GeoGR²: Zero-Shot Geospatial Inference via Geostatistically-Guided Iterative Refinement with LLMs

Jinfan Tang, Kunming Wu, Xieruifeng Gong, Yuya He, Hu Jie, Wu Junhui, Yuankai Wu


Abstract
Standard large language model prompting treats geospatial inference as independent, instance-wise prediction, ignoring the fundamental spatial dependencies that govern geographic reality. Consequently, even advanced models struggle with spatial consistency and exhibit severe biases toward populous regions. To bridge this gap, we propose **GeoGR²** (**Geo**spatial **G**raph **R**efine **R**easoning), a framework that formalizes zero-shot geospatial prediction as an iterative message-passing process on a dynamically constructed graph. Unlike static retrieval methods, GeoGR² instantiates three dynamic operators via collaborating operators: (1) a **Topology Operator** that constructs graph topology to enforce the Spatial Markov property; (2) a **Feature Operator** that enriches nodes with task-relevant semantic covariates; and (3) an **Update Operator** that performs natural language message passing to iteratively minimize spatial discrepancy. Theoretically, we frame this refinement as a contraction mapping that approximates the fixed point of a global consistency equation. Empirically, we validate GeoGR² on diverse physical and socioeconomic tasks. Results demonstrate that by explicitly embedding geostatistical inductive biases, GeoGR² significantly outperforms standard prompting baselines, while effectively mitigating systematic geographic bias. Our framework leverages large language models’ intrinsic capacity for understanding spatial correlations through explicit topological scaffolding, without resorting to general graph reasoning paradigms.
Anthology ID:
2026.findings-emnlp.310
Volume:
Findings of the Association for Computational Linguistics: EMNLP 2026
Month:
October
Year:
2026
Address:
Budapest, Hungary
Editors:
Hung-Yi Lee, Sunipa Dev, Jessy Li, Desmond Elliott
Venue:
Findings
SIG:
SIGDAT
Publisher:
Association for Computational Linguistics
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Pages:
6560–6580
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URL:
https://aclanthology.org/2026.findings-emnlp.310/
DOI:
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Cite (ACL):
Jinfan Tang, Kunming Wu, Xieruifeng Gong, Yuya He, Hu Jie, Wu Junhui, and Yuankai Wu. 2026. GeoGR²: Zero-Shot Geospatial Inference via Geostatistically-Guided Iterative Refinement with LLMs. In Findings of the Association for Computational Linguistics: EMNLP 2026, pages 6560–6580, Budapest, Hungary. Association for Computational Linguistics.
Cite (Informal):
GeoGR²: Zero-Shot Geospatial Inference via Geostatistically-Guided Iterative Refinement with LLMs (Tang et al., Findings 2026)
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PDF:
https://aclanthology.org/2026.findings-emnlp.310.pdf