# Mountain moves: Spatial interaction modelling of Bulgaria’s internal migration (1934-1992)

**Authors:** Petrus J. Gerrits, Guy Solomon, M. Erdem Kabadayi, Ana Basiri, Yuxia Wang, Ye Wei, Ye Wei

PMC · DOI: 10.1371/journal.pone.0341180 · PLOS One · 2026-03-02

## TL;DR

This study analyzes Bulgaria's internal migration from 1934 to 1992, showing how mountainous landscapes influenced migration patterns and urban growth.

## Contribution

The paper introduces a geospatial analysis combining historical census data and spatial interaction models to reveal local migration dynamics shaped by topography.

## Key findings

- Mountainous terrain constrained migration flows but supported concentrated urban growth.
- Spatial interaction models revealed migration patterns invisible at larger scales.
- Historical census data integration provides a framework for understanding landscape-migration interplay.

## Abstract

Bulgaria experienced dramatic rural decline alongside rapid urban growth during the 20th century, shaped by both demographic pressures and socioeconomic change. Today, it remains one of Europe’s fastest-declining populations, underlining the importance of understanding long-term migration dynamics. Understanding these migration dynamics is essential for interpreting the country’s broader population shifts. This study provides a spatial analysis of internal migration in Bulgaria from 1934 to 1992. We construct a harmonised geocoded census settlement dataset, combining historical population records with geospatial settlement boundaries, road network data, and terrain ruggedness measures. Distances between settlements are calculated using both Euclidean and road-network measures, and terrain effects are quantified through terrain ruggedness indices. Migration flows are estimated using spatial interaction models (SIMs), parameterised by population scaling and distance decay functions. Model outputs are validated against historical benchmarks and aggregated regional flows, as well as on the settlement level, by intercensal period variability, ensuring robustness between the intercensal periods. Our analysis investigates the role of challenging topography in shaping migration flows, showing how mountainous landscapes constrained movement while facilitating concentrated urban growth. By integrating historical census records with spatial modelling and geospatial analysis, we uncover local migration dynamics that remain invisible at larger scales. Although our study does not offer direct policy advice, it provides a quantified geospatial perspective on historical context for contemporary policy debates and urban planning initiatives in a country that has experienced both significant rural decline and rapid urbanisation. The findings shed new light on Bulgaria’s population history and provide a framework for understanding the interplay between landscape features and migration dynamics.

## Full-text entities

- **Genes:** TRI-AAT9-1 (tRNA-Ile (anticodon AAT) 9-1) [NCBI Gene 7202] {aka TRI, TRNAI1}
- **Diseases:** Page 5 (MESH:D008232)
- **Chemicals:** 23423R1 (-)
- **Species:** Homo sapiens (human, species) [taxon 9606], Meleagris gallopavo (common turkey, species) [taxon 9103]
- **Mutations:** start of 2024, S01795X
- **Cell lines:** Sofia — Mus musculus (Mouse), Mouse erythroid leukemia, Cancer cell line (CVCL_4344)

## Full text

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## Figures

10 figures with captions in the complete paper: https://tomesphere.com/paper/PMC12952610/full.md

## References

60 references — full list in the complete paper: https://tomesphere.com/paper/PMC12952610/full.md

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Source: https://tomesphere.com/paper/PMC12952610