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Published online by Cambridge University Press: 25 May 2016
During the period of galaxy formation, many small-length-scale perturbations superimposed on high-amplitude large-length-scale perturbations should have their overdensities boosted into the non-linear regime, while small-scale perturbations in other regions remain linear. The formation of the first galaxies in discrete, high overdensity regions may lead to an initial amplitude of the spatial correiatio? function of galaxies, ξ0, much higher than that expected from linear fluctuation theory. This initially high “bias” would consequently decrease to the near-unity values expected from local observations. Such a Decreasing Correlation Period (DCP) is detected in N-body simulations under certain conditions by several authors; Roukema (1993), Brainerd & Villumsen (1994), Roukema et al. (1997) and unpublished simulations by one of us (Yamashita).