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Fig. 1

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Simulated P −  distribution of the detectable sample (filled symbols) and an according undetectable sample (open symbols) using the approaches of Faucher-Giguère & Loeb (2010) (red squares) and of Story et al. (2007) (blue circles). We use [σr = 5, z0 = 1] kpc and [R0 = 4.2, z0 = 0.5] kpc respectively for Faucher-Giguère & Loeb and Story et al. approaches. For comparison we show the observed distribution of Fermi-LAT MSPs as green triangles. The P −  distribution of all pulsars from the ATNF catalogue (Manchester et al. 2005, http://www.atnf.csiro.au/research/pulsar/psrcat) is shown as black dots. We also show lines of constant spin-down power Ė (dashed), constant characteristic age (dashed-dotted), and constant magnetic field (dotted). The area excluded by the deathline implemented in Faucher-Giguère & Loeb’s model is indicated by the blue filled area. The inset presents a zoom into the MSP region of the P −  diagram.

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