  The dependence of inclusive jet production in proton-proton collisions with a
center-of-mass energy of 13 TeV on the distance parameter $R$ of the
anti-$k_\mathrm{T}$ algorithm is studied using data corresponding to integrated
luminosities up to 35.9 fb$^{-1}$ collected by the CMS experiment in 2016. The
ratios of the inclusive cross sections as functions of transverse momentum
$p_\mathrm{T}$ and rapidity $y$, for $R$ in the range 0.1 to 1.2 to those using
$R = $ 0.4 are presented in the region 84 $\lt$ $p_\mathrm{T}$ $\lt$ 1588 GeV
and $|y|$ $\lt$ 2.0. The results are compared to calculations at leading and
next-to-leading order in the strong coupling constant using different parton
shower models. The variation of the ratio of cross sections with $R$ is well
described by calculations including a parton shower model, but not by a
leading-order quantum chromodynamics calculation including nonperturbative
effects. The agreement between the data and the theoretical predictions for the
ratios of cross sections is significantly improved when next-to-leading order
calculations with nonperturbative effects are used.
