (1996). Reconstructing biomes from palaeoecological data. a general method and its application to European pollen data at 0 and 6 ka. Climate Dynamics 12, 185194.

I. Robertson , D. Lucy , L. Baxter , A.M. Pollard , R.G. Aykroyd , A.C. Barker , A.H.C. Carter , V.R. Switsur , and J.S. Waterhouse , (1999). A kernal-based Bayesian approach to climatic reconstruction. The Holocene 9, 495500.

M. Stuiver , P.J. Reimer , E. Bard , J.W. Beck , G.S. Burr , K.A. Hughen , B. Kromer , G. McCormac , J. Van der Plicht , and M. Spurk , (1998). INTCAL98 radiocarbon age calibration, 24,000-0 cal BP. Radiocarbon 40, 10411083.

J.A. Swets , (1988). Measuring the accuracy of diagnostic systems. Science 240, 12851293.

H.T.T. Toivonen , H. Mannila , A. Korhola , and H. Olander , (2001). Applying Bayesian statistics to organism-based environmental reconstruction. Ecological Applications 11, 618630.

C. Waelbroeck , L. Labeyrie , J.-C. Duplessy , J. Guiot , M. Labracherie , H. Leclaire , and J. Duprat , (1998). Improving past sea surface temperature estimates based on planktonic fossil faunas. Paleoceanography 13, 272283.

E.R. Wahl A general framework for determining cutoff values to select pollen analogs with dissimilarity metrics in the modern analog technique. Review of Palaeobotany and Palynology, in press

W.A. Watts , (1979). Late Quaternary vegetation of central Appalachia and the New Jersey coastal plain. Ecological Monographs 49, 427469.

J.W. Williams , B.N. Shuman , T. Webb III Dissimilarity analyses of late-Quaternary vegetation and climate in eastern North America. Ecology 82, (2001). 33463362.

W. Youden , (1950). Index rating for diagnostic tests. Cancer 3, 3235.

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Quaternary Research
  • ISSN: 0033-5894
  • EISSN: 1096-0287
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