Assuming this about ply splices, not joining whole laminates:
The overlaps are standard for strength reasons in fiber directions. However, for a UD (tape) material, there is no need for a ply overlap in the direction normal to the fibers. Typically, there is a limit on how far *apart* adjacent pieces of tape can be, to avoid gaps which resin would have difficulty filling (and maybe to keep fiber volume fraction from dropping). [NB: because UD material is usually supplied in great lengths on a roll, it is not normally necessary to have a break in continuous fibres, so an overlap splice is not usually necessary. It is woven material, with its limited width, which often needs a lot of splices.]
Note that butting plies, even in the fiber direction, has very little effect on laminate modulus. If it is stiffness designing the laminate, then the drop in strength may be acceptable.
For the splice size, roughly speaking, you have to be sure that the endload that is in the broken ply can get out of it in inter-laminar shear in the distance of the overlap (splice). Thus, the overlap is usually worked out in terms of a multiple of the ply thickness, with a chunk added on to allow for things shifting during cure.
For strong plies and weak matrix resin (e.g., UD carbon in wet epoxy at, say, 250 deg F), the overlap as a multiple of ply-thickness needs to be bigger than for weak plies and stronger resin (e.g., woven carbon in epoxy at RT). [It is the strength per unit width of the ply that determines the maximum possible load in it which would need to shear out. This is usually taken to be the ultimate allowable design stress times the thickness. The laminate's allowable inter-laminar shear strength should also be available as a design allowable.]
Similar arguments apply to the distance between ply drops, which usually affect UD material much more than splicing.
The stagger (I'm assuming this is the minimum permissible distance between splices) is more a function of common sense than it is justifiable numerately. If you put joints too close together, then the unbroken plies wind up with the little kinks in them (where they hump up and down over the splices) closer together; too close and you might get an unexpected problem and maybe poorer consolidation.
Where you cannot tolerate splices making a humpy bag-side (perhaps where a frame or other part must sit on a smooth surface), you need to either build up a sacrificial lump which can be machined back, or allow for the plies to be butted. The latter basically means making the laminate one ply thicker than it would otherwise need to be, so that the loss of the butted ply where it is broken is compensated for by the extra ply. This extra ply must of course be the same direction as the butted (broken) ply. For UD material that may mean one extra in each direction there's a butt (usually 0, 90 and +45 and -45). For woven material 0 and 90 are present in each ply, so you only need one extra in each butted 0/90 and +-45. If you have to line up the butts in more than one ply, you must add an extra ply for the "cut" fibers for each lined-up butt.
-RP.