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We propose an extension of the classical $\Lambda$-Fleming-Viot model tointrinsically varying population sizes. During events, instead of replacing aproportion of the population, a random mass dies and a, possibly different,random mass of new individuals is added. The model can also incorporate a driftterm, representing infinitesimally small, but frequent events. We investigateelementary properties of the model, analyse its relation to the$\Lambda$-Fleming-Viot model and describe a duality relationship. Through thelookdown framework, we provide a forward-in-time analysis of fixation andcoming down from infinity. Furthermore, we present a new duality argumentallowing one to deduce well-posedness of the measure-valued process without thenecessity of proving uniqueness of the associated lookdown martingale problem.

A $\Lambda$-Fleming-Viot type model with intrinsically varying population size