Inter-University Sustainability Benchmarking for Canadian Higher Education Institutions : Water , Energy , and Carbon Flows for Technical-Level Decision-Making

The education sector is one of the major contributors to the total greenhouse gas (GHG) emissions in Canada, i.e., 16% of total emissions among 11 sectors. Canadian higher education institutions (HEIs) consume around 60% of the total energy fed to the educational sector. Existing tools holistically cover a wide array of functions to assess the sustainability of HEIs. The infrastructure (engineered) systems are the pivotal units responsible for the majority of energy and water consumption and may have been built, retrofitted, or replaced at different times using different materials and technologies. Consequently, infrastructures have varying efficiency, designs, building envelopes, and environmental impacts. For technical-level decision making for improving the engineered systems, HEIs need to be benchmarked on the basis of their water, energy, and carbon flows. A methodology is developed for sustainability assessment of 34 Canadian HEIs that are classified into small, medium, and large sizes based on their number of full-time equivalent students (FTE). Energy, water consumption, number of students, and floor area is measured in different units and are, thus, normalized. The study revealed that the energy source was the primary factor affecting the sustainability performance of an institution. The analysis also revealed that small-sized institutions outperformed medium-to-large-sized institutions.


Introduction
Higher educational institutions (HEIs), such as universities and colleges, are mandated to educate citizens, engage communities, lead innovation, and serve as hubs for science and research [1].Owing to the specific role of universities in fostering talent and educating future generations, it can be argued that universities should have higher positive impact on a community than any other public sector [2][3][4].Universities also have large socio-economic impacts on their communities.For instance, 96 Canadian HEIs with a cumulative budget of $35 billion/year employ around 250,000 people [5].This amount is approximately 2.79% of the nation's gross domestic production [6].Appreciating their worth, HEIs have been promoting and implementing sustainable development (SD) principles in their growth plans over the past few decades [7].
In the 21st century, SD has been recognized as an important concept in the perspective of socio-economic and environmental entangled policies [8].HEIs are assessing their overall sustainability in the wider context by situating the concepts of sustainability in all their functions, including academics (e.g., curriculum and research activities), engagement (e.g., employee orientation and community participation), planning and administration (e.g., participatory governance, diversity, and equity coordination), and operations (e.g., climate, buildings, energy, transportation, and water) [9].For example, Bauer et al. [10] applied an empirical approach to improving the sustainability governance at universities in Germany which covers politics, profession, organization, knowledge, and visibility.Universities are complex physical infrastructure systems housing roads, water, and wastewater facilities, and different types of buildings that vary in scope, operation, characteristics, and area.Universities may be regarded as a small city [11].The significance or magnitude of infrastructures in Canadian HEIs has yet to be adequately realized.
The National Science Foundation defined an engineered system as "a combination of components that work in synergy to collectively perform a useful function," such as manufacturing processes, technologies to improve quality of service, or infrastructure systems [12].In HEIs, the operation of engineered (infrastructure) systems and other activities (i.e., educational services, recreation and sports, and other extra-curricular activities) utilize immense natural resources to meet water and energy requirements and, consequently, produce carbon emissions.The existing approaches discussed in the following section aggregate the performance of all the functions to rank HEIs based on their overall sustainability.The final outcomes mask the actual facts about the utilization of natural resources and environmental impacts in an HEI.Hence, a sustainability assessment of these engineered systems in terms of water, energy, and carbon (WEC) flows is essential for technical-level decision making about improving their performance on a continuous and long-term basis (e.g., greener energy source, efficient plumbing fixtures and lighting systems, wastewater and waste to energy recycling, and building retrofits).
Globally, HEIs have been identified as one of the major sources of greenhouse gas (GHG) emissions in an urban setting.A study in the UK revealed that energy consumption increased by 2.7% and the related CO 2 emissions rose by 4.3% between 2005 and 2006.Overall, GHG emissions generated through HEIs in the UK soared from 1.78 to 2.05 tCO 2 e (metric tons of carbon equivalent) during the period from 1990 to 2005 [13].Similarly, in China, universities are the largest public sector contributing to the total GHG emissions by consuming 40% of the energy devoted to the public sector [14].Emissions per student at the Norwegian University of Technology and Science were significantly higher than the national average emission reported per citizen.Consequently, HEIs have been investing more in terms of investments to reduce their carbon emissions [15].
Educational services have been subgrouped under Canada's largest activity category as the commercial and institutional (C&I) sector.Emissions from the Canadian C&I sector are predicted to increase by 23% by 2020 from the 2011 reported values [16].The C&I sector consumes 10% of the total energy and emits 9% of the nation's GHG production as of 2013 [17].It is estimated that educational services have consumed 16% of the total energy supplied to the C&I sector at a staggering value of 134.7 PJ (Petajoule) ~1.34×10 8 GJ (Gigajoules) in 2009.If this trend continues, these services are likely to become the country's largest emission producing subgroup in the C&I category.Furthermore, HEIs alone represent 60% of the total energy consumption in the educational sector (i.e., both primary and higher education), which is equivalent to approximately 430,000 households in Canada [18,19].Canadian HEIs primarily rely on the national electricity grid that is often produced by fossil fuels and emits high GHG emissions.As HEIs consume water and energy (i.e., input flows) and produce GHG emissions (i.e., output flows), the term WEC flows is used for convenience.
The main objectives of this study were are to: (i) comprehensively review the current state of sustainability in HEIs including international declarations, reporting systems, and size-based classification, (ii) establish sized-based classification criteria for universities, (iii) develop a WEC flow weighting criteria and assessment methodology to be used for sustainability assessment of engineered systems in HEIs, and (iv) benchmark the Canadian HEIs based on their WEC flows for effective technical-level decision making for continuous performance improvement and to achieve long-term sustainability.
The present study encompasses WEC flows for 34 HEIs where 617,325 full-time equivalent (FTE) students used 12.7 million m 2 of building area.The combined energy usage in these HEIs was approximately 20 GJ.Statistical analysis was performed to fit a relationship between the response variable (GHG emissions) and other parameters, such as climate, energy, water, area, and the number of occupants (FTEs).Finally, a mathematical model was developed to rank the universities based on their WEC flows.The findings provided a platform to identify the underperforming HEIs and compare them with the excelling HEIs to highlight the most important factors affecting the ranking score.

Sustainable Development in HEIs
The idea of sustainability in HEIs was introduced in the Stockholm declaration held in 1972 [20].The historical background of declarations on the sustainability of HEIs developed by different organizations around the globe is given in Appendix A. For several years, the emphasis of the declarations was on introducing, integrating, and implementing the concepts of sustainability in HEI curricula development, enhancing teaching techniques, securing research funding [21,22], promoting awareness in the general public [23], and developing regional and international networks to support the concept of sustainability in HEIs [21][22][23][24].Until the start of the 21st century, although the declarations prompted HEIs to comply with the stated objectives, the declarations were vague and did not measure the sustainability performance of HEIs at an operational level [25].
Velazquez et al. [26] formally included the impact of resource utilization in the sustainability of a university campus.They defined a sustainable university as "a whole or as a part, that addresses, involves and promotes, on a global level, the minimization of negative environmental, economic, societal and health effects generated in the use of their resources in order to fulfill its functions of teaching, research, outreach and partnership, and stewardship in ways to help society make the transition to a sustainable lifestyle."A review of the declarations revealed that the G8 University Summit Sapporo Sustainability Declaration (No 19, Table A1, Appendix A) held in 2008 in Sapporo, Hokkaido (Japan), specified in the principles that universities should develop sustainable (green) campuses as experimental models (G8, 2008) [27].The idea was appreciated in almost all subsequent declarations.As a result, universities, including Canadian HEIs, started to appraise the sustainability of their infrastructures in terms of natural resource utilization and associated environmental impacts.In this section, we briefly outline the state of operational-level sustainability assessment in Canadian universities.
The United Nations (in 2030 Agenda for Sustainable Development) released 17 new agenda goals and 169 ambitious targets aimed to engage and define sustainable development.The report called all parties to reduce the accelerating GHG emission and recognized the disappearances among the committed targets and results of holding global temperature below two degree Celsius or 1.5 degree Celsius above pre-industrial levels.The fourth goal proclaims the vital role of education (pedagogical), training and public engagement and access to information are emphasized in this agreement aiming to bridge the technological innovation across the areas of concern, namely energy and medicine [28].There is an instrumental argument shaped by the notion that HEIs have the ability to shape the future leaders of the world, who morally have an obligation to engage sustainable development in their communities [29].
A university campus consists of different infrastructure systems that consume vast quantities of water and energy throughout their life cycles.Figure 1 shows that most of the energy over the entire lifespan of a building is consumed during the operational phase [30].During the operational phase, buildings are believed to emit 50% to 80% of emissions in their entire lifespan [30][31][32].Managing the environmental impacts and optimizing water and energy consumption are critical steps in the pursuit of objectives, such as zero-energy, green buildings, and sustainable campuses [33].Top 10 GHG emitting HEIs in Canada are listed in Table 1 [34].The average value for the HEIs listed in Table 1 is 4.41 tCO 2 e per FTE student [34].In the United States, average annual GHG emissions from all institutional classifications (colleges and universities) were reported as 7.67 tCO 2 e per FTE student for the year 2010 [35].With an increase in efforts towards sustainability, significant reductions have been noticed by the HEIs in the country during the present decade.A 13% reduction in just four years (2010 and 2014) from around 11 tCO 2 e per FTE student to 9.55 tCO 2 e per FTE student was reported by University of Nebraska-Lincoln [36].Another example is the Massachusetts Institute of Technology where the total net emissions fell 20 % below 2014 baseline, primarily due to shifting to renewable energy sources.It is worth to mention that 3% increase in total emissions was observed due to an increase in the area of buildings [37].Hence, continuous efforts would be needed for sustainable buildings' operations in future all over North America.
renewable energy sources.It is worth to mention that 3% increase in total emissions was observed due to an increase in the area of buildings [37].Hence, continuous efforts would be needed for sustainable buildings' operations in future all over North America.
HEIs have set targets and goals on individual bases through declarations.These declarations have not been effectively implemented due to lack of incentive structures [2,[38][39][40][41].Grindsted [38] studied 31 HEIs declarations and concluded that declarations aid the scope and intensity between HEIs and governments by: setting the role and function of universities (definition of SD in HEIs), declarations have set the base for a broader legislative measure on the national level, and finally increase competition between HEIs which, in turn, led to broader assessment tools.Lozano et al. [39] highlighted the importance of the declarations in three fronts, raise awareness of environmental degradation, communicate progress within universities and their stakeholders, and encourage universities to perform through benchmarking.However, many of these goals have not met their intended targets to date [23].Studies on the effect of declarations on HEIs' sustainability are ambiguous, it is true that declarations played a positive role in setting up a broader definition of sustainable assessment tools in HEIs [29,42].Although these tools raised the awareness of the sustainability in HEIs, the real outcomes through their practical implementation could not be attained, so far [29,43].Table 1.Top 10 Canadian greenhouse gas (GHG) per full-time equivalent students (FTEs) emitting higher education institutions (HEIs) [34].HEIs have set targets and goals on individual bases through declarations.These declarations have not been effectively implemented due to lack of incentive structures [2,[38][39][40][41].Grindsted [38] studied 31 HEIs declarations and concluded that declarations aid the scope and intensity between HEIs and governments by: setting the role and function of universities (definition of SD in HEIs), declarations have set the base for a broader legislative measure on the national level, and finally increase competition between HEIs which, in turn, led to broader assessment tools.Lozano et al. [39] highlighted the importance of the declarations in three fronts, raise awareness of environmental degradation, communicate progress within universities and their stakeholders, and encourage universities to perform through benchmarking.However, many of these goals have not met their intended targets to date [23].Studies on the effect of declarations on HEIs' sustainability are ambiguous, it is true that declarations played a positive role in setting up a broader definition of sustainable assessment tools in HEIs [29,42].Although these tools raised the awareness of the sustainability in HEIs, the real outcomes through their practical implementation could not be attained, so far [29,43].

GHG Emissions (tCO2e/ FTE)
The impacts of buildings in Canadian HEIs have not been clearly identified so far because of the difficulties in setting emission targets for their diverse classification, e.g., residential, administrative, and operational [13].Buildings have been built or retrofitted at different times using a range of materials and technologies and exhibit varying process efficiency, characteristics, building envelopes, and environmental impacts during their lifetime.Energy and water metabolic flows have significantly increased because of rapid population growth, climate change, enhanced lifestyles, and technological advances.Canada's emission trend report estimated that the per capita emissions during 2011 were around 20 tCO 2 e [16].Diverse trends in HEIs were observed.For instance, the Vancouver campus of the University of British Columbia (UBC) emitted nearly 53,000 tCO 2 e (~1.22 tCO 2 e /FTE) [44], and the University of Alberta, operating in extreme cold weather conditions, emitted nearly 300,000 tCO 2 e (~8.24 tCO 2 e /FTE) [34].Therefore, the type of energy sources and heating and cooling requirements play an important role in the sustainability assessment process.
In Canada, regional goals have been set by local authorities to achieve specific targets for HEIs.For example, based on the 2007 baseline emission levels, UBC set goals for 33% reduction by 2015, 67% by 2020, and 100% by 2050 [44].UBC was able to achieve a 28% reduction in its GHG emission by 2015 [45,46].These results show the need for more aggressive efforts toward sustainability even in motivated HEIs like the UBC.

Sustainability Reporting Systems
Performance indicators were suggested as a broader tool to assess sustainability performance [47].Wackernagel and Rees [48] developed an ecological footprint tool to evaluate the performance per unit area of land or number of students.Although the tool lacks standardization and has limited flexibility to include cost-related parameters and insufficient information for decision making [25], it was useful for communicating performance in terms of environmental impact on the basis of unit area or per student [49].Such a basis provided the opportunity for benchmarking systems with dissimilar sources of water and energy.
HEIs report their SD status for cross comparison with their peers using three prominent systems: the sustainability tracking assessment and rating system (STARS), the campus sustainability assessment framework (CSAF), and the sustainability assessment questionnaire (SAQ).Alghamdi et al. [50] listed 12 assessment tools employed in HEIs based on their relevance, usability, accessibility, and holistic coverage.These tools aim to push the boundaries beyond the conventional declarations listed in Table A1.In addition to STARS and SAQ, they included benchmarking indicators questions (BIQ-AUI), graphic assessment of sustainability in university (GASU), The Green Plan (Green Plan), adaptable model for assessing sustainability in higher education (AMAS), sustainable university model (SUM), green metric (GM), university environmental management system (UEMS), sustainable campus assessment system (SCAS), assessment instrument for sustainability in higher education (AISHE), and unit-based sustainability assessment tool (USAT).These assessment tools are considered to be the most important progress toward the SD of HEIs [51] STARS is a voluntary and self-reporting system that evaluates the performance of HEIs and ranks them based on five main categories: engagement, planning and administration, academics, innovation, and operations.Each of these categories has subcategories consisting of several indicators.Details on categories, subcategories, indicators, and the assessment procedure are given in Appendix B [9]. Figure 2a-c show sized-based performance results reported by STARS.In Figure 2a, the level of participation is similar across all sizes of HEIs. Figure 2b shows that none of the large-sized HEIs were ranked less than Silver.Conversely, in Figure 2c, 6% of the small-and medium-sized HEIs obtained a Bronze ranking.We used data from the STARS database to compare the overall sustainability performance scores with the WEC scores.Figure 3 shows that the normalized scores were higher than the individual WEC normalized average scores for all sizes of HEIs (i.e., 12 small-sized, 10 medium-sized, and 12 large-sized).None of the HEIs was able to secure the Platinum rating (refer to Appendix B).
sustainability assessment with 175 indicators subgrouped into environmental, social, equity, and economics categories.They stated that different units of indicators also cause difficulties in prioritizing improvement actions.
As mentioned above, STARS uses a more comprehensive approach by covering five performance categories using 73 indicators.In the operations category, 11 indicators (22.7% of total weight) under five subcategories were related to WEC flows in HEIs, i.e., air and climate: two indicators, buildings: two indicators, energy: two indicators, waste: three indicators, and water: two indicators [9].Here, indicators under waste were considered to appreciate the ideas of 'waste-toenergy' and 'waste minimization' for SD.Aggregating all the indicators and categorizing the HEIs as Gold, Silver, and Bronze are very useful for overall sustainability ranking.Alba-Hidalgo et al. [52] made an interesting argument that the most efficient approach to practically implementing the policies towards sustainability is self-assessment while other approaches (participating in ranking systems) primarily enhance the competitiveness without confirming whether the improvement actions were actually planned to improve the sustainability at the university or global level or not.
Nevertheless, existing tools with their holistic approach cannot be directly used for sustainability evaluation of engineered systems in HEIs.Hence, technical-level decision making requires: i) economics categories.They stated that different units of indicators also cause difficulties in prioritizing improvement actions.
As mentioned above, STARS uses a more comprehensive approach by covering five performance categories using 73 indicators.In the operations category, 11 indicators (22.7% of total weight) under five subcategories were related to WEC flows in HEIs, i.e., air and climate: two indicators, buildings: two indicators, energy: two indicators, waste: three indicators, and water: two indicators [9].Here, indicators under waste were considered to appreciate the ideas of 'waste-toenergy' and 'waste minimization' for SD.Aggregating all the indicators and categorizing the HEIs as Gold, Silver, and Bronze are very useful for overall sustainability ranking.Alba-Hidalgo et al. [52] made an interesting argument that the most efficient approach to practically implementing the policies towards sustainability is self-assessment while other approaches (participating in ranking systems) primarily enhance the competitiveness without confirming whether the improvement actions were actually planned to improve the sustainability at the university or global level or not.
Nevertheless, existing tools with their holistic approach cannot be directly used for sustainability evaluation of engineered systems in HEIs.Hence, technical-level decision making requires: i) Recently, Alghamdi et al. [50] stated: "Although there are many assessment tools and there has been a noticeable progress, this progress is not clearly measurable."Some of the systems require a large amount of data for analyses.For example, Tenley et al. [25] used the CSA framework for sustainability assessment with 175 indicators subgrouped into environmental, social, equity, and economics categories.They stated that different units of indicators also cause difficulties in prioritizing improvement actions.
As mentioned above, STARS uses a more comprehensive approach by covering five performance categories using 73 indicators.In the operations category, 11 indicators (22.7% of total weight) under five subcategories were related to WEC flows in HEIs, i.e., air and climate: two indicators, buildings: two indicators, energy: two indicators, waste: three indicators, and water: two indicators [9].Here, indicators under waste were considered to appreciate the ideas of 'waste-to-energy' and 'waste minimization' for SD.Aggregating all the indicators and categorizing the HEIs as Gold, Silver, and Bronze are very useful for overall sustainability ranking.
Alba-Hidalgo et al. [52] made an interesting argument that the most efficient approach to practically implementing the policies towards sustainability is self-assessment while other approaches (participating in ranking systems) primarily enhance the competitiveness without confirming whether the improvement actions were actually planned to improve the sustainability at the university or global level or not.
Nevertheless, existing tools with their holistic approach cannot be directly used for sustainability evaluation of engineered systems in HEIs.Hence, technical-level decision making requires: (i) evaluation of WEC flows for engineered systems at the university level for inter-university benchmarking (at regional or national levels) and the setting of future targets for continuous sustainability performance improvement and (ii) classification of HEIs' infrastructure systems, particularly building, based on type and size to evaluate their WEC flows for implementing improvement actions at an intra-university level.The present work addresses the first step toward the sustainability of engineered systems in HEIs.

Methodology
To pursue SD in HEIs, both the top-down and bottom-up management approaches have been reported in the literature.Lozano [53,54] emphasized the importance of leadership and vision from higher management to the lower hierarchical levels in achieving sustainability targets, e.g., emissions reductions.Others have argued that a bottom-up approach is necessary for raising awareness and addressing the behavioral aspects of resource consumption from the users upwards [23,40,53,[55][56][57].As experts establish the evaluation criteria of the top-down approach [58], it seems more rational for the technical-level sustainability assessment of HEIs.
The methodology adopted to assess the performance of the WEC flows in this research is shown in Figure 4. Data for WEC flows were obtained from selected universities, government reports, and the STARS database.Based on the available data for a given climatic region, a regression analysis was conducted to interpret the missing data for three unreported universities: Selkirk College (S3), Camosun College (S12), and Concordia University (L3).GHG emissions in HEIs is a function of different factors (utilities) including energy, water consumption, number of FTE students, and floor area, which are measured in different units, and need to be normalized.The utility of overall GHG emissions for all the HEIs was estimated as a function of these different utilities.Normalized sustainability scores for WEC flows using STARS data were also estimated for comparison with the study results.All the HEIs were ranked based on their sustainability performance.Details of the steps of the methodology presented in Figure 4 are described in the following subsections.

Size-Based Classification of HEIs
There is no universally accepted process to classify universities on the basis of the number of FTE students.For example, Wann et al. [59] classified universities as small, medium, and large with numbers of FTE students less than 6589, 6590-18,631, and greater than 18,631.Herremans and Allwright [60] carried out a survey of North American HEIs and classified them as small with FTEs less than 10,000, medium with FTEs ranging between 10,000 and 20,000, and large with FTEs greater than 20,000.The later classification seems more rational with FTEs in the thousands and is used in the present study whenever reference is made to the size of a university.
Evidently, large-sized HEIs consume more water and energy, and generate higher GHG emissions as compared with small-and medium-sized HEIs.However, they provide larger economies-of-scale than their smaller counterparts when it comes to GHG emissions/number of FTE students.For example, large-sized HEIs can adopt a wide variety of sustainable solutions and technologies that small campuses cannot afford, e.g., biofuel generation as an alternate energy source can generate a huge amount of waste.Small-sized HEIs face challenges such as the affordability of hiring skilled staff, whereas, it is relatively easier to make decisions and implement strategies in smaller organizations [61].
Camosun College (S12), and Concordia University (L3).GHG emissions in HEIs is a function of different factors (utilities) including energy, water consumption, number of FTE students, and floor area, which are measured in different units, and need to be normalized.The utility of overall GHG emissions for all the HEIs was estimated as a function of these different utilities.Normalized sustainability scores for WEC flows using STARS data were also estimated for comparison with the study results.All the HEIs were ranked based on their sustainability performance.Details of the steps of the methodology presented in Figure 4 are described in the following subsections.

Data Collection
The majority of the data for this study was collected from the STARS self-reporting database.Additional data was obtained from the sustainability reporting cards published by each university and the MOECC's report on the GHG emissions of large facilities in Canada, i.e., GHG scope 1 and 2 [62].The World Resource Institute/World Business Council for Sustainable Development (WRI/WBCSD) classified GHG emissions into three scope groups.Scope 1 represents direct emissions resulting from onsite or within an organization, e.g., boilers, combustion, and mobile source combustion.Scope 2 consists of indirect sources from outside an organization, e.g., purchased electricity.Scope 3 includes other indirect sources, e.g., employee and student commuting and business travel [35].
Table 2 shows a statistical summary of the data collected.The baseline data collected for this research include climate (temperature), heating degree day (HDD), cooling degree day (CDD), the number of FTE students, building area in m 2 , GHG emissions in tCO 2 e, energy in GJ, and water consumption in gallons (1 m 3 = 264.172US gallons).A thirty-year average was taken to assess the climate in o C. HDD and CDD indicate the cooling and heating requirements of a building.HDD is a measure of the number of degrees and days that the outside air temperature was lower than a specific base temperature that necessitated the operation of the heating system.If the temperature rose above a base temperature, the air conditioning system would start.Many of these parameters are widely used in energy performance assessment and have been extensively covered in the literature [63] in addition to factors like the behavioral aspects of consumption [64].
STARS, a self-reporting system, is a voluntary reporting system in which universities can correct a mistakenly incorrect input value.For example, the Sheridan Institute of Technology reported its mistakes related to GHG emission inventory parameters [65].There is no provision for penalizing institutions for reporting incorrect data, so some abnormalities in the data have been noticed.For instance, the Dalhousie University reported a value of 84.91 tCO 2 e for the indicator of GHG (i.e., OP1 in Appendix B) [66] that was found to be significantly lower than that of all universities, i.e., 39,162 tCO 2 e.On rechecking this value with the reported field in the university's sustainability report, it was found to be 93,907 tCO 2 e [67].

Regression Analysis for Missing Data
When collecting the data, it was observed that the units and scope of the reported data used the same parameter in different reports (i.e., GHG values from different reporting systems were to cover only scopes 1 and 2).For example, the HDD and CDD were not available for some HEIs that participated in the STARS ranking, such as S1, S7, and M6, and these values could not be accessed in local climate databases.To overcome this limitation, the averages of each HEI serving in a given province (climatic region) were used to determine the missing factors (e.g., the average of all HEIs in Ontario was used to find missing information on universities in Ontario).Similarly, other missing factors, e.g., water usage and GHG emissions, were interpolated through as regression analysis.
Chung et al. [64] applied multiple regression analysis to develop a relationship between energy usage intensity (EUI) and various explanatory factors for 30 commercial buildings in Hong Kong.Sun et al. [68] used regression analysis on 95 buildings to benchmark their energy performance.In the past, Birtles and Grigg [69] studied the energy efficiency of buildings and benchmarked them via regression modeling.
In this research, the following linear regression model was developed using the pooled data obtained during data collection to assess unreported or missing data: where MU is the metabolic usage for GHG (GU), a is the intercept, b 1 is the coefficient for average climate, b 2 is the coefficient of HDD, b 3 is the coefficient of CDD, b 4 is the coefficient of FTE, b 5 is the coefficient of floor area of buildings, and x 1 to x n are the corresponding values for each component of water use.Equation ( 1) is a function of climate, HDD, CDD, FTE, and building area.
The data summarized in Table 2 does not follow a normal distribution, and a lognormal distribution was applied to all explanatory and response variables.Seven regressions were calculated and the best fit for the models was selected for the GHG function of energy consumption.The reason for the lack of statistical significance of other variables was their high multicollinearity.Energy consumption is highly correlated to the area of buildings, the number of FTE students, HDD, CDD, and water consumption.The results shown in Table 3 represent the best fits of R-squared (R2) coefficients found, i.e., 82.87 % and an adjusted R2 of 82.24 %.Similarly, the variance inflation factor and probability were found to be in reasonable ranges.For the missing GHG values, a linear model was adjusted through curve fitting between the energy consumption and the amount of GHG emissions used per campus.The values of the two missing parameters were calculated using the curve fitting equation shown in Figure 5.For the two non-reported HEIs, i.e., GHG emissions based on the regression model were found to be 10,188.49

Normalization of Factors Affecting WEC Flows
The main assumption is that GHG emissions are a function of several factors, such as energy, water consumption, number of FTE students, and floor area, and these factors are considered as utilities in the following sections.The inputs are measured in different units, and are replaced with their utilities.Utility is defined as a parameter's energy usage, number of FTE students, floor area, and water consumption.For sustainable operations, these inputs need to be reduced to minimize GHG emissions.In this research, different universities were compared on the basis of the total GHG emitted from these input factors, while the total GHG emissions were assessed in terms of the total utility of a building.Thus, universities are labeled as  , where i = (1, …), and the total GHG emitted is denoted by  [] .The symbols used to define the utilities are derived from the Taylor series variables previously used by Faust and Baranzini [70] for studying the economic performance of 141 water utilities.Van Calker et al. [71] used utility functions to assess the economic, social, and ecological sustainability of dairy farms.
To obtain a rational functional relationship of GHG on such quantities, every quantity needs to be normalized for a rational comparison.The normalized GHG emitted by a university  as  [] can be defined as follows: If

Normalization of Factors Affecting WEC Flows
The main assumption is that GHG emissions are a function of several factors, such as energy, water consumption, number of FTE students, and floor area, and these factors are considered as utilities in the following sections.The inputs are measured in different units, and are replaced with their utilities.Utility is defined as a parameter's energy usage, number of FTE students, floor area, and water consumption.For sustainable operations, these inputs need to be reduced to minimize GHG emissions.In this research, different universities were compared on the basis of the total GHG emitted from these input factors, while the total GHG emissions were assessed in terms of the total utility of a building.Thus, universities are labeled as U i , where i = (1, . . .N), and the total GHG emitted is denoted by G[U] i .The symbols used to define the utilities are derived from the Taylor series variables previously used by Faust and Baranzini [70] for studying the economic performance of 141 water utilities.Van Calker et al. [71] used utility functions to assess the economic, social, and ecological sustainability of dairy farms.
To obtain a rational functional relationship of GHG on such quantities, every quantity needs to be normalized for a rational comparison.The normalized GHG emitted by a university U i as G[U] i can be defined as follows:

corresponds to the total area heated, and S[U]
the number of occupants in a building.These quantities depend on other factors such as climatic conditions, building envelope, and age of infrastructure.All these factors can be normalized to obtain a rational functional dependence of emitted GHG on these factors as follows: where, E[U] i is the normalized energy consumed, w[U] i is the normalized water consumption, A[U] i represents the normalized area heated, and the normalized number of people in the building can be defined as s[U] i .The overall GHG emissions can be considered a function of all these different quantities and can be calculated as follows: In an HEI, the total energy consumed during a year is a function of both the heating and cooling degree days corresponding to the winter and summer seasons.In energy calculations, consideration must be given to both seasons.In this regard, Q 1i needs to be estimated as the factor obtained from the heating degree day HDDi, and Q 2i as the factor obtained from the cooling degree days CDDi.These factors can be defined as follows:

CDDi
These factors are included to normalize the effect of temperature variations because heating and cooling can increase energy consumption in cold and hot climates.High-order corrections are neglected.Only the linear functional dependence of these quantities is considered as a first approximation as follows: Equation ( 6) can also be written as follows: C i is the coefficient used to measure the relative importance of energy when compared with the number of FTE students, floor area, and water usage.For example, water and energy cannot be compared because of the different units used in a single HEI.The comparison of the utility for each factor is more appropriate because all the quantities need to be converted into a consistent unit to incorporate different quantities into the benchmarking process.

Ranking of HEIs Based on WEC Flows
The coefficients C i with i = (1, . . .N) measure the relative utility of these quantities (i.e., WEC) as compared with normalized energy consumption.These quantities vary for different regions.For example, it is more difficult to obtain water in the Middle East (i.e., arid environment) compared with Canada, and energy is easy to generate in a region with extensive oil resources.A simple form of the model can be written as follows: and university U 1 is producing more GHG emissions for the same average utility as compared with U 2 .This may be attributed to the use of cleaner or less emission-intensive energy sources.As a lower value of Ci indicates better environmental performance of a university, the final sustainability rank (SR) is calculated as follows:

Results
Based on the relative utility coefficient 'Ci', 34 Canadian HEIs were benchmarked (ranked) using the methodology described above.As an example, the reported data of the UBC (Vancouver Campus) is presented in Table 4.The first step normalized all the values by the mean as shown in Equations ( 2) and ( 3).The normalized UBC values are listed in Table 4.The new utility (i.e., normalized energy) calculated with Equation (5) was 10.08.The total utility value calculated using Equations ( 6) and ( 7) was 22.35.The value of the coefficient calculated by using Equation (8) was 0.0607.Sustainability ranks were established for all the HEIs using Equation (9).The final sustainability ranks for the 34 HEIs are presented in Figure 6.The figure shows that the sustainability ranks for all the small-sized HEIs and 67% of the large-sized HEI were higher than the average.While 60% of the medium-sized HEIs underperformed with sustainability ranks lower than the average.
In Figure 6, the model data were normalized for simplicity with equal values across all the parameters for each HEI assuming they all had equal effects.The variability of the reported data may have an impact on the performance of an HEI.For example, the data was not collected in a cut-off year and the most recent reports were taken into consideration instead.Some of the latest reports published by HEIs were two to five years old.As per the average values of all the reporting HEIs shown in Figure 6, the ten lowest performing HEIs were L4, M3, L6, M4, M2, M7, L7, M5, L2, and M9.
The size-based classification of HEIs better justifies the relationship between the flow of energy and GHG.A strong correlation (i.e., R 2 = 0.94) between energy consumed and associated GHG emissions was observed for the small-and medium-sized HEIs in Figure 7.These results are contrary to the combined values of all HEIs, where the R2 value for all the HEIs regardless of size was 0.6442.The size-based classification of HEIs better justifies the relationship between the flow of energy and GHG.A strong correlation (i.e., R 2 = 0.94) between energy consumed and associated GHG emissions was observed for the small-and medium-sized HEIs in Figure 7.These results are contrary to the combined values of all HEIs, where the R2 value for all the HEIs regardless of size was 0.6442.The HEIs with relatively poor performance and their sources of fuels are presented in Table 5.The performance of HEIs in terms of energy conservation varied depending on the mode of energy conservation, efficiency of different processes, and use of GHG intensive fuels, e.g., coal and fossil fuel.For instance, the University of Regina (M3) produced 100% of its electricity from coal.The Nova Scotia Community College (M2) met 53% of its electricity requirements from coal, and the MacEwan University (M4) produced 40.6% of its electricity from coal.Other underperforming HEIs primarily relying on fossil fuels include the University of Calgary (L4), University of Alberta (L7), and University of Saskatchewan (M9).The latest energy report indicates that Alberta's electricity generation is 51% fueled from coal [72].However, precise information could not be obtained about these universities' inner-grid combinations (e.g., gas vs. electricity).The province of Saskatchewan generates approximately 34% of its electricity from coal [73].
The HEIs identified in Table 5 performed poorly because of inefficient energy usage in older buildings (e.g., in terms of building envelope and thermal characteristics).For example, the Nova Scotia Community College (M2) performed better than Dalhousie University (M7) despite both being in the same city and relying on the same electricity grid.The overall performance enhancement in the Nova Scotia Community College was the result of its improved energy efficiency or improved innergrid distributions (more reliance on renewable energy sources, e.g., hydro or wind).
The data for the 34 HEIs primarily obtained from the STARS database shown in Figures 8a-c presents the aggregated sustainability scores for WEC flows.The values were normalized by dividing the score of each institution in the WEC category by the total grade.Figure 8a illustrates that, regardless of size, the performance of all HEIs was similar in terms of GHG emissions while some of the large-sized HEIs clearly underperformed, i.e., L2, L3, L7, and L12.In the case of energy consumption, small-sized HEIs outperformed large-and medium-sized HEIs as shown in Figure 8b. Figure 8c shows that the water-consumption performance of medium-and large-sized HEIs was The HEIs with relatively poor performance and their sources of fuels are presented in Table 5.The performance of HEIs in terms of energy conservation varied depending on the mode of energy conservation, efficiency of different processes, and use of GHG intensive fuels, e.g., coal and fossil fuel.For instance, the University of Regina (M3) produced 100% of its electricity from coal.The Nova Scotia Community College (M2) met 53% of its electricity requirements from coal, and the MacEwan University (M4) produced 40.6% of its electricity from coal.Other underperforming HEIs primarily relying on fossil fuels include the University of Calgary (L4), University of Alberta (L7), and University of Saskatchewan (M9).The latest energy report indicates that Alberta's electricity generation is 51% fueled from coal [72].However, precise information could not be obtained about these universities' inner-grid combinations (e.g., gas vs. electricity).The province of Saskatchewan generates approximately 34% of its electricity from coal [73].
The HEIs identified in Table 5 performed poorly because of inefficient energy usage in older buildings (e.g., in terms of building envelope and thermal characteristics).For example, the Nova Scotia Community College (M2) performed better than Dalhousie University (M7) despite both being in the same city and relying on the same electricity grid.The overall performance enhancement in the Nova Scotia Community College was the result of its improved energy efficiency or improved inner-grid distributions (more reliance on renewable energy sources, e.g., hydro or wind).
The data for the 34 HEIs primarily obtained from the STARS database shown in Figure 8a-c presents the aggregated sustainability scores for WEC flows.The values were normalized by dividing the score of each institution in the WEC category by the total grade.Figure 8a illustrates that, regardless of size, the performance of all HEIs was similar in terms of GHG emissions while some of the large-sized HEIs clearly underperformed, i.e., L2, L3, L7, and L12.In the case of energy consumption, small-sized HEIs outperformed large-and medium-sized HEIs as shown in Figure 8b. Figure 8c shows that the water-consumption performance of medium-and large-sized HEIs was similar.The possible reasons for these results are outlined here.Small universities manage a smaller number of students, have smaller infrastructures, and relatively less-complex processes.The emissions of large-sized HEIs are normalized over a large number of students (i.e., tCO 2 /FTE) and may result in a higher sustainability ranking.Large universities accommodate more students per water consuming activity, such as laboratories, washrooms, and treatment plants, with larger economies-of-scale.GHG generation per square foot in large-sized HEIs is less than that of medium-and small-size HEIs.Energy consumption is directly related to the size of a building.Therefore, medium-sized HEIs are more critical because buildings are constructed for longer lifecycles.
Regression analysis was performed between the floor area of buildings in the HEIs and their corresponding water consumption, energy consumption, and GHG emissions.The analysis revealed that the 'power function' best fits the relationship between the variables with high R2 values.Empirical constants for all three relationships are presented in Table 6.The results presented in Table 6 show a strong correlation between the floor area of HEI buildings and WEC flows.Table 6.Empirical constants for power functions between floor area of HEI buildings and WEC flows.A comparison between the STARS ranking and the ranks established in the present study for all sizes of HEIs are presented in Figure 9.The figure shows that of the 10 worst-performing HEIs in Figure 6, the sustainability ranks of four HEIs (M3, M4, M7, and L4) were approximately equal or higher than the STARS ratings.These HEIs need to: (i) implement the SD declarations by embedding sustainability in the fabric of the organizational structure and by planning and setting realistic goals and (ii) use renewable fuel sources.The sustainability ranks presented in Figure 9 were calculated based on comparative assessment.Hence, a higher SR does not ensure that there is no need for further improvement.To attain long-term sustainability, HEIs should adopt a continuous performance improvement approach.

Discussion
HEIs have sought to implement rating systems for their buildings as an attempt to reduce energy consumption and subsequently reduce GHG emissions.Research has shown that many of these building rating systems could not achieve their desired goals [74,75].Tilton and ELAsmar [75] compared LEED certified buildings with non-certified buildings based on their functionality (e.g., dormitory, research buildings, and offices) and found that non-certified research buildings consumed less energy than their certified counterparts.According to the results presented in Figure 2, none of the Canadian HEIs attained Platinum rank from STARS (refer to Appendix B for details) and should adopt a continuous performance improvement approach for long-term sustainability.
Leadership in Energy and Environmental Design (LEED) certifies a green building by verifying that the design construction aimed at improving the sustainability performance, including energy and water efficiency, reduction of carbon emissions, etc. [76].Agdas et al. [74] studied the EUI of 10 LEED-certified buildings and compared them with non-LEED-certified buildings.It was found that the EUI of LEED-certified buildings was higher than that of the non-LEED-certified buildings.For example, they evaluated 24 campus buildings, 10 of which were LEED-certified and the remaining non-LEED-certified buildings.They could not find a statistically significant difference between both sets of the buildings, in fact, the EUI for the LEED buildings was found to be higher than those of non-certified buildings.Existing systems do not identify the causes of poor performance and the actions required to improve the sustainability performance of universities.This is due to the diverse nature of the parameters being measured (social, environmental, economic) [77].Moreover, communicating the sustainability assessment of HEIs goals and scope with the stakeholders is not clearly defined [29].There is a need for an integrated system that can lead HEIs toward continuous improvement in terms of sustainability while maintaining cost effectiveness and simplicity.There is also a need to shift the focus from corrective controls to proactive action [78].
Energy baseline targets (reported values for 2007) were self-imposed by universities in an attempt to conserve or reduce energy consumption.Figure 10 presents a comparison between the performance of HEIs and the baseline energy targets using STARS data.Approximately 58% of the large-sized universities succeeded in reducing their energy consumption below the baseline, while approximately 70% of medium-sized and 75% of small-sized HEIs performed better than the baseline value.The reasons for non-compliance can be unrealistic targeting, an increase in student enrollment, or the absence of any interventions.Overall, approximately 43% of Canadian HEIs fell behind their baseline values [9].This is aligned with the data reported from the UK, where educational institutions account for more than 5% of the non-domestic buildings and are responsible for approximately 14% of the entire public-sector emissions.Public-funded HEIs had an average EUI of 293 kWh/m 2 in FY 2001, which gradually decreased to 287 kWh/m 2 by the FY 2006.This EUI level is still substantially below the best practice benchmark of 162 kWh/m 2 [79].The GHG emissions followed similar patterns [80].
HEIs still rely heavily on local electricity providers, which requires that they strive for a net-zero stage.This requires an understanding of the inner components of buildings and how performance can be improved.Imposing taxes on HEIs' intensive fuel usage may result in a positive impact in terms of GHG reduction.To attain high sustainability standards, specific targets are required to be met.The assessment of the state of engineered systems in Canadian HEIs in Figure 10 requires more information for technical-level decision making, e.g., solar coefficient, split of energy used and purchased by sources, age of buildings to determine efficiency, and solar-power street lighting.
Similar to any other built infrastructure, a considerable amount of energy is required in all stages of water and wastewater operations, including water abstraction, water treatment, distribution, wastewater collection, wastewater treatment, and disposal and/or reuse [81].Energy use can be optimized using efficient water appliances, adopting water conservation strategies, and effective conservation practices.These strategies can be combined with renewable energy use including wastewater energy recovery and onsite solar and wind energy generation for achieving net-zero energy and carbon emissions [82].
account for more than 5% of the non-domestic buildings and are responsible for approximately 14% of the entire public-sector emissions.Public-funded HEIs had an average EUI of 293 kWh/m 2 in FY 2001, which gradually decreased to 287 kWh/m 2 by the FY 2006.This EUI level is still substantially below the best practice benchmark of 162 kWh/m 2 [79].The GHG emissions followed similar patterns [80].HEIs still rely heavily on local electricity providers, which requires that they strive for a net-zero stage.This requires an understanding of the inner components of buildings and how performance can be improved.Imposing taxes on HEIs' intensive fuel usage may result in a positive impact in terms of GHG reduction.To attain high sustainability standards, specific targets are required to be met.The assessment of the state of engineered systems in Canadian HEIs in Figure 10 requires more information for technical-level decision making, e.g., solar coefficient, split of energy used and purchased by sources, age of buildings to determine efficiency, and solar-power street lighting.
Similar to any other built infrastructure, a considerable amount of energy is required in all stages of water and wastewater operations, including water abstraction, water treatment, distribution, wastewater collection, wastewater treatment, and disposal and/or reuse [81].Energy use can be optimized using efficient water appliances, adopting water conservation strategies, and effective conservation practices.These strategies can be combined with renewable energy use including wastewater energy recovery and onsite solar and wind energy generation for achieving net-zero energy and carbon emissions [82].
HEIs require proper planning approaches to reduce both the short-term and long-term environmental impacts during their operations.Comprehensive data are needed for the effective assessment and prudent decision making for selecting rational interventions, i.e., day-to-day maintenance and major long-term improvements.These interventions have their own socioeconomic and environmental implications over the life of a building.An integrated technology-human effort is required for energy and water conservation, GHG emission reductions, and ecosystem protection in a cost-effective manner.
HEIs must address mounting issues owing to an increase in the number of FTE students and associated energy demand, costs associated to increasing fuel prices, aging of buildings and 0.00 0.50  HEIs require proper planning approaches to reduce both the short-term and long-term environmental impacts during their operations.Comprehensive data are needed for the effective assessment and prudent decision making for selecting rational interventions, i.e., day-to-day maintenance and major long-term improvements.These interventions have their own socioeconomic and environmental implications over the life of a building.An integrated technology-human effort is required for energy and water conservation, GHG emission reductions, and ecosystem protection in a cost-effective manner.

Energy in GJ
HEIs must address mounting issues owing to an increase in the number of FTE students and associated energy demand, costs associated to increasing fuel prices, aging of buildings and associated reductions in efficiency, uncertainties owing to emerging regulations aimed at curbing carbon emissions, and climate change and its impact on seasonal variations.These factors coupled with the limited available resources to improve these assets will have a significant impact on an institution's ability to forecast future trends, goals, and performance.Therefore, HEIs need to consistently address these changing factors and their impact to attain their sustainability goals.
In 2010, Universitas Indonesia (UI) developed a platform, known as the UI Green Metric World University Ranking [83], for sharing the state of sustainability in HEIs around the globe.The approach of this ranking system consists of six categories, including: (i) setting and infrastructure, (ii) energy and climate change, (iii) waste management, (iv) water usage, (v) transportation, and (vi) environmental education.In addition to improving the overall environmental conditions and promoting sustainability in HEIs, these green campus activities can improve the perception of stakeholders about HEIs and can increase student enrolment.
Continuous performance improvement (CPI) is a top-down management approach intended to manage the quality performance of processes and systems by continuously improving the performance of an organization [84].CPI aims at reducing wastes, increasing competitiveness, and improving overall performance [85].The conceptual CPI benchmarking process presented in Figure 11 can be implemented for both inter-and intra-university sustainability assessments.Details of the CPI application in benchmarking processes are provided in Bereskie et al. [86].
A benchmark can be established using a representative sample of similar-sized universities having comparable characteristics, e.g., number of students, and types and age of buildings.The benchmark can be applicable to a specific region to accommodate temporal and geographical factors, such as seasonal and climatic variations and differences in provincial/state regulations.For CPI, future benchmarks can also be established based on improving WEC flow projections from interventions, changing regulations, technological advances, and students' expectations.The goal of the CPI process is not only to improve upon the original benchmark for a factor or group of factors but also to cluster individual HEIs (or buildings in case of inter-university application) closer to the benchmark value.
The resent research provides an insight into the existing state of sustainability in Canadian HEIs.Establishing SRs based on WEC flows will be useful for technical-level decision making.Instead of relying on existing rating systems that cover a wider spectrum of sustainability, technical-level decisions can practically improve the existing global and regional GHG scenarios and be a step toward water and energy conservation.
future benchmarks can also be established based on improving WEC flow projections from interventions, changing regulations, technological advances, and students' expectations.The goal of the CPI process is not only to improve upon the original benchmark for a factor or group of factors but also to cluster individual HEIs (or buildings in case of inter-university application) closer to the benchmark value.
The resent research provides an insight into the existing state of sustainability in Canadian HEIs.Establishing SRs based on WEC flows will be useful for technical-level decision making.Instead of relying on existing rating systems that cover a wider spectrum of sustainability, technical-level decisions can practically improve the existing global and regional GHG scenarios and be a step toward water and energy conservation.[86]).

Conclusions
In Canada, HEIs consume 60% of the total energy allocated to the educational sector, which is equivalent to approximately 430,000 households.Accordingly, such institutions have been recognized as one of the major contributors to Canada's total GHG emissions.A review of the historical background of declarations revealed that the sustainability of engineered systems (infrastructures) in HEIs was highlighted over the last decade.
Engineered systems in HEIs have been constructed in different eras as a result of increasing enrolments and the establishment of new disciplines.Consequently, they have varying process efficiency, features, and environmental impacts.Existing sustainability ranking systems include a wide range of sustainability indicators and do not measure actual performance in terms of natural-resource consumption and generation of GHG emissions.Technical-level decision makers need to know how the infrastructures, particularly buildings, and processes are utilizing these resources.This can be accomplished by comparing the HEIs based on their energy utilization, water consumption, and production of associated GHG emissions.Instead of relying on existing global sustainability performance, decision makers can select and practically implement actions for long-term sustainability of HEIs, e.g., development of resource conservation strategies and building retrofits.
The inter-university benchmarking methodology developed in this research for sustainability assessment of Canadian HEIs was based on their WEC flows.The methodology incorporates the impact of economies-of-scale by taking the sizes of the HEIs into account for the rational benchmarking of 34 HEIs.
The proposed methodology addresses the difficulties encountered during benchmarking owing to the use of different HEI reporting systems.A regression analysis was used to interpret the missing data for a given climatic region.The GHG emissions of HEIs is a function of different factors (utilities), including energy, water consumption, number of FTE students, and floor area.These factors are measured in different units and were normalized in this research.It is recommended that all universities follow uniform parameters for a rational comparison in the future.
Regression analysis established power function, with strong correlations (i.e., R2 values higher than 0.8), between the floor area of buildings in the HEIs and their corresponding water consumption, energy consumption, and GHG emissions.
Canadian HEIs are ranked based on the sustainability performance of their engineered systems while considering the differences in climatic regions, size of campus, number of occupants, and WEC flows.The study results revealed that small-sized HEIs outperformed the large-sized HEIs, whereas, the performance of 60% of the medium-sized HEIs was found to be less than the average.The reasons for such results could be: (i) small HEIs deal with a smaller number of students, smaller infrastructure, and relatively less-complex physical processes, (ii) emissions in large-sized HEIs are normalized over a large number of students (i.e., tCO 2 e/FTE), (iii) larger economies-of-scale, i.e., each water consuming facility serves a large number of students in large-sized HEIs, (iv) EUI is less in large-sized HEIs, and (v) energy consumption is directly related to the size of a building, and medium-sized HEIs serving a smaller number of students construct buildings for longer periods of use.
The study results suggest the need for more in-depth investigations to improve the sustainability of different infrastructures' operations through effective operational-level decision making (e.g., efficient retrofits, particularly for older institutions) for all sizes of HEIs.It is expected that future research will focus on the assessment of detailed environmental impacts during the entire life of HEIs, including all construction and operations phases.
Presidents' Climate Commitment (AUPCC) agreement, which requires participating institutions to reduce GHG emissions [36].The weights of these subcategories and indicators were assigned based on the recommendations of a panel consisting of members of the STARS's steering committee and staff of the Association for the Advancement of Sustainability in Higher Education (AASHE).The performance points were measured on the overall impact of reporting fields.Owing to the diverse nature of HEIs, STARS insists that

Figure 1 .
Figure 1.Primary energy usage in buildings.

Figure 2 .
Figure 2. Summary of the sustainability tracking assessment and rating system (STARS) size-based evaluation: a) distribution of reporting universities, b) performance of large-sized universities, c) performance of smalland medium-sized universities.

Figure 2 .
Figure 2. Summary of the sustainability tracking assessment and rating system (STARS) size-based evaluation: (a) distribution of reporting universities, (b) performance of large-sized universities, (c) performance of small-and medium-sized universities.

Figure 2 .
Figure 2. Summary of the sustainability tracking assessment and rating system (STARS) size-based evaluation: a) distribution of reporting universities, b) performance of large-sized universities, c) performance of smalland medium-sized universities.

Figure 4 .
Figure 4. Methodology for inter-university sustainability benchmarking based on WEC flows.

Figure 4 .
Figure 4. Methodology for inter-university sustainability benchmarking based on WEC flows.

Figure 5 .
Figure 5. Statistical analysis results for GHG and energy consumption in Canadian HEIs: (a) normal residual probability plot, b) residual versus fitted value, c) histogram, and d) residual versus observation order.

Figure 5 .
Figure 5. Statistical analysis results for GHG and energy consumption in Canadian HEIs: (a) normal residual probability plot, (b) residual versus fitted value, (c) histogram, and (d) residual versus observation order.

Figure 6 .
Figure 6.Sustainability ranking of all HEIs in Canada.

Figure 7 .
Figure 7. Relationship between energy consumed and GHG emissions for small-and medium-sized HEIs in Canada.

Figure 7 .
Figure 7. Relationship between energy consumed and GHG emissions for small-and medium-sized HEIs in Canada.

Sustainability 2019 , 27 Figure 8 .
Figure 8. STARS ranking of Canadian universities by size: a) GHG emissions performance, b) energy performance, and c) water performance.

Figure 9 .Figure 8 . 27 Figure 8 .
Figure 9.Comparison between STARS overall ranking and SRs based on WEC flows estimated in present study.

Figure 9 . 9 .
Figure 9.Comparison between STARS overall ranking and SRs based on WEC flows estimated in present study.

Figure 10 .
Figure 10.Energy baseline targets and performance of Canadian HEIs based on STARS reporting data.

Figure 10 .
Figure 10.Energy baseline targets and performance of Canadian HEIs based on STARS reporting data.
Figure 1.Primary energy usage in buildings.

Table 2 .
Summary statistics of data collected.
tCO 2 e for Lakehead University and 22,081.03tCO 2 e for University of Regina.

Table 4 .
Data and results of University of British Columbia (UBC, Vancouver).Sustainability ranking of all HEIs in Canada.

Table 5 .
Ten worst-performing HEIs and their fuel sources.