Line Data Analysis

1. Network consists of a number of line segements that are interconnected
2. Each line segment is defined by a start or ened nodes which is topologically related.
3. A line segement may contain intermediate points of known locations, known as vertices which refine the shape of the segement.

Strahler-stream ordering network
- All fingertip tributaries are given first order 

Order

- 2nd, 3rd, 4th, etc order streams are defined by increasing the order of each time 2 streams of equal order meet 1+1=2, 2+2=3, 3+3=4, etc.

Lower order

- A stream can receive tributaries of lower order without any change in its order, a 3rd order stream joining a 1st or 2nd order stream still maintains its 3rd order. 

Strahler outcome can be analyzed in 2 ways:

1. highest order: a network with a higher highest stream order has more streams in its network than a network with a lower highest stream order.
2. Bifurcation ratio between stream order: A higher bifurcation ratio indicates a much denser lower order streams in the network.

The simplest measure is the density index which involves length and area however in terms of network it is very ill-connected

Elementary Graph Theory Measures

• reducing circuit network to graphs, we ar able to use measures developed in graph theories to compare set of network.
• 4 basic quantities :

1. e : the number of edges
2. v: the number of vertices 
3. p: the number o fsepearate non-connecting sub-graphs, in most cases equals to 1
4. m: the total network length

• The measure developed in graph theory are: 

1. B index
2. a index
3. y index
4. n index
5. network diameter