\begin{table}%t2 \caption{\label{tab:surveys}Name, year, number of detected pulsars ($N_{\rm real}$), number of simulated detected pulsars ($N_{\rm sim}$) and frequency observed at ($\nu$) for the eight surveys simulated. } \par %\centerline { \begin{tabular}{lcccc} \hline \hline Survey & Year & $N_{\rm real}$& $N_{\rm sim}$ & $\nu$ (MHz) \\ \hline Jodrell & 1972 & 51 & 20 $\pm$ 2 & 408 \\ UMass-Arecibo & 1974 & 50 & 39 $\pm$ 4 & 430 \\ MolongloII & 1978 & 224 & 227 $\pm$ 7 & 408 \\ UMass-NRAO & 1978 & 50 & 54 $\pm$ 6 & 400 \\ ParkesII & 1991--1994 & 298 & 335 $\pm$ 10 & 400 \\ Cambridge 80MHz & 1993--1994 & 20 & 27 $\pm$ 5 & 82 \\ Parkes Multibeam & 1997--2000 & 987 & 801 $\pm$ 41 & 1374 \\ LOFAR & 2010--2012 & -- & 1100 $\pm$ 100 & 140 \\ \hline \end{tabular}} \medskip \par The error on $N_{\rm sim}$ is the standard variation in the outcomes when simulating the model described in the text with different random number seeds. The $N_{\rm real}$ data is taken from \citet{dls77,ht75b,mlt+78,dth78,mld+96,stw98} and \citet{mhth05} respectively. The LOFAR numbers are for the incoherent 25-day reference design described in the text. \end{table}