Peter H. Becker, Martin Erdelen, Egg Size in Herring Gulls (Larus argentatus) on Mellum Island, North Sea, West Germany: The Influence of Nest Vegetation, Nest Density, and Colony Development, Colonial Waterbirds, Vol. 9, No. 1 (1986), pp. 68-80
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Becker et al. (1986) studied this question.