Table 2 GIS spatial analysis tools for researching Tibetan Buddhism PSMS

From: Spatial distribution characteristics of Tibetan Buddhism principal-subordinate monastery systems in the Hehuang region

Method name

Basic principle

Application scenario

Usage in this study

Citation

Average Nearest Neighbor

Calculates the average distance from each spatial feature to its nearest neighbor

Spatial distribution pattern analysis

Used to identify spatial clustering patterns of monasteries in the Hehuang region, considering all monasteries, monasteries from different sects, and monasteries within different PSMS

[59, 60]

Kernel Density Estimate

Estimates the distribution density of a feature in space

Hotspot identification, resource distribution studies

Utilized to explore spatial clustering areas from both a holistic perspective and within different sects. By calculating monastery density within each geographic grid unit, density heatmaps are generated to visually showcase areas of monastery concentration, sparsity, as well as potential diffusion or clustering patterns

[61,62,63,64]

Aggregation Centers and Deviations

Describes the distribution direction and range of spatial data

Spatial distribution characteristic analysis

Utilized to investigate the spatial centers of PSMS and their spatial distribution orientations, thereby providing spatial quantification data support for the influence centers and directions of these systems

[65,66,67,68,69,70]

Neighborhood Analysis

Analyzes other features in the vicinity of a specific spatial feature

Proximity analysis, spatial relationship studies

Used to verify the coincidence and correlation between the mean centers identified in the above steps and the principal monasteries of their respective PSMS. Through nearest neighbor analysis, the closest principal monastery to the mean center of each PSMS was identified, and the spatial distance between these points was measured

[71, 72]

Buffer Analysis

Establishes a buffer zone of fixed distance around a geographic entity

Influence range analysis, proximity issues

Used to determine the spatial distribution range of each PSMS under the influence of the principal monasteries. This method quantifies and validates the extent and intensity of influence exerted by each system

[73, 74]

Univariate chi-square test

Compare the observed frequencies in categorical data to the expected frequencies under a specific hypothesis

Testing observed vs. expected frequencies

Used to examine the correlation between the spatial distribution of PSMS and natural influencing factors such as elevation and hydrology

[75, 76]