Scala – the advantage of using abstract classes instead of traits

The short answer is that you can use multiple traits -- they are "stackable". Also, traits cannot have constructor parameters.

Here's how traits are stacked. Notice that the ordering of the traits are important. They will call each other from right to left.

class Ball {
  def properties(): List[String] = List()
  override def toString() = "It's a" +
    properties.mkString(" ", ", ", " ") +
    "ball"
}

trait Red extends Ball {
  override def properties() = super.properties ::: List("red")
}

trait Shiny extends Ball {
  override def properties() = super.properties ::: List("shiny")
}

object Balls {
  def main(args: Array[String]) {
    val myBall = new Ball with Shiny with Red
    println(myBall) // It's a shiny, red ball
  }
}

It is predominately used for Dependency Injection, such as in the Cake Pattern. There exists a great article covering many different forms of dependency injection in Scala, including the Cake Pattern. If you Google "Cake Pattern and Scala", you'll get many links, including presentations and videos. For now, here is a link to another question.

Now, as to what is the difference between a self type and extending a trait, that is simple. If you say B extends A, then B is an A. When you use self-types, B requires an A. There are two specific requirements that are created with self-types:

1. If B is extended, then you're required to mix-in an A.
2. When a concrete class finally extends/mixes-in these traits, some class/trait must implement A.

Consider the following examples:

scala> trait User { def name: String }
defined trait User

scala> trait Tweeter {
     |   user: User =>
     |   def tweet(msg: String) = println(s"$name: $msg")
     | }
defined trait Tweeter

scala> trait Wrong extends Tweeter {
     |   def noCanDo = name
     | }
<console>:9: error: illegal inheritance;
 self-type Wrong does not conform to Tweeter's selftype Tweeter with User
       trait Wrong extends Tweeter {
                           ^
<console>:10: error: not found: value name
         def noCanDo = name
                       ^

If Tweeter was a subclass of User, there would be no error. In the code above, we required a User whenever Tweeter is used, however a User wasn't provided to Wrong, so we got an error. Now, with the code above still in scope, consider:

scala> trait DummyUser extends User {
     |   override def name: String = "foo"
     | }
defined trait DummyUser

scala> trait Right extends Tweeter with User {
     |   val canDo = name
     | }
defined trait Right 

scala> trait RightAgain extends Tweeter with DummyUser {
     |   val canDo = name
     | }
defined trait RightAgain

With Right, the requirement to mix-in a User is satisfied. However, the second requirement mentioned above is not satisfied: the burden of implementing User still remains for classes/traits which extend Right.

With RightAgain both requirements are satisfied. A User and an implementation of User are provided.

For more practical use cases, please see the links at the start of this answer! But, hopefully now you get it.