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Grid indicators

jeremy-b edited this page Jan 15, 2024 · 8 revisions

The table grid_indicators contains the grid cell identifier (id_grid) and a certain number of indicators described below. When calculating grid indicators, you can calculate only a subset of these indicators. The whole list is the following: ["BUILDING_FRACTION", "BUILDING_HEIGHT", "BUILDING_POP", "BUILDING_TYPE_FRACTION", "WATER_FRACTION", "VEGETATION_FRACTION", "ROAD_FRACTION", "IMPERVIOUS_FRACTION", "FREE_EXTERNAL_FACADE_DENSITY", "BUILDING_HEIGHT_WEIGHTED", "BUILDING_SURFACE_DENSITY", "SEA_LAND_FRACTION", "ASPECT_RATIO", "SVF", "HEIGHT_OF_ROUGHNESS_ELEMENTS", "TERRAIN_ROUGHNESS_CLASS", "UTRF_AREA_FRACTION", "UTRF_FLOOR_AREA_FRACTION", "LCZ_PRIMARY"].

BUILDING_FRACTION

Corresponding name in the table: BUILDING_FRACTION

Description: Total building fraction. If superimposed with other layers, it is not counted twice. Instead, the following priorities are used: "water", "building", "high_vegetation", "low_vegetation", "road", "impervious".

Method: SUM(Bu_Area after superimposition removal) / Cell_Area

HIGH_VEGETATION_FRACTION

Corresponding name in the table: HIGH_VEGETATION_FRACTION

Description: Total high vegetation fraction. If superimposed with other layers, it is not counted twice. Instead, the following priorities are used: "water", "building", "high_vegetation", "low_vegetation", "road", "impervious".

Method: SUM(High_veg_Area after superimposition removal) / Cell_Area

LOW_VEGETATION_FRACTION

Corresponding name in the table: LOW_VEGETATION_FRACTION

Description: Total low vegetation fraction. If superimposed with other layers, it is not counted twice. Instead, the following priorities are used: "water", "building", "high_vegetation", "low_vegetation", "road", "impervious".

Method: SUM(Low_veg_Area after superimposition removal) / Cell_Area

ROAD_FRACTION

Corresponding name in the table: ROAD_FRACTION

Description: Total road fraction. If superimposed with other layers, it is not counted twice. Instead, the following priorities are used: "water", "building", "high_vegetation", "low_vegetation", "road", "impervious".

Method: SUM(Road_Area after superimposition removal) / Cell_Area

IMPERVIOUS_FRACTION

Corresponding name in the table: IMPERVIOUS_FRACTION

Description: Total impervious fraction (other than roads). If superimposed with other layers, it is not counted twice. Instead, the following priorities are used: "water", "building", "high_vegetation", "low_vegetation", "road", "impervious".

Method: SUM(Impervious_Area after superimposition removal) / Cell_Area

BUILDING_HEIGHT_WEIGHTED

Two indicators are calculated: average building height and standard deviation building height.

The first:

Corresponding name in the table: AVG_HEIGHT_ROOF_AREA_WEIGHTED

Description: Mean building’s roof height within the RSU (the building heights being weighted by the building areas)

Method: SUM(Bu_Wall_Height * Bu_Area) / SUM(Bu_Area)

The second:

Corresponding name in the table: STD_HEIGHT_ROOF_AREA_WEIGHTED

Description: Variability of the building’s roof height within the RSU (the building heights being weighted by the building areas)

Method: By default, the indicator of variability is the Standard Deviation (STD) defined as :

SUM(Bu_Area*(Bu_Wall_Height - AVG_HEIGHT_ROOF)^2)) / SUM (Bu_Area)

BUILDING_HEIGHT

Two indicators are calculated: average building height and standard deviation building height.

The first:

Corresponding name in the table: AVG_HEIGHT_ROOF

Description: Mean building’s roof height within the grid cell

Method: SUM(Bu_Wall_Height) / SUM(Bu_Area)

The second:

Corresponding name in the table: STD_HEIGHT_ROOF

Description: Standard deviation building’s roof height within the grid cell

Method: SUM(Bu_Wall_Height) / SUM(Bu_Area)

BUILDING_SURFACE_DENSITY

Corresponding name in the table: BUILDING_SURFACE_DENSITY

Description: All building facades (free facades and roofs) included in a grid cell divided by the cell area

Method: building_fraction + free_external_facade_density

FREE_EXTERNAL_FACADE_DENSITY

Corresponding name in the table: FREE_EXTERNAL_FACADE_DENSITY

Description: Sum of all building free facades (roofs are excluded) included in a grid cell, divided by the cell area.

Method: SUM(Bu_TotalFacadeLength * HEIGHT_WALL) - SUM(Bu_SharedFacadeLength * MIN(height_wall_Bu1, height_wall_Bu2)) / cell_Area

SEA_LAND_FRACTION

Two indicators are calculated: the sea and the land fractions.

The first:

Corresponding name in the table: LAND_FRACTION

Description: Sum all patches of land that are in a grid cell (land coming from the sea_land_mask layer) and divide by the cell area

Method: SUM(Land_Area) / Cell_Area

The second:

Corresponding name in the table: SEA_FRACTION

Description: Sum all patches of sea that are in a grid cell (sea coming from the sea_land_mask layer) and divide by the cell area

Method: SUM(Sea_Area) / Cell_Area

ASPECT_RATIO

Corresponding name in the table: ASPECT_RATIO

Description: aspect ratio such as defined by Stewart et Oke (2012): mean height-to-width ratio of street canyons (LCZs 1-7), building spacing (LCZs 8-10), and tree spacing (LCZs A - G).

Method: A simple approach based on the street canyons assumption is used for the calculation. The sum of facade area within a given grid cell area is divided by the area of free surfaces of the given grid cell (not covered by buildings).

Cell_free_external_facade_density / (1 - Cell_building_fraction)

GROUND_SKY_VIEW_FACTOR

Corresponding name in the table: GROUND_SKY_VIEW_FACTOR

Description: Grid cell ground Sky View Factor such as defined by Stewart et Oke (2012): ratio of the amount of sky hemisphere visible from ground level to that of an unobstructed hemisphere. In our case, only buildings are considered as obstructing the atmosphere.

Method: The calculation is based on the ST_SVF function of H2GIS using only buildings as obstacles and with the following parameters: ray length = 100, number of directions = 60. Using a uniform grid mesh of 10 m resolution, the SVF obtained has a standard deviation of the estimate of 0.03 when compared with the most accurate method (according to Bernard et al. (2018)).

Using a grid of regular points, the density of points used for the calculation actually depends on building density (higher the building density, lower the density of points). To avoid this phenomenon and have the same density of points per free ground surface, we use an H2GIS function to distribute randomly points within free surfaces (ST_GeneratePoints). This density of points is set by default to 0.008, based on the median of Bernard et al. (2018) dataset.

References:

EFFECTIVE_TERRAIN_ROUGHNESS_LENGTH

Corresponding name in the table: EFFECTIVE_TERRAIN_ROUGHNESS_LENGTH

Description: Effective terrain roughness length (z0).

Method: The method for z0 calculation is based on the Hanna and Britter (2010) procedure (see equation (17) and examples of calculation p. 156 in the corresponding reference). The cell_frontal_area_index_distribution_Hx_y_Dw_z is used to calculate the mean projected facade density (considering all directions) and z0 is then obtained multiplying the resulting value by the cell_geometric_mean_height.

Warning: With the current method, if a building facade follows the line separating two grid cells, it will be counted for both grid cells (even though this situation is probably almost impossible with a regular rectangular grid).

References:

EFFECTIVE_TERRAIN_ROUGHNESS_CLASS

Corresponding name in the table: EFFECTIVE_TERRAIN_ROUGHNESS_CLASS

Description: Effective terrain class from the effective terrain roughness length (z0). The classes are defined according to the Davenport lookup Table (cf Table 5 in Stewart and Oke, 2012)

Method: The Davenport definition defines a class for a unique z0 value (instead of a range). Then there is no definition of the z0 range corresponding to a certain class. We have arbitrarily defined the boundary between two classes as the arithmetic average between the z0 values of each class.

Warning: The choice for the interval boundaries has been made arbitrarily. A definition of the interval based on a log profile of class = f(z0) could lead to different results (especially for classes 3, 4 and 5).

References:

UTRF_AREA_FRACTION

Several indicators result from this choice. They are identical as the ones described in the UTRF output table.

UTRF_FLOOR_AREA_FRACTION

Several indicators result from this choice. They are identical as the ones described in the UTRF output table.

LCZ_PRIMARY

Several indicators result from this choice. The LCZ are calculated at the RSU scale and then aggregated to the most represented LCZ at grid cell scale. The LCZ fraction corresponding to each type is also an output, as well as the uniqueness. The resulting indicator is the following:

Corresponding name in the table: LCZ_UNIQUENESS_VALUE

Description: Indicates how unique is the LCZ type attributed to a given grid cell

Range of values: [0, 1] - the higher the value, the more unique is the LCZ type

Method: | Area_First_LCZ - Area_Second_LCZ | / (Area_Second_LCZ + Area_First_LCZ)

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