Is one migrant per generation sufficient for the genetic management of fluctuating populations?

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Spatial patterns of demography and genetic processes across the species' range: Null hypotheses for landscape conservation genetics (2003, background): “(2) The assumptions and application of equation 2 are discussed in Vucetich and Waite (2000) and references therein.”
Spatial and temporal scales of adaptive divergence in marine fishes and the implications for conservation (2006, background): “Only a small amount of gene flow is necessary to homogenize genetic variation that is neutral to selection (Vucetich & Waite, 2000; Palumbi, 2003), especially among large marine populations where differentiation due to drift is relatively low (Allendorf & Phelps, 1981).”
Minimizing genetic adaptation in captive breeding programs: A review (2009, background): “As many as 10 migrants per generation have been suggested for very small populations to alleviate the problems associate with inbreeding (Vucetich and Waite, 2000).”
Estimating effective landscape distances and movement corridors: Comparison of habitat and genetic data (2015, background): “Previous research has shown that a variable but generally low number of migrants per generation can lead to a sufficient amount of gene flow between populations (e.g., Mills and Allendorf 1996, Vucetich and Waite 2000).”