Thiele and Small
Thiele and Small worked out the mathematics for low frequency behavior in loudspeakers and evidently their work became well known in the early 1970s. Designing ported loudspeakers became less a matter of trial and error and more a matter of designing and achieving predictable results.
Also in the early 70s, some started using computer aided design techniques, which was possible because the mathematics was known. I had the old Kef 104, which I believe was about the first to employ such technology (1973). It had a passive radiator rather than a port, and it had quite good low frequency extension for a large bookshelf speaker, with useful bass down to about 30 Hz.
The bass driver in a ported speaker is not controlled below the resonance, if I understand it, and with record warps and such, this could cause problems with the undamped driver flapping away at frequencies too low for it to reproduce and sometimes causing intermodulation distortion. This could also potentially damage the woofer. I know I got a pair of WarpKnots (low filters rolling off 6 dB per octave below 30 Hz) for my old Kefs as a safety measure, though I really had little problem. I still use 'em for records.
With a sealed speaker, the air trapped in the speaker enclosure helps protect the woofer from large excursions which could potentially damage them.
Digital recordings do not have record warps (down in about the 8-14 Hz range) and so this sort of thing is seldom a problem, although if you try to get a small ported speaker to reproduce high level 16 Hz tones from 32 foot organ pedals, you could have a problem.
http://en.wikipedia.org/wiki/Thiele/Small
If you do a Google search, you will probably find more than you want to know about them. Some of the DIY speaker folks should be able to tell you more.