Spatial Access Measures 2024 Update Report

Release date: July 21, 2025

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1 Introduction

In 2021, Statistics Canada, in partnership with Housing, Infrastructure and Communities Canada (HICC) began the development of the Spatial Access Measures. These measures were developed to quantify potential access to amenities across Canada by various modes of transportation. The access measure is a numeric value (ranging from 0 to 1) which quantifies the ease of accessing the type of amenity. This led to the release of the Spatial Access Measures data setNote in 2023 (referred to as the 2022 SAM in this report since that is the vintage of the data) and the methodological report “Active and Public Transportation Spatial Accessibility Measures: Methodology and Key Results”Note in 2024.

This report discusses the updates of the Spatial Access Measures from 2022 to 2024 in addition to the improvements to how cycling routes are generated, which now incorporates three different personas based on Cabral and Kim’s (2021) Level of Cycling Comfort classification system.

In total, eight access measures have been produced: (1) access to employment, (2) access to healthcare facilities, (3) access to public K-12 education facilities, (4) access to public post-secondary facilities, (5) access to grocery stores, (6) access to sports and recreation facilities, (7) access to cultural and art facilities, and (8) access to child care facilities.

This report gives a background of the spatial accessibility measures as they relate to the new additions, data sources and dependencies, methodology (how data was collected, processed, and analyzed), and provide highlights on key results. Specifically, section 2 provides an overview of the updates to the inputs used to calculated the SAM; section 3 details the derivation of the measures and some general results; section 4 show some illustrative examples of the SAM; and section 5 details the limitations of the measures and summarizes the main results of the 2024 update.

2 2024 Updates

This report explains the first set of updates to the SAM. Consistency with the 2022 SAM methodology was an objective; however, there were some changes from the previous approaches with the aim of enhancing the results of model.

2.1 Masses

Destinations and destination masses were derived in similar fashion to the 2021 SAM. In fact, for measures based on open data, the data sets were largely unchanged outside of marginal updates since many of these sources were updated within the last couple of years for the first iteration of SAM. Employment, grocery stores, and health care facilities were updated to 2024 using a similar approach to the 2021 SAM. Child care facilities were added as a new amenity to SAM in this iteration. Masses for this amenity are derived from the count of facilities in a dissemination blockNote based on Business RegisterNote data.

2.2 Active Transportation

Travel times based on the active transportation modes were updated using a more recent (September 1st, 2024) OpenStreetMap (OSM) network. Furthermore, there were some changes made to how routes are calculated, particularly with cycling.

2.2.1 Cycling Typology & Routing

A significant component of the 2024 update to the Spatial Access Measures includes the grouping of the cycling mode into three cycling personas, to reflect people's willingness and ability to use different types of cycleways and roads. The cycling typology was derived from the Level of Cycling Comfort framework (Cabral & Kim, 2021) and from the Canadian Bikeway Comfort and Safety (Can-BICS) classification system (Winters, Zanotto & Butler, 2019). The three cyclist personas are:

  • All ages and abilities: the least confident and least able cyclists with a strong preference for dedicated cycle infrastructure and no tolerance for high stress infrastructure. Stress level is quantified by different roadway characteristics, such as speed limit, number of vehicle lanes, adjacency to vehicles, bike lane width and more. Cyclists from this category mainly travel on high to medium comfort cycling infrastructure, such as off-street paved bike paths, protected cycle tracks, multi-use paths and local street bikeways.
  • Cautious: cyclists with a preference for bike-designated infrastructure but with some tolerance for shared residential roads with low traffic stress.
  • Confident: as above, but also willing to use lower comfort cycling infrastructure such as painted bike lanes and shared roads with moderate traffic stress.

The cycling typology was integrated into the Spatial Access Measures in two steps: First, by creating a restricted network of bikeways and roadways considered comfortable by each persona, and second, by adjusting parameters in the routing algorithm to adjust characteristics such as cyclist speed.

To create networks for each persona, OSM data for bikeways and roadways was used. Bikeways were categorised using the Can-BICS classification system. Different cycling infrastructures were targeted by filtering with bike specific OSM tags (e.g., bicycle, segregated, traffic calming). Roadways were restricted using OSM tags to filter the network by speed limit and road type (e.g., primary, residential). The bike and road networks were restricted for each persona according to the specifications shown in Table 1. The values for shared roads and painted bike lanes were derived from Cabral and Kim (2021). One exception was that the speed limit tolerated by confident cyclists on shared roads was increased from 40 kph to 50 kph following review of the networks. A speed limit of 40 kph yielded a network too restrictive for routing.

To facilitate connectivity between segments classified in the network corresponding to each persona; each network was supplemented with directly connected, non-conforming segments that have a speed limit of 50 km or less. For example, this allows for travel between two AAA bike paths that are disjoint and require a short traversal on another road to move from one path to the other. While these segments are generally short (less than 100 m), they can be larger depending on how they are defined in OSM. In addition, more than one of these intersecting segments may be traversed along a given route. Cases like these will result in more optimistic estimates of access relative to assuming travel exclusively on segments that correspond to the respective persona and disallowing travel on intersecting segments.

Table 1
Bikeway and roadway characteristics considered comfortable for each cycling persona Table summary
The information is grouped by Road / Can-BICS bikeway type (appearing as row headers), Persona, Confident, Cautious and All Ages and Abilities, calculated using kilometres per hour (kph) units of measure (appearing as column headers).
Road / Can-BICS bikeway type Persona
Confident Cautious All Ages and Abilities
kilometres per hour (kph)
Note ...

not applicable

Source: Authors’ computations.
Mixed traffic/painted bike lane max speed  
Local street bikeway 50 30 30
Residential  
1 lane 50 30 ... not applicable
2 lanes 50 ... not applicable ... not applicable
3 lanes ... not applicable ... not applicable ... not applicable
Non-residential  
1 lane 50 ... not applicable ... not applicable
2 lanes ... not applicable ... not applicable ... not applicable
3 lanes ... not applicable ... not applicable ... not applicable
Bike path, cycle track, multi-use path Comfortable for all personas Comfortable for all personas Comfortable for all personas

To calculate the spatial access measures, paths from different origin points to amenities were computed on each network using the Valhalla routing engine. Parameters for the routing were specified for each persona as shown in Table 2, including their average speed, willingness to traverse hills and bad surfaces, and a time cost for each maneuver (turn). The parameter values were derived from experimentation, internal review and validation with existing literature. Since the networks considered have been restricted to OSM features containing tags that correspond to each persona, the specification of parameters, aside from speed, in this iteration of the measures have a reduced bearing on the final scores. Previously, all infrastructure that was tagged as legally cyclable was considered in the cycling measures. This meant that costing played a vital role in both routing along safer and more comfortable infrastructure as well as being used as a heuristic to filter out particularly undesirable cycling routes. With the networks in this update being fundamentally limited in scope prior to routing, this significantly reduced the role that the costing parameters play in the current set of cycling measures.

Table 2
Valhalla costing parameters for each cycling persona Table summary
The information is grouped by Valhalla parameter (appearing as row headers), Persona, Confident, Cautious and All Ages and Abilities, calculated using , kilometres per hour (kph), and seconds units of measure (appearing as column headers).
Valhalla parameter Persona
Confident Cautious All Ages and Abilities
Source: Authors’ computations.
Willingness to use shared roads (0-1) 1 0.5 0
Willingness to use hills (0-1) 0.5 0.2 0
Avoid bad surfaces (0-1) 0 0.5 1
  kilometres per hour (kph)
Cycling speed 18 16 12
  seconds
Maneuver penalty 4 5 7

Confident cyclists were assigned the default cycling speed in Valhalla and the other two personas were assigned increasingly slower speeds after internal discussion with active transportation academics and researchers. The all ages and abilities persona had the greatest time penalty for maneuvers as literature suggests intersections and roundabouts are one of the greatest risk factors for cyclists (Møller & Hels, 2008). Lastly, Reynolds et al. (2009) suggested that smooth paved surfaces and low-angled grades improve cyclist safety. These findings were considered when defining the routing parameters in Table 2.

Sub-section 4.2 details the validation strategy for the cycling networks while section 7 includes example output from this validation, including the visualised networks and Street View imagery at sample locations.

2.2.2 Pedestrian Routing

Changes to pedestrian routing were more limited compared to cycling. While costing parameters used for pedestrian routing were largely unchanged, some small adjustments in the routing engine’s internal cost of walking on slopes has led to more conservative estimates for walking durations relative to the previous release.

2.3 Transit

Like pedestrian routing, transit routing followed an analogous approach to that of the 2021 SAM measures.

2.3.1 Transit Regions

The generation of transit regions started with the collection of GTFS data for transit services in Canada. The GTFS data was collected from a variety of sources including direct from municipality or transit service websites, via transit data APIs, or through sources found with the help of these transit data APIs.Note

In preparation for the next step of generating travel time matrices, manual modifications were made to some transit regions and their corresponding data. These manual modifications included:

  • Around Vancouver, British Columbia (BC), the transit region created via the above methodology was manually subdivided into smaller transit regions. This was done because of bounding box overlap combining unconnected transit services (e.g., over water).
  • Calendar dates were adjusted in some of the GTFS data to simulate overlap of transit services within individual transit regions.
  • Removal of seasonal GTFS data which does not overlap with the selected date range for the transit region.
  • Removal of the content in the transfers text file in instances where they lead to routing errors.
  • Removal of problematic service IDs and unwanted route types (e.g., the taxi route type).
  • Updated time zone to match other GTFS data in a transit region.

2.3.2 Travel Time Matrices

Like the SAM 2021 vintage, Rapid Realistic Routing with R5 R library (r5r) was used to create a routing network for each transit region study area using GTFS and OSM data as inputs. Following the creation of the network, travel time matrix (TTM) parameters were set for how the TTM should be performed by the r5r library. This included defining the modes of travel to include both walking and transit methods, defining the max length of the trip to 90 minutes, and lastly limiting the maximum amount of walking time to 12 minutes. Following the setting of these parameters, specific departure dates and times were selected for each transit region.

Selection of the departure date for each study area was informed by selecting days which were both reflective of a typical transit day but also being a day which was available in all GTFS source data contained within the transit region. When possible, identical days were used for most travel time analysis but in some cases data availability required using an alternative date.  With updated GTFS data available at the start of 2025, departure dates fell in the range between March 2024 and January 2025, with most selected days being in January 2025. In addition to considering data availability, dates were also selected based on a typical workday. Consequently, dates were always on a weekday, never on a holiday, and were selected in the middle of the work week. Lastly, selection of departure times also attempted to capture the ebb and flow of typical transit travel. To accomplish this, departure times at the start of the day (7:00 am) and mid-afternoon (2:00 pm) were selected to provide a richer view of transit analysis in each region.

With the departure days selected, the r5r TTM analysis was generated for each transit region, using the representative travel origin/destination points. This resulted in 68 different transit region TTMs for two departure times: 7:00 am (peak) and 2:00 pm (off-peak).

3 Measures

Access to all seven amenity destinations were computed with the same gravity model used in the 2021 SAM indicators. Consistent with the previous release of SAM, the dual of the gravity model was applied to estimate the level of access to grocery stores. An explanation of both models is detailed below.

3.1 Methodology

The formulation of the gravity model remains the same as in previous iterations (Newstead et al. 2024) where the attractiveness of a destination point j MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaamOAaaaa@36E5@ from an origin point i MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaamyAaaaa@36E4@ is proportional to the amenity mass ( m MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaamyBaaaa@36E8@ ) at j MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaamOAaaaa@36E5@ and to the willingness to travel ( f MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaamOzaaaa@36E1@ ) the duration ( d MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaamizaaaa@36DF@ ) between i MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaamyAaaaa@36E4@ and j MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaamOAaaaa@36E5@ . Less formally, a place becomes more attractive if it has more or higher quality amenities, and if it’s close enough such that people are willing to travel there. Given that, the access level (AL) of origin point i MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaamyAaaaa@36E4@ is the summation of the destination attraction of all destinations J MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaamOsaaaa@36C5@ within a designated range of i MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaamyAaaaa@36E4@ . That is, the attractiveness of each nearby place is summed to find the overall access level for a location. The impedance function, which is expressed as f( d i,j ) MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaaeaaaaaaaaa8 qacaWGMbWaaeWaa8aabaWdbiaadsgapaWaaSbaaSqaa8qacaWGPbGa aiilaiaadQgaa8aabeaaaOWdbiaawIcacaGLPaaaaaa@3C93@   is a negative exponential cumulative distribution function with the parameter, λ MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaWcqaaaaaaaaa WdbiabeU7aSbaa@37D5@ , is chosen such that the median duration of travel to that amenity corresponds to the midpoint of the interval [0,1]. More simply, a downward sloping curve was used to model the effect on willingness-to-travel based on how long it takes to travel to a destination. The curve was adjusted such that the median travel time to that amenity indicated in the General Social Survey (GSS) Time-Use Survey is halfway between 0 and 1.

The conditions defining the access level for a geographic unit i MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaamyAaaaa@36E4@ are illustrated below:

AL i = jJ f ( d i,j ) m j MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaaeaaaaaaaaa8 qacaqGbbGaaeita8aadaWgaaWcbaWdbiaadMgaa8aabeaak8qacqGH 9aqpdaaeqbWdaeaapeGaamOzaaWcpaqaa8qacaWGQbGaeyicI4Saam Osaaqab0GaeyyeIuoakmaabmaapaqaa8qacaWGKbWdamaaBaaaleaa peGaamyAaiaacYcacaWGQbaapaqabaaak8qacaGLOaGaayzkaaGaey yXICTaamyBa8aadaWgaaWcbaWdbiaadQgaa8aabeaaaaa@4AC0@

where

f( d i,j )=1( 1 e d i,j λ ) MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaaeaaaaaaaaa8 qacaWGMbWaaeWaa8aabaWdbiaadsgapaWaaSbaaSqaa8qacaWGPbGa aiilaiaadQgaa8aabeaaaOWdbiaawIcacaGLPaaacqGH9aqpcaaIXa GaeyOeI0YaaeWaa8aabaWdbiaaigdacqGHsislcaWGLbWdamaaCaaa leqabaWdbiabgkHiTmaalaaapaqaa8qacaWGKbWdamaaBaaameaape GaamyAaiaacYcacaWGQbaapaqabaaaleaapeGaeq4UdWgaaaaaaOGa ayjkaiaawMcaaaaa@4A8D@

And is rescaled into index form:

SAM i = AL i min( AL ) max( AL )min( AL ) MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaaeaaaaaaaaa8 qacaqGtbGaaeyqaiaab2eapaWaaSbaaSqaa8qacaWGPbaapaqabaGc peGaeyypa0ZaaSaaa8aabaWdbiaabgeacaqGmbWdamaaBaaaleaape GaamyAaaWdaeqaaOWdbiabgkHiTiGac2gacaGGPbGaaiOBamaabmaa paqaa8qacaqGbbGaaeitaaGaayjkaiaawMcaaaWdaeaapeGaciyBai aacggacaGG4bWaaeWaa8aabaWdbiaabgeacaqGmbaacaGLOaGaayzk aaGaeyOeI0IaciyBaiaacMgacaGGUbWaaeWaa8aabaWdbiaabgeaca qGmbaacaGLOaGaayzkaaaaaaaa@522E@

Likewise, the formulation of the dual of the model – which is only used for the grocery stores measure – remains the same. Whereas the gravity (or primal) model can be thought of as the number of opportunities that are reachable within a certain time constraint, the dual can be thought of as the length of time it takes to access a certain number of opportunities. This model is expressed as:

AL i =max( Q i,j d i,j ) MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaaeaaaaaaaaa8 qacaqGbbGaaeita8aadaWgaaWcbaWdbiaadMgaa8aabeaak8qacqGH 9aqpciGGTbGaaiyyaiaacIhadaqadaWdaeaapeGaamyua8aadaWgaa WcbaWdbiaadMgacaGGSaGaamOAaaWdaeqaaOWdbiabgwSixlaadsga paWaaSbaaSqaa8qacaWGPbGaaiilaiaadQgaa8aabeaaaOWdbiaawI cacaGLPaaaaaa@4898@

That satisfies:

min Q jJ m j Q i,j d i,j MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaaeaaaaaaaaa8 qaciGGTbGaaiyAaiaac6gapaWaaSbaaSqaa8qacaWGrbaapaqabaGc peWaaabua8aabaWdbiaad2gapaWaaSbaaSqaa8qacaWGQbaapaqaba aabaWdbiaadQgacqGHiiIZcaWGkbaabeqdcqGHris5aOGaeyyXICTa amyua8aadaWgaaWcbaWdbiaadMgacaGGSaGaamOAaaWdaeqaaOWdbi abgwSixlaadsgapaWaaSbaaSqaa8qacaWGPbGaaiilaiaadQgaa8aa beaaaaa@4E3B@

Subject to:

jJ m j Q i,j n MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaaeaaaaaaaaa8 qadaaeqbWdaeaapeGaamyBa8aadaWgaaWcbaWdbiaadQgaa8aabeaa aeaapeGaamOAaiabgIGiolaadQeaaeqaniabggHiLdGccqGHflY1ca WGrbWdamaaBaaaleaapeGaamyAaiaacYcacaWGQbaapaqabaGcpeGa eyyzImRaamOBaaaa@46BE@ Q i,j { 0,1 } MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaaeaaaaaaaaa8 qacaWGrbWdamaaBaaaleaapeGaamyAaiaacYcacaWGQbaapaqabaGc peGaeyicI48aaiWaa8aabaWdbiaaicdacaGGSaGaaGymaaGaay5Eai aaw2haaaaa@3FE6@

Where Q MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaamyuaaaa@36CC@   is the binary origin-destination (OD) matrix of the DB-to-DB network pairs, d i,j MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaaeaaaaaaaaa8 qacaWGKbWdamaaBaaaleaapeGaamyAaiaacYcacaWGQbaapaqabaaa aa@39E6@   is the travel duration between origin i MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaamyAaaaa@36E4@   and destination j MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaaeaaaaaaaaa8 qacaWGQbaaaa@3705@ , n MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaaeaaaaaaaaa8 qacaWGUbaaaa@3709@   is some threshold of the count of amenities, and m j MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaaeaaaaaaaaa8 qacaWGTbWdamaaBaaaleaapeGaamOAaaWdaeqaaaaa@3851@   is the mass of amenities in the destination DB j MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaaeaaaaaaaaa8 qacaWGQbaaaa@3705@ . The mass used is the count of grocery stores in a DB.

The time travel cut-off for transit is 90 minutes and 30 minutes for both cycling and walking. This cut-off was chosen to reflect the upper end of travel time to a place of work for each mode.

3.2 Validation

There were three main aspects of validation for the Spatial Access Measures and its dependencies: validating inputs for the computation of TTMs; validating the end results of the TTMs; and validating the resulting access scores for each destination type.

The validation process for the TTM inputs involved ensuring the OSM data extract matched what was expected. This involved looking at individual street segments for the three cycling persona networks. These segments were randomly chosen for each network and compared to Google Street View imagery. If the street view image appeared to show a piece of infrastructure that matched the description in the typology, it was deemed accurate. If it didn’t match, the vintage of the imagery was accounted for as a potential limitation. Sample validation imagery from this process can be seen in Figures 4-18 in the appendix.

To validate the TTMs for each cycling persona, walking, and transit (peak and off-peak), random origin dissemination blocks (DB) were chosen from within several census metropolitan areas (CMAs) and census agglomerations (CAs). For each selected origin DB, the corresponding destination DBs were subset from the TTM and visualized in the open-source software QGISNote . Spatial patterns were analyzed to see if the distribution of travel times matched expectations based on the travel mode and region. The data was also compared to the previous iteration to ensure that any discrepancies were justified based on methodological changes to the mode or changes to the networks caused by infrastructure developments.

Finally, access scores for each amenity and destination type was visualized among a subset of CMAs and CAs to validate the final model outputs. Apart from cycling transport modes, access levels were compared to the levels from SAM 2021 to ensure consistency between datasets. Additionally, access levels for all amenities and transport modes were visually assessed for coherence with their corresponding destination masses. The following CMAs were included to ensure major urban areas were analysed: Ottawa/Gatineau, Toronto, Montreal, Halifax, Winnipeg, Calgary, and Vancouver. In addition, ten additional random CMA and CAs were also included to give a better national scope.

3.3 Results

The tables below show the percentage of the population in the bottom, middle, and top accessibility tercile for the respective transportation modes and amenities. The “No access” column refers to populations that do not have access to the amenity. Population percentages in the tables below are based on DB populations.

3.3.1 Access to Child Care

Nationally, 73.8% of Canadian’s have access to a child care facility within a 30-minute walk. There is considerable variation across provinces and territories with British Columbia having the highest proportion of population with access (78.5%) and Nunavut having the lowest (13.7%).

Table 3
Access to child care facilities within 30 minutes by walking, percent of population by accessibility tercile Table summary
The information is grouped by Province and territory (appearing as row headers), Population by access tercile, Bottom tercile, Middle tercile, Top tercile and No Access1, calculated using percentage units of measure (appearing as column headers).
Province and territory Population by access tercile
Bottom tercile Middle tercile Top tercile No Access Table 3 Note 1
percentage
Note 1

“No access” is the percentage of the population in areas with an access index value of zero.

Return to note 1 referrer

Source: Authors’ computations.
Newfoundland and Labrador 24.0 13.2 2.6 60.2
Prince Edward Island 12.5 18.3 13.4 55.8
Nova Scotia 22.0 13.1 7.8 57.1
New Brunswick 21.8 17.9 9.4 50.9
Québec 19.0 22.6 35.7 22.7
Ontario 20.4 27.6 28.4 23.5
Manitoba 14.1 21.6 34.1 30.2
Saskatchewan 20.6 24.0 14.7 40.7
Alberta 18.0 26.6 31.5 24.0
British Columbia 13.6 19.3 45.6 21.6
Yukon 27.0 13.8 17.3 42.0
Northwest Territories 21.4 12.6 8.1 58.0
Nunavut 10.1 3.6 0.0 86.4
Canada 18.7 24.0 31.1 26.1

3.3.2 Access to Healthcare

Nationally, 75.1% of Canada’s population can access a healthcare facility within 90 minutes using public transit, with a relatively uniform distribution across terciles (29.4%, 24.1%, and 21.6% in the top, middle, and bottom terciles, respectively). There is, however, significant variation between provinces. The province with the most access within 90 minutes is British Columbia (90.2%), while the lowest is Newfoundland and Labrador (29.4%).

Only two provinces, British Columbia (90.2%) and Ontario (83.2%), are above the nationwide access percentage.

Table 4
Access to healthcare facilities within 90 minutes using public transit during off-peak hours, percent of population by accessibility tercile Table summary
The information is grouped by Province and territory (appearing as row headers), Population by access tercile, Bottom tercile, Middle tercile, Top tercile and No Access1, calculated using percentage units of measure (appearing as column headers).
Province and territory Population by access tercile
Bottom tercile Middle tercile Top tercile No Access Table 4 Note 1
percentage
Note 1

“No access” is the percentage of the population in areas with an access index value of zero.

Return to note 1 referrer

Source: Authors’ computations.
Newfoundland and Labrador 17.3 12.1 0.0 70.6
Prince Edward Island 32.4 1.9 0.0 65.7
Nova Scotia 14.2 18.4 6.7 60.7
New Brunswick 24.2 12.4 0.2 63.2
Québec 20.1 18.9 32.4 28.7
Ontario 24.1 26.8 32.3 16.8
Manitoba 6.5 22.3 31.0 40.1
Saskatchewan 9.5 32.9 7.2 50.4
Alberta 15.7 29.7 27.1 27.5
British Columbia 29.8 24.1 36.3 9.9
Yukon 30.3 32.2 0.1 37.5
Northwest Territories 46.5 0.0 0.0 53.5
Nunavut 0.0 0.0 0.0 100.0
Canada 21.6 24.1 29.4 24.9

3.3.3 Access to grocery stores

Table 5 and Table 6 below show the percentage of the population falling in a DB with access to the nearest and 3rd nearest grocery stores within 30 minutes of walking time. About 45% of Canada’s population in a DB has access to one grocery store within 15 minutes ( Table 5) and 14.3% of Canada’s population in a DB has access to three grocery stores within 15 minutes (Table 6 ).

Overall Québec, Ontario, and British Columbia have a higher percentage of their population in DBs with access to grocery stores while the Northwest Territories, Nunavut, and maritime provinces have none or limited access within a 15-minute walk. Generally, the percent of the population that has access falls with the requirement to reach more stores within 15 minutes.

For accessing the nearest grocery store within 15 minutes walking, Québec, Nunavut, Ontario, and British Columbia have the highest coverage at 49.8%, 49.1%, 49%, and 48.4%. Prince Edward Island, Newfoundland and Labrador, and Nova Scotia have the lowest coverage at 18.1%, 19.3%, and 22.6%.

Table 5
Access to nearest grocery store by walking, percent of population above and below 15-minute threshold Table summary
The information is grouped by Province and territory (appearing as row headers), Between 15 and 30 minutes, Within 15 minutes and No access1 within 30 minutes, calculated using percentage units of measure (appearing as column headers).
Province and territory Between 15 and 30 minutes Within 15 minutes No access Table 5 Note 1 within 30 minutes
percentage
Note 1

“No access” is the percentage of the population in areas with an access index value of zero.

Return to note 1 referrer

Source: Authors’ computations.
Newfoundland and Labrador 18.6 19.3 62.1
Prince Edward Island 18.3 18.1 63.6
Nova Scotia 19.7 22.6 57.6
New Brunswick 18.9 18.9 62.2
Québec 25.2 49.8 25.1
Ontario 28.6 49.0 22.4
Manitoba 28.5 40.2 31.2
Saskatchewan 28.6 30.2 41.2
Alberta 34.2 37.7 28.1
British Columbia 26.1 48.4 25.4
Yukon 20.9 17.8 61.3
Northwest Territories 30.4 37.6 32.0
Nunavut 23.9 49.1 27.0
Canada 27.5 45.0 27.5

Regarding access to the third nearest grocery store within a 15-minute walk, Québec (19.7%), British Columbia (19.3%), and Ontario (14.8%) have the highest coverage (Table 5 ). Northwest Territories and Yukon have the lowest coverage with 1.0% and 0.3% of their populations with access to three grocery stores within 15 minutes. 95.8% of Nunavut’s population has no access to three grocery stores within 30 minutes of walking.

Table 6
Access to the third nearest grocery store by walking, percent of population above and below 15-minute threshold Table summary
The information is grouped by Province and territory (appearing as row headers), Between 15 and 30 minutes, Within 15 minutes and No access1 within 30 minutes, calculated using percentage units of measure (appearing as column headers).
Province and territory Between 15 and 30 minutes Within 15 minutes No access Table 6 Note 1 within 30 minutes
percentage
Note 1

“No access” is the percentage of the population in areas with an access index value of zero.

Return to note 1 referrer

Source: Authors’ computations.
Newfoundland and Labrador 8.4 2.5 89.1
Prince Edward Island 9.2 3.3 87.5
Nova Scotia 12.5 4.9 82.7
New Brunswick 9.4 1.6 89.0
Québec 26.9 19.7 53.4
Ontario 37.0 14.8 48.2
Manitoba 27.6 9.9 62.4
Saskatchewan 24.1 4.9 71.1
Alberta 30.2 6.7 63.2
British Columbia 31.2 19.3 49.4
Yukon 3.9 0.3 95.8
Northwest Territories 18.4 1.0 80.5
Nunavut 10.6 6.4 83.0
Canada 30.6 14.3 55.1

3.3.4 Access to cultural and arts facilities

Table 7 shows the level of access to a Cultural and Arts Facility (CAF) within 30 minutes of cycling under the ‘all ages and access levels’ persona. Approximately 50.5% of Canadians have access to cultural and arts facilities via all ages and abilities cycling infrastructure, with over half of residents of all provinces and territories except for British Columbia (36.2%), Québec (43.0%), Manitoba (47.1%), and Ontario (50.0%) having no access. Almost 30% of British Columbians have access in the top tercile, compared to 18% nationwide.

Table 7
Access to recreational facilities within 30 minutes by bike based on the all ages and abilities cycling persona Table summary
The information is grouped by Province and territory (appearing as row headers), Population by access tercile, Bottom tercile, Middle tercile, Top tercile and No Access1, calculated using percentage units of measure (appearing as column headers).
Province and territory Population by access tercile
Bottom tercile Middle tercile Top tercile No Access Table 7 Note 1
percentage
Note 1

“No access” is the percentage of the population in areas with an access index value of zero.

Return to note 1 referrer

Source: Authors’ computations.
Newfoundland and Labrador 4.2 0.9 3.1 91.9
Prince Edward Island 16.4 1.4 5.6 76.6
Nova Scotia 6.9 4.2 6.7 82.1
New Brunswick 5.9 4.4 14.0 75.7
Québec 18.8 20.4 17.8 43.0
Ontario 15.2 16.6 18.2 50.0
Manitoba 17.6 14.8 20.5 47.1
Saskatchewan 15.5 9.3 9.7 65.4
Alberta 22.0 12.8 11.3 53.9
British Columbia 16.2 17.7 29.9 36.2
Yukon 2.7 5.1 3.7 88.6
Northwest Territories 31.1 0.0 0.0 68.9
Nunavut 0.0 0.0 0.0 100.0
Canada 16.5 16.0 18.0 49.5

4 Case studies

The following case studies illustrate SAM scores in municipalities across Canada and how the measures can be interpreted.

4.1 Halifax

Figure 1 shows the relative amount of spatial access to educational facilities by walking in Halifax Regional Municipality. The highest access is concentrated around the Halifax Harbour, namely the Halifax Peninsula, Dartmouth, and Woodlawn. Access gradually decreases as the city outskirts are approached. Suburban communities such as Lower Sackville and Bedford have reasonable access to educational facilities. For smaller communities, access decreases faster and more abruptly away from access hotspots. The lower access can be explained by the reduced pedestrian and road network, which restricts walking and increases total travel time.

In more rural areas, access via walking is generally non-existent or low, with little to no spread of access to dissemination blocks surrounding educational facilities. Again, this is linked to the smaller and less connected transport networks available in areas away from city centers. Within rural areas, access to educational facilities is restricted to one or two dissemination blocks containing schools, with all neighbouring dissemination blocks having no access. This can be observed in communities like Stillwater Lake and Lawrencetown.

Figure 1. Results of access index to educational facilities by walking in Halifax

Description for Figure 1

A map of Halifax showing the index value of the Spatial Access Measures at the dissemination block (DB) level. DBs near the core of Halifax and Dartmouth have higher index values than outlying areas.

Note: Symbology is based on deciles for the CSD of Halifax (10-quantiles, or ten continuous intervals with equal amounts of observations). Intervals consisting of only zeroes have been removed from the symbology. The index values are scaled between 0 and 1 where 0 is the minimum value for all of Canada while 1 is the maximum value for all of Canada. Since the index values are relative to the minimum and maximum values nationwide, most values appear quite close to 0.

Source: Statistics Canada, Centre for Special Business Projects & © OpenStreetMap contributors, © CARTO.

4.2 Toronto

Figure 2 shows the relative amount of spatial access to employment for those traveling by public transportation in Toronto during peak hours. The downtown core as expected has the highest access. This is logical because of the high density of employment and easy availability of public transportation. Additionally, there is a high level of access along Bloor St, Danforth Ave, Yonge St, as well as the other major roads within the city. These are all roads that have good subway, streetcar, and/or bus coverage. Lower access is also seen around parks and more suburban neighbourhoods. A good example of this is Scarborough, a more suburban part of Toronto, where access is much lower than downtown Toronto and the other neighbourhoods within the city. In general, our expectation that the highest access will be around large employment centres and transit networks is reflected in the spatial access measures.

Figure 2. Results of access index to employment by peak transit in Toronto

Description for Figure 2

A map of Toronto showing the index value of the Spatial Access Measures at the dissemination block (DB) level. DBs near the core of Toronto or major transit hubs have higher index values than those that are not. DBs that are adjacent to transit routes that run on a regular basis also have relatively higher index values.

Note: Symbology is based on deciles for the CSD of Toronto (10-quantiles, or ten continuous intervals with equal amounts of observations). Intervals consisting of only zeroes have been removed from the symbology. The index values are scaled between 0 and 1 where 0 is the minimum value for all of Canada while 1 is the maximum value for all of Canada. Since the index values are relative to the minimum and maximum values nationwide, most values appear quite close to 0.

Source: Statistics Canada, Centre for Special Business Projects & © OpenStreetMap contributors, © CARTO.

4.3 Calgary

Figure 3 shows the relative spatial access to cultural and art facilities by cyclists fitting the “all ages and abilities” persona. As defined in Table 1 , these cyclists have zero tolerance for high stress infrastructure and mostly travel on dedicated cycling infrastructure. Access is greatest in the city center, however, the maximum access index value for an DB is 0.16, which is below the national average. While access declines gradually further from the city center, there are several segments of relatively high access connected to the city center, along dedicated bike friendly infrastructure, such as the Bow River Pathway (West), Elbow River Pathway (Southwest), and the Nose Creek Pathway (North). Lastly, the city outskirts contain no access to cultural and art facilities, even when bike infrastructure is available, likely due to a reduction both in the number of cultural and art facilities and reduced cycling infrastructure.

Figure 3. Results of access index to culture and arts facilities by cycling (all ages and abilities) in Calgary

Description for Figure 3

A map of Calgary showing the index value of the Spatial Access Measures at the dissemination block (DB) level. DBs near the core of Calgary have higher index values than outlying areas.

Note: Symbology is based on deciles for the CSD of Calgary (10-quantiles, or ten continuous intervals with equal amounts of observations). Intervals consisting of only zeroes have been removed from the symbology. The index values are scaled between 0 and 1 where 0 is the minimum value for all of Canada while 1 is the maximum value for all of Canada. Since the index values are relative to the minimum and maximum values nationwide, most values appear quite close to 0.

Source: Statistics Canada, Centre for Special Business Projects & © OpenStreetMap contributors, © CARTO.

5 Discussion and Limitations

This update represents a significant leap forward in the SAM’s accuracy and reliability. This overhaul reflects months of intensive work and the integration of new sources particularly with respect to public transit feeds. Likewise, the refinements to cycling routing now provide a more nuanced picture of access by that mode.

While interpretation of the Spatial Access Measures and accompanying limitations generally remain consistent with those of the previous release, these are restated here for the benefit of the reader.

The first set of limitations is related to the OSM network itself. While the OSM network is one of the most comprehensive and complete road networks openly available, it is not a perfect source of information. The network itself is generated from open data sources and from OSM contributors. This means that areas with fewer active contributors will generally have less up-to-date coverage. Moreover, the tagging of networks is not always accurate or complete, even in areas with many active contributors.

The second set of limitations is related to GTFS data. First, schedules do not necessarily reflect the actual frequency of services. There can be any number of occurrences that result in the deviation of a public transit route from its schedule. Some such examples are vehicle breakdown, traffic, car accidents, construction, etc. Thus, the travel time estimates for transit are based on a best-case situation. That is, all routes are running according to schedule. A second limitation posed by GTFS data is that this type of data is not available in all areas where transit exists. As time goes on, the number of GTFS feeds publicly available has increased but still, not all transit operators provide GTFS data. In addition, since GTFS data is schedule-based, informal forms of public transit are not well-represented. Lastly, GTFS data can be of varying quality.

The third set of limitations is associated with active transportation. Firstly, the typology used to generate travel times by bike are abstractions that do not necessarily reflect any one cyclist. Furthermore, the literature on cyclist typologies generally agrees on some main aspects of the personas used in this analysis, but there is no consensus agreed upon approach. Thus, there will be some disagreement as to specifically which infrastructure and parameters should be specified for each persona within the typology. With respect to bike routing, intersectional segments are included in the network to mitigate issues with short breaks in each of the respective networks. In general, the lengths of these intersectional segments are short but in exceptional cases these could lead to optimistic estimates of access for the persona. For pedestrian routing, while certain costing parameters such as penalizing hills and prioritizing sidewalks focus on comfort and usability, full physical accessibility for all ages and abilities is not accounted for in this analysis. In both cases, there is some potential for measurement error stemming from representative points being snapped to the road network to calculate routing by the routing engine. In most cases, these are non-consequential as the representative points of DBs are often near the network. However, there are some cases where the representative point is further and thus snapping may occur over a greater distance, up to a few hundred metres.

There are also limitations related to the data for the amenity locations. With respect to those based on open data, the quality and quantity of such data varies across municipalities and provinces. This means that the quantity of amenities and consequently, the access in some regions, may be underrepresented relative to regions that have more complete or comprehensive open data sources. This is more apparent in the access to sports and recreational facilities measures but plays a small role in the measures for the other amenities.

Overall, this 2024 update of SAM provides a more nuanced picture of access by cycling and walking as well as the opportunity to view changes in the SAM over time. While there is still room for improvement and expansion of the SAM, this update provides a marked improvement in how potential access to amenities is measured across Canada.

6 Appendix - Validation of restricted cycling networks

Figure 4. OSM cycling networks in downtown Toronto

Description for Figure 4

A map of Toronto displaying each segment of the cycling network by cycling persona: all ages and abilities, cautious, and confident. All ages and abilities segments are the least common, with cautious and confident segments making up much larger networks.

Sources: Statistics Canada, Centre for Special Business Projects & © OpenStreetMap contributors, © CARTO.

Figure 5. OSM cycling networks in the Toronto neighbourhood of High Park

Description for Figure 5

A map of the cycling networks for each persona zoomed in on High Park in Toronto with three examples of each type of segment highlighted.

Sources: Statistics Canada, Centre for Special Business Projects & © OpenStreetMap contributors, © CARTO.

Figure 6. Street view sample of the All Ages and Abilities cycling network in the Toronto neighbourhood of High Park

Description for Figure 6

A street view image of the highlighted all ages and abilities segment in High Park. It is a road with dedicated and separated bike lanes.

Sources: Statistics Canada, Centre for Special Business Projects & © Google Streetview & Google Maps.

Figure 7. Street view sample of the Cautious Majority cycling network in the Toronto neighbourhood of High Park

Description for Figure 7

A street view image of the highlighted cautious segment in High Park. It is a quiet and wide residential road.

Sources: Statistics Canada, Centre for Special Business Projects & © Google Streetview & Google Maps.

Figure 8. Street view sample of the Confident cycling network in the Toronto neighbourhood of High Park

Description for Figure 8

A street view image of the highlighted confident segment in High Park. It is a relatively busy road with a painted bike lane.

Sources: Statistics Canada, Centre for Special Business Projects & © Google Streetview & Google Maps.

7 References

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