I have 4 RF units (each in the 1GHz band) that I would like to connect to one antenna. They don't transmit at the same time.
Can I use something like the 74HC4016D to achieve this switching?
I don't switch at a high frequency (only approx. every 1/10 second), but the signal that passes through the switch has a very high frequency (1+ GHz).
Which electronic component could I use?
I doubt you can solve this with off the shelf IC's. Switching decimeter band signals is not nearly as easy as one might think. You're dealing with something in the grey area just short of where nothing behaves like you'd expect it to from a basic electronics standpoint. Unless you are a very, very skilled RF engineer, I don't see how you can possibly solve this without going electromechanical. You need a coaxial relay rated for the frequency and proper antenna cables to go with it. Unfortunately those things are costly.
You might have a look here for some ideas, if your wallet doesn't complain:
Would something like this work:
A "20 MHz-3.0 GHz GaAs SPDT Switch".
It's only about 50cent each.
Or this one (9$ each!) with 4 switches:
As I said, I really don't think so. What I'm trying to tell you is basically this: When you're planning on using IC's in the decimeter band, there are going to be issues. Every adjacent circuit board track is a capacitor. Every kink in a track is an inductor. You don't "just" design RF circuit boards. I'm not saying you can't do it. I'm just saying the results can be extraordinarily unpredictable.
OK now, the second device probably would perform the task you want, given that your RF units do not exceed 10 mW in (peak) power. Attempting to read the datasheet on the first one reliably crashes my computer, so I have no idea about it.
So the question now is - how are your capabilities with the UHF stripline design techniques required to use these ICs?
The datasheet for the part in the second link you added does show an evaluation board that you might attempt to recreate. Now I don't know what kind of RF in/outputs you are planning to connect, but it might work. Emphasis on "might". Be aware that said IC datasheet also mentions isolation minimums from 40 to 23 dB depending on frequency. Which is pretty far from impressive numbers by any standard - but it's what you get when you're trying to pipe several UHF transmission lines through a single SMD package IC.
Looking at the relays, neat stuff though they are, 4 antennas would be much cheaper.
MorganS:
Looking at the relays, neat stuff though they are, 4 antennas would be much cheaper.
+1
I believe that would be the right way to go about it too. Also, I missed the switching rate in the OP's first post. I'm pretty sure a coax relay/switch won't appreciate that too much. So I have to conclude electromechanical solutions are out, and we're looking at pin diode switching instead. Most likely even more expensive.
MorganS:
Looking at the relays, neat stuff though they are, 4 antennas would be much cheaper.
Depends on the antennas 
And it's not just the antennas. It's the antennas plus the amps. So 4 x antenna and 4 x amp. And this makes it expensive.
PIN diodes are used to switch low power RF:
You need enough voltage overhead though, not sure this works well in a 5V system.
....and they sure don't come cheap.