Yep. Both natural and artificial seawater are buffered by the same dissolved compounds electrolytes, predominantly carbonate and borate. The reserve of these buffers is what you're measuring when you measure alkalinity.
There are several factors working to reduce your tank's buffering. The production of CO2 and nitrate by your pets has a tendency to acidify the water and reduce your "alkali reserve." Carbonate is also required for building coral skeletons and snail shells, so it has to be replenished in a tank with invertebrates. Other factors, such as the presence of macroalgae, can push the tank toward a higher pH.
Although it's really a complex topic, water changes help a lot to keep things where they should be. In my experience, if you keep your alkalinity between 3 and 4, the pH will take care of itself.