• Here is a rather busy plot comparing correlation functions for samples with mean galaxy space density of approximately 0.00308 (except for the observational data, unfortunately, since for the SDSS I have projected rather than spherical correlation functions, while for the 2dF I have binned rather than thresholded samples). Hopefully the legend sufficiently explains the different lines.
  • A similar plot to the previous one but with Galform samples in a bin of blue magnitude. On intermediate scales they seem to agree quite nicely with the CLF.
  • Similar again but the low σ8 model is shown for a bin two magnitudes wide as it has low space density.
  • Here is a plot showing correlation length as a function of sample space density for blue-selected samples. It's the same samples as thesis Fig. 4.14. The points are for the 2dF from Norberg et al. 2001, and the black line is from the semi-analytic model in the same paper (I don't go to very low space density). I've plotted the SDSS result as a dotted line to compare easily to the r-selected samples.
  • Here is the result of shuffling within bins of mass and local density; only the cyan line is new. This seems to preserve the relevant large-scale information since the cyan line now joins on to the original (black) line on large scales.

  • r2ξ for cosmologies in Grid 1, for bJ selected samples with space density 0.00249, compared to the 2dF data for a thresholded sample with the same space density.
  • r2ξ for cosmologies in Grid 2, for bJ selected samples with space density 0.00249, compared to the 2dF data for a thresholded sample with the same space density.
  • r2ξ for cosmologies in Grid 1 and with GALFORM parameters held fixed, for bJ selected samples with space density 0.00249, compared to the 2dF data for a thresholded sample with the same space density.
  • r2ξ for cosmologies in Grid 2 and with GALFORM parameters held fixed, for bJ selected samples with space density 0.00249, compared to the 2dF data for a thresholded sample with the same space density.

  • A plot like the first one above but with a thresholded 2dF sample, and with GALFORM bJ samples of matched space density.

  • Key to model numbering.
  • Constraints on σ8 from the SDSS r-band at a space density of 0.00308, with estimates (in red) for the effect of halo assembly bias. Uses the full covariance matrix
  • Constraints on σ8 from the 2dF bJ-band at a space density of 0.00249. Uses only the first six principal components, which include 99% of the variance.