Hostname: page-component-7479d7b7d-fwgfc Total loading time: 0 Render date: 2024-07-08T16:19:34.294Z Has data issue: false hasContentIssue false

Applications of Commonly Used Numerical Techniques in Diatom-Based Paleoecology

Published online by Cambridge University Press:  21 July 2017

Brian F. Cumming
Affiliation:
Paleoecological Environmental Assessment and Research Laboratory (P.E.A.R.L.) Department of Biology, Queen's University, Kingston, Ontario K7L 3N6 Canada
Katrina A. Moser
Affiliation:
Department of Geography, The University of Western Ontario, 1151 Richmond Street North, London, Ontario N6A 5C2 Canada
Get access

Abstract

Applications of commonly used numerical techniques in diatom-based paleoecology are reviewed including: approaches used to model diatom taxa to important limnological variables; ordination and other commonly used multivariate approaches; and the myriad of approaches that are now being explored to infer environmental variables based on diatom assemblages.

Modelling the response of individual diatom taxa to limnologically important variables is consistent with ecological theory and has been largely accomplished using approaches based on generalized linear models. These techniques have established that strong and significant relationships exist between the numerically dominant diatom taxa and important limnological variables (e.g., pH, nutrients, salinity). Null modelling approaches have also been used. However, inclusion of rare taxa in null models results in high rates of type-II errors, and consequently spurious claims that only a minority of diatoms have significant relationships to important limnological variables such as lakewater pH and nutrients.

A variety of ordination techniques are widely used in diatom-based paleolimnological studies to aid in summarizing the main directions of variation in diatom assemblages, and to identify limnological variables that are strongly correlated to the diatom assemblages, both in time and space. More advanced ordination techniques, such as partial ordinations, are increasingly being used to assess the shared and unique variance attributable to groups of important limnological variables. Further, diatom-based approaches based on experimental designs with control lakes and appropriate multivariate statistics are now becoming increasingly common to assess, for example, the impact of forestry on water quality.

A number of different diatom-based inference models based on the present-day relationships between diatom assemblages and limnological variables are now available for inferring important limnological variables. These approaches vary from simple approaches such as weighted-averaging to more complex approaches involving curve fitting and maximum likelihood, neural networks, and Bayesian statistics. All of these approaches have been shown to result in strong inference models, each using aspects of ecological information available from the diatom assemblages.

Type
Research Article
Copyright
Copyright © by the Paleontological Society 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Austin, M. 2007. Species distribution models and ecological theory: A critical assessment and some possible new approaches. Ecological Modelling, 200:119.Google Scholar
Battarbee, R. W. 2000. Palaeolimnological approaches to climate change, with special regard to the biological record. Quaternary Science Reviews, 19:107124.Google Scholar
Battarbee, R. W., Thompson, R., Catalan, J., Grytnes, J.-A., and Birks, H. J. B. 2002a. Climate variability and ecosystem dynamics of remote alpine and arctic lakes: the MOLAR project. 2002b. Journal of Paleolimnology, 28:16.Google Scholar
Battarbee, R. W., Grytnes, J.-A., Thompson, R., Appleby, P. G., Catalan, J., Korhola, A., and Birks, H. J. B. 2002b. Comparing palaeolimnological and instrumental evidence of climate change for remote mountain lakes over the last 200 years. Journal of Paleolimnology, 28:161179.Google Scholar
Bigler, C., and Hall, R. I. 2003. Diatoms as quantitative indicators of July temperature: a validation attempt at century-scale with meteorological data from northern Sweden. Palaeogeography Palaeoclimatology Palaeoecology, 189:147160.Google Scholar
Birks, H. J. B. 1998. Numerical tools in palaeolimnology – Progress, potentialities, and problems. Journal of Paleolimnology, 20:307332.Google Scholar
Birks, H. J. B., Line, J. M., Juggins, S., Stevenson, A. C., and Ter Braak, C. J. F. 1990. Diatoms and pH reconstruction. Philosophical Transactions of the Royal Society of London Series B, 327:263278.Google Scholar
Borcard, D., Legendre, P., and Drapeau, P. 1992. Partialling out the spatial component of ecological variation. Ecology, 73:10451055.Google Scholar
Cameron, N. G., Birks, H. J. B., Jones, V. J., Berge, F., Catalan, J., Flower, R. J., Garcia, J., Kawecka, B., Koinig, K. A., Marchetto, A., Sanchez-Castillo, P., Schmidt, R., Sisko, M., Solovieva, N., Stefkova, E., and Toro, M. 1999. Surface-sediment and epilithic diatom pH calibration sets for remote European mountain lakes (AL:PE Project) and their comparison with the Surface Waters Acidification Programme (SWAP) calibration set. Journal of Paleolimnology, 22:291317.Google Scholar
Catalan, J., Plas, S., Rieradevall, M., Felip, M., Ventura, M., Buchaca, T., Camarero, L., Brancelj, A., Appleby, P. G., Lami, A., Grytnes, J. A., Agusti-Panareda, A., and Thompson, R. 2002. Lake Redó ecosystem response to an increasing warming in the Pyrenees during the twentieth century. Journal of Paleolimnology, 28:129145.Google Scholar
Clarke, K. R., and Warwick, R. M. 2001. Change in marine communities: an approach to statistical analysis and interpretation, 2nd edn. PRIMER-E Ltd, Plymouth. 170 pp.Google Scholar
Coudun, C., and Gegout, J. C. 2006. The derivation of species response curves with Gaussian logistic regression is sensitive to sampling intensity and curve characteristics. Ecological Modelling, 199:164175.Google Scholar
Crawley, M. J. 2005. Statistics: an introduction using R. John Wiley & Sons, Inc., Hoboken, New Jersey. R Development Core Team 2004. 331 pp.Google Scholar
Cumming, B. F., Smol, J. P., and Birks, H. J. B. 1992. Scaled chrysophytes (Chrysophyceae and Synurophyceae) from Adirondack drainage lakes and their relationship to environmental variables. Journal of Phycology, 28:162178.Google Scholar
Cumming, B. F., Wilson, S. E., Hall, R. I., and Smol, J. P. 1995. Diatoms from British Columbia (Canada) Lakes and their Relationship to Salinity, Nutrients and Other Limnological Variables (with 248 figures, 6 tables and 1041 photos on 60 plates). Bibliotheca Diatomologica: 31. Stuttgart, Germany. 207 pp.Google Scholar
Denys, L. 2006. Calibration of littoral diatoms to water chemistry in standing fresh waters (Flanders, lower Belgium): inference models for historical sediment assemblages. Journal of Paleolimnology, 35:763787.Google Scholar
Dixit, S. S., Cumming, B. F., Kingston, J. C., Smol, J. P., Birks, H. J. B., Uutala, A. J., Charles, D. F., and Camburn, K. E. 1993. Diatom assemblages from Adirondack lakes (New York, U.S.A.) and the development of predictive models for retrospective environmental assessment. Journal of Paleolimnology, 8:2747.Google Scholar
Dixit, S. S., Smol, J. P., Charles, D. F., Hughes, R. M., Paulsen, S. G., and Collins, G. B. 1999. Assessing water quality changes in the lakes of the northeastern United States using sediment diatoms. Canadian Journal of Fisheries and Aquatic Sciences, 56:131152.Google Scholar
Ellison, A. M. 1996. An introduction to Bayesian inference for ecological research and environmental decision-making. Ecological Applications, 6:10361046.Google Scholar
Gaiser, E. E., Philippi, T. E., and Taylor, B. E. 1998. Distribution of diatoms among intermittent ponds on the Atlantic Coastal Plain: development of a model to predict drought periodicity form surface-sediment assemblages. Journal of Paleolimnology, 20:7190.Google Scholar
Ginn, B. K., Cumming, B. F., and Smol, J. P. 2007. Long-term acidification trends in high- and low-sulphate deposition regions from Nova Scotia, Canada. Hydrobiologia, 586:261275.Google Scholar
Ginn, B. K., Cumming, B. F., and Smol, J. P. In press. Diatom-based environmental inferences and model comparisons from 494 northeastern North American lakes. Journal of Phycology. DOI: 10.1111/j.1529-8817.2007.00363.x.Google Scholar
Gotelli, N. J., and Graves, G. R. 1996. Null Models in Ecology. Smithsonian Institution Press, Washington, DC. 388 pp.Google Scholar
Hall, R. I., Leavitt, P. R., Quinlan, R., Dixit, A. S., and Smol, J. P. 1999. Effects of agriculture, and climate on water quality in the northern Great Plains. Limnology and Oceanography, 44:739756.Google Scholar
Haslett, J., Whiley, M., Bhattacharya, S., Saltertownshend, M., Wilson, S. P., Allen, J. R. M., Huntley, B., and Mitchell, F. J. G. 2006. Bayesian palaeoclimate reconstruction. Journal of the Royal Statistical Society Series A-Statistics in Society, 169:395430.Google Scholar
Hausmann, S., and Kienast, F. 2006. A diatom-inference model for nutrients screened to reduce the influence of background variables: Application to varved sediments of Greifensee and evaluation with measured data. Palaeogeography, Palaeoclimatology, Palaeoecology, 233:96112.Google Scholar
Huisman, J., Olff, H., and Fresco, L. F. M. 1993. A hierarchical set of models for species response analysis. Journal of Vegetation Science, 4:3746.Google Scholar
Jackson, S. T., and Williams, J. W. 2004. Modern analogs in Quaternary paleoecology: here today, gone yesterday, gone tomorrow? Earth Planetary Science, 32:495537.Google Scholar
Jongman, R. H. G., Ter Braak, C. J. F., and Van Tongeren, O. F. R. 1987. Data Analysis in Community and Landscape Ecology. Pudoc, Wageningen The Netherlands, 299 pp.Google Scholar
Kendall, R. L. 1969. An ecological history of the Lake Victoria basin. Ecological Monographs, 39:121176.Google Scholar
Kingston, J. C., Birks, H. J. B., Uutala, A. J., Cumming, B. F., and Smol, J. P. 1992. Assessing trends in fishery resources and lake water aluminum from paleolimnological analyses of siliceous algae. Canadian Journal of Fisheries and Aquatic Sciences, 49: 116127.Google Scholar
Koinig, K. A., Kamenik, C., Schmidt, R., Agusti-Panareda, A., Appleby, P., Lami, A., Prazakova, M., Rose, N., Schnell, O. A., Tessadri, R., Thompson, R., and Psenner, R. 2002. Environmental changes in an alpine lake (Gossenkollesee, Austria) over the last two centuries the influence of air temperature on biological parameters. Journal of Paleolimnology, 28:147160.Google Scholar
Koster, D. J. Racca, M. J., and Pienitz, R. 2004. Diatom-based inference models and reconstructions: methods and transformations. Journal of Paleolimnology, 32:233245.Google Scholar
Laird, K. R., Fritz, S. C., and Cumming, B. F. 1998. A diatom-based reconstruction of drought intensity, duration, and frequency from Moon Lake, North Dakota: A sub-decadal record of the last 2300 years. Journal of Paleolimnology, 19:161179.Google Scholar
Laird, K. R., and Cumming, B. F. 2001. A regional paleolimnological assessment of the impact of clearcutting on lakes from the central interior of British Columbia. Canadian Journal of Fisheries and Aquatic Sciences, 58:492505.Google Scholar
Laird, K. R., Cumming, B. F., and Nordin, R. 2001. A regional paleolimnological assessment of the impact of clearcutting from the west coast of Vancouver Island, British Columbia. Canadian Journal of Fisheries and Aquatic Sciences, 58:479491.Google Scholar
Lepsn, J. and snMilauer, P. 2003. Multivariate Analysis of Ecological Data using CANOCO. Cambridge University Press, Cambridge. 269 pp.Google Scholar
Lotter, A. F. 1998. The recent eutrophication of Baldeggersee (Switzerland) as assessed by fossil diatom assemblages. Holocene, 8:395405.Google Scholar
Lotter, A. F., Birks, H. J. B., Hofmann, W., and Marchetto, A. 1998. Modern diatom, cladocera, chironomid, and chrysophyte cyst assemblages as quantitative indicators for the reconstruction of past environmental conditions in the Alps. II. Nutrients. Journal of Paleolimnology, 19:443463.Google Scholar
Michelutti, N., Smol, J. P., and Douglas, M. S. V. 2006. Ecological characteristics of modern diatom assemblages from Axel Heiberg Island (High Arctic Canada) and their application to paleolimnological inference models. Canadian Journal of Botany, 84:16951713.Google Scholar
Moos, M., Laird, K. R., and Cumming, B. F. 2005. Diatom assemblages and water depth in Lake 239 (Experimental Lakes Area, Ontario): Implications for paleoclimatic studies. Journal of Paleolimnology, 34:217227.Google Scholar
Oksanen, J., and Minchin, P. R. 2002. Continuum theory revisited: what shape are species responses along ecological gradients? Ecological Modelling, 157:119129.Google Scholar
Pither, J., and Aarssen, L. W. 2005. Environmental specialists: their prevalence and their influence on community-similarity analyses. Ecological Letters, 8:261271.Google Scholar
Pither, J., and Aarssen, L. W. 2006. How prevalent are pH-specialist diatoms? A reply to Telford et al. (2006) Ecology Letters, 9:E6E12.Google Scholar
Racca, J. M. J., Philibert, A., Racca, R., and Prairie, Y. T. 2001. A comparison between diatom-based pH inference models using Artificial Neural Networks (ANN), weighted averaging (WA), and weighted averaging partial least squares (WA-PLS) regressions. Journal of Paleolimnology, 24:109123.Google Scholar
R DEVELOPMENT CORE TEAM. 2004. R: a language and environment for statistical computing. R Foundation for Statistical Computing, Vienna, Austria.Google Scholar
Smol, J. P., and Cumming, B. F. 2000. Tracking long-term changes in climate using algal indicators in lake sediments. Journal of Phycology, 36:9861011.Google Scholar
Sorvari, S., Korhola, A., and Thompson, R. 2002. Lake diatom response to recent Arctic warming in Finnish Lapland. Global Change Biology, 8:171181.Google Scholar
Stager, J. C., and Johnson, T. C. 2000. A 12,400 C-14 yr offshore diatom record form east central Lake Victoria, East Africa. Journal of Paleolimnology, 23: 373383.Google Scholar
Stager, J. C., Cumming, B. F., and Meeker, L. 1997. A high-resolution 11,400-yr diatom record from Lake Victoria, East Africa. Quaternary Research, 47:8189.Google Scholar
Stager, J. C., Cumming, B. F., and Meeker, L. 2003. A 10,200 year high-resolution diatom record from Pilkington Bay, Lake Victoria, East Africa. Quaternary Research, 59:172181.Google Scholar
Stoermer, E. F. and Smol, J. P. (eds.). 1999. The Diatoms: Applications for the Environmental and Earth Sciences. Cambridge University Press, Cambridge, England, 484 pp.Google Scholar
Telford, R. J., Vandvik, V., and Birks, H. J. B. 2006. How many freshwater diatoms are pH specialists? A response to Pither & Aarssen (2005). Ecology Letters, 9:E1E5.Google Scholar
Ter Braak, C. J. F., and Looman, C. W. N. 1986. Weighted averaging, logistic-regression and the Gaussian response model. Vegetatio, 65:311.Google Scholar
Ter Braak, C. J. F., and Van Dam, H. 1989. Inferring pH from diatoms: a comparison of old and new calibration methods. Hydrobiologia, 178:209223.Google Scholar
Willis, J., and Birks, H. J. B. 2006. What Is Natural? The Need for a Long-Term Perspective in Biodiversity Conservation. Science, 314:12611265.Google Scholar
Wilson, S. E., Cumming, B. F., and Smol, J. P. 1996. Assessing the reliability of salinity inference models from diatom assemblages: An examination of a 219 lake dataset from western North America. Canadian Journal of Fisheries and Aquatic Sciences, 53:15801594.Google Scholar
Wolin, J. A., and Duthie, H. C. 1999. Diatoms as indicators of water level in freshwater lakes. In Stoermer, E.F. and Smol, J.P. (eds.), The Diatoms: Applications for the Environmental and Earth Sciences. Cambridge University Press, Cambridge, England, pp. 183204.Google Scholar