  Recent work found high mutual information between the learned representations
of large language models (LLMs) and the geospatial property of its input,
hinting an emergent internal model of space. However, whether this internal
space model has any causal effects on the LLMs' behaviors was not answered by
that work, led to criticism of these findings as mere statistical correlation.
Our study focused on uncovering the causality of the spatial representations in
LLMs. In particular, we discovered the potential spatial representations in
DeBERTa, GPT-Neo using representational similarity analysis and linear and
non-linear probing. Our casual intervention experiments showed that the spatial
representations influenced the model's performance on next word prediction and
a downstream task that relies on geospatial information. Our experiments
suggested that the LLMs learn and use an internal model of space in solving
geospatial related tasks.
