  Using our K2 Campaign 5 fully automated planet detection data set (43
planets), which has corresponding measures of completeness and reliability, we
infer an underlying planet population model for the FGK dwarfs sample (9,257
stars). Implementing a broken power-law for both the period and radius
distribution, we find an overall planet occurrence of $1.00^{+1.07}_{-0.51}$
planets per star within a period range of 0.5-38 days. Making similar cuts and
running a comparable analysis on the Kepler sample (2,318 planets; 94,222
stars), we find an overall occurrence of $1.10\pm0.05$ planets per star. Since
the Campaign 5 field is nearly 120 angular degrees away from the Kepler field,
this occurrence similarity offers evidence that the Kepler sample may provide a
good baseline for Galactic inferences. Furthermore, the Kepler stellar sample
is metal-rich compared to the K2 Campaign 5 sample, thus a finding of
occurrence parity may reduce the role of metallicity in planet formation.
However, a weak ($1.5\sigma$) difference, in agreement with metal-driven
formation, is found when assuming the Kepler model power-laws for the K2
Campaign 5 sample and optimizing only the planet occurrence factor. This weak
trend indicates further investigation of metallicity dependent occurrence is
warranted once a larger sample of uniformly vetted K2 planet candidates are
made available.
