Streams are a more efficient way of using groups. 
POP Group DOPs are generally used if you only want to affect particles a couple of times. 
POP Stream DOPs are more useful when you want to do several things to a group of particles. If you press 
on the solver, you can see the names of all the streams in the network. By default, stream names are the same as the nodes that create them.
A stream is basically a group that you can split off into a separate chain and then merge back together before the solver, which is useful when trying to determine what is happening in the network. It also prevents you from having to reference the group in each node you want to affect.
For example, say you have a POP Location DOP followed by a 
POP Color DOP node to color the particles blue. Then you create a separate POP Stream DOP with a rule ingroup = @P.y < -5; and another POP Color node to color the particles yellow. This means that any time the particles drop below a certain point, they will turn yellow. You can wire both streams into a 
Merge DOP and into the 
POP Solver DOP.
This is more apparent if you add a 
POP Force DOP to the yellow_particles stream to push the particles back up, which are then dragged down by gravity. The Force parameter values in the image below are 4,20,0.
You could go even further and create another POP Stream with a rule ingroup = @P.x > 12; and another POP Color node to color the particles white. This means that any time the particles pass 12 on the X axis, they will turn white.
One of the benefits of using streams instead of groups is that it’s very easy to see the breakdown of what is happening in the network. If groups were used to do this, everything would be in a single chain.
To better understand how streams work, if you disconnect popstream2 from the POP Location and connect it to the bottom of the popstream1 chain, you can see that the both rules are followed. Now, any time the particles drop below a certain point and are past 12 on the X axis, they will turn orange.
Note
There can only be one, solid wire from every generator node to the POP Solver If you don’t have a solid path, the generator will not be run. If you have multiple solid paths, it may run multiple times. Some nodes like POP Stream and 
POP Replicate DOP can create reference inputs, which are displayed as dotted lines. These can be used to start new streams that are subsets of other streams.
Streams are implemented by creating point groups. The parameter named streamname on a POP node informs the system that this node is expected to create a group called stream_chs("streamname") Usually this defaults to $OS, allowing for sensibly named streams. Since point groups are used, it is possible for a particle to belong to more than one stream. However, when applying a POP node, all the streams will be joined together. So even if a particle is in more than one stream, it will still only be affected by the POP node at most once.
If a POP node has no stream input, i.e., no up-chain nodes have a streamname parameter, it will then apply to all the particles. Therefore, POP Force with no inputs will apply to all particles. While you can restrict the POP Force to a subset using the group option, successive nodes will not be restricted to that group, their stream will be the entire set of particles.
Tip
The 
POP Attract DOP node can refer to other streams in sibling chains.
