Saturation index

The Service Saturation Index is the report’s composite for one equity question: which tracts carry more of the district’s supportive housing, mental-health sites, and food pantries than the district average, relative to population.

It is a density index. It is not a count of supportive units divided by an eligible population, and it does not by itself say whether the stock exceeds modeled demand. The report uses it as a siting test: pause new supportive housing where the index is high, and steer it toward tracts where the index is low and the services are missing.

Definitions

For tract i:

  • MH is mental-health and behavioral-health sites per 1,000 residents.
  • SH is permanent supportive housing units per 1,000 residents.
  • FP is food pantries and emergency food providers per 1,000 residents.

The barred terms are the district averages of those same rates. Population, the denominator of each rate, comes from the census pipeline.

How the index is calculated

SSI = (0.4 × MH / MH̄ + 0.4 × SH / SH̄ + 0.2 × FP / FP̄) × 100

Each term is a ratio. Divide the tract’s rate by the district rate, weight the ratio, add the three weighted ratios, and multiply by 100.

An index of 100 means the tract matches the district average on this composite. The check is direct: if the tract’s three rates equal the district rates, each ratio is 1, the weights sum to 1, and the index is 100. Above 100, the tract’s composite rate is higher than the district average. Below 100, it is lower.

The weights are policy weights. Mental-health sites and supportive housing each receive 0.4 because the report treats them as the facilities with the heavier land-use and round-the-clock presence. Food pantries receive 0.2 because the report treats them as essential and smaller in footprint. The weights are not estimated from a regression. They sum to 1.

The rates themselves come from a count of sites or units in the tract, divided by the tract population, times 1,000. Mental-health sites and food sites are counted below from the NYC Facilities Database. The supportive-housing term is a unit count. That unit count is not in the facility file, so the index is not scored.

Site counts

A mental-health site is an address with a facility type that names mental health, a psychosocial club, or on-site rehabilitation. A food site is an address whose type is a food pantry or a soup kitchen. A supportive-housing site is an address whose type names supported housing, a supported SRO, or NY/NY III supported housing. Program rows at one address count once. Feeding sites and rows labeled only as housing support are left out.

After addresses for the same building are combined, community district 109 has 5 mental-health sites and 10 food sites. The file also lists 6 supportive-housing sites. Capacity is 0 on every counted row, so those supportive-housing rows stay sites and are not turned into units. The district rates divide 5 and 10 sites by the district population of 112,774: 0.04 mental-health sites and 0.09 food sites per 1,000 residents. Those are pooled rates, total sites divided by total population, not an average of the tract rates. Summer-only feeding sites, the other feeding site, and rows labeled only as housing support are in the download and are not counted.

1090 Amsterdam Avenue is also coded to tract 199; it is counted once, in tract 197.01. 1727 Amsterdam Avenue is also coded to tract 229; it is counted once, in tract 231.

Tract Mental-health sites Food sites Supportive-housing sites Population Mental-health sites per 1,000 Food sites per 1,000
197.01 1 1 0 999 1.00 1.00
199 0 1 0 9,013 0.00 0.11
201.01 1 0 0 1,976 0.51 0.00
203 0 0 0 3,930 0.00 0.00
205 0 2 0 5,606 0.00 0.36
207.01 0 0 0 2,856 0.00 0.00
209.01 0 1 0 3,382 0.00 0.30
211 0 0 0 10,222 0.00 0.00
213.03 1 2 2 6,381 0.16 0.31
217.03 0 0 0 211 0.00 0.00
219 0 0 0 5,400 0.00 0.00
223.01 0 0 0 7,270 0.00 0.00
223.02 0 0 0 2,998 0.00 0.00
225 0 0 2 10,605 0.00 0.00
227 1 1 2 5,694 0.18 0.18
229 0 0 0 8,471 0.00 0.00
231 1 1 0 6,824 0.15 0.15
233 0 0 0 7,181 0.00 0.00
235.01 0 1 0 7,177 0.00 0.14
237 0 0 0 6,578 0.00 0.00

Supportive-housing sites. The units column is blank because the file does not contain a unit count:

Operator Address Tract Facility type Units
Project Renewal Inc 351 West 126 Street 213.03 NY NY III SUPPORTED HOUSING-OASAS —
Center for Urban Community Services Inc. 414 West 127 Street 213.03 ON-SITE REHABILITATION-OMH, ASSISTED COMPETITIVE EMPLOYMENT-OMH, ADVOCACY SERVICES-OMH, SUPPORTED SRO-OMH —
West Harlem Group Assistance Inc 1652 Amsterdam Avenue 225 SUPPORTED HOUSING-OMH —
The Fortune Society Inc 625 West 140 Street 225 SUPPORTED SRO-OMH —
Goddard Riverside Community Center 131 Edgecombe Avenue 227 PSYCHOSOCIAL CLUB-OMH, SUPPORTED SRO-OMH —
Project Renewal Inc 646 St Nicholas Avenue 227 SUPPORTED SRO-OMH —

Mental-health sites and food sites per 1,000 residents in each MN09 tract. Supportive-housing units are not in this chart.

The formula still needs supportive-housing units per 1,000 residents before a tract can be scored. Counting a supportive-housing site as if it were a unit would change the index, so that substitution is not made. The bands below are how the report reads a score once the unit count exists.

How a score is read

Index What it means What the report asks the board to do
Below 50 Critically under-served Priority for new services
50–100 Under-served Support service expansion
100–120 Balanced Neutral on new services
120–150 Approaching saturation Conditional opposition
150 and above Over-saturated Affirmative opposition

The report’s placement rule follows those bands. Supportive housing should not keep landing in the tract that already sits above the district composite. It should be directed toward the tracts the index marks as under-served, especially where mental-health care or food assistance is missing. Developer contributions, where the report calls for them, fund that shift rather than adding another facility in the concentrated tract.

The recommendations page turns those bands into the board actions: a pause on new supportive housing in the most concentrated tract, and priority for the tracts with the thinnest service layer.