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gamma_statistic

Calculate spatial autocorrelation using the Gamma statistic to analyze geographic patterns in shapefile data.

Instructions

Compute Gamma Statistic for spatial autocorrelation.

Input Schema

TableJSON Schema
NameRequiredDescriptionDefault
shapefile_pathYes
dependent_varNoLAND_USE
target_crsNoEPSG:4326
distance_thresholdNo

Implementation Reference

  • The primary handler function for the 'gamma_statistic' tool. It is decorated with @gis_mcp.tool(), loads geospatial data, computes the Gamma spatial autocorrelation statistic using esda.Gamma, handles various attribute names for results, and returns a structured response with status, message, gamma value, p-value, and data preview.
    @gis_mcp.tool()
    def gamma_statistic(shapefile_path: str, dependent_var: str = "LAND_USE", target_crs: str = "EPSG:4326", distance_threshold: float = 100000) -> Dict[str, Any]:
        """Compute Gamma Statistic for spatial autocorrelation."""
        gdf, y, w, (threshold, unit), err = pysal_load_data(shapefile_path, dependent_var, target_crs, distance_threshold)
        if err:
            return {"status": "error", "message": err}
    
        import esda
        stat = esda.Gamma(y, w)
        preview = gdf[['geometry', dependent_var]].head(5).assign(
            geometry=lambda df: df.geometry.apply(lambda g: g.wkt)
        ).to_dict(orient="records")
    
        # Gamma statistic - check for available attributes
        gamma_val = None
        if hasattr(stat, "G"):
            gamma_val = float(stat.G)
        elif hasattr(stat, "gamma"):
            gamma_val = float(stat.gamma)
        elif hasattr(stat, "gamma_index"):
            gamma_val = float(stat.gamma_index)
        
        p_val = None
        if hasattr(stat, "p_value"):
            p_val = float(stat.p_value)
        elif hasattr(stat, "p_sim"):
            p_val = float(stat.p_sim)
        
        return {
            "status": "success",
            "message": f"Gamma Statistic completed successfully (threshold: {threshold} {unit})",
            "result": {
                "Gamma": gamma_val,
                "p_value": p_val,
                "data_preview": preview
            }
        }
  • Supporting helper function 'pysal_load_data' used by gamma_statistic and other PySAL tools. Loads GeoDataFrame, reprojects, creates row-standardized distance-based spatial weights, handles islands, and returns data, values, weights, and threshold info.
    def pysal_load_data(shapefile_path: str, dependent_var: str, target_crs: str, distance_threshold: float):
        """Common loader and weight creation for esda statistics."""
        if not os.path.exists(shapefile_path):
            return None, None, None, None, f"Shapefile not found: {shapefile_path}"
    
        gdf = gpd.read_file(shapefile_path)
        if dependent_var not in gdf.columns:
            return None, None, None, None, f"Dependent variable '{dependent_var}' not found in shapefile columns"
    
        gdf = gdf.to_crs(target_crs)
    
        effective_threshold = distance_threshold
        unit = "meters"
        if target_crs.upper() == "EPSG:4326":
            effective_threshold = distance_threshold / 111000
            unit = "degrees"
    
        y = gdf[dependent_var].values.astype(np.float64)
        import libpysal
        w = libpysal.weights.DistanceBand.from_dataframe(gdf, threshold=effective_threshold, binary=False)
        w.transform = 'r'
    
        for island in w.islands:
            w.weights[island] = [0] * len(w.weights[island])
            w.cardinalities[island] = 0
    
        return gdf, y, w, (effective_threshold, unit), None
  • Resource function listing available ESDA operations including 'gamma_statistic', serving as a discovery/registration point for the tool.
    @gis_mcp.resource("gis://operations/esda")
    def get_spatial_operations() -> Dict[str, List[str]]:
        """List available spatial analysis operations. This is for esda library. They are using pysal library."""
        return {
            "operations": [
                "getis_ord_g",
                "morans_i",
                "gearys_c",
                "gamma_statistic",
                "moran_local",
                "getis_ord_g_local",
                "join_counts",
                "join_counts_local",
                "adbscan"
            ]
        }
  • Import of pysal_functions module in main.py, which triggers the registration of all @gis_mcp.tool() decorated functions including gamma_statistic via FastMCP decorators.
    from . import (
        geopandas_functions,
        shapely_functions,
        rasterio_functions,
        pyproj_functions,
        pysal_functions,
    )

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