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Article

How Sustainability Is Defined: An Analysis of 100 Theoretical Approximations

by
Arturo Luque González
1,2,*,
Jesús Ángel Coronado Martín
3,
Ana Cecilia Vaca-Tapia
4 and
Francklin Rivas
5
1
Facultad de Ciencias Humanísticas y Sociales, Universidad Técnica de Manabí, Ave. José María Urbina and Che Guevara, Portoviejo 130105, Ecuador
2
Escuela de Administración-Grupo de Investigación en Dirección y Gerencia, Universidad del Rosario, Calle 12C, 6-25, Bogotá 111711, Colombia
3
Facultad de Educación, Ciencia y Tecnología, Universidad Técnica del Norte, Av. 17 de julio 5-21 y Gral, José María Cordova, Ibarra 100105, Ecuador
4
Facultad de Derecho y Ciencias Sociales, Universidad UTE, Rumipamba y Bourgeois, Quito 170147, Ecuador
5
Departamento de Informática, Universidad Técnica Federico Santa María, Av. España 1680, Valparaíso 2340000, Chile
*
Author to whom correspondence should be addressed.
Mathematics 2021, 9(11), 1308; https://doi.org/10.3390/math9111308
Submission received: 1 April 2021 / Revised: 1 June 2021 / Accepted: 3 June 2021 / Published: 7 June 2021

Abstract

:
Sustainability processes are imperfect, hence there is a need to analyze their construction, evolution and deployment. To this end, a sample of one hundred sustainability constructs was taken, together with their conceptual approaches, in order to gauge their impact and to ascertain the dimensions to which they belong. A frequency count and categorization were carried out using Google, which saturated in seven dimensions: economic, social, environmental, legal, political, ethical and cultural. A higher-order association of these hierarchies was then proposed, establishing a triad model that indicated only the most representative combinations of dimensions resulting from the extraction of the most significant definitions. From these definitions and in accordance with their frequency of use in Google, it is inferred that the current concept of sustainability is based on the economic-social-ethical category. This highlights the distance between what, a priori, seems to implicitly allow any definition of sustainability and the existing reality.

1. Introduction

This study takes a theoretical and problem-solving approach to the processes of sustainability from an empirical, axiological and propositional point of view through an analysis of the definitions of sustainability. To this end, the conceptual deployment and derived impact of these definitions was studied, including the inherent contradictions and connections arising from their theoretical construction (see Appendix A). Although the exact terminology varies from region to region [1], sustainability has the same underlying significance in all ambits. Today, ecological and social concerns are becoming increasingly important as everyday practices are increasingly regarded as unsustainable [2,3,4,5], leading to the emphasis on sustainability as the most effective alternative to the dominant developmental model. This model has been especially questioned and criticized for its role in the global ecological crisis and in the increase in global social inequalities. Common welfare must be achieved in a fair and lasting way through a model of use and management of the environment that recognizes that natural resources are limited and finite [6].
The concept of sustainability can be divided into two parts: regulatory sustainability and positive sustainability. The first consists of the agreements and proposals that were the result of the conceptual framework for sustainable development developed by the United Nations (UN), and the second refers to the scientific analysis of sustainability and sustainable development with an economic and ecological bias [7].
In 1987, the World Commission on Environment and Development (WCED) made public the Brundtland report, better known as “Our Common Future”, which specifies that “Humanity has the ability to make development sustainable to ensure that it meets the needs of the present without compromising the ability of future generations to meet their own needs” (p. 23) [8]. From this moment on, the UN made sustainability the principle that governs global development, while, at the same time, academic debate was opened up to a review of the definitions of sustainability by authors, such as Pezzey or Pearce [1].
The concept of sustainability is very broad and varied, depending on the approach used by authors. In a report to the Economic Commission for Latin America (ECLAC) [9], Gallopín characterizes sustainability as an attribute of systems open to interactions with their external world that lack a fixed state of constancy, tending rather toward a dynamic preservation of the essential identity of the system amid continual changes. Salas-Zapata, Ríos-Osorio and Del Castillo [10] describe sustainability as a science by defining it as “the scientific activity that develops around the study of the ability of certain systems to adaptively adjust their socio-ecological relationships to overcome disturbances and maintain some essential attributes and processes”. Moreover, the science of sustainability “involves a way of conducting science in a participatory and transdisciplinary way, accepting the uncertainty inherent in real-world phenomena and, consequently, it is more exploratory and comprehensive than predictive in character” (p. 110).
Sustainability can be defined within the limits of the two typologies of weak and strong sustainability [1,7,11]. The first assumes that natural capital and economic capital are fully interchangeable substitutes over a period of time, and the second is based on the economic principle that it is impossible to replace natural resources that pertain to complex natural systems and that, from an economic perspective, are not considered part of the equation. Certainly, in the constitutions of almost all Latin American countries, the development and deployment of sustainability continues to grow despite continuous and systematic environmental degradation and the expulsion and annihilation of cultures [12].
To date, the concept of sustainability remains ambiguous and appears scattered and blurred in the literature [9]. Many of the definitions of sustainability are somewhat abstract and others are decidedly utopian and unquantifiable, hence the objective of this work, which is to analyze these definitions taking into account their cross-disciplinary and dynamic character. From the thorough analysis of academic texts produced by researchers and experts in sustainability processes, 100 theoretical approximations were identified, as set out in Appendix A. Subsequently, a frequency count was carried out using Google, together with a double categorization, in order to discover which dimensions (from the 7 identified) predominate in sustainability processes [13]. From this, a theoretical concept of sustainability was constructed that is a reliable reflection of the current situation, contextualized within the analysis framework used and its intrinsic weaknesses. The Google search was instrumental in ascertaining the real impact of each definition, and it allowed this complex phenomenon to be broken down for analysis. Finally, the necessary factors that contribute to generating sustainability processes were analyzed, together with their institutionalization and regulatory construction. The outcome of the study clarifies whether sustainability processes, by introducing implicit aspects of equality, governance and responsibility, are fully developed in their definitions, or whether the exclusion of certain necessary elements makes them a contradiction of what they claim to be.

2. Theoretical Framework

The National Environmental Policy Act [14] committed the United States to sustainability, declaring it a national policy “to create and maintain conditions under which humans and nature can exist in productive harmony, that permit fulfilling the social, economic and other requirements of present and future generations”. While it is true that, at the global level, production and pollution have continued at an unprecedented rate and the instances of ecosocial aggressions are unabated, there is no doubt that this statement of intent was a major step toward addressing many of the global problems that are endogenously created by a model of living based on vanity and continuous consumption. Through this sometimes-involuntary way of life, a large part of the global population is excluded, making them mere subordinates of the developed countries. Sustainability processes are an effective solution to the constant aggressions perpetrated by enterprises, other organizations and individuals on Earth; for example, according to United Nations [15], “today, food losses globally are estimated at 13.8%, equivalent to about $ 400 million.” It should be remembered that populations are ecodependent and interdependent and that it follows inexorably that work must be done to achieve zero loss of waste products and, at the exogenous level, allow readjustment through local, national and supranational public policies. For this to happen, lifestyles must be altered in order to minimize (See www.zerowastehome.com and www.trashisfortossers.com, accessed on 1 April 2021) the amount of waste generated and to contribute to the sustainability and conservation of the environment. This requires the development and implementation of the three key concepts of reducing, reusing and recycling [16]. Among the clear possibilities for achieving this are the inclusion of the water footprint (Water use indicator that takes into account both direct and indirect use by a consumer or producer) and environmental footprint (Biophysical sustainability indicator integrating all of the impacts that a human community has on its environment) in any development initiative, thereby bringing to bear fiscal pressure, as well as marshalling public policies; in other words, the greater the corporate and citizen responsibility, the greater the benefits for all. For example, proposals put forward by Indigenous peoples within the Plurinational State of Bolivia are currently gaining strength. The Plurinational Legislative Assembly defines integral development as the continuous process of generating and implementing social, community and citizen measures and actions, and public overseeing, for the creation, provision and strengthening of material, social and spiritual conditions, capacities and media, within the framework of culturally suitable and appropriate practices and actions, which promote relations of solidarity, support and mutual cooperation, and which are complementary and strengthen community and collective ties to achieve Welfare in harmony with Mother Earth [17].
Consumerism has implicitly achieved part of its objectives, that is, to associate the creation of goods and services with the concept of modernity. This movement—despite being a category that refers to the social and historical processes that have their origins in Europe and have been emerging since the Renaissance—has been democratized and trivialized. Today it is becoming more ephemeral and personalized than ever, despite its devastating ecosocial consequences, by proposing that individuals set their goals at will, while the prevailing economic system deploys its influence by characterizing its products and services as both attainable and necessary [18]. Moreover, not all processes are sustainable, nor can many ever become sustainable: the electrification of the economy, for example, does not per se imply sustainability [19,20].

3. Analysis and Discussion

3.1. Delimitation of the Dimensions of Sustainability Processes

The selection and classification of the specified dimensions were designed to reflect the depth, deployment and interconnections observed in the object of study as well as the endogenous characteristics of the concept itself. There are multiple typologies within sustainability processes due to the emergence of new ways of living and producing, as well as the rights associated with these (as claimed by a large part of the public), which are becoming something similar to a social function. The most important consideration was the grouping of related concepts into the seven dimensions: economic, legal, political, social, cultural, ethical and environmental, as set out in Table 1 [13,21,22]. Below is an explanation of the conceptualization of each of these dimensions.
The economic dimension, despite including a broad social component, suffers from dysfunctions, such as high levels of public and private debt; risks, such as inequality, whereby growth does not often reach the people who need it most; and the deployment and standardization of processes of financial speculation. These risks should be minimized in order to achieve a dignified, fulfilling and harmonious life. There are dangers such as (1) increased trade disputes, (2) stress in financial markets, (3) rising geopolitical tensions, (4) market volatility (in many cases due to financial speculation) and (5) monetary policy adjustment. Hence, there is a need to be aware of changes in the methods of production and their relationship with the environment at all levels by establishing new parameters for production as well as by providing support for public administrations. The social economy attempts to correct many of these dysfunctions, drawing strength from values such as mutual aid, responsibility, democratic values, processes of equality, equity and solidarity, all of which can be supported by binding legal elements [23]. According to Rostow [24] what the economy demands, the law must provide, and the work of the economist is becoming exclusively political through the means provided by legislation, hence the need to establish instruments of verification in order to be able to analyze and redress the harm caused by certain measures that, while legal, may be immoral [25]. According to Leguizamón it will be the responsibility of economic law, because of its great resources and its enormous regulatory power that transcends all fields of social activities, to play a role of the greatest importance in obtaining the objectives of its fundamental principles, which are in perfect interaction with the development of environmental policies (p. 339) [26].
The legal dimension pivots around its relation to the development and deployment of regulations that, in line with the existing historical, social and political circumstances, is legally valid for a given population and thus guarantees the general interest. It is based on the formation of public policies that have the capacity to generate, endogenously, greater ethical, social and responsible practices and behaviors. The establishment of sustainability can be interfered with by such processes as liberalization, deregulation, regulatory hybridization, the formation of lobbies, economic and fiscal reforms, free trade and investment treaties, private arbitration courts and processes that exert legislative pressure [27].
Thirdly, the political dimension consists in the response of civil society and its organization through trade unions, associations, communities, neighborhoods and political parties, among others. One of the tools available to society is civil disobedience as a democratic instrument and, indeed, violence, which must be deconstructed to be analyzed as a response to conditions of despair and constant asymmetries, such as the production of pollution and political and social regulation that favors the minority that holds power and controls capital.
The social dimension is concerned with the cohesion and stability of the population. It relates to the impact of an organization’s activities on the social systems in which it operates, including decent employment, human rights, health and social security, public services, population displacement, education and the formation of society based on criteria of public welfare. This also extends to the acceptance of responsibility for the goods and services offered that affect society as a whole, in particular those aspects that determine and characterize the quality of life of local populations at the national level, or through supranational interventions in which the state has the responsibility and capacity to improve the conditions of different social groups [28].
The cultural dimension comprises the need to take an integrated view of development, in which culture is recognized as the multidisciplinary and dynamizing axis of social participation. It accommodates all of the distinctive features that characterize a society or a given social group, including traditions and spiritual, material, intellectual and affective aspects. It also encompasses the arts and literature, ways of life, fundamental human rights, and systems of values and beliefs that have many interrelated meanings [29]. Expressions of the cultural dimension are grouped implicitly and distinguished from others by their reference to humanity.
The ethical dimension includes the fundamental question of how we should we live. Consequently, there is a clear need to direct societies toward rational growth within the natural boundaries set by the Earth. The continuous and systematic deterioration of the environment, the loss of biodiversity, soil degradation and the pollution of surface and groundwater resources represent the continual harm done to all types of ecosystems in favor of the maximization of capital. This has inevitably triggered problems, such as negative climate change, that are often beyond redress and repair.
The environmental dimension highlights the lack of harmonious development between growth and its relationship with the environment since the current developmental model, based in its entirety on the infinite expansion of goods and services, is in conflict with the finite limits of the Earth [30]. It should be noted that the planet is facing a triple environmental emergency of climate change, pollution and loss of biodiversity, hence the need to incorporate the concept of climate neutrality as a strategy in all coordinated actions between stakeholders. It is necessary to incorporate verifiable mechanisms for addressing environmental issues and to provide sufficient resources and tools for their effective deployment. Mechanisms include elements designed to redress, sanction and prevent regulatory abuses, such as those free trade agreements that prioritize the economic over the environmental interest and thereby maintain the existing hegemonic logic that economic growth is facilitated by the abuse of the external physical, chemical and biological components with which living beings interact [31]. The risks to which the Earth is exposed are manifest since the global community has failed to meet its commitments to limit environmental damage by reducing greenhouse gas emissions or putting in place carbon offsets. It is necessary to replace the existing extractivist and anthropocentric vision by promoting the establishment of shared interests that protect all forms of life over private interests dominated by capital. The commodification of nature must be called into question and much of its operating rules redrafted, having been imposed by a global society interconnected directly with the spending capacity of each individual. This phenomenon has been hitherto supported by (un)sustainable companies, governments and supranational organizations. Socioenvironmental tools must be established to break the dynamics of concentration and exclusion based on a clear understanding that the material basis of all human activity is found in nature and the assumption that ecosystems and natural resources have certain limits. Due to their inherent sustainability, environmental issues inexorably have an impact on the work of safeguarding life; therefore, the environmental dimension must be incorporated as a vehicle for development that promotes the future of the entire world population and its quality of life.

3.2. Compilation of Definitions of Sustainability

Sustainability processes have been widely studied and are not limited to one type nor are they linear in nature. Hence, there is a need to begin the experimental procedure with the search for concepts, academic constructs and related elements with the aim of being able to analyze their implications, connections to other fields and constitutive components. This search was based on the academic literature (i.e., research) but also included primary information derived from companies and other organizations, nonacademic experts and other institutional sources. From this starting point, Google Scholar was used to perform Boolean searches of keywords or phrases, such as those in Table 1, which form the basis of the mathematical sets and the logic needed for database searches. Basic operators such as AND, OR and NOT connect the words entered into the search engine to narrow or extend results.
The pre-established definition of the search chains, concomitant to the literature review, saturated in seven categories of sustainability. The process was carried out between 16 November 2020 and 11 February 2021 and resulted in the compilation of 100 units of analysis (UA) (Appendix A), a sample that, according to similar studies, is of sufficient size for a qualitative study (The number of times a particular citation is published is conditioned by the period in which that frequency of occurrence is measured. We assumed that the absolute frequencies thus obtained can only grow or remain stationary temporarily while others increase, resulting in a decrease in the relative frequency. The validity of the analysis is subject to the period in which it is determined to measure how much a certain construct is represented, if at all. Far from being an impediment, we think that interest in the dynamics of sustainability processes lies precisely in this point) [13]. After the Google frequency count of the number of times each of the 100 definitions was cited or referenced, they were assigned dimensions according to the pre-established system of encoding, and the corresponding absolute frequencies, f i , were obtained as shown in Appendix A. This stage involved several outline conditions for UAs, namely (1) that at least one academic reference be required, (2) that it not be duplicated in different databases and (3) that it may appear in one or more categories, up to a maximum of seven.

3.3. The Study of Dimensions

Once the qualitative approach of this research had been developed, the next step was to explore the scope of each category, as well as its contribution to sustainability processes. The 100 UAs were assigned dimensions within one or more categories, up to a maximum of seven, and the number of times that concept of sustainability had been used in a given time period of approximately 4 months was counted ( f i ). In addition, the existence of the seven dimensions unfolds the absolute frequencies in the corresponding f k j , or, to express it another way, the f i of a unit of analysis k, associated with a category j. Thus, it was possible to obtain the relative weighting of each j dimension according to Equations (1) and (2), respectively, (j = 1, …, 7):
C D j = k = 1 y f k j
where C D j is the scope of each j dimension, and f k j is the frequency of occurrence in Google of each unit of analysis k associated with a j dimension.
%   P D j = C D j i = 1 x f i 100
where P D j is the relative weighting of each j dimension, expressed as a percentage (%), and f i is the absolute frequency of occurrence in Google of each UA or bibliographic reference k in a given period of time.
The values obtained from Equations (1) and (2) are given in Table 2. The rating of the social dimension C D 3 corresponds to the sum of all f k j up to the total of y concepts categorized within it. Its contribution to the study is calculated as the relationship between this value and the summation of all absolute frequencies ( %   P D j ). It follows that the ethical dimension contributes most to sustainability processes, with a factor of 0.69, while the legal and cultural categories are the least representative with a factor of 0.06 and 0.09, respectively.
It should be noted that the rating obtained for each dimension and its relative weighting are directly proportionate, and it should be specified that each C D j is determined by the use of a citation k by a user, presuming that its use depends on the independent variable of time (set for the seven categories). The contrast is striking between the ethical dimension, found in 80% of definitions, and the legal dimension, which accounts for around one-eleventh of the total. This was a result of using two large sets of variables— C D j and dimensions—and the fact that, to facilitate the study, the established dimensions were kept constant. However, the rating assigned to each of them might vary, even in those from the same author (Dispersion in the category allocation process was resolved by an iterative technique until the degree of disagreement was below 15% (three steps)). To minimize the impact of qualitative research on data processing, categorization consisted of a three-stage iterative process that included the concept but not the author(s). Given the large volume of definitions used here, this procedure ensured accuracy in the C D j more reliably than that which would have assigned, in a single stage, a high value to each C D j (thereby jointly increasing relative weightings), as other authors in the past have done for CS(i)R processes [13]. It should also be mentioned that the 100 concepts were categorized with a minimum of one and a maximum of seven dimensions (Table 3).

3.4. Triad Model and Combination of Dimensions

By exploring Appendix A, it may be observed that the sustainability concepts studied constitute anything from one to several categories with an associated f k j ; the volume of information generated is compiled in Table 3. Here, the number of dimensions included in a given definition, the number of definitions that belong to it and the weighting fraction of the count performed in Google may all be inferred. Table 3 shows that, on average, just over 70% of the sustainability concepts studied in this article have been cited, using only dyads and triads, with triads having greater weighting in the Google count.
Table 4 shows the different types of triads identified in the search for each set of definitions (through a combination of dimensions resulting in 100 UAs), as well as their weighting fraction from 37.4% of the Google count. The results show that the association by triads of 34 units of analysis is that which carries the greatest weighting. Thus, a model of triads is defined consisting of the breakdown, with respect to the initial sample, of the 34 UAs catalogued for the corresponding study of their individual contributions (% weighting fraction) as a triad of sustainability dynamics (Table 4).
The data obtained from Table 4 suggest that sustainability processes are vectorized by a political, social and ethical category, while the dimensions that are weakly defined are the economic (for example, triads 6 and 13, with 0.6% and 1%) and the cultural (for example, triads 13 and 32 and 33, with 0.1%, 0.2% and 0.5%), while the legal category does not figure at all.
If we apply combinatorial analysis, the grouping of seven elements by threes provides 35 possible triads, such as those shown in Table 5. Of these, only nine have been shown in the study, excluding the remaining 26. This information was collected by taking the individual contribution of each dimension or %   P D j and taking the algebraic sum of the triad to obtain its relative importance, in decreasing order (Table 5).
At the top of the table, labelled “appearing”, the data are essentially the same as those already obtained in Table 4 and do not provide additional information, except by the order of their relevance score. The interval of relative importance 21, 8, 31, 28, 4, 29, 18, 35, 25, 10, 2, 26 and 16 may be defined in which those triads not featuring in the categorization had an equal probability of having done so.
The objective is to try to demonstrate whether, in the existing sustainability processes contemplated by experts, there are one or more dimensions in addition to the established triad 11. To achieve this, the entire contribution of the economic, legal and successive dimensions was summed, as shown in Table 6. This shows the most representative dimensions in both sections since, within the “not appearing” group, they represent a mirrored value or reflection of their greater contribution to sustainability; in addition, within this range, the legal category appears as a “lost” dimension within the current processes of sustainability. Table 6 also shows that the cultural category vectorizes sustainability processes only residually.
This leads to two complementary positions: on the one hand, to the induction of the current concept of sustainability as that resulting from the two most commonly used approaches within the political-social-ethical dimension and to complement it with the definition of greatest weighting, as shown in Table 7.

4. Conclusions

It is clear from the study that the dimensions that currently contribute most to the dynamics of sustainability processes are the political, social and ethical. Indeed, each of these dimensions makes a significant individual contribution (Table 2), and jointly their weighting fraction is 44.6% (Table 4). According to the distribution set out in Table 3, three of the original seven categories are sufficient to establish the definition of sustainability due to their large number of UAs and weighting in the Google count.
The qualitative study carried out in this work makes it possible to conclude that the trend of current sustainability processes is to move toward environmental contributions—albeit in the very long term due to existing weighting differences—while the legal and cultural dimensions are excluded, being implicitly residual in character.
Sustainability describes a phenomenon imbued with political interests, despite the lack of public policies that ensure its deployment and normal development, which should rather emphasize strong social commitment and defense of the principles that guide human behavior. In other words, instead of being a common and widespread commitment, it is evident that sustainability processes are used as subordinate elements of economic growth and are complicit in substantial environmental degradation. This is shown by the fact that, contrary to the a priori societal expectation, the environmental dimension is not included among the most important definitions, thereby conditioning the implementation, deployment and environmental protections offered by sustainability processes. It should be noted that if sustainability processes are not managed in a responsible manner, there is a danger of generating new adverse environmental and social impacts that may arise from the interrelationships between all dimensions that are not reflected in the concepts currently used and analyzed by experts.
At some point, the question will have to be asked how we, as active citizens, might address, critically and consciously, the social, economic and political order that determines our societies and our lifestyles.

Author Contributions

Conceptualization, A.L.G., J.Á.C.M., A.C.V.-T. and F.R.; methodology, A.L.G., J.Á.C.M., A.C.V.-T. and F.R.; software, A.L.G., J.Á.C.M., A.C.V.-T. and F.R.; validation, A.L.G., J.Á.C.M., A.C.V.-T. and F.R.; formal analysis, A.L.G., J.Á.C.M., A.C.V.-T. and F.R.; investigation, A.L.G., J.Á.C.M., A.C.V.-T. and F.R.; resources, A.L.G.; data curation, A.L.G. and J.Á.C.M.; writing—original draft preparation, A.L.G., J.Á.C.M., A.C.V.-T. and F.R.; writing—review and editing, A.L.G., J.Á.C.M., A.C.V.-T. and F.R.; visualization, A.L.G., J.Á.C.M., A.C.V.-T. and F.R.; supervision, A.L.G.; project administration, A.L.G.; funding acquisition, A.L.G. and J.Á.C.M. All authors have read and agreed to the published version of the manuscript.

Funding

Research project UTM 2021-23-45.

Institutional Review Board Statement

Not applicable.

Informed Consent Statement

Not applicable.

Data Availability Statement

Not applicable.

Conflicts of Interest

The authors declare no conflict of interest.

Appendix A

The table set out below shows the source of the definitions of the processes of sustainability, the concepts related to each author and the dimension to which each belongs.
Table A1. Categorization of the concepts of sustainability.
Table A1. Categorization of the concepts of sustainability.
SourceConceptFrequencyDimension
Acosta, Lovato and Buñay (2018) [32]Process improvement and optimization of resources that influence cost reduction7Economic
Agyeman (2005) [33]The need to ensure a better quality of life for all, now and in the future, in a fair and equitable way, while living within the limits of ecosystem capacity774Economic
Political
Social
Environmental
Ethical
Allende, (1995) [34]Reflecting a policy and strategy of continuous economic and social development that is not detrimental to the environment or natural resources on whose quality the continuity of human activity and development depends74Economic
Political
Social
Environmental
Cultural
Ethical
Alonso-Almeida, Marimon and Llach (2015, p. 140) [35]Meeting the needs of today’s generation without sacrificing the ability of future generations to meet their own needs61Social
Ethical
Aragonés, Izurieta and Raposo (2003) [36]Discourse involving political, social and economic actors49Economic
Political
Social
Artaraz (2002) [37]Productive systems that use only renewable resources and energies, and do not produce waste, since they return to nature (through compost) or become an input for another manufactured product342Economic
Environmental
Ethical
Austermühle (2012) [38]Having no negative impact on the global environment, society or economy through environmentally friendly activities, ensuring that all processes, products and operations consider the environmental challenges while producing an economic benefit39Economic
Social
Environmental
Ávila (2018) [39]Exploiting natural resources in a way that remains within the limits of regeneration and natural growth by planning the exploitation of resources and specifying the effects that exploitation will have on the whole ecosystem92Economic
Environmental
Ethical
Ayres (1996) [40]Argues that the concept of sustainability guides how humanity must act in relation to nature and be responsible for its own generations100Environmental
Ethical
Azqueta (1994) [41]Subordination of nature conservation to economic growth323Economic
Environmental
Banco Mundial (1999) [42]The ability of a project to maintain an acceptable level of flow of profits throughout its economic life Economic
Legal
Barcellos (2010) [43]It is an ongoing process that depends on the commitment to pursuing the goals set and having strategies that generate a long-term competitive advantage1Economic
Bermejo (2008) [44]Ensuring that the needs of the present are met without compromising the ability of future generations to meet their own1Social
Ethical
BNP Paribas (2009) [45]Point at which the economic, social and environmental demands of a business can be balanced with those of the society in which it develops, thereby caring for the needs of the future3Economic
Social
Environmental
Ethical
Boada, Rocchi and Kuhndt (2005) [46]It refers not only to environmental aspects, but also involves social responsibility and economic viability, which reflects the complexity of the concept, since restricting it to the environmental gives an erroneous as well as a partial or incomplete perspective6Economic
Social
Environmental
Ethical
Buarque (1994) [47]Qualitative and quantitative process of social change that balances environmental conservation and social equity over time and space1Economic
Social
Environmental
Bybee (1991, p. 151) [48]It is the outstanding central unifying idea at this time in human history and requires the consideration of all interconnected problems on a global scale383Social
Ethical
Camacho-Ruiz, Carrillo-Reyes, Rioja-Paradela, and Espinoza-Medinilla (2016) [49]Sustaining development while maintaining its physical and vital sustenance41Economic
Ethical
Carpintero (1999) [50]The lasting relationship of every socioeconomic system with its ecosystem2Economic
Social
Carrizosa (1998) [51]Inherent property of a process that perpetuates its existence within a given system31Ethical
Carvalho (1994) [52]Process of transformation in which the exploitation of resources, the direction of investments, the orientation of technological development and institutional change harmonize and reinforce the present and future potential, with the aim of meeting human needs and aspirations12Economic
Political
Social
Cepal and Pnuma (2002) [53]Recognition of the role of the environment and natural resources in ensuring economic progress15Economic
Environmental
CNUMAD (1992) [54]Integration of economic, social, cultural, political and ecological factors5Economic
Political
Social
Environmental
Cultural
Colucci-Gray, Camino, Barbiero, and Gray (2006, p. 244) [55]A system of values that has emerged in recent years as a result of a new sensitivity toward the earth and related to “ethics of the planet”261Environmental
Ethical
ConteGrand and Deliar (2018, p. 66) [56]Maximum social well-being, defined based on the values of society17Social
Cultural
Ethical
Costanza (1997) [57]Viability of the complex interaction between two dynamic systems, the socioeconomic and the ecosystem59Economic
Social
Contreras and Rojas (2015, p. 77) [58]Long-term value creation51Economic
Conway (1993, p. 380) [59]Ability of a system to maintain its productivity despite disturbances220Economic
Political
Cutter-Mackenzie and Smith (2003) [60]It is not only about understanding problems, but making sense of everyday experiences and doing so both in the personal and social spheres and in the global framework261Social
Ethical
Daly (1990) [61]Viability of a socioeconomic system over time2182Economic
Social
Díaz and Camejo (2015) [62]Viable development over time whose essential condition is that the capabilities of the socioeconomic system not increase and may be available for the generations to come217Economic
Social
Ethical
Ebel and Kissmann (2011, p. 72) [63]The needs of future and current generations Social
Ethical
Edwars (2005) [64]Diverse, multicultural, multiperspective and global revolution, built around four dimensions, ecological, economic, fairness and education14Economic
Cultural
Ethical
Ehrenfeld (2005) [65]Possibility of allowing all forms of life to always thrive Ethical
Elizalde (2004) [66]It is a collective task with no pre-established conditions since it is a conceptual construction that requires debate and the participation of all the actors involved. To achieve this will demand a huge political and cultural effort of all humankind238Political
Social
Cultural
Ethical
Estévez (2013) [67]Addressing current needs without compromising the ability of future generations to meet their own, ensuring the balance between economic growth, environmental care and social well-being70Economic
Social
Environmental
Ethical
Feil and Schreiber (2017, p. 673) [68]Having the worry about future existence of natural resources to support the continuation of human life as its foundation33Social
Environmental
Ethical
Fernández and Gutiérrez (2013, p. 122) [69]Improving the quality of human life by living within the load-bearing or sustaining capacity of supporting ecosystems117Social
Environmental
Ethical
Gallopín (1996, p. 105) [70]Set of basic system attributes viewed as a whole323Ethical
Gallopín (2003) [9]Attribute of systems open to interactions with the external world. It is not a fixed state of constancy, but the dynamic preservation of the essential identity of the system amid permanent changes713Cultural
Ethical
Garcés (2000) [71]It is a new way of understanding the relationships between people and their environment from a social perspective that involves prioritizing the psychological and social satisfaction of the individual and their quality of life over algorithmic processes5Political
Social
Ethical
Gómez (2015) [72]It involves comparing various scenarios involving resource consumption, the most sustainable being that which can be made effective with the greatest efficiency and at the lowest possible cost in resources1Economic
González, Montes, Santos, and Monedero (2008) [73]Basic principle or premise of global sustainable development, in which a society’s primary objective is to meet its basic needs in such a way that it can maintain, now and in the future, acceptable levels of social well-being9Social
Ethical
Green Facts (2021) [74]A characteristic or state whereby the needs of the present and local population can be met without compromising the ability of future generations or populations in other locations to meet their needs1Economic
Social
Environmental
Ethical
Guzmán and Alonso (2007) [75]Exploitation of natural resources that does not put in jeopardy their availability to future generations and that leads to a sense of nature as a resource of the liberal economy127Economic
Social
Environmental
González and De Lázaro y Torres (2005) [76]It is the quest for urban development that does not degrade the environment and provides quality of life for citizens4Economic
Political
Social
Environmental
Ethical
Hart and Milstein (2003) [77]Creating value at the level of strategies and practices2115Ethical
Hicks (1946, p. 27) [78]Maximum amount of resources that a person can consume in a period and still be as well off at the end of the period as s/he was at the beginning72Economic
Legal
Political
Social
Environmental
Cultural
Ethical
Holling (2001) [79]Process of creating, innovating and experimenting in order to increase the adaptive capacities of ecosystems and individuals and human societies as a whole in a changing context of disturbance, uncertainty and surprise4557Political
Social
Ethical
Idrovo-Carlier, S. and Torres-Castillo (2017) [80]It refers to the individual. Human sustainability is achieved when people are able to harmonize all areas in which they develop to reach their personal fulfillment without sacrificing their quality of life1Social
Ethical
Jimenez (1998, p. 61) [81]Principle of complementarity and incompatibility between growth and nature4Economic
Environmental
Ethical
Kammerbauer (2001) [82]A policy objective that falls within the ethics of responsibility49Political
Social
Ethical
Kates et al. (2001) [83]Is caring for the earth, its living biota and its people3504Social
Environmental
Ethical
Khandker, Baqui, and Zahed (1995) [84]The program’s ability to carry out its activities and services on an ongoing basis, in the quest for the fulfillment of its objectives556Ethical
Lalangui, Espinoza, and Pérez (2017, p. 148) [85]An integral part of social responsibility58Social
Ethical
Langenwalter (2009, p. 10) [86]Sustainability involves complex and changing environmental dynamics that affect human livelihoods and well-being, with intersecting ecological, economic and sociopolitical dimensions, both globally and locally15Economic
Legal
Social
Environmental
Linares (2013) [87]Creating value on aggregate. Individuals are sustainable when they add more value than they subtract. The same is true of an enterprise, a country or a specific activity21Economic
Ethical
López (2006) [88]Intergenerational protection of natural resources, so that future generations can enjoy them in the same conditions and at the same level as previous generations2Social
Environmental
López, López and Ancona (2005) [89]Process that harmonizes economic growth, the preservation of natural resources, the reduction of environmental deterioration, social equity, all in a political context operating at all levels: local, regional, national and global100Economic
Legal
Political
Social
Environmental
Cultural
Ethical
Lufiego and Rabadán (2000) [11]Generic concept that is defined as the viability of a socioeconomic system over time69Economic
Social
Ethical
Macedo (2005) [90]It is the development that meets the needs of the present generation without compromising the ability of future generations to meet their own needs113Social
Ethical
Marcén (2009) [91]Concept associated with the realization that the world is not as broad and limitless as we had believed2Ethical
Meadows, Meadows, and Randers (1991) [92]Persisting over generations and able to look to the future with enough flexibility and wisdom as not to undermine physical or social systems of support3937Social
Ethical
Millán, Hidalgo, and Arjona (2015) [93]Responsibility related to the environment, natural resources and Indigenous communities in various rural areas58Social
Environmental
Cultural
Mitcham (1995) [94]Exchanging unsustainable trends and intrinsic contradictions for the interaction between economic development and environmental deterioration242Economic
Environmental
Ethical
Mokate (2001) [95]The ability to be maintained or sustained. An initiative is sustainable if it persists over time391Ethical
Mokate (2004) [96]The ability of an initiative to maintain an adequate flow of resources to ensure the continuity of expected effects3Ethical
Montensen (2000, p. 29) [97]Represents a new paradigm based on a model of citizenship that must be and needs to be shaped and informed271Political
Social
Ethical
Naredo (1996, p. 133) [98]Viability of the relationship between a socioeconomic system and an ecosystem333Economic
Social
Environmental
Nogales (2006) [99]Having as a point of reference the natural order and the use of the knowledge we have acquired about natural and ecological systems43Social
Environmental
Ethical
O’Connor (1994, p. 411) [100]Relationship between a socioeconomic system and an ecosystem whose rate of entropy is compatible with maintaining that relationship over time14Economic
Social
Ethical
O’Connor (2006) [101]Focuses on interfaces, interactions and interdependencies between the economic, social and environmental spheres, with the mediation of the political dimension220Economic
Political
Social
Environmental
Organización de las Naciones Unidas (2018) [102]Processes of inclusion and stability13Economic
Ethical
O’Riordan (1988) [103]It is a phenomenon that encompasses ethical standards related to the survival of all living things, the rights of future generations and the institutions responsible for ensuring that such rights are taken into account in policies and actions469Legal
Political
Social
Ethical
Partridge (2011) [104]Has many definitions, with the three most common being an activity that can be continued indefinitely without causing harm; doing unto others as you would have them do unto you; and meeting a current generation’s needs without compromising those of future generations47Ethical
Pearce (1997, p. 11) [105]It requires that the conditions necessary for equal access to the resource base be met for the benefit of each generation670Social
Ethical
Pearce, Albritton, Grant, Steed, and Zelenika (2012, p. 44) [106]Appropriate technology, social entrepreneurship, service learning and international development to focus on what they do best58Economic
Social
Pérez (2012, p. 142) [107]Paradigm that seeks to reconcile the conflict between the production of goods and services for society (development) and the environmental supply available in terms of natural resources and ecosystem services151Economic
Political
Social
Ethical
Pezzey (1992) [108]Nondeclining utility of a representative member of society for millennia into the future.443Social
Ethical
Pezzey and Toman (2002, p. 14) [109]Concern for intergenerational equity in the long-term decision making of a society.186Social
Ethical
Pinillos and Fernández (2011) [110]Creating long-term value by leveraging opportunities and effectively exploiting the risks inherent in economic, environmental and social development146Economic
Social
Environmental
Plasencia, Marrero, Bajo, and Nicado (2018, p. 69) [111]Development that meets the needs of these generations without compromising the ability of future generations to meet their needs30Economic
Social
Ethical
Quiroga (2001) [112]Leaving to future generations a stock of natural capital equal to that available to present generations, that is, sustainability is seen as a process of maintaining natural capital332Economic
Social
Ethical
Rees (1990, p. 22) [113]Opportunity for a return to community values, local control over resources, community-based development and other forms of decentralized government329Legal
Political
Social
Ethical
Robilliard (2006) [114]That which, in its development, takes into account economic, social and environmental aspects with a democratic attitude that involves the participation of those affected by the process22Economic
Social
Environmental
Rodríguez-Ariza, Frías, and García (2014, p. 6) [115]Economic, social and environmental impact of business activities over a given period of time69Economic
Social
Environmental
Rodríguez and Govea (2006) [116]Anthropocentric and comprehensive concept that provides well-being to present and future generations without environmental-social-economic deterioration37Economic
Social
Environmental
Ethical
Rojas (2009) [117]Sustainability can be understood as the balance between the environmental, economic and social that translates into urban quality of life8Economic
Social
Environmental
Ethical
Rueda (2002) [118]Process of social change wherein the exploitation of resources, the orientation toward technological development and institutional reforms are carried out harmoniously, expanding the current and future potential for the satisfaction of human needs and aspirations8Economic
Social
Ethical
Schreiner, Henriksen, and Hansen (2005, p. 13) [119]Moral education on the responsibility for social action with a perspective on both today and tomorrow173Social
Ethical
Toro (2007) [6]Maintenance of a phenomenon or dynamic process over time, within margins that condition its viability. This idea of its ability to last is related to its withstanding possible alterations caused by external elements and/or sudden internal changes31Ethical
UICN, PNUMA, WWF (1991) [120]Maintaining the load-bearing capacity of an ecosystem over the course of the relationship between society and the ecosystem17Social
Environmental
Ethical
Uribe, Vargas, and Merchán (2018, p. 61) [121]Permanence of results overtime9Economic
Vasconez and Torres (2018, p. 49) [122]Anthropological and technocentric concept, functioning in the development of productive forces and indefinite growth, which puts a price on nature11Economic
Environmental
Vaitheeswaran (2002) [123]It is what we owe future generations and how we can reconcile that with what we owe the poorest among us today46Economic
Social
Ethical
Vilches and Gil (2013) [124]It requires holistic approaches that take into account all the problems that characterize the planetary emergency because they are closely interconnected and mutually empowered59Social
Environmental
Ethical
Vilches and Gil (2015, p. 39) [125]Addressing the current global emergency situation and driving societies’ transition69Social
Ethical
Willis (2003) [126]Communication tool, useful for dialogue between stakeholders1746Economic
World Bank (2003) [127]Improve human well-being over time. The poor and the vulnerable must have much greater access to assets for growth to be sustainable and for the world to avoid social unrest20Economic
Social
Ethical
World Commission on Environment and Development (1987) [128]Meeting the needs of the present without compromising the ability of future generations to meet their own503Economic
Ethical

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Table 1. Dimensions.
Table 1. Dimensions.
DimensionCodification of the DefinitionExample of the Search String
EconomicEconomic or financial aspects affecting and promoting sustainability processes‘new models of economic sustainability’ ‘speculation’ ‘maximization of profit’
‘disruptive processes’ ‘social economy’
LegalRegulations, attitudes and ideologies that produce certainty and contribute to the development of biological systems that remain productive over time‘increase in the powers of bodies responsible for prevention/monitoring/sanctioning to halt regulatory abuse’
PoliticalAreas that are concerned with power relations, political leadership behaviors, public opinion, international relations and armed conflicts‘promoting equal rights in order to live in an area or neighborhood in a non-invasive way’ ‘national and transnational regulation’
SocialAspects that determine and characterize the quality of life of the inhabitants of a given area‘protection according to needs: equity’ ‘social inclusion’ ‘protection of a healthy and dignified life (welfare) above other purely economic elements’ ‘management of unlimited consumption on a finite planet’
CulturalSystem of values, beliefs and ways of establishing a society as a mental construct based on geographical identity‘conservation of popular traditions’ ‘identity’ ‘cultural heritage’
EthicalThat which shapes man’s moral principles and virtues in regard to their responsibility for their actions, to the projection to the community, and to the construction of a healthy coexistence‘values’ ‘set of norms and customs that direct or value human behavior in a community’ ‘citizen awareness’ ‘promotion of social ethics’ ‘primacy of the person: how we ought to live’ ‘processes of social responsibility’
EnvironmentalNatural or altered system in which humanity lives, with all associated social and biophysical aspects and the relationships between them‘pollution’ ‘reduce, reuse, recycle’ ‘significant alteration of natural and transformed systems and their resources, caused by human actions’ ‘contribution to the protection and maintenance of biodiversity’
Table 2. Scope dimension.
Table 2. Scope dimension.
jDimensionsCDi%PDi
1Economic898831
2Legal9853
3Political759926
4Social20,97572
5Cultural12914
6Ethical23,37880
7Environmental734925
Table 3. Number of higher order UA.
Table 3. Number of higher order UA.
Number of Codified DimensionsNumber of Higher Order UAWeighting in the Google Count (%)Distribution
720.6 Mathematics 09 01308 i001
610.3 Mathematics 09 01308 i002
522.7 Mathematics 09 01308 i003
4124.8 Mathematics 09 01308 i004
33437.4 Mathematics 09 01308 i005
23336.2 Mathematics 09 01308 i006
11618.1 Mathematics 09 01308 i007
Total = 100Total = 100%
Table 4. Triad model.
Table 4. Triad model.
Triad Number TriadsNumber of UA IncludedWeighting Fraction (%)
6Economic-Political-Social20.6
11Economic-Social-Ethical86.7
12Economic-Social-Environmental76.7
13Economic-Cultural-Ethical10.1
15Economic-Ethical-Environmental46.2
27Political-Social-Ethical444.6
32Social-Cultural-Ethical10.2
33Social-Cultural-Environmental10.5
34Social-Ethical-Environmental634.4
Total = 34Total = 100%
Table 5. Relative importance.
Table 5. Relative importance.
TriadEconomicLegalPoliticalSocialCulturalEthicalEnvironmentalRelative Importance (⁰/1)
Appearing110.31 0.72 0.80 1.83
27 0.260.72 0.80 1.78
34 0.72 0.800.251.77
32 0.720.040.80 1.56
150.31 0.800.251.36
60.31 0.260.72 1.29
120.31 0.72 0.251.28
130.31 0.040.80 1.15
33 0.720.04 0.251.01
Not appearing21 0.03 0.72 0.80 1.55
80.31 0.26 0.80 1.37
31 0.26 0.800.251.31
28 0.260.72 0.251.23
40.310.03 0.80 1.14
29 0.26 0.040.80 1.10
18 0.030.26 0.80 1.09
35 0.040.800.251.09
25 0.03 0.800.251.08
100.31 0.720.04 1.07
20.310.03 0.72 1.06
26 0.260.720.04 1.02
16 0.030.260.72 1.01
22 0.03 0.72 0.251.00
23 0.03 0.040.80 0.87
90.31 0.26 0.250.82
20 0.03 0.720.04 0.79
140.31 0.04 0.250.60
70.31 0.26 0.04 0.61
10.310.030.26 0.60
50.310.03 0.250.59
30 0.26 0.04 0.250.55
19 0.030.26 0.250.54
30.310.03 0.04 0.38
17 0.030.26 0.04 0.33
24 0.03 0.04 0.250.32
Table 6. Relative importance.
Table 6. Relative importance.
EconomicLegalPoliticalSocialCulturalEthicalEnvironmental
Appearing1.550.000.525.040.124.801.00
Not appearing3.100.453.385.760.487.202.75
Table 7. Induction.
Table 7. Induction.
Holling (2001)Process of creating, innovating and experimenting in order to increase the adaptive capacities of ecosystems and of individuals and human societies as a whole, in a changing context of disturbance, uncertainty and surprise4557Political
Social
Ethical
Montensen (2000, p. 29)Represents a new paradigm based on a model of citizenship that must be and needs to be shaped and informed271Political
Social
Ethical
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Luque González, A.; Coronado Martín, J.Á.; Vaca-Tapia, A.C.; Rivas, F. How Sustainability Is Defined: An Analysis of 100 Theoretical Approximations. Mathematics 2021, 9, 1308. https://doi.org/10.3390/math9111308

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Luque González A, Coronado Martín JÁ, Vaca-Tapia AC, Rivas F. How Sustainability Is Defined: An Analysis of 100 Theoretical Approximations. Mathematics. 2021; 9(11):1308. https://doi.org/10.3390/math9111308

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Luque González, Arturo, Jesús Ángel Coronado Martín, Ana Cecilia Vaca-Tapia, and Francklin Rivas. 2021. "How Sustainability Is Defined: An Analysis of 100 Theoretical Approximations" Mathematics 9, no. 11: 1308. https://doi.org/10.3390/math9111308

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