  As suggested in a Comment by Peters, Phys.\ Rev.\ C {\bf 96}, 029801 (2017),
a correction is applied to the $^{13}$C($\alpha$,n)$^{16}$O data of
Harissopulos {\it et al.}, Phys.\ Rev.\ C {\bf 72}, 062801(R) (2005). The
correction refers to the energy-dependent efficiency of the neutron detector
and appears only above the ($\alpha$,n$_1$) threshold of the
$^{13}$C($\alpha$,n)$^{16}$O reaction at about $E_\alpha \approx 5$ MeV. The
corrected data are lower than the original data by almost a factor of two. The
correction method is verified using recent neutron spectroscopy data and data
from the reverse $^{16}$O(n,$\alpha$)$^{13}$C reaction.
