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We explore the evolution of the statistical distribution of galaxymorphological properties and colours over the redshift range $0.5<z<1$,combining high-quality imaging data from the CFHT Legacy Survey with the largenumber of redshifts and extended photometry from the VIPERS survey. Galaxystructural parameters are measured by fitting S\'ersic profiles to $i$-bandimages and then combined with absolute magnitudes, colours and redshifts, totrace the evolution in a multi-parameter space. We analyse, using a new method,the combination of colours and structural parameters of early- and late-typegalaxies in luminosity--redshift space. We found that both the rest-framecolour distributions in the (U-B) vs. (B-V) plane and the S\'ersic indexdistributions are well fitted by a sum of two Gaussians, with a remarkableconsistency of red-spheroidal and blue-disky galaxy populations, over theexplored redshift ($0.5<z<1$) and luminosity ($-1.5<B-B_*<1.0$) ranges. Thecombination of the UBV rest-frame colour and S\'ersic index $n$ as a functionof redshift and luminosity allows us to present the structure of early- andlate-type galaxies and their evolution. We found that early type galaxiesdisplay only a slow change of their concentrations since $z\sim1$; it isalready established by $z\sim1$ and depends much more strongly on theirluminosities. In contrast, late-type galaxies get clearly more concentratedwith cosmic time since $z\sim1$, with only little evolution in colour, whichremains dependent mainly on their luminosity. This flipped luminosity (mass)and redshift dependence likely reflects different evolutionary tracks of early-and late-type galaxies before and after $z\sim1$. The combination of rest-framecolours and S\'ersic index $n$ as a function of redshift and luminosity leadsto a precise statistical description of the structure of galaxies and theirevolution.

The VIMOS Public Extragalactic Redshift Survey (VIPERS). The coevolution of galaxy morphology and colour to z~1