=Paper= {{Paper |id=Vol-2323/SKI-Canada-2019-7-3-3 |storemode=property |title=Using Multi-Criteria Analysis to Estimate Retail Site Attractiveness for the Huff Model |pdfUrl=https://ceur-ws.org/Vol-2323/SKI-Canada-2019-7-3-3.pdf |volume=Vol-2323 |authors=Claus Rinner,Renacin Matadeen,Stephen Swales }} ==Using Multi-Criteria Analysis to Estimate Retail Site Attractiveness for the Huff Model== https://ceur-ws.org/Vol-2323/SKI-Canada-2019-7-3-3.pdf
Spatial Knowledge and Information Canada, 2019, 7(3), 3



Using Multi-Criteria Analysis to Estimate
Retail Site Attractiveness for the Huff Model
CLAUS RINNER                         RENACIN MATADEEN                    STEPHEN SWALES
Department of Geography              Department of Geography             Department of Geography
Ryerson University                   Ryerson University                  Ryerson University
crinner@ryerson.ca                   renacin.matadeen@ryerson.ca         sswales@geography.ryerson.ca



                                                       offerings in a transparent economy, location
ABSTRACT                                               plays a crucial role in reducing costs
                                                       through       reducing      travel     distance.
The Huff model is an advanced trade area               Geographic analysis techniques such as
delineation technique widely used in retail            Thiessen polygons, the Huff model, and
site selection. It is based on site                    customer spotting were developed as
attractiveness and distance, and models                normative representations of consumer
probabilities of customers patronizing                 behaviour (Swales 2008). In a business
specific retail locations. In this research, we        context, Thiessen (or Voronoi) polygons
examine the suitability of multi-criteria              separate a region with supply points (such
analysis     (MCA)       to     estimate     the       as retailers or social service centres) into
attractiveness parameter in the Huff model.            catchment areas, in which each demand
In a case study of shopping centres in                 point is assigned to the closest facility. The
Toronto, we illustrate that MCA provides a             Huff model allows for more complex gravity
suitable    framework       for     retail  site       modeling of attractiveness of supply
attractiveness. However, variations in the             locations and competition between them by
MCA technique have noticeable impacts on               assigning demand to supply points on the
the Huff model results.                                basis of probability (Swales 2008). Finally,
                                                       customer spotting draws on ever growing
1. Introduction                                        affinity program datasets to facilitate
Retail geography, business geomatics, and              visualisation,     analysis     and     location
location intelligence are some of the                  strategies related to patronage of facilities
concepts that capture the idea that the                and services (Swales 2008).
location of private sector enterprises has             The Huff model (Huff 1964, Huff & Black
significant implications on their success              1997) is widely used in the retail business
with respect to production, sales, and work            sector. It combines principles of distance
force (e.g. Jones & Simmons 1993). In a                decay with site attractiveness. To model
political climate of accountability and                retail site attractiveness for potential
efficiency in using tax revenues, government           customers most accurately, analysts often
and         not-for-profit       organizations         use composite metrics (e.g. Lin et al. 2016,
increasingly make use of the same                      Jia et al. 2017).
operational and strategic decision support             Multi-criteria analysis (MCA) is a normative
tools to determine service site locations and          modeling approach that integrates decision-
resources offered to their “clients”.                  maker preferences (e.g. criterion weights) in
The theoretical framework for retail                   the evaluation of decision alternatives such
geography includes rational choice theory –            as retail sites. To support site selection, each
the assumption that consumers will make                site is assessed by a composite score created
cost-effective choices with respect to their           from multiple criteria (site attributes).
use of retail outlets and services (Swales             In this research, we examine the conceptual
2008). Given similar product and service               and practical fit of MCA techniques with the
2   Estimating Retail Site Attractiveness


creation of     composite attractiveness
metrics. We estimate site attractiveness for
the Huff model using MCA and explore the
impact of MCA parameters on the outcome.

2. Methods and Data
2.1 Techniques and Technology
One of the most commonly used MCA
techniques     is   the     weighted    linear
combination (WLC), a weighted sum of
criterion values (Malczewski 2000). To
transform the criteria into a common value
range such as 0...1 for comparison and
combination, a rescaling procedure is
applied (Malczewski & Rinner 2015).
The normative aspect of MCA is most
obvious in the use of importance weights.
These are set by the decision-maker and
may include an element of subjectivity along
with expert knowledge. Weights are
commonly defined as fractions or
percentages that add up to 1.0 or 100%.
The Huff model calculates a quotient of the
attractiveness of a destination site over the
distance to a source point or area. Distances
                                                  Fig.1: User interface of the MCA component of the Huff model
may be measured as straight lines or via a                                 plugin for QGIS
transportation network, and the distance
decay effect can be modelled linearly or         2.2 Case Study
exponentially. In retail, the source locations   In a case study for the 16 largest indoor
often are residential areas representing         shopping centres in the Toronto Census
potential customers. The destination sites       Metropolitan Area, we experimented with
are retail locations, the attractiveness of      two common multi-criteria rescaling
which is often characterized by a                techniques: maximum-score and score-
combination of size and quality indicators       range transformation. For criteria that are
such as floor space and type of goods            to     be    maximized,      maximum-score
offered.     The      attractiveness-distance    transformation divides each criterion value
quotient is normalized by the sum of all         by the largest value. For minimization
quotients to represent the probability of        criteria, the quotient of the smallest value
customers from the source to shop at the         divided by the criterion value at hand is
destination over all other destinations. For     subtracted from 1.0 to form the rescaled
each source, the sum of probabilities is 1.0.    criterion value. For maximization criteria,
We implemented the Huff model with MCA-          score-range transformation assigns the
based attractiveness estimation in a plugin      smallest value to 0.0, the largest to 1.0, and
for the open-source QGIS 3.2 package using       all other values in proportion. For
Python 3.6 along with QT5 for the                minimization criteria, the assignment is
development of the user interface shown in       reversed.
Fig. 1. An earlier version of the underlying     The data for the case study included a
scripts is available at https://github.com/      hexagonal tessellation of the Toronto
ryersongeo/qgis_location_analytics.              Census Metropolitan Area to represent
                                                 source areas (without further attributes)
                                                 and a point shapefile of shopping centres
Estimating Retail Site Attractiveness                                                                                          3


(Fig. 2) with a sample of nine attractiveness                    composite attractiveness metrics change
indicators sorted from most to least                             under the score-range procedure.
important:
     Average Google Places score
     Gross leasable area
     Number of anchor stores
     Number of fashion stores
     Number of technology stores
     Number of food stores
     Total number of stores
     Number of parking spaces
     Adjacent housing density
Weights between 25% and 2.5% were
assigned manually for the purpose of the
experiment. All criteria were considered as
to be maximized, i.e. larger values represent
greater utility for potential customers.
Primary and secondary trade areas were
defined by the commonly used probability
thresholds of 60% and 30% (Jones &
Simmons 1993; Swales 2008) and mapped                              Fig. 3: Trade areas after maximum-score transformation of
                                                                                       attractiveness criteria
for the 16 shopping centres.




 Fig. 2: Hexagonal tessellation of Toronto Census Metropolitan
            Area and major shopping centre locations


3. Results                                                           Fig. 4: Trade areas after score-range transformation of
                                                                                      attractiveness criteria
In comparing the results of maximum-score
transformation (Fig. 3) and score-range                          This can be explained by the fact that the
transformation (Fig. 4), some differences                        maximum-score method is “anchored” at
are visually noticeable. In particular, some                     the maximum value, which is transformed
of the larger trade areas grow further while                     to 1.0, while the minimum value only gets
some of the smaller trade areas all but                          down to 0.0 if the original indicator value
disappear under the score-range procedure.                       also was 0.0; other minimum values are
Since distances do not change, the                               transformed to rescaled values between 0.0
                                                                 and 1.0, thus larger minima than under the
4       Estimating Retail Site Attractiveness


score-range procedure, which always uses                           Acknowledgements
the full value range (Young et al. 2010). The                      Partial funding from the J.W. McConnell
score-range procedure therefore results in                         Foundation through the RECODE at
more extreme probabilities and trade areas,                        Ryerson University program and from
while the maximum-score transformation                             SSHRC’s Geothink Partnership Grant is
produces      more      equally    distributed                     gratefully acknowledged.
probabilities (see also Fig. 5).
                                                                   References
                                                                   - Huff DL (1964) Defining and Estimating a
                                                                      Trading Area. Journal of Marketing
                                                                      23(3): 34-38
                                                                   - Huff DL, Black WC (1997) The Huff Model
                                                                      in Retrospect. Applied Geographic
                                                                      Studies 1(2): 83-93
                                                                   - Jia P, Wang F, Xierali IM (2017) Using a
                                                                      Huff-Based Model to Delineate Hospital
    Fig. 5: Average probabilities per centre under maximum-score      Service     Areas.   The      Professional
            (top) and score-range (bottom) transformations            Geographer 69(4): 522-530
                                                                   - Jones K, Simmons J (1993) Location,
4. Conclusion                                                         location, location: analyzing the retail
In summary, MCA methods were shown to                                 environment. Scarborough, Ont: Nelson
be applicable to the estimation of site                               Canada
attractiveness for the Huff model in retail                        - Lin T, Xia J, Robinson TP, Olaru D, Smith
geography. MCA provides a structured,                                 B, Taplin J, Cao B (2016) Enhanced Huff
framework for the combination of multiple,                            Model for Estimating Park and Ride
commensurate criteria. This approach                                  (PnR) Catchment Areas in Perth, WA.
integrates decision-maker preferences in a                            Journal of Transport Geography 54:
way that may be considered normative or                               336-348
subjective.                                                        - Malczewski J (2000) On the Use of
We are in the process of expanding the                                Weighted Linear Combination Method in
existing QGIS plugin with additional retail                           GIS: Common and Best Practice
geography functionality, including other                              Approaches. Transactions in GIS 4(1): 5-
trade area delineation techniques and                                 22
alternative distance calculation. Our goal is                      - Malczewski J, Rinner C (2015)
to create a location analytics toolkit that                           Multicriteria Decision Analysis in
makes market research accessible to smaller                           Geographic Information. New York:
companies,        non-profits,      academic                          Springer
researchers, and the general public.                               - Swales S (2008), “Trade Area Analysis” in
It would also be of interest to examine the                           Swales S (ed.) Marketing Geography
normative modeling framework of MCA in                                (3rd. ed.), Boston: Pearson Custom
conjunction with crowdsourcing and                                    Publishing
volunteered geographic information, which                          - Young J, Rinner C, Patychuk D (2010) The
include elements of subjectivity. In addition,                        Effect of Standardization in Multicriteria
the methods described could benefit from                              Decision Analysis on Health Policy
integrating open data and using geospatial                            Outcomes. In G Phillips-Wren, LC Jain,
Web technology in an online modeling and                              K Nakamatsu, RJ Howlett (eds)
decision support framework.                                           Advances      in   Intelligent   Decision
                                                                      Technologies (Proceedings of the Second
                                                                      KES International Symposium IDT
                                                                      2010). Springer, Berlin/Heidelberg,
                                                                      Germany, pp. 299-307
Estimating Retail Site Attractiveness   5