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q-bio.PE2026
Migration Genealogies in Multiregional Stable Populations: First-Return Decompositions, Recurrence, and Sensitivity
Ryo Oizumi, Kensaku Kinjo, Yuki Chino
When people of reproductive age move between regions, replacement-level fertility need not produce spatially balanced population replacement. Migration genealogies connect a woman'…
q-bio.PE2026
Genealogical Expansions of Positive Fredholm Operators via a Reference-Point Method
Ryo Oizumi, Kensaku Kinjo, Yuki Chino
We study positive Fredholm integral operators that arise as next-generation operators in structured population models. The main problem is to represent the dominant eigenvalue and…