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A method for constructing statistically homogeneous and isotropic perfectfluid universe models with significant cosmic backreaction is proposed. Themethod is illustrated using a simplified model constructed as a Swiss-cheesemodel with Lemaitre-Tolman-Bondi structures. The model exhibits significantcosmic backreaction and is used to study methods proposed in the literature forrelating volume averaged quantities with observations. The comparison shows apoor agreement between exact redshift-distance relations and the relationspredicted by schemes based on volume averages. Most of these deviations are,however, clearly exaggerated by peculiarities of the example model, such aslarge local expansion rates.

Towards statistically homogeneous and isotropic perfect fluid universes with cosmic backreaction