\begin{table}%tD.1
\caption{\label{tab:The-full-list-of-population-parameters}The full list of our binary population models (a~subset is shown in Table~\ref{tab:modelsets}). The meanings of the symbols are given in Sect.~\ref{sec:Model}.}
%\centering
\small
\begin{tabular}{cc}
\hline \hline \noalign{\smallskip}
Model set & Physical parameters (differences from model set \protect $A$)\\
\hline
$A$ & --\\
{\it CEp1}, {\it CE3} & $\alpha_{{\rm CE}}=0.1$ and $3$ respectively\\
{\it B} & Bondi-Hoyle $\alpha_{{\rm BH}}=5$\\
{\it Ae5} & Initial eccentricity $e=0.5$\\
{\it 8} & CRAP parameter $B=10^{3}$\\
{\it E} & Third DUP calibration: $\Delta M_{{\rm c},{\rm min}}=-0.07~{M_{\odot}}$,
$\lambda_{{\rm min}}=0.8$\\
{\it 10}, {\it 11}, {\it 12} & Reimers AGB wind: $\eta=0.1$, $1$ and $5$ respectively\\
{\it 13} & AGB wind of Van Loon\\
{\it 14}, {\it 15}, {\it C} & Common envelope accretion $0.01$, $0.02$ and $0.05~{M_{\odot}}$
respectively\\
{\it A1}, {\it A2} & $^{13}{\rm C}$ efficiency parameter $0.1$ and $0.01$ respectively\\
{\it D} & Thermohaline mixing disabled\\
{\it At12}, {\it At8} & Minimum CEMP age $12$ and $8~{\rm Gyr}$ respectively\\
{\it F} & Third DUP $M_{{\rm env},{\rm min}}=0~{M_{\odot}}$\\
{\it 27} & $M_{{\rm env},{\rm min}}=0~{M_{\odot}}$, $\xi_{{\rm 13}}=0.01$,
$\Delta M_{{\rm c,min}}=-0.1~{M_{\odot}}$, $\lambda_{{\rm min}}=0.5$,
$f_{{\rm VW}}=0.1$\\
{\it 28} & $M_{{\rm env},{\rm min}}=0~{M_{\odot}}$, $\xi_{{\rm 13}}=0.01$,
$\Delta M_{{\rm c,min}}=-0.1~{M_{\odot}}$, $\lambda_{{\rm min}}=0.5$\\
{\it Ap5}, {\it Ap7} & $\left[{\rm C}/{\rm Fe}\right]_{{\rm min}}=0.5$ and $0.7$
respectively\\
{\it 31}, {\it 32} & As {\it 27} with $\left[{\rm C}/{\rm Fe}\right]_{{\rm min}}=0.5$
and $0.7$ respectively\\
{\it 33} & $\Delta P_{{\rm VW}}=-100~{\rm days}$\\
{\it 34}, {\it B1} & $M_{{\rm env},{\rm min}}=0~{M_{\odot}}$, $\xi_{{\rm 13}}=0.01$,
$\Delta M_{{\rm c,min}}=-0.1~{M_{\odot}}$ with $\lambda_{{\rm min}}=0.1$
and $0.8$ respectively\\
{\it 36} & $M_{{\rm env},{\rm min}}=0.25~{M_{\odot}}$, $\xi_{{\rm 13}}=0.01$,
$\Delta M_{{\rm c,min}}=-0.1~{M_{\odot}}$, $\lambda_{{\rm min}}=0.8$\\
{\it 37}, {\it 38}, {\it 39}, {\it 40} & Nelemans common-envelope prescription, $\gamma=0.5$, $1$, $1.5$
and $2$ respectively\\
{\it 41} & As {\it 39} but Nelemans prescription for $q>0.2$ only (otherwise
the default prescription)\\
{\it 42} & As {\it 41} but Nelemans prescription only for the first common-envelope
phase\\
{\it B2} & $\alpha_{{\rm CE}}=0.1$, $M_{{\rm env},{\rm min}}=0~{M_{\odot}}$,
$\Delta M_{{\rm c,min}}=-0.1~{M_{\odot}}$, $\lambda_{{\rm min}}=0.5$
, Comenv accretion $0.05$, No thermohaline\\
{\it 44} & {\it 38} and {\it B2} combined\\
{\it 45} & As {\it B1} with $\xi_{{\rm 13}}=0.1$\\
{\it 48} & $M_{{\rm env},{\rm min}}=0~{M_{\odot}}$, $\Delta M_{{\rm c,min}}=-0.1~{M_{\odot}}$,
$\lambda_{{\rm min}}=0.5$, $\xi_{{\rm 13}}=0.01$\\
$G$ & $M_{{\rm env},{\rm min}}=0~{M_{\odot}}$, $\Delta M_{{\rm c,min}}=-0.1~{M_{\odot}}$,
$\lambda_{{\rm min}}=0.8$, $\xi_{{\rm 13}}=0.1$\\
{\it 50} & $M_{{\rm env},{\rm min}}=0~{M_{\odot}}$, $\Delta M_{{\rm c,min}}=-0.1~{M_{\odot}}$,
$\lambda_{{\rm min}}=0.5$, $\xi_{{\rm 13}}=0.001$\\
{\it 51}, {\it 52}, {\it 53} & %
%\begin{minipage}[t]{0.8\columnwidth}%
%\begin{center}
\par
Comenv accretion $0.05~{M_{\odot}}$, $M_{{\rm env},{\rm min}}=0~{M_{\odot}}$,
$\Delta M_{{\rm c,min}}=-0.1~{M_{\odot}}$, $\lambda_{{\rm min}}=0.5$,\\
& $\xi_{{\rm 13}}=0.1,~0.01~{\rm and}~0.001$ respectively
\par%\end{center}
%
%\end{minipage}
\\
{\it H}, {\it 55}, {\it 56} & %
%\begin{minipage}[t]{0.8\columnwidth}%
%\begin{center}
\par
Comenv accretion $0.05~{M_{\odot}}$, $M_{{\rm env},{\rm min}}=0~{M_{\odot}}$,
$\Delta M_{{\rm c,min}}=-0.1~{M_{\odot}}$, $\lambda_{{\rm min}}=0.8$,\\
 &$\xi_{{\rm 13}}=0.1,~0.01~{\rm and}~0.001$ respectively
\par%\end{center}
%
%\end{minipage}
\\
{\it 57}, {\it 58}, {\it 59} & %
%\begin{minipage}[t][1.1\totalheight]{0.8\columnwidth}%
%\begin{center}
\par
$M_{{\rm env},{\rm min}}=0~{M_{\odot}}$, $\Delta M_{{\rm c,min}}=-0.1~{M_{\odot}}$,
$\lambda_{{\rm min}}=0.5$,\\
 &$\xi_{{\rm 13}}=0.1,~0.01~{\rm and}~0.001$ respectively
\par%\end{center}
%
%\end{minipage}
\\
\hline
\end{tabular}
\end{table}