Table 1: Variance of the overdensity field smoothed on $8~ h^{-1} ~{\rm Mpc}$ used in the normalization of number counts to the present-day halo abundance in $\Lambda $-model with $\sigma _{\rm 8}=0.9$ for homogeneous (second column) and inhomogeneous (third column) dark energy models.
  $\sigma_8$
Model Homogeneous Inhomogeneous
2EXP1 0.897 0.876
2EXP2 0.899 0.886
w=-0.8 0.898 0.857
w=-1.0 0.900 0.900
w=-1.2 0.901 0.942


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