Causal networks are diagrams that indicate causal connections using arrows. Here is a simple example where an arrow from A to B indicates that A is the cause of B.
Causal networks are particularly useful in showing causal processes which involve a number of different stages. Here is a diagram that shows the lifecycle of a parasite Myxobolus cerebralis that passes between trouts and mud worms, causing a so-called "whirling disease" in trouts:
In more complicated cases, the arrows are given probability assignments to indicate how likely it is that one event would lead to another. Special algorithms or programs can then be used to calculate how likely it is for a particular effect to come about. These networks with probability are known as "Bayesian networks" or Belief nets".
Fishbone diagrams are so-called because they resemble fishbones. They are also called "Ishikawa diagrams", named after Kaoru Ishikawa of Japan. A fishbone diagram is a graphical representation of the different factors that contribute to an effect. They are often used in business and management.
In a typical fishbone diagram, the effect is usually a problem to be resolved, and is placed at the "fish head". The causes of the effect are then laid out along the "bones", and classified into different types along the branches. Further causes can be laid out alongside further side branches. So the general structure of a fishbone diagram is something like this:
As an example, consider a case where a manufacturing company that receives a lot of complaints from its customers. The customers complain that the staff are not very helpful and responsive. In order to resolve this issue, it is necessary to understand the sources of the problem. We might classify the causes of the problem into four kinds: manpower issues, issues relating to the machinery used, issues relating to methods, process and management, and finally issues relating to the raw material used. Under each of these four heads, we can identify the more detailed causes that contribute to the problem. A group discussion might end up producing a diagram like this one:
Click here to see the diagram in full.
One advantage of these diagrams is that they give a big picture of the main causal factors leading to the effect. These diagrams are now often used in quality management, and in brainstorming sessions.
The ultimate court of appeal is observation and experiment... not authority.

Thomas Henry Huxley