Updating the graphics driver seems to have fixed it. Thanks!

See image. Once you load the save, moving or changing the zoom will demonstrate that the black tiles aren't being repainted.
Save file attached.

Log is attached. I was also getting this error when saving:

Saving scenario failed: ElectricNetworkSerialiser::getEnergySourceIndex, the energy source was not saved.

Whatever the problem was, restarting Factorio and reloading from my save file fixed it.

I'm on level 4 of the Tight Spot campaign. I've built my factory, but the game gives an error when I try to start it running.

I've attached my save file.

0.001 2017-04-29 18:59:53; Factorio 0.15.4 (build 29262, mac, steam)
0.001 Operating system: Mac OS X 10.12.4
0.001 Program arguments ...