Context. Planets form during the first few Myr of the evolution of the star-disk system, possibly before the end of the embedded phase. The properties of the very young disks and the following evolution reflects the presence and properties of their planetary content. Aims. We present a study of the Class II/ F disk population in L1688, the densest and youngest region of star formation in Ophiuchus, and we compare it with other well-known nearby regions of different age, namely Lupus, Chamaeleon I, Corona Australis, Taurus and Upper Scorpius. Methods. We select our L1688 sample using a combination of criteria (available ALMA data, membership from Gaia, optical/near-IR spectroscopy) and determine stellar and disk properties, specifically stellar mass (M ), average population age, mass accretion rate ( Ṁacc ) and disk dust mass (M dust ). We apply the same procedure in a consistent way to the other regions. Results. a) In L1688 the relations between Ṁacc and M , M dust and M , and Ṁacc and M dust have a roughly linear trend with slopes 1.8-1.9 for the first two relations and ∼ 1 for the third, similarly to what found in the other regions. b) When ordered according to the characteristic age of each region, which range from ∼ 0.5 to ∼ 5 Myr, Ṁacc decreases as t −1 , when corrected for the different stellar mass content; M dust follows roughly the same trend between 0.5 and 5 Myr, but has an increase of a factor ∼ 3 at ages of 2-3 Myr. We suggest that this could result from an earlier planet formation, followed by collisional fragmentation that temporarily replenishes the millimeter-size grain population. c) The dispersion of Ṁacc and M dust around the best-fitting relation with M , as well as that of Ṁacc versus M dust are equally large. When adding all the regions together to increase the statistical significance, we find that the dispersions have continuous distributions with a log-normal shape and similar width (∼ 0.8 dex). Conclusions. This detailed study of L1688 confirms and extends to a younger age the general picture of Class II/F disk properties. The amount of dust observed at ∼1Myr is not sufficient to assemble the majority of planetary systems, which suggests an earlier planetary cores formation. The dust mass traces to a large extent the disk gas mass evolution, even if the ratio M dust /M disk at the earliest age (0.5-1 Myr) is not known. Two properties remain puzzling: the steep dependence of Ṁacc and M dust on M and the cause of the large dispersion in the three relations analyzed in this paper, in particular the one of the Ṁacc versus M dust relation.