I often see statistics that "people are only productive four hours/day", but they never seem to cite their sources. The studies I’ve tracked down are low quality (example). 30 minutes poking around google scholar produced nothing useful. Where are the high quality studies showing how long people can work productivity?
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Note: I’m going to be talking about productivity in the sense of hard work. Eg. Anders Ericsson’s idea of deliberate practice. It seems self-evident that if you’re performing busywork like data entry or cleaning, you could be productive for way longer than four hours/day. It also seems self-evident that in doing something in between busywork and hard work, you can still be productive for more than four hours/day. For example, a calculus student doing tons of practice problems, or an experienced web developer building a simple sign up form. So then, it seems to make sense to me to deal with the question of hard work. Pushing yourself to the edge of your comfort zone, or perhaps slightly beyond it. For example, mastering a difficult new concept or skill. Of course, when we talk about hard vs easy work, we’re talking about a spectrum, so "hard work" really refers to a general area in that spectrum, not a single point. The answer to the question of how many productive hours you have in a day probably depends a little bit on where exactly you are on that spectrum, but getting into that nuance seems like something more appropriate for a different question. Here, it seems like it’s worth just grouping "hard work" together and treating it as a single thing.
Note: As jimrandomh mentions, things like age, physical health and motivation probably matter, as do things like performance enhancing substances or techniques. It seems to me like it’d make sense to address those things in different question though. Eg. here I think we can ask the question of how many productive hours a healthy individual who isn’t doing any performance enhancing stuff has in a day. Then in a separate question, we can ask how things like age and physical health impact this number. And in another separate question, we can ask how things like performance enhancing substances impact the number.
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After about an hour of googling around, **I haven’t been able to find any of those high quality studies either. My impression is that the "people are only productive for four hours/day" idea largely comes from interviewing successful people, as opposed to rigorously measuring their performance. **If there were high quality studies that really measured performance, I’d expect that they would be talked about more and easier to find, so I take the fact that they’re hard to find as reasonably strong evidence that they don’t really exist.
Why I believe this
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I would emphasise that you can be productive for far more than 4 hours a day. For example doing routine clerical work. But there does seem to limits on work at deliberate practice level or above. If you disagree, install Anki on your phone and download or make a deck of some things you are interested in memorizing. Keep adding cards until you have done 4 hours according to Anki (clock time may be 50% longer as you goofed off at various times without realizing it). Now do this for a week and report back. Often people will say they practice violin for 6 hours, but you will usually find that there is a lot of down time in there.
The place I got this statistic (or something like it) from was the RescueTime blog. Here is the easiest-to-find post I could find in 60 seconds making the claim, and other blogposts might poke at it more. The most relevant quote:
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I’m hoping for something that can definitively say "productivity drops after N hours", or at least examines that question, rather than "we checked and people only do N hours of work/day". Maybe people can do more than N if they feel like it, in which case it’s not a matter of how much the brain is capable of but of motivation.
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Nod. I recall seeing studies making more concrete claims about burnout, overtime, etc, which seem more like what you were claiming. I can’t do more than google randomly for such studies at the moment which seemed less useful. I also don’t recall those studies matching the claims about 4 hours in particular. (That said, another source of the four-hour thing is the book Peak, which claims you get four hours of deliberate practice a day, which is a somewhat different claim)
But note that RescueTime’s data only covers time spent on a computer, which is only a subset of productive work time; there are also meetings, work on paper, and things like that.
It heavily depends on how hard one’s work is and how much time one has. From my personal experience: