Good and interesting question, and I would like to know too, but a couple of points here - You probably meant to say this but, obviously, there has to be a usa

Good and interesting question, and I would like to know too, but a couple of points here - You probably meant to say this but, obviously, there has to be a usage time variable in the calculation somewhere. They will presumably have a lifespan where they can be deployed outdoors without replacement/maintenance, and perhaps this lifespan itself but certainly the average hours usage per day will then vary with climate. There might be tradeoffs in the design and materials used which increase durability but lower yield, but then affect energy required to produce, etc, etc. My point is that it's really quite complex and I'm quite sure there is no one answer, especially with the technology changing (improving) all the time. - You have to walk before you can run. Even supposing there is a deficit today, the only way we get to a future where there is an energy surplus with solar tech is by deploying the not-good-enough-yet tech today and improving it through iteration to the point where it is good enough. Again, then whether it is worth pursuing or not depends a bit also on that (predicted) rate of improvement.