We present results of our large scale, optical, multi-epoch photometric survey of ∼ 180 square degrees across the Orion OB1 association, complemented with extensive follow up spectroscopy. Our focus is mapping and characterizing in an uniform way the off-cloud, low-mass, pre-main sequence populations. We report 2064, mostly K and M-type, confirmed T Tauri members. Most (59%) are located in the OB1a subassociation, 27% are projected onto the OB1b subassociation, and the remaining 14% are located within the confines of the A and B molecular clouds. There is significant structure in the spatial distribution of the young stars. We characterize two new clusterings of T Tauri stars, the HD 35762 and HR 1833 groups, both located in the OB1a subassociation, not far form the 25 Ori cluster. We also confirm two stellar overdensities in OB1b, I and II, containing a total of 231 T Tauri stars. A ∼ 2 deg wide halo of young stars surrounds the Orion Nebula Cluster; the north and south parts corresponding to the low-mass populations of NGC 1977 and NGC 1980, respectively. There is indication of two populations of young stars in the OB1b region, located at two different distances, which may be due to the OB1a subassociation overlapping on front of OB1b. The various groups and regions can be ordered in an age sequence that agrees with the long standing picture of star formation starting in Orion OB1a some 10-15 Myr ago.We use the strength of the Hα line in emission, combined with characteristics of IR excesses and optical variability, to define a new type of T Tauri star, the C/W class, stars we propose may be nearing the end of their accretion phase, in an evolutionary state between that of Classical T Tauri and Weak-lined T Tauri stars. The evolution of the ensemble-wide equivalent width of the Li Iλ6707 line shows the depletion of Li with a timescale of 8.5 Myr. The decline of the accretion fraction, from ∼ 2 − 10 Myr, implies an accretion e-folding timescale of 2.1 Myr, consistent with previous studies. Finally, we use the median amplitude of the V -band variability in each type of star, to show the decline of stellar activity, from the accreting Classical T Tauri stars to the population of least active field dwarfs.