.When the 1000w HID came out in 1977-78, it was recommended for a 4 x 4 area. A 600w is best in a 3 x 3 area. Will they work in a bit larger area?? Yep. But Manufacturers like Hortilux say their 1000w HPS bulbs are recommened for a 4 x 4 area.
A 1000w Hortilux is 62w Sq/ft in a 4 x 4 area, and a 600w is 66w sq/ft in a 3 x 3.
When Gavita came out with the 1700e LED it was marketed as replacing a single ended 1000w HID in a 4 x 4 area. A 1000w Hortilux HPS is 1630umol, and a Gavita 1700e is 1700umole.
In a 5 x 5 area a 1000w HID is only 40w sq/ft.
A 600w in a 4 x 4 area is only 39w sq/ft
From what Ive read the minimum watts sq/ft for an HID is 52w sq/ft. Which would be a 4.4 x 4.4 area. Or 19.3 sq/ft. And thats minimum.
In a 5 x 5 a 1000w HID with a Hortilux HPS bulb is 64umol sq/ft.
In a 4 x 4 area its 101.8umol sq/ft.
At the equator the sun, is 2000umol sq/meter. 1 sq/m=10.7 sq/ft. At that rate the sun is 186.9umol sq/ft at the equator.
Your 4 x 4 space at optimum requires 500w, of which they dont make, and wont cover the 4ft length. I myself would try and run a 600w HID in there, and maximize the 3 x 2 area, and then whatever I got in the extra 1 foot of length is what I would get. And if the tent has good reflection, this will go a long way in optimizing the extra foot in length.
An HLG 350R would be a good alternative LED for a 4 x 2 area. $550.