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Evaluating the influence of social capital on travel behaviour of urban users: The case of TransMiCable Estudiante: Víctor Cantillo-García Asesor: Luis A. Guzmán Co-asesora: Diana Higuera-Mendieta Jurado externo: Julián Arellana Jurado interno: Hernán Ortiz Tesis de Grado Maestría en Ingeniería Civil Énfasis en Ingeniería de Transporte

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Page 1: Evaluating the influence of social capital on travel

Evaluating the influence of social

capital on travel behaviour of urban

users: The case of TransMiCable

Estudiante: Víctor Cantillo-García

Asesor: Luis A. Guzmán

Co-asesora: Diana Higuera-Mendieta

Jurado externo: Julián Arellana

Jurado interno: Hernán Ortiz

Tesis de Grado

Maestría en Ingeniería Civil

Énfasis en Ingeniería de Transporte

Page 2: Evaluating the influence of social capital on travel

1. Introduction

The relation between social interactions, travel and transport has attracted the interest of

many researches who have addressed the subject from diverse perspectives. This situation is

partly motivated by the hypothesis that a general view of social contact, beyond the study of

intra-household interactions, might help to explain the motivation and characteristics of travel

behaviour, improving the analysis of aspects such as modal choice, the planning and execution

of activities, and travel-location related decisions (Dugundji et al., 2011). At this point, social

capital is a relevant topic when reviewing social interactions. However, social capital is

considered a complex, polysemic and multidimensional concept, leading to different definitions

and interpretations according to the context of study and viewpoints by researchers (Li et al.,

2005; Paldam, 2000).

Some of the most popular definitions of social capital are the ones proposed by Bourdieu

(1986): “Social capital is the aggregate of the actual or potential resources which are linked to

possession of a durable network of more or less institutionalized relationships of mutual

acquaintance and recognition”; and Putnam (2000): “Social capital refers to the features of

social organization such as networks, norms and social trust that facilitate coordination and

cooperation for mutual benefit”. Besides the individual advantages generated by the

possession of these features, the strength of this interactions can also enhance the sense of

community facilitating the capabilities to solve collective problems. Nevertheless, even though

social capital might be interpreted as a property of communities, some empirical research

suggests that the collective consequences of social capital must be consistent with individual

attitudes (Brehm & Rahn, 1997). Moreover, in the light of these definitions, one can infer that

the stock of social capital of an individual depends on the social connections he can

successfully summon, as well as on the volume of economic, cultural and symbolic recourses

he can benefit from those connections. Likewise, it can be seen that in a determined market

context the economic decisions of consumers (i.e. the choice of transportation mode), are

based not only on the individual’s self-interest, but are also influenced by his social relations

and interactions, which can be measured in the form of social capital. Hence, recognizing the

relevance of social capital in the resource allocation process might help to understand the

economic behaviour of consumers, providing more robust tools for policy evaluation and

decision making (Robison et al., 2012).

On the other hand, in the field of transportation engineering it is relevant the analysis and

understanding of the factors that affect travel choices, that are crucial for the evaluation of

policies, infrastructure investments, demand forecast, fare estimations, etc. In particular, the

selection of transportation mode is defined by attributes of the available alternatives, the

Page 3: Evaluating the influence of social capital on travel

context of the journey and the trip maker, including social capital (Ortúzar & Willumsen, 2011,

chapter 6). Transport demand modellers are then concerned on the definition of variables

related to these categories and exploring new model specifications that might help to improve

the capabilities to simulate mode choice. Given this, is no surprise that there is a growing

interest on the explicit incorporation of perceptions, attitudes, habits and social interactions

into the analysis of travel behaviour. However, there are still some comprehensive challenges

in the representation of subjective data and latent constructs such as social networks, well-

being or social capital (Ben-Akiva et al., 2012).

Given this background, the research aims to determine the effects that social capital has

on travel behaviour, applied to a case of mode choice of a new cable car line (TransMiCable),

located at the urban south periphery of Bogotá, Colombia. To establish these outcomes,

discrete choice models incorporating the latent variable “social capital” are estimated. The

modelling framework allows to estimate the probability of choosing the new service compared

to the probability to continue using the typical mode before the cable was inaugurated, by a

sample of individuals living in the influence zone of the stations. The study population might

be denominated as vulnerable, characterized by low-income and poor accessibility (Sarmiento

et al., 2020). We hypothesize that higher social capital levels are associated with a higher

willingness to use the cable car due to an appropriation process of the new infrastructure

produced by a higher sense of community development. The investigation seeks to contribute

to the discussion of the links between social capital and travel behaviour in the Latin-American

context.

After this introduction, section 2 presents a brief review of related research addressing the

links between social capital and transport. Section 3 includes a description of the study area

and the TransMiCable project. Section 4 describes the data used while section 5 discusses

the methodology and model formulation. Section 6 includes the main results and exposes the

implications of the findings. Finally, section 7 provides the conclusions as well as some

recommendations for future research given the limitations of the present study.

2. Exploring the links between social capital and transport

The links that connect social capital with the transport characteristics of a community are

reciprocal. Most of the studies exploring these links have addressed the effects that transport

have on social capital. In summary, there is some consensus that transport improvements

facilitate social interactions and promote social inclusion by the provision of better accessibility

to opportunities (Östh et al., 2018; Stanley et al., 2010). Mobility connects people to meet over

time and space, allowing to sustain social networks Urry (2012). Poor urban zonal connection

inabilities people to access opportunities causing social exclusion due to travel difficulties that

Page 4: Evaluating the influence of social capital on travel

could be mitigated with infrastructure and policy (Church et al., 2000; Lucas, 2012). For

example, transit oriented developments complemented with policies that encourage public

transport usage, walking and cycling could enhance the creation of social networks, trust and

reciprocity, reducing social exclusion and improving the well-being of transport disadvantaged

groups (Currie & Stanley, 2008; Currie et al., 2010; Kamruzzaman et al., 2014; Stanley &

Lucas, 2008; Stanley & Vella-Brodrick, 2009; Utsunomiya, 2016).

Increasing trip making could promote the sense of community (Stanley et al., 2012), while

policies restricting demand (i.e. congestion charges) reduce the number of social trips affecting

social capital (Munford, 2017). Having said that,, sociodemographic and mobility related

characteristics such as car availability, income or trip frequency are determinants of the

differences in social capital levels among individuals (Carrasco & Cid-Aguayo, 2012; Lucas et

al., 2016). However, despite this evidence, social exclusion, transport disadvantage, and social

capital conform an entwined process with complex non-linear causal relationships that require

more quantitative research for a better understanding Schwanen et al. (2015).

In contrast, fewer studies have evaluated the relation in the opposite direction, that is, the

effects that social capital has on travel behaviour. To start, the relationships between socio-

demographics, activity participation and travel behaviour can be captured with structural

equation modelling (SEM) and discrete choice models. Furthermore, the inclusion of activity

participation can provide a better understanding of travel behaviour than through socio-

demographics alone (Lu & Pas, 1999). Using SEM, (Carrasco & Miller, 2006) assessed the

influence of social networks on the propensity to perform social activities. Even though travel

dynamics and social networks are interdependent Sharmeen et al. (2014), the incorporation of

this interactions is useful to describe the social context that determines the travel behaviour.

Discrete choice models have also been applied in diverse contexts to model the social

influence and social interaction on individual decision making (Brock & Durlauf, 2001; Dugundji

& Gulyás, 2008; Maness et al., 2015; Páez et al., 2008).

It is especially relevant the research by Di Ciommo et al. (2014), who explored the influence

of social capital in the choice of a new metro line in Madrid. They incorporated two dummy

variables as social capital proxies to their model: participation in voluntary activities and

receiving help for tasks. Both resulted significant, while the shift to metro was higher for people

helped and lower for people participating in voluntary activities, so different types of social

capital might have different effects on travel behaviour. However, this approach has some

methodological limitations since the proxy variables used to measure social capital do not

respond to a rigorous definition of the concept.

Page 5: Evaluating the influence of social capital on travel

3. The TransMiCable project

TransMiCable is a cable car mass transit system implemented to complement Bogotá’s

Public Transport System in zones where hillside conditions require alternative solutions to

mobility. Currently, the system counts with one line operating in the administrative area of

Ciudad Bolívar, in the south urban fringe of the city, characterized by originally informal

settlements with high poverty levels. There are plans to extend the system with new corridors.

In fact, a second line project in San Cristóbal, a zone with similar conditions to those of Ciudad

Bolívar, is in studies and design phase.

The current study is framed in the influence zone of the cable in Ciudad Bolívar. The cable

started operations on December, 2018, with the objective of improving the quality of life of the

community. The line has a length of 3.4 km, and is composed of four stations. The travel time

of the route is 13.5 minutes, the capacity is around 3,600 passengers per hour and it moves

close to 22,000 passengers in a typical day. Before the cable, an average displacement

between the terminal stations could take up to one hour and the typical modes used for it were

formal bus and informal paratransit services provided by private vehicles. At the base station

Portal el Tunal, shifts between the cable and the bus rapid transit (BRT) system of the city,

known as TransMilenio, can be made without additional charges, that is, the two systems are

fare and physically integrated. Additional to the cable, public investments in the zone for the

project contemplate a complementary urban redevelopment plan with facilities for cultural,

recreational and social activities, community centres and a program to support home

improvements to reduce geomorphological hazards in the zone (Sarmiento et al., 2020).

The south-west peripheries of Bogotá, including Ciudad Bolívar, are considered to be

economic and spatial segregated, with very poor accessibility considering that high income

households and most opportunities are found to the central and north-eastern areas (Arellana

et al., 2020; Guzman et al., 2017; Guzman & Oviedo, 2018). The population in the influence

zone of TransMiCable in Ciudad Bolívar was then denominated as socially vulnerable,

characterized by low income, informal settlements, transport disadvantages and unplanned

urbanization. This situation led people to a social exclusion conditions where they had to trade-

off valuable resources (i.e. time) to respond to their mobility needs (Oviedo & Titheridge, 2016).

The history is of TransMiCable is well represented by the context of Ciudad Bolívar. The

locality was initially informally urbanized with self-built settlements, a high proportion of rural

to urban migrants and victims of forced internal displacement product of the armed conflict and

the waves of violence that have affected the country in the last century (Madrigal & Sánchez,

2014). Furthermore, the official annexation of Ciudad Bolívar to Bogotá in 1984 and the

provision of public services was conditioned to a series of initiatives and confrontations lead

Page 6: Evaluating the influence of social capital on travel

by the local community to stablish some occupancy norms that facilitated the recognition from

the authorities (Forero & Molano, 2015). This sense of collective work to improve the

neighbourhood conditions emerged once again in 2007 when then a group of social leaders,

motivated by the success of the cable car implemented in Medellín (Bocarejo et al., 2014),

started a mobilization to demand a similar solution for Ciudad Bolívar. These efforts in between

different local administration changes were crucial for the approval and funding of the project

that was developed a decade later under a participatory process including community

members and local government representatives from different sectors (Sarmiento et al., 2020).

Given this background, TransMiCable is an interesting case study to evaluate the influence

that social capital has on travel behaviour of vulnerable users.

4. Data

The analysis relies on two components of the baseline surveys collected for the TrUST

study (Sarmiento et al., 2020), before the inauguration of the cable between February and

November 2018. The population target where adults living within 800 m buffer from the cable

stations without plans of moving for at least two years. A general survey was applied to a

sample of 1,031 individuals. One respondent was randomly selected per households

nominated considering a probability proportional to the number of blocks in the study area.

The general questionnaire gathered sociodemographic, mobility, accessibility, health and

social related information, including a series of preferences and attitudes toward some social

capital indicators. Then, among these people a subsample of 343 participants was choose to

answer a stated preference (SP) experiment to assess the willingness to use the cable service.

When data was collected and digitalized, a debugging process resulted in eliminating 25

observations in the general survey and 3 in the SP, so the final sample sizes for the analysis

were 1,006 and 340 respectively.

4.1. Sample

Table 1 presents and description of the samples, including the characteristics of the

individuals interviewed in the general survey and the SP component. Data shows low

education, low income and high unemployment. Around 54% of the households at the moment

of the data collection subsisted with less than one monthly minimum wage (approximately 250

USD in 2019), and 98% with less than two minimum wages, while the mean household size

was 3.8 residents, so per capita income is considerable low. All households care catalogued

in the two lowest socioeconomic strata (SES), a housing classification system (six categories

according to physical characteristics) associated with income level in Colombia (Cantillo-

García et al., 2019), but the lower zones of the cable hill present higher housing prices and

Page 7: Evaluating the influence of social capital on travel

better urban conditions. The set of indicators and attitudinal questions used to measure social

capital is discussed in Section 5.1.

Table 1 Sample description

General survey SP

Sample Size 1006 340

Attribute Proportion

Time living in the house

< 8 years 32% 26%

8-25 years 36% 39%

> 25 years 33% 35%

Age

18-28 25% 21%

28-41 23% 24%

41-58 25% 26%

> 58 28% 29%

Sex Female 65% 74%

Male 35% 26%

Marital status

Single 20% 21%

Married or domestic partner 53% 53%

Divorced, separated or widow 26% 27%

Education level

Primary 39% 44%

Secondary 46% 43%

Higher education 16% 13%

Occupation Studies or works 64% 59%

Non occupied 36% 41%

Vehicle ownership

Motorcycle 16% 14%

Car 7% 6%

Household income

< 1 Monthly minimum wage 54% 56%

> 1 Monthly minimum wage 46% 44%

Socioeconomic strata

SES 1 84% 96%

SES 2 15% 3%

Owns the house where living 42% 42%

Household size < 4 46% 39%

4.2. Stated preferences (SP)

Stated preferences refer to a range of techniques used to gather information about

preferences in hypothetical scenarios designed by a modeller to represent a specific market

scenario. In our case, the SP component corresponds to a choice experiment where each

respondent faced nine situations where they had to choose whether use the new cable car or

their current typical mode, so we obtained 3,060 pseudo-observations. The cable alternative

was described according to travel time savings, additional waiting time, additional walking time

and cost savings in comparison to the typical mode of the respondent. The levels of the

attributes considered in the choice experiment are presented in Table 2. Lastly, the alternative

cable was chosen in 79% of the total pseudo-observations.

Page 8: Evaluating the influence of social capital on travel

Table 2 Attribute levels in stated preference experiment

Choice situation Travel time

savings (min)

Additional waiting time

(min)

Additional walking time

(min)

Cost savings (COP)

1 10 5 2 $0

2 30 8 2 $800

3 20 10 2 $1,500

4 20 5 4 $800

5 10 8 4 $1,500

6 30 10 4 $0

7 30 5 6 $1,500

8 20 8 6 $0

9 10 10 6 $800

Expected effect on the willingness to

use the cable + - - +

5. Model formulation

The methodological approach for the investigation is based on the specification of discrete

choice models where the construct social capital is explicitly accounted as a latent variable.

The discrete choice models are estimated using the SP data, while social capital levels are

measured with the general survey described in section 4. The theoretical framework and

modelling approach are described below.

5.1. Measuring social capital

Social capital is a multidimensional construct that embeds a diverse range of

manifestations of civic engagement, trust and fairness, so focusing on a single component can

generate results that do not correspond to the concept as a whole (Owen & Videras, 2009).

Each social capital dimension represents a different aspect of the concept, so a good measure

should account for as many as possible. Typical dimensions used to calculate social capital

include interpersonal trust, civic engagement social networks and groups membership, as can

be seen in Table 3, where a set of selected empirical studies measuring social capital are

summarized.

We then define social capital as a second order latent construct formed by six first order

dimensions (latent variables), each of which measures or reflects a set of indicators

established from attitudinal questions included in the general survey, based on questions with

dichotomous and Likert answers. Table 4 describes the indicators for each domain, the scale

used and the response proportion for each category. The categories of the indicators were

ordered in such a way that the relation between them and domain level was expected to be

positive. The domains defined intend to measure the following aspects:

• Groups: Measures the tendency of the individual to belong to civic groups.

Page 9: Evaluating the influence of social capital on travel

• Networks: Measures the availability of networks and connections that might help the

individual in the case of an unfortunate event

• Interpersonal trust: Measures the extension of social connections from which it is possible

to rely in the case of an emergency.

• Institutional trust: Measures the level of trust in the government and some civic institutions.

• Cooperation: The perception of individuals regarding the level of cooperation in the

neighbourhood to improve its condition and solve problems.

• Empowerment: Related to the degree of cooperation, autonomy and joint mobilization to

deal with problems and special circumstances in the neighbourhood.

Table 3 Dimensions of social capital measured in selected studies

Authors Study region Social capital dimensions Approach

Brehm & Rahn (1997)

United states Confidence in government, civic engagement, interpersonal trust

SEM

Paldam (2000) - Trust, networks, ease of cooperation Theoretical discussion

Narayan & Cassidy (2001)

Ghana and Uganda

Groups, generalized norms, togetherness, everyday sociability, neighbourhood

connections, volunteerism, trust Factor analysis

(Li et al., 2005) Britain Neighbourhood attachment, social

network, civic participation Generalized latent models

Owen & Videras (2009)

United States Trust, fairness, groups membership Latent class

Congdon (2010) England Social support, trust, groups membership MIMIC

Savage et al. (2013)

Britain Contacts and connections Latent class

Kamruzzaman et al. (2014)

Brisbane Trust, reciprocity, connections with

neighbours Factor analysis

Neves & Fonseca (2015)

Lisbon Bridging, social participation Latent Class

Utsunomiya (2016)

Japan Trust, networks, participation Regression

Munford (2017) London Social trips made Regression

(Östh et al., 2018)

Sweden Community connectivity Regression

The latent variables where modelled via Multiple Indicator Multiple Causes (MIMIC) model

(Bollen, 1989, chapter 7), which describes the latent variable 𝜂𝑖𝑝 as a function of a set of

observed variables 𝑆𝑖 affected by the parameters ∝𝑖𝑝 to estimate, plus an error term 𝜗𝑖𝑝, as

seen in Equation 1 (structural equations). The incorporation 𝑆𝑖, also known as causes, allows

to capture the heterogeneity of the latent variables through the characteristics of the individual

i. At the same time, the latent variable explains a set of attitudinal indicators Cip, through

ordered probit regressions that recognize the ordinal nature of the indicators. In this case each

categorical response k of indicator p is a function of the latent variable, a set of parameters 𝛾𝑖𝑝

Page 10: Evaluating the influence of social capital on travel

to estimate plus an error term 𝜁𝑖𝑝, and a set of thresholds to estimate, as shown in Equation 2

(measurement equations) and Equation 3.

𝜂𝑖𝑝 =∑ ∝𝑖𝑝 𝑆𝑖𝑝 +𝜗𝑖𝑝 (1)

𝐶𝑖𝑝∗ =∑𝛾𝑖𝑝𝜂𝑖𝑝 + 𝜁𝑖𝑝 (2)

𝐶𝑖𝑝 =

{

1 𝑖𝑓 𝐶𝑖𝑝

∗ ≤ 𝜏1

2 𝑖𝑓 𝜏2 < 𝐶𝑖𝑝∗ ≤ 𝜏2

…𝑘 𝑖𝑓 𝜏𝑘−1 < 𝐶𝑖𝑝

(3)

Figure 1 displays the structure of the model conceived to measure social capital. This the

final structure where only the significant causes for each domain are included, but other

observed variables were also evaluated to capture the heterogeneity of the domains. The

behaviour of the first order domains is completely explained by the MIMIC approach. The

relation between the domains and social capital is formative, so we postulate that social capital

is a composite caused by the domains, represented by a linear combination of the first order

latent variables. In order for this specification to be identified, the repeated observations

approach is implemented where the manifest indicators of the domains are reused for the

second order construct (Van Riel et al., 2017), this additional relations were omitted in the

figure for visualization purposes.

Figure 1 Social capital measurement model structure

Page 11: Evaluating the influence of social capital on travel

Table 4 Social capital domains and indicators

Domain Indicator (question) Scale Response Proportions

1 2 3 4 5

Groups

Belongs to a social group or organization 1: No -> 2:Yes 69% 31% - - -

Belongs to a group to improve the infrastructure of the neighbourhood 1: No -> 2:Yes 93% 7% - - -

Belongs to a group to improve the security of the neighbourhood 1: No -> 2:Yes 92% 8% - - -

Belongs to a group to improve the appearance of the neighbourhood 1: No -> 2:Yes 92% 8% - - -

Belongs to a group to improve the provision of public services in the neighbourhood 1: No -> 2:Yes 98% 2% - - -

Belongs to a group to improve the tolerance among young people 1: No -> 2:Yes 98% 2% - - -

Belongs to a group to improve transport services in the neighbourhood 1: No -> 2:Yes 94% 6% - - -

Networks

In case of an unfortunate event, do you think your personal circle would help you? 1: No -> 2:Yes 2% 98% - - -

In case of an unfortunate event, do you think social organizations would help you? 1: No -> 2:Yes 22% 78% - - -

In case of an unfortunate event, do you think government agencies would help you? 1: No -> 2:Yes 56% 44% - - -

In case of an unfortunate event, do you think private agencies would help you? 1: No -> 2:Yes 64% 36% - - -

Interpersonal trust

In the event of an emergency, who can you rely to borrow money 1: Nobody -> 2: Family -> 3: Friends-

Neighbours -> 4: Combination 14% 68% 16% 3% -

In the event of an emergency, who you can rely for help to childcare 1: Nobody -> 2: Family -> 3: Friends-

Neighbours -> 4: Combination 9% 85% 5% 1% -

In the event of an emergency, who you can rely to for temporal lodging 1: Nobody -> 2: Family -> 3: Friends-

Neighbours -> 4: Combination 6% 81% 12% 1% -

Institutional trust

Trust level in the government 1: None -> 5: Very high 77% 16% 4% 2% 1%

Trust level in the police 1: None -> 5: Very high 56% 24% 14% 4% 1%

Trust level in the church 1: None -> 5: Very high 23% 15% 22% 22% 18%

Cooperation

Proportion of the community that cooperates to improve the neighbourhood 1: Nobody -> 5: All 36% 35% 15% 7% 7%

Proportion of the community that cooperates to solve a problem in the neighbourhood

1: Nobody -> 5: All 30% 21% 11% 19% 19%

Empowerment

If there is a problem in the neighbourhood, how do you think the situation will be dealt with?

1: Each person deals with it independently

33% 25% 31% 7% 4% -> 5: The neighbourhood jointly

mobilizes

If some public transport lines are removed, how do you think the situation will be dealt with?

1: Each person deals with it independently

20% 17% 47% 17% - -> 4: The neighbourhood jointly

mobilizes

At what degree do you think that the locality takes into account the problems that you have raised?

1: None -> 5: Very high 47% 31% 15% 4% 4%

Social capital increases →

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5.2. Discrete choice models with latent variables

Discrete choice models are grounded in the random utility theory, which states that

consumers take the economic decisions that maximize their benefit or utility, subject to legal,

financial, physical and other constraints (McFadden, 2001). In a discrete choice modelling,

choice maker I faces a set of available alternatives j each of which is associated to a utility Uij

with the structure of Equation 4, where Vij is the systematic or measurable utility, and 𝜀𝑖𝑗 is a

random error component. The systematic utility is generally specified as a linear combination

of a vector of parameters ij to estimate and a set of observed attributes Xij.,plus an alternative

specific constant (ASCij), that represents the net influence of all unobserved or not explicitly

included characteristics of the individual an the alternative that affect the utility function

(Ortúzar & Willumsen, 2011, chapter 7).

𝑈𝑖𝑗 = 𝑉𝑖𝑗 + 𝜀𝑖𝑗 (4)

Depending on the structure of 𝜀𝑖𝑗 different models are derived. For instance, if it is assumed to

be independent and identically Gumbel distributed, the well-known multinomial logit (MNL) is specified,

where the probability of selecting a determined alternative is given by Equation 5, where is a scale

parameter normalised to one for identification purposes (Ortúzar & Willumsen, 2011, chapter 7).

Other common specifications of discrete choice models such as the nested logit and mixed

logit allow to relax some critical assumptions of the MNL such as the independence of

alternatives and homoscedasticity in preferences.

𝑃𝑗𝑞 =exp(𝑉𝑖𝑗)

∑ exp (𝑉𝑖𝑗𝑗 ) (5)

Latent variables can be accounted in discrete choice models through the integrated choice

and latent variable (ICLV) framework, allowing to explicitly model the cognitive process that

underlies the choice process (Vij & Walker, 2016). A ICLV model is confirmed by two

components, a multinomial choice model and a latent variable model. The latter is commonly

modelled with a MIMIC as explained in Section 5.1, allowing to evaluate the direct and indirect

effects of observed and latent variables in the utility function. The latent variable is included in

the utility function as shown in (6), being necessary to estimate the associated parameters ,

resulting the model structure of Figure 2. Even though the notation and indices used suggest

that the utility function depends on the individual i, alternative j, and latent variable p, it is

important to mention that it could also depend on the choice situation. However, this is not the

case for the current analysis.

𝑈𝑖𝑗 =∑ 𝛽𝑖𝑗𝑋𝑖𝑗 +∑ 𝜃𝑖𝑝𝑗𝜂𝑖𝑝𝑗 + 𝜀𝑖𝑗 (6)

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Figure 2 ICLV model framework

Given this model structure, the unconditional choice probability is given by (7) (Walker &

Ben-Akiva, 2002), where 𝑦𝑖𝑗 is the vector of observed choices, f(*) is the density function of

the indicators used to measure the latent variables and g(*) is de density function of the latent

variables. If the choice component is specified as a MNL, then the term

Pr(𝑦𝑖𝑗|𝑋𝑖𝑗 , 𝜂𝑖𝑝𝑗 , 𝛽𝑖𝑗 , 𝜃𝑖𝑝𝑗) follows the structure of (5). This functional form can be estimated

using simulated maximum likelihood methods (Train, 2009), allowing for the simultaneous

estimation of all ICLV components.

Pr(𝑦𝑖𝑗|𝑉𝑖𝑗) = ∫ Pr(𝑦𝑖𝑗|𝑋𝑖𝑗 , 𝜂𝑖𝑝𝑗 , 𝛽𝑖𝑗 , 𝜃𝑖𝑝𝑗) 𝑓(𝐶𝑖𝑝𝑗|𝜂𝑖𝑝𝑗 , 𝛾𝑖𝑝𝑗) 𝑔(𝜂𝑖𝑝𝑗|𝑆𝑖𝑝𝑗 , ∝𝑖𝑝𝑗) 𝑑𝜂𝑖𝑝𝑗𝜂𝑖𝑝𝑗

(7)

6. Results and discussion

6.1. Modelling approach

Initially, we validated the latent variable component of the ICLV framework. This required

to test the conceptual structure proposed in Figure 1. For the purpose, the social capital

measurement model was assessed with variance based SEM using individual data from the

general survey, allowing to empirically test the causal relations defined, as well as the

consistency, reliability, validity and goodness of fit of the structure (Van Riel et al., 2017). The

hierarchical structure was also assessed following the paradigm by Koufteros et al. (2009).

Then, the ICLV modelling framework was implemented to evaluate the effects of social

capital on the willingness to use TransMiCable. After testing different specifications for the

utility function of the choice component (estimated with the SP data of stated choices), and

debugging non-significant observed causes of the social capital domains, two final models (M1

and M2) were selected. In M1, the latent construct social capital is introduced in the utility

function interacting with the ASC (Figure 3), capturing the mean effect on the probability of

choosing the cable. In M2, social capital interacts with the cost savings and travel time savings,

determining the effect that the construct has on the valuation of travel time and cost (Figure

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4). In both cases the latent variable component of social capital is measured following the

model conceptualized in Section 5.1 and particularly, in Figure 1.

Figure 3 ICLV M1model structure

Figure 4 ICLV M2 model structure

The systematic utility function for the alternative TransMiCable (TMC) for models M1 and

M2 is presented in (8) and (9) respectively, including social capital (SC), travel time savings

(TT), additional waiting time (WTT), additional walking time (WKT) and cost savings (C). Since

the choice exercise consists of two alternatives, and the attributes of the cable are referenced

to the current typical mode, the systematic utility for the later was normalized to zero. The

attribute cost was transformed to hundreds of COP. To conclude, the two components of each

ICLV model were estimated simultaneously using the Apollo package (Hess & Palma, 2019),

available in the R software.

𝑈𝑇𝑀𝐶,𝑀1 = 𝐴𝑆𝐶𝑇𝑀𝐶 + 𝜃𝑆𝐶 ∗ 𝑆𝐶 + 𝛽𝑇𝑇 ∗ 𝑇𝑇 + 𝛽𝑊𝑇𝑇 ∗ 𝑊𝑇𝑇 + 𝛽𝑊𝐾𝑇 ∗ 𝑊𝐾𝑇 + 𝛽𝐶 ∗ 𝐶 (8)

𝑈𝑇𝑀𝐶,𝑀2 = 𝐴𝑆𝐶𝑇𝑀𝐶 + (𝛽𝑇𝑇 + 𝜃𝑇𝑇,𝑆𝐶 ∗ 𝑆𝐶) ∗ 𝑇𝑇 + 𝛽𝑊𝑇𝑇 ∗ 𝑊𝑇𝑇 + 𝛽𝑊𝐾𝑇 ∗ 𝑊𝐾𝑇+(𝛽𝐶

+ 𝜃𝐶,𝑆𝐶 ∗ 𝑆𝐶) ∗ 𝐶 (9)

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6.2. Modelling results

Table 5 presents the estimation results for the structural equations of the latent variable

component for each ICLV. Measurement equations (2) and respective thresholds (3), are not

presented for the sake of the simplicity of the manuscript, but all parameters were positive and

statistically significant different than zero at the 95% confidence, so the positive relation

between indicators and domains was confirmed.

Table 5 Estimation results latent variable component ICLV models

Domain / Cause / M1 M2

construct domain Estimate t-test Pr(>|t|) Estimate t-test Pr(>|t|)

Groups

Time in house < 8 years -0.39 -4.84 0.00 -0.55 -9.82 0.00

Owns house 0.28 4.31 0.00 0.27 5.27 0.00

Higher education 0.35 4.57 0.00 0.44 6.95 0.00

Networks

Female 0.19 2.23 0.03 0.13 1.47 0.14

Age 18-28 -0.56 -5.30 0.00 -0.51 -4.69 0.00

Age 28-41 -0.38 -3.48 0.00 -0.30 -2.78 0.01

Interpersonal trust

Female 0.36 2.91 0.00 0.34 2.77 0.01

Higher education 0.47 2.92 0.00 0.52 3.24 0.00

Unemployed -0.36 -2.92 0.00 -0.35 -2.92 0.00

Owns motorcycle 0.20 1.28 0.20 0.22 1.27 0.20

Institutional trust

Household size < 4 0.18 2.89 0.00 0.17 3.38 0.00

Age 18-28 -0.65 -6.99 0.00 -0.52 -5.89 0.00

Age 28-41 -0.69 -7.37 0.00 -0.56 -7.67 0.00

Age 41-58 -0.45 -5.40 0.00 -0.43 -5.96 0.00

Cooperation

Female 0.15 1.73 0.08 0.08 0.88 0.38

Age 18-28 -0.29 -2.79 0.01 -0.26 -2.47 0.01

Divorced, separated -0.15 -1.69 0.09 -0.16 -1.91 0.06

Empowerment

Female -0.33 -3.02 0.00 -0.38 -3.68 0.00

Age 41-58 0.34 2.89 0.00 0.28 2.49 0.01

Zone 1 -0.58 -5.67 0.00 -0.48 -5.11 0.00

Social capital

Groups 12.18 2.28 0.02 9.19 3.13 0.00

Networks 6.67 2.30 0.02 4.37 3.09 0.00

Interpersonal trust 2.23 1.99 0.05 1.49 3.01 0.00

Institutional trust 12.43 2.28 0.02 10.92 3.11 0.00

Cooperation 7.53 2.27 0.02 5.73 3.47 0.00

Empowerment 4.92 2.22 0.03 4.67 3.01 0.00

There are some small differences in the structural estimates of M1 and M2, because the

calibration of the combined probability function (7), given the differences in the structure of the

utility, leads to different solutions. However, the relations and values in both models are similar.

The heterogeneity of the domains of social capital is mainly captured by the individual’s age,

education and time living in the neighbourhood. If the total effect of this observed variables is

calculated, one can determine that individual stocks of social capital are significantly lower for

persons younger than 41 years, separated, divorced and for those living in the neighbourhood

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for less than 8 years. In contrast, social capital levels are higher for people with superior

education, females, households that own a house and those with less than 4 residents.

Surprisingly, social capital levels are not sensitive to the income, private vehicle ownership and

economic occupation, which might be explained by the uniformity of the sample in these

aspects, given that most of the respondents could be categorized in low-income population

segments. Also, as expected, all the domains have a positive significant effect on the

measurement of social capital.

It is curious that residents of the lower zones of the cable hillside (zone 1), that is, closer to

the interchange base station Portal el Tunal, seem to have lower level of the domain

empowerment, even though the average income and urban physical conditions are relatively

better. This situation might be related to the sense of community and cooperation developed

in the upper zones, which was demonstrated in que civic participation and community

leadership that was crucial for the development of the TransMiCable project, considering that

these were the most affected zones by the low accessibility and transport disadvantages that

characterized the study area before the cable. If this is correct, it demonstrates that individual

social capital might develop even in adverse situations, where the solution of collective

solutions requires social organization.

Table 6 Estimation results choice component ICLV models

Parameter Description M1 M2

Estimate t-test Pr(>|t|) Estimate t-test Pr(>|t|)

𝐴𝑆𝐶𝑇𝑀𝐶 ASC: TransMiCable 6.15 7.08 0.00 0.89 2.69 0.01

𝜃𝑆𝐶 Interaction social capital with ASC

0.41 2.25 0.02 - - -

𝛽𝑇𝑇 Travel time savings 0.39 4.08 0.00 3.31 7.14 0.00

𝜃𝑇𝑇,𝑆𝐶 Interaction social capital with travel time savings

- - - 0.25 2.96 0.00

𝛽𝑊𝑇𝑇 Waiting time -1.39 -3.61 0.00 -2.16 -5.11 0.00

𝛽𝑊𝑇𝑇 Walking time -0.59 -1.24 0.22 -0.49 -1.01 0.31

𝛽𝐶 Cost savings 1.03 7.66 0.00 4.44 4.95 0.00

𝜃𝐶,𝑆𝐶 Interaction social capital with cost savings

- - - 0.28 2.47 0.01

Log-Likelihood (whole ICLV model) -31,734.6 -31,743.5

Log-Likelihood (choice component -842.0 -853.8

Rho2 (choice component) 0.603 0.597

Likewise, Table 6 presents the estimation results for the parameters of the choice

components. Most parameters were significant at the 95% confidence level, except for the

parameter of walking time, which seems to be of little relevance. The ASC for TransMiCable

is significantly higher than zero, suggesting a higher preference for the cable – ceteris paribus

– over the current typical model of the individual. This might evidence some policy bias in the

responses of SP experiment, given that the cable is a project that generates a lot of expectative

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and is desired by the community. The probability of using TransMiCable is negatively affected

by the additional walking and waiting times.

M1 model indicates that higher stocks of social capital are associated with a higher

probability of choosing the new cable car line. This is according to out hypothesis that the use

of the cable might related with an appropriation process of the project, which should be more

important for those with a more solid sense of community. In this line, dense networks of

interaction broaden the participants’ sense of self, developing the sense of community, and

enhancing the participants taste for collective benefits. In fact, historical analysis suggests that

networks of organized reciprocity an civic solidarity, that is, high social capital levels, are a

precondition for socioeconomic modernization, instead of being an epiphenomenon for it

(Putnam, 2000). Given this theory and the results of the present study, the evaluation of social

capital is relevant for the evaluation of transport related investments, as the case of

TransMiCable. The success of this kind of projects and demand forecasts might be related to

the social capital levels of the individuals interacting in the influence zone, especially when

vulnerable communities are in place. On the other hand, M2 results suggest that individuals

with higher social capital have a higher valuation of the travel time and cost savings, so the

benefits of the project are perceived differently.

Finally, if the goodness of fit of the choice components in the models M1 and M2 is

compared with the correspondent reduced model (Log-Likelihood -1,525; Rho2 0.287), it can

be concluded that the introduction of the concept social capital improves the forecasting

capabilities of the mode choice model. The reduced model refers to the case where all the

causal variables for social capital and its domains are explicitly included in the utility function

and no latent construct is considered. Therefore, the latent variable seems to successfully

account for the relations between the characteristics and attitudes that determine a large part

of the mode choice process of the individuals.

7. Conclusion

The research aimed to evaluate the influence that social capital has on the willingness to

use a new cable car line in Bogotá. To do this, integrated choice and latent variable models

were specified, where social capital was explicitly incorporated in the utility function of the

alternative as a second order latent variable formed by six first order domains: groups,

networks, interpersonal trust, institutional trust, cooperation and empowerment. Major findings

could be summarized into three points. First, higher social capital levels are associated with a

greater willingness to use the new cable. Second, the valuation of travel time and cost savings

increases with social capital levels. Third, differences in individual social capital stock might be

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explained by sociodemographic attributes, principally age, education level and time living in

the neighbourhood.

Furthermore, the incorporation of the latent construct social capital significantly increases

the predictive capabilities of the mode choice model. This is in line with theory and findings

established in related studies, where it is hypothesized that accounting for social interactions,

social influence, attitudes and perceptions could help to improve the understanding of the

complex relations that make up the economic behaviour of individuals (i.e. the process of mode

choice) (Dugundji et al., 2008, 2011).

Stocks of social capital might be a factor to use for decision-makers in the definition of risks,

demand forecast or financial evaluation of transport investments. However, the notion that the

success of a project is linked to higher levels of social capital could be used as a focalization

tool with great care, since it could transform into a perverse incentive that prioritizes public

investments in zones with better social conditions, broadening inequality gaps in Global South

countries characterized by high levels of poverty and vulnerability. Instead, we encourage

decision and policy makers to consider that demand of transport infrastructure and services,

especially public transport related, is conditioned to the characteristics of the social interactions

of the community, so it is a factor that should be considered in viability assessments and

operation phases in order to guarantee a higher rate of success of the outcomes proposed.

The study presents a series of limitations that must be addressed in future research. To

start, the study population belongs to a very specific context, so evaluations for more general

samples are required for the evaluation of the implications in different population segments

and circumstances. Also, the hypothetical nature of the stated choice experiment might

produce bias results, so further model specifications with mixed revealed and stated

preferences is prudent. In particular, the expectations of the community toward TransMiCable

could induce some policy bias in the response of the survey, so further exercises incorporating

a wider range of public and private mode alternatives is necessary. Ultimately, MIMIC based

ICLV framework assumes the latent variable as continuous, so the specification of discrete

choice models with latent classes could permit to evaluate different types or classes of social

capital, rather than a unidimensional measure.

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