Nearest neighbour index
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Nearest Neighbour Index. Geography Settlement. What is it?. X. X. X. X. X. X. X. X. X. X. X. X. X. X. X. X. X. Rn=2.15. Rn=0.0. Rn=1.0. X. X. X. X. X. Linear Clustering (nucleated) randomregluar-uniform

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Nearest Neighbour Index

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Nearest neighbour index

Nearest Neighbour Index

Geography Settlement


What is it

What is it?

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

Rn=2.15

Rn=0.0

Rn=1.0

X

X

X

X

X

Linear Clustering (nucleated) randomregluar-uniform

______________________________________________

tendency towards clustering tendency towards regularirty

Rn=0.0

Rn=1.0

Rn=2.15

Indicates spatial distribution of area-from average distance between each point and nearest neighbour

3 types of pattern:

Regular

Clustered

Random


Formula

Formula

_

_

  • Rn=2D (N)

    A

  • D: average distance between each point & its nearest neighbour [d=each individual distance] (take all the distances between the points and find the mean)

  • N: number of studied points

  • A: size of the studied area (total area)


Example 1 flat land

Example 1-flat land


Example 1 flat land1

Example 1-flat land

_

Total distance=25.7

Area= 100km2

# of villages=12

Rn=2D (N/A)

2D :25.7/12=2.14*2=4.28

Rn=4.28(12/100)

=1.48

regular

A lot of free land on flat plains


Example 2 hilly land

Example 2-hilly land


Example 2 hilly land1

Example 2-hilly land

Total distance(average)=

Area= 100km2

# of villages=23

Rn=0.536


Drawbacks

Drawbacks

‘straight line assumption’: on a map the distances through mountains not considered

Where do you measure from? How do you determine the centre of the settlement exactly?

Measure distance by road/straight line?

What settlements to include? Size limit?

Controlling factors e.g. Soil type, relief


Practical use

Practical use?

Comparison of distributions-quantifiable measure of a distribution pattern


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