Lyapunov exponent of "real life" Today I simply forgot watching soccer WM on TV, and promptly my national team lost. Assume there is a meaningful alternative universe where I turned on the TV (quantum and relativity theorists already might protest - just assume it) and nothing else changed at the time of kick-off. A ripple of changes now will propagate with lightspeed. I assume weather will show the fastest effects, but how fast will it take that a macroscopic event like a soccer game shows visible changes? (This surely can't be computed, but a Fermi style estimation would completely satisfy me.)
Or more general: How fast does a tiny human action change the vicinity macroscopically due to the chaos butterfly effect?
 A: You're asking about "Lyapunov time", which gives you the time scale for chaos to be noticeable. For the weather it's on the order of days, perhaps two weeks tops.
Wikipedia has a nice table with such values:




System
Lyapunov time




Solar System
5 million years


Pluto's orbit
20 million years


Obliquity of Mars
1–5 million years


Orbit of 36 Atalante
4,000 years


Rotation of Hyperion
36 days


Chemical chaotic oscillations
5.4 minutes


Hydrodynamic chaotic oscillations
2 seconds


1 cm3 of argon at room temperature
3.7×10−11 seconds


1 cm3 of argon at triple point (84 K, 69 kPa)
3.7×10−16 seconds




As for the OP's title question (the LE of "life"), the trouble is that this disproportionate effect that chaos allow tiny changes to have means that large changes can take place — but not that everything is different because something tiny is different.
And especially in such a large system (essentially the whole world) not everything is strongly connected and what is going on in some subsystems, chaotic or not, is unlikely to meaningfully affect the larger world. Also, parts of it are certainly not chaotic (most of what we build, for instance, is linear or intended to at least be predictable). And lastly, many connections are not reciprocal — the actions of a given soccer team may affect some millions of people, but one of them forgetting to watch a soccer game will in most cases have precisely zero influence on the team.
