Studio Matrx Monthly · Volume 1 · Issue 3 · August 2026
Amogh N P
 In loving memory of Amogh N P — Architect · Designer · Visionary 
Population, Density & Accessibility GapsLesson 8.4
GIS for Architecture, Planning & Urban Design/Module 8 · GIS for Urban Planning

Lesson 8.4 · GIS for Urban Planning

Population, Density & Accessibility Gaps

Who lives where, and what they cannot reach

13 min Interactive lessonFree · open lessonByAmogh N P· Architect & interior designer
The hook

The ward has a park on paper. Half its residents cannot walk to one in ten minutes. Both facts are true.

Averages hide people. A ward can 'have' a park, a school and a clinic and still leave thousands beyond a reasonable walk of any of them, because a facility serves a catchment, not a boundary. Accessibility is not whether an amenity exists in your ward - it is whether _you_ can reach one from where you live. GIS is what turns that difference from a hunch into a measured, mappable gap.

Plan for the person at the edge of the catchment, not the one next to the park.

Density: people divided by area

Population density is simply people per unit area - persons per hectare or per square kilometre - and it is the first thing a planner reads off a city, because it drives demand for everything: water, schools, road capacity, open space. Mapped as a choropleth (each area shaded by its density), it shows at a glance where the city is crowded and where it is sparse.

But density inherits a subtlety: it depends entirely on the area you divide by. The same population looks dense in a tightly-drawn ward and sparse in a large one. This is the Modifiable Areal Unit Problem (MAUP) - change the boundaries and you change the answer, without a single person moving. It is not a reason to distrust density; it is a reason to state your unit and be wary of comparing densities computed on different-sized areas.

Population density by ward persons / ha under 100 100-200 200-350 350-500 over 500 density = people / area - so the boundary you choose shapes the answer
Zoom
A choropleth shades each ward by density - but the ward you draw changes the picture (the MAUP).

Density is a fraction - and whoever draws the boundary controls the denominator.

Where the people data comes from

Two sources anchor population work in India. The Census of India is the authoritative count - population and demographics down to ward and village level - but it is decadal, so between censuses it ages, and its data comes tied to administrative boundaries (with all the MAUP that implies). To fill the gaps, planners increasingly use WorldPop, a modelled gridded population surface at roughly 100 m resolution, released under a Creative Commons licence.

The two are complementary. Census gives you real, attributable counts on official units; WorldPop gives you a continuous grid you can slice by any shape - a catchment, a flood zone, a walking radius - without being trapped by administrative lines. A common technique, dasymetric mapping, refines a coarse census count using a finer layer (built-up area, buildings) so people are placed where they actually live rather than smeared evenly across a ward.

Population density by ward persons / ha under 100 100-200 200-350 350-500 over 500 density = people / area - so the boundary you choose shapes the answer
Zoom
A choropleth shades each ward by density - but the ward you draw changes the picture (the MAUP).

Catchments: what a facility actually serves

A park, school or clinic does not serve its ward; it serves a catchment - the area within a reasonable distance of it. URDPFI and similar norms set those distances (a neighbourhood park within a few hundred metres, a primary school within walking range), and GIS lets you draw them. The simplest catchment is a buffer - a distance ring around each facility - and a better one is a network service area from Lesson 8.3, following the streets people really walk.

Once you have catchments, coverage is a spatial question you can answer exactly: dissolve all the catchments together and you have the served area; whatever population falls outside it is un-served. This is the heart of provision planning - not 'how many parks does the city have', but 'how many people can reach one'.

Service catchments and the gap gap school within 800 m under- served the shaded remainder is who no facility reaches
Zoom
Buffer each facility by its service distance; whatever stays uncovered is the measured gap.

Gap analysis: measuring who is left out

Gap analysis puts density and catchments together. Take the population surface, subtract the served catchments, and what remains is the gap - the people, and the places, that no facility reaches within the standard. Overlay several amenities and the gaps compound into a map of relative disadvantage: areas short of parks and schools and clinics.

This is among the most powerful and equitable uses of GIS in planning, because it shifts the question from supply to access. A city can meet its per-capita park norm on paper while concentrating all the parks in prosperous wards; only a spatial gap analysis exposes that. Done with the population grid rather than ward averages, it names the shortfall in people, not polygons - the number that moves a budget.

Service catchments and the gap gap school within 800 m under- served the shaded remainder is who no facility reaches
Zoom
Buffer each facility by its service distance; whatever stays uncovered is the measured gap.

The point of a gap map is not the green - it is the grey. Design for the grey.

Accessibility done honestly, and its limits

The last refinement is to stop pretending people fly. A straight-line buffer overstates reach; a network catchment (or an isochrone - the area reachable within a travel time) follows the walkable street length and gives a truer, jagged shape. The difference is often large in Indian cities cut by rail lines, drains and gated layouts, where two homes 200 m apart may be a kilometre apart on foot.

Be honest about the limits. Census data ages and MAUP bends density; WorldPop is a model with its own error and should be validated where you can. Catchments assume an average walker on an average day, ignoring heat, safety, footpath quality and who is actually free to walk. And a gap map shows where provision is short, not why, nor whether new land is available to fix it. Used with those caveats stated, accessibility analysis is one of the strongest evidence tools a planner has; used as a black box, it launders assumptions into apparent fact.

Straight-line buffer assumes you fly to the door Network catchment follows the walkable street length real access is a walk along links, not a circle on the map
Zoom
A straight-line buffer overstates reach; a network catchment follows the streets people actually walk.
Data & standards for population & access work

Census of India

Authoritative population & demographics to ward/village level

Free public data on administrative units; decadal, so it ages and carries MAUP - the count you attribute to.

WorldPop

Modelled gridded population, ~100 m, global

Free under CC BY 4.0; a continuous surface you can slice by any catchment shape between censuses.

Global Human Settlement Layer (GHSL, EU JRC)

Built-up surface and population grids

Free & open; useful for dasymetric refinement - placing people where the built-up area actually is.

EPSG:32643 (WGS 84 / UTM 43N)

Projected metre-based CRS over much of India

Compute catchment buffers, areas and distances here - never in degrees (EPSG:4326).

OpenStreetMap (OSM)

Global community vector map - streets & amenity points

Free under ODbL; the street network for walkable catchments and the amenity locations to buffer.

Hands-on workshop

Workshop — map the accessibility gap for a facility type

Combine a population surface with amenity catchments to measure how many people fall outside a walkable distance of a park (or school).

QGIS 3.44 (free) with QuickOSM, or ArcGIS Pro 3.7 with Spatial Analyst / Network Analyst; WorldPop grid.

Given & goal
Goal: a gap map + a count of people beyond 800 m of the nearest facility
Data: WorldPop grid + amenity points (OSM via QuickOSM) for your city
Time: ~50 minutes
  1. 1Load the WorldPop raster and amenity points in a metre-based CRS (EPSG:32643). In QGIS: add the raster and QuickOSM the points. In ArcGIS Pro: Add Data for both.
  2. 2Symbolise population density as a graduated choropleth (or classify the raster) to see the crowded areas. In QGIS: raster Symbology ▸ Singleband pseudocolor. In ArcGIS Pro: Symbology ▸ Classify.
  3. 3Build the served area: buffer each amenity by 800 m and dissolve. In QGIS: Vector ▸ Geoprocessing ▸ Buffer (dissolve result). In ArcGIS Pro: Analysis ▸ Tools ▸ Buffer (Dissolve All). For realism, use a network service area instead (Lesson 8.3).
  4. 4Find the gap: erase the served area from the study boundary to get the un-served area. In QGIS: Vector ▸ Geoprocessing ▸ Difference. In ArcGIS Pro: Analysis ▸ Tools ▸ Erase.
  5. 5Count the people in the gap: use zonal statistics to sum the WorldPop grid inside the un-served polygon. In QGIS: Processing ▸ Zonal statistics (sum). In ArcGIS Pro: Zonal Statistics as Table (sum). Report the total as 'people beyond an 800 m walk of a park'.

You’ll walk away with
A gap map and a headline number - people not within the standard distance of the facility - that names a shortfall in residents rather than in polygons.

The worked example

Three altitudes on the same idea

Read the band that fits you — or all three.

For the architectSite, form & environment

Accessibility is a site-selection and brief-shaping tool. For a school, clinic or community building, a catchment-and-gap analysis tells you where a new facility closes the largest gap - the strongest possible argument for a site. For any building, knowing who lives within a walk grounds the programme in real demand rather than assumed footfall.

For the plannerLand use, zoning & infrastructure

Gap analysis is how you plan provision equitably. Meeting a per-capita norm city-wide can still leave whole populations un-served; only mapping catchments against a population surface reveals it. Use Census for authoritative counts, WorldPop or dasymetric refinement to place people finely, and report shortfalls in people-not-reached - the figure that justifies where the next park or clinic goes.

For the urban designerStreets, blocks & public realm

Walkable access is the metric your discipline lives by. The '15-minute' idea is a network-catchment question, and gap maps show exactly where the public realm fails to connect people to daily needs. Design streets and links to shrink the grey areas, and test each move as a change in who can reach what on foot.

Misconception check

If a ward has the required number of parks and schools per person, its residents have good access.

Per-capita provision is a supply average; access is a spatial reality. A ward can satisfy the norm while clustering every facility in one corner, leaving the rest beyond a reasonable walk. Only a catchment-based gap analysis - drawn against where people actually live, ideally on a population grid rather than a ward average - shows who can and cannot reach a facility. Existence in the ward is not access from the home.
Try it

Do it yourself

No software needed - just reason about people and reach.

  1. 1In one sentence, explain the Modifiable Areal Unit Problem and how it can make the same city look denser or sparser.
  2. 2Give one advantage of a WorldPop grid over Census ward totals, and one advantage of the Census over WorldPop.
  3. 3Why does a straight-line buffer overstate how many people a facility actually serves?
  4. 4A city meets its parks-per-1000 norm but has a large accessibility gap. How is that possible?
  5. 5What does dasymetric mapping do, and why is it more honest than spreading a ward's population evenly?
Take this with you

The one line to carry out

Provision is a supply average; access is a spatial fact - subtract the catchments people can actually reach from where they actually live, and the remainder is the gap that should drive the next park, school or clinic. Report it in people, not polygons, and state your unit, your source and your distance.
Take it further
References & further reading

Peer-reviewed journals & authoritative standards

  1. 01Openshaw, S. — The Modifiable Areal Unit Problem (CATMOG 38)Geo Books, Norwich, 1984.
  2. 02Anselin, L. — Local Indicators of Spatial Association—LISAGeographical Analysis, 1995.
  3. 03Batty, M. — The New Science of CitiesMIT Press, 2013.
  4. 04Landscape and Urban PlanningElsevier, ongoing.
  5. 05Chettry, V. & Surawar, M. — Urban Sprawl Assessment in Eight Mid-sized Indian Cities Using RS and GISJournal of the Indian Society of Remote Sensing, 2021.
Related lessons
Recap
Density = people/area (mind the MAUP); Census gives attributable counts, WorldPop a sliceable grid; catchments are buffers or network service areas; gap = population minus served area, reported as people not reached.
Carry forward →

You have now built the planner's core GIS toolkit - plans, land use, infrastructure and access; the next module turns from analysis to the finer grain of the street and public realm in GIS for urban design.

A

The author

Amogh N P

Architect, interior designer, and creative polymath. Studio Matrx began in his notebooks — his vision of design made honest, useful, and open to everyone. Its Academy is written and taught in his memory, and free, forever.

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