OK, some facts:
LDPE is susceptible to UV degradation and needs to be kept out of the sun if it is to have a long life.
en.wikipedia.org/wiki/UV_degradation
But the Flexiliner Pond Liner product readily available in the UK (e.g. from Pond Keeper) has a coating on it (both sides) that the distributor claims is UV and rot resistant. "UV Stabilised for long outdoor life" they say. A liner to cover my roof will cost about 50 GBP (about 4.5 ounces of silver), delivered.
So I think I will go ahead with that liner - I can't justify the expense of the EPDM.
Yes, it's a bodger's workshop. (Among many other things!)
As you will see from the other thread (which was about structural issues), my design is nowhere near strong
enough for a proper green roof. As a fallback, I have bought some old-school hessian (aka burlap) sandbags to fill with soil. I intend to place a row of them along the two uphill edges of the roof, to grow plants/weeds and visually break up the straight edge of the roofline. The downhill edges will have guttering to
feed my rainwater tank. I'm going to fold the liner under the roof boards (10cm all round) and screw a thin 25mm batten onto the very edge of the underside, so keeping the liner in place without puncturing it on the upper surface. The plan is for the batten to be directly above the guttering, so drips
should be arrested by the batten and not creep round onto the underside of the boards.
Obviously, autumn (fall) leaves will inevitably accumulate on a flat roof like this. The chances of it staying clean and sterile are zero - there will be a green slime on it before long. The upside is that the leaf mould will provide more UV protection. The downside is that the leaves will hold water and slow down roof drainage, so I may have to go up there and remove them myself. I will just have to see how it goes. We don't get heavy snow.
Thanks for your replies Glenn, Allen. When I finally get round to finishing this I will post another photo and I will try to remember to update this post next year to report on how it went.