4.6.3 Structural Properties of the Price Relation Matrix

4.6.3 Structural Properties of the Price Relation Matrix

The Price Relation Matrix inherits the principal structural characteristics of the Value Relation Matrix while expressing these relationships in the domain of land prices.

First, the PRM preserves spatial consistency, ensuring that neighboring locations with similar value relationships maintain coherent price relationships.

Second, the PRM preserves network continuity, allowing transportation infrastructure and accessibility to continue influencing the distribution of land prices through the spatial interaction mechanisms represented by the ULVF.

Third, the PRM maintains hierarchical consistency, reflecting the influence of urban value centers on the organization of land prices across multiple spatial scales.

Finally, the PRM remains dynamically adaptable, enabling land-price relationships to evolve in response to changes in transportation systems, land-use patterns, socio-economic activities, environmental conditions, and planning policies.

These structural properties ensure that land prices generated through the ULVF framework remain theoretically consistent with the underlying mechanisms of urban value formation.