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Correlated Samples in Time, Space, Phylogeny…

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Eco-Stats: Data Analysis in Ecology

Part of the book series: Methods in Statistical Ecology ((MISE))

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Abstract

Recall from Chap. 1 that a critical assumption we often make in statistics is independence—when this assumption is violated, you are stuffed. Well, unless you have a good idea of how this assumption is violated. This chapter describes a few such situations where we expect data to be dependent and can specify a model to describe this dependence, so that we can make valid conclusions from our data.

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References

  • Banerjee, S., Gelfand, A. E., Finley, A. O., & Sang, H. (2008). Gaussian predictive process models for large spatial data sets. Journal of the Royal Statistical Society: Series B (Statistical Methodology), 70, 825–848.

    Article  MathSciNet  Google Scholar 

  • Bear, R., Rintoul, D., Snyder, B., Smith-Caldas, M., Herren, C., & Horne, E. (2017). Principles of biology. OpenStax CNX, Rice University.

    Google Scholar 

  • Blomberg, S. P., Lefevre, J. G., Wells, J. A., & Waterhouse, M. (2012). Independent contrasts and PGLS regression estimators are equivalent. Systematic Biology, 61, 382–391.

    Article  Google Scholar 

  • Cressie, N. (2015). Statistics for spatial data. Wiley.

    MATH  Google Scholar 

  • Cressie, N., & Johannesson, G. (2008). Fixed rank kriging for very large spatial data sets. Journal of the Royal Statistical Society: Series B (Statistical Methodology), 70, 209–226.

    Article  MathSciNet  Google Scholar 

  • Diggle, P. J., Heagerty, P., Liang, K.-Y &, Zeger, S. (2002). Analysis of longitudinal data (2nd ed.). Oxford University Press.

    Google Scholar 

  • Dormann, C. F., M. McPherson, J., B. Araújo, M., Bivand, R., Bolliger, J., Carl, G., G. Davies, R., Hirzel, A., Jetz, W., Kissling, W. D., Kühn, I., Ohlemüller, R., R. Peres-Neto, P., Reineking, B., Schröder, B., M. Schurr, F., & Wilson, R. (2007). Methods to account for spatial autocorrelation in the analysis of species distributional data: A review. Ecography, 30, 609–628.

    Google Scholar 

  • Felsenstein, J. (1985). Phylogenies and the comparative method. The American Naturalist, 125, 1–15.

    Article  Google Scholar 

  • Finley, A. O., Sang, H., Banerjee, S., & Gelfand, A. E. (2009). Improving the performance of predictive process modeling for large datasets. Computational Statistics and Data Analysis, 53, 2873–2884.

    Article  MathSciNet  Google Scholar 

  • Freckleton, R., Harvey, P., & Pagel, M. (2002). Phylogenetic analysis and comparative data: A test and review of evidence. The American Naturalist, 160, 712–726.

    Article  Google Scholar 

  • Grafen, A. (1989). The phylogenetic regression. Philosophical Transactions of the Royal Society of London. Series B, Biological Sciences, 326, 119–157.

    Google Scholar 

  • Grass, I., Lehmann, K., Thies, C., & Tscharntke, T. (2017). Insectivorous birds disrupt biological control of cereal aphids. Ecology, 98, 1583–1590.

    Article  Google Scholar 

  • Harvey, P. H., Read, A. F., & Nee, S. (1995). Why ecologists need to be phylogenetically challenged. Journal of Ecology, 83, 535–536.

    Article  Google Scholar 

  • Hodges, J. S., & Reich, B. J. (2010). Adding spatially-correlated errors can mess up the fixed effect you love. The American Statistician, 64, 325–334.

    Article  MathSciNet  Google Scholar 

  • Hyndman, R. J., & Athanasopoulos, G. (2014). Forecasting: Principles and practice. OTexts.

    Google Scholar 

  • Keck, F., Rimet, F., Bouchez, A., & Franc, A. (2016). phylosignal: An R package to measure, test, and explore the phylogenetic signal. Ecology and Evolution, 6, 2774–2780.

    Article  Google Scholar 

  • Li, D., & Ives, A. R. (2017). The statistical need to include phylogeny in trait-based analyses of community composition. Methods in Ecology and Evolution, 8, 1192–1199.

    Article  Google Scholar 

  • Lislevand, T., & Thomas, G. H. (2006). Limited male incubation ability and the evolution of egg size in shorebirds. Biology Letters, 2, 206–208.

    Article  Google Scholar 

  • Morrisey, D., Underwood, A., Howitt, L., & Stark, J. (1992). Temporal variation in soft-sediment benthos. Journal of Experimental Marine Biology and Ecology, 164, 233–245.

    Article  Google Scholar 

  • Pagel, M. (1997). Inferring evolutionary processes from phylogenies. Zoologica Scripta, 26, 331–348.

    Article  Google Scholar 

  • Pagel, M. (1999). Inferring the historical patterns of biological evolution. Nature, 401, 877–84.

    Article  Google Scholar 

  • Shermer, M. (2012). The believing brain: From spiritual faiths to political convictions–how we construct beliefs and reinforce them as truths. Hachette, UK.

    Google Scholar 

  • Symonds, M. R. E., & Blomberg, S. P. (2014). A primer on phylogenetic generalised least squares (pp. 105–130). Springer: Heidelberg.

    Google Scholar 

  • Westoby, M., Leishman, M. R., & Lord, J. M. (1995). On misinterpreting the ‘phylogenetic correction’. Journal of Ecology, 83, 531–534.

    Article  Google Scholar 

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Warton, D.I. (2022). Correlated Samples in Time, Space, Phylogeny…. In: Eco-Stats: Data Analysis in Ecology. Methods in Statistical Ecology. Springer, Cham. https://doi.org/10.1007/978-3-030-88443-7_7

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