If you look at this picture, you can see three different types of damage to the grass, based on the colouration, and the amount of exposed soil.
The far right hand side looks like a desire line, meaning compaction from walkers.
The low-area, around the sculpture is either dog urine (most likely) or flooding, the colouration on the sculpture gives this away. Given dog's love for using vertical objects as a territory mark, I think we
have a culprit. This also makes sense as flooding in the area would discourage foot traffic and therefore you wouldn't see that kind of splashing on the sculpture.
The area to the left looks parched, the way the land slopes and the pattern of the yellow-ness does not seem consistent w/heavy food traffic, nor is it likely to be a communal pissoir for dogs.
If the irrigation system is working properly, then there is almost certainly an issue w/drainage.
Nutrient deficiency this early in the life of the sod, if it went down on good soil is exceedingly unlikely.
I can't say any of the above w/100% certainty, but I'm fairly confident in that assessment, absent further evidence.