Table 2 A statistical analysis model of the spatial distribution of traditional villages in Fujian Province.

Eq. (1)

Nearest neighbour index

\(R = \frac{{\bar{r}_1}}{{\bar{r}_E}} = 2\sqrt D \times \bar{r}_1\)

\(\bar{r}_1\) is the actual nearest-neighbour distance; \(\bar{r}_E\) is the theoretical nearest-neighbour distance; D is the point density.

The spatial distribution of traditional villages is reflected. When R = 1, traditional villages are randomly distributed; when R > 1, traditional villages tend to be uniformly distributed; when R < 1, traditional villages tend to be clustered.

Eq. (2)

Geographical concentration index

\(G = 100 \times \sqrt {\mathop {\sum }\limits_{i = 1}^n (\frac{{X_i}}{T})^2}\)

Xi is the number of subjects in the ith area; T is the total number of subjects; n is the total number of sub-districts.

The value of G ranges from 0 to 100, the higher the value, the more concentrated the distribution of traditional villages; on the contrary, the distribution of traditional villages tends to be scattered.

Eq. (3)

Imbalance Index

\(S = \frac{{\mathop {\sum }\nolimits_{i = 1}^n Y_i - 50(n + 1)}}{{100n - 50(n + 1)}}\)

Y_i is the cumulative percentage of a factor in each region ranked from the ith largest to the smallest of all regions; n is the number of regions.

Reflects the balanced distribution of villages within Fujian Province. When S = 1, the villages are all concentrated in one area; when S = 0, the villages are evenly distributed across the districts; if S takes a value between 0 and 1, the villages are unevenly distributed.