sirehood en · NOUN
Etymology
From sire + -hood. Piecewise doublet of seniorhood.
Meanings
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(uncountable) The property of being a father.
The female signal is thus "honest enough" to give the dominant male a reasonable degree of paternity certainty while leaving other males with a smaller (but greater than zero) probability of sirehood.
2003, Peter J. B. Slater, Jay S. Rosenblatt, Charles T. Snowdon, Advances in the Study of Behavior, volume 33, page 125: