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Sunday, February 18, 2024

Social ecological model

From Wikipedia, the free encyclopedia

Socio-ecological models were developed to further the understanding of the dynamic interrelations among various personal and environmental factors. Socioecological models were introduced to urban studies by sociologists associated with the Chicago School after the First World War as a reaction to the narrow scope of most research conducted by developmental psychologists. These models bridge the gap between behavioral theories that focus on small settings and anthropological theories.

Introduced as a conceptual model in the 1970s, formalized as a theory in the 1980s, and continually revised by Bronfenbrenner until his death in 2005, Urie Bronfenbrenner's Ecological Framework for Human Development applies socioecological models to human development. In his initial theory, Bronfenbrenner postulated that in order to understand human development, the entire ecological system in which growth occurs needs to be taken into account. In subsequent revisions, Bronfenbrenner acknowledged the relevance of biological and genetic aspects of the person in human development.

At the core of Bronfenbrenner’s ecological model is the child’s biological and psychological makeup, based on individual and genetic developmental history. This makeup continues to be affected and modified by the child’s immediate physical and social environment (microsystem) as well as interactions among the systems within the environment (mesosystems). Other broader social, political and economic conditions (exosystem) influence the structure and availability of microsystems and the manner in which they affect the child. Finally, social, political, and economic conditions are themselves influenced by the general beliefs and attitudes (macrosystems) shared by members of the society. (Bukatko & Daehler, 1998)

In its simplest terms, systems theory is the idea that one thing affects another. The basic idea behind systems theory is that one thing affects another event and existence does not occur in a vacuum but in relation to changing circumstances systems are dynamic and paradoxically retain their own integrity while adapting to the inevitable changes going on around them. Our individual and collective behaviour is influenced by everything from our genes to the political environment. It is not possible to fully understand our development and behaviour without taking into account all of these elements. And indeed, this is what some social work theories insist that we do if we are to make effective interventions. Lying behind these models is the idea that everything is connected, everything can affect everything else. Complex systems are made up of many parts. It is not possible to understand the whole without recognizing how the component parts interact, affect and change each other. As the parts interact, they create the character and function of the whole.

From systems thinking to socioecological models

A system can be defined as a comparatively bounded structure consisting of interacting, interrelated, or interdependent elements that form a whole. Systems thinking argues that the only way to fully understand something or an occurrence is to understand the parts in relation to the whole. Thus, systems thinking, which is the process of understanding how things influence one another within a whole, is central to ecological models. Generally, a system is a community situated within an environment. Examples of systems are health systems, education systems, food systems, and economic systems.

Drawing from natural ecosystems which are defined as the network of interactions among organisms and between organisms and their environment, social ecology is a framework or set of theoretical principles for understanding the dynamic interrelations among various personal and environmental factors. Social ecology pays explicit attention to the social, institutional, and cultural contexts of people-environment relations. This perspective emphasizes the multiple dimensions (example: physical environment, social and cultural environment, personal attributes), multiple levels (example: individuals, groups, organizations), and complexity of human situations (example: cumulative impact of events over time). Social ecology also incorporates concepts such as interdependence and homeostasis from systems theory to characterize reciprocal and dynamic person-environment transactions.

Individuals are key agents in ecological systems. From an ecological perspective, the individual is both a postulate (a basic entity whose existence is taken for granted) and a unit of measurement. As a postulate, an individual has several characteristics. First an individual requires access to an environment, upon which they are dependent for knowledge. Second, they are interdependent with other humans; that is, is always part of a population and cannot exist otherwise. Third, an individual is time bound, or has a finite life cycle. Fourth, they have an innate tendency to preserve and expand life. Fifth, they have capacity for behavioral variability. Social ecological models are thus applicable to the processes and conditions that govern the lifelong course of human development in the actual environment in which human beings live. Urie Bronfenbrenner's Ecological Framework for Human Development is considered to be the most recognized and utilized social ecological model (as applied to human development). Ecological systems theory considers a child's development within the context of the systems of relationship that form his or her environment.

Bronfenbrenner's ecological framework for human development

Illustration of Bronfenbrenner's ecological framework for human development. Individual's environment is influenced by each nested layer but interconnected structures.

Bronfenbrenner's ecological framework for human development was first introduced in the 1970s as a conceptual model and became a theoretical model in the 1980s. Two distinct phases of the theory can be identified. Bronfenbrenner stated that "it is useful to distinguish two periods: the first ending with the publication of the Ecology of Human Development (1979), and the second characterized by a series of papers that called the original model into question." Bronfenbrenner's initial theory illustrated the importance of place to aspects of the context, and in the revision, he engaged in self-criticism for discounting the role a person plays in his or her own development while focusing too much on the context. Although revised, altered, and extended, the heart of Bronfenbrenner's theory remains the ecological-stressing person-context interrelatedness.

The Bronfenbrenner ecological model examines human development by studying how human beings create the specific environments in which they live. In other words, human beings develop according to their environment; this can include society as a whole and the period in which they live, which will impact behavior and development. This views behavior and development as a symbiotic relationship, which is why this is also known as the “bioecological” model.

Ecological systems theory

Bronfenbrenner made his Ecological systems theory to explain how everything in a child and the child's environment affects how a child grows and develops. In his original theory, Bronfenbrenner postulated that in order to understand human development, the entire ecological system in which growth occurs needs to be taken into account. This system is composed of five socially organized subsystems that support and guide human development. Each system depends on the contextual nature of the person's life and offers an evergrowing diversity of options and sources of growth. Furthermore, within and between each system are bi-directional influences. These bi-directional influences imply that relationships have impact in two directions, both away from the individual and towards the individual.

Because we potentially have access to these subsystems we are able to have more social knowledge, an increased set of possibilities for learning problem solving, and access to new dimensions of self-exploration.

Microsystem

The microsystem is the layer closest to the child and contains the structures with which the child has direct contact. The microsystem encompasses the relationships and interactions a child has with his or her immediate surroundings such as family, school, neighborhood, or childcare environments. At the microsystem level, bi-directional influences are strongest and have the greatest impact on the child. However, interactions at outer levels can still impact the inner structures. This core environment stands as the child's venue for initially learning about the world. As the child's most intimate learning setting, it offers him or her a reference point for the world. The microsystem may provide the nurturing centerpiece for the child or become a haunting set of memories. The real power in this initial set of interrelations with family for the child is what they experience in terms of developing trust and mutuality with their significant people. The family is the child's early microsystem for learning how to live. The caring relations between child and parents (or other caregivers) can help to influence a healthy personality. For example, the attachment behaviors of parents offer children their first trust-building experience.

Mesosystem

The mesosystem moves us beyond the dyad or two-party relation. Mesosystems connect two or more systems in which child, parent and family live. Mesosystems provide the connection between the structures of the child's microsystem. For example, the connection between the child's teacher and his parents, between his church and his neighborhood, each represent mesosystems.

Exosystem

The exosystem defines the larger social system in which the child does not directly function. The structures in this layer impact the child's development by interacting with some structure in his/her microsystem. Parent workplace schedules or community-based family resources are examples. The child may not be directly involved at this level, but they do feel the positive or negative force involved with the interaction with their own system. The main exosystems that indirectly influence youth through their family include: school and peers, parents' workplace, family social networks and neighborhood community contexts, local politics and industry. Exosystems can be empowering (example: a high quality child-care program that benefits the entire family) or they can be degrading (example: excessive stress at work impacts the entire family). Furthermore, absence from a system makes it no less powerful in a life. For example, many children realise the stress of their parent's workplaces without ever physically being in these places.

Macrosystem

The macrosystem is the larger cultural context, such as attitudes and social conditions within the culture where the child is located. Macrosystems can be used to describe the cultural or social context of various societal groups such as social classes, ethnic groups, or religious affiliates. This layer is the outermost layer in the child's environment. The effects of larger principles defined by the macrosystem have a cascading influence throughout the interactions of all other layers. The macrosystem influences what, how, when and where we carry out our relations. For example, a program like Women, Infants, and Children (WIC) may positively impact a young mother through health care, vitamins, and other educational resources. It may empower her life so that she, in turn, is more effective and caring with her newborn. In this example, without an umbrella of beliefs, services, and support for families, children and their parents are open to great harm and deterioration. In a sense, the macrosytem that surrounds us helps us to hold together the many threads of our lives.

Chronosystem

The chronosystem encompasses the dimension of time as it relates to a child's environment. Elements within this system can be either external, such as the timing of a parent's death, or internal, such as the physiological changes that occur with the aging of a child. Family dynamics need to be framed in the historical context as they occur within each system. Specifically, the powerful influence that historical influences in the macrosystem have on how families can respond to different stressors. Bronfenbrenner suggests that, in many cases, families respond to different stressors within the societal parameters existent in their lives.

Process person context time model

Bronfenbrenner's most significant departure from his original theory is the inclusion of processes of human development. Processes, per Bronfenbrenner, explain the connection between some aspect of the context or some aspect of the individual and an outcome of interest. The full, revised theory deals with the interaction among processes, person, context and time, and is labeled the Process–Person–Context–Time model (PPCT). Two interdependent propositions define the properties of the model. Furthermore, contrary to the original model, the Process–Person–Context–Time model is more suitable for scientific investigation. Per Bronfenbrenner:

"Proposition 1: In its early phase and throughout the lifecourse, human development takes place through processes of progressively more complex reciprocal interactions between an active, evolving biopsychological human organism and the persons, objects and symbols in its immediate environment. To be effective, the interaction must occur on a fairly regular basis over extended periods of time. These forms of interaction in the immediate environment are referred to as proximal processes.
Proposition 2: the form, power and content and direction of the proximal processes affecting development vary systematically as a joint function of the characteristics of the developing person, of the environment-immediate and more remote-in which the processes are taking place and the nature of the developmental outcome under consideration."

Processes play a crucial role in development. Proximal processes are fundamental to the theory. They constitute the engines of development because it is by engaging in activities and interactions that individuals come to make sense of their world, understand their place in it, and both play their part in changing the prevailing order while fitting into the existing one. The nature of proximal processes varies according to aspects of the individual and of the context—both spatially and temporally. As explained in the second of the two central propositions, the social continuities and changes occur overtime through the life course and the historical period during which the person lives. Effects of proximal processes are thus more powerful than those of the environmental contexts in which they occur.

Person. Bronfenbrenner acknowledges here the relevance of biological and genetic aspects of the person. However, he devoted more attention to the personal characteristics that individuals bring with them into any social situation. He divided these characteristics into three types' demand, resource, and force characteristics. Demand characteristics are those that act as an immediate stimulus to another person, such as age, gender, skin color, and physical appearance. These types of characteristics may influence initial interactions because of the expectations formed immediately. Resource characteristics are those that relate partly to mental and emotional resources such as past experiences, skills, and intelligence, and also to social and material resources (access to good food, housing, caring parents, and educational opportunities appropriate to the needs of the particular society). Finally, force characteristics are those that have to do with differences of temperament, motivation, and persistence. According to Bronfenbrenner, two children may have equal resource characteristics, but their developmental trajectories will be quite different if one is motivated to succeed and persists in tasks and the other is not motivated and does not persist. As such, Bronfenbrenner provided a clearer view of individuals' roles in changing their context. The change can be relatively passive (a person changes the environment simply by being in it), to more active (the ways in which the person changes the environment are linked to his or her resource characteristics, whether physical, mental, or emotional), to most active (the extent to which the person changes the environment is linked, in part, to the desire and drive to do so, or force characteristics).

The context, or environment, involves four of the five interrelated systems of the original theory: the microsystem, the mesosystem, the exosystem, and the macrosystem.

The final element of the PPCT model is time. Time plays a crucial role in human development. In the same way that both context and individual factors are divided into sub-factors or sub-systems, Bronfenbrenner and Morris wrote about time as constituting micro-time (what is occurring during the course of some specific activity or interaction), meso-time (the extent to which activities and interactions occur with some consistency in the developing person's environment), and macro-time (the chronosystem). Time and timing are equally important because all aspects of the PPCT model can be thought of in terms of relative constancy and change.

Applications

The application of social ecological theories and models focus on several goals: to explain the person-environment interaction, to improve people-environment transactions, to nurture human growth and development in particular environments, and to improve environments so they support expression of individual's system's dispositions. Some examples are:

  • Political and economic policies that support the importance of parent's roles in their children's development such as Head Start or Women Infants and Children programs.
  • Fostering of societal attitudes that value work done on behalf of children at all levels: parents, teachers, extended family, mentors, work supervisors, legislators.
  • In community health promotion: identifying high impact leverage points and intermediaries within organizations that can facilitate the successful implementation of health promoting interventions, combining person focused and environmentally based components within comprehensive health promotion programs, and measuring the scope and sustainability of intervention outcomes over prolonged periods. Basis of intervention programs to address issues such as bullying, obesity, overeating and physical activity.
  • Interventions that use the social ecological model as a framework include mass media campaigns, social marketing, and skills development.
  • In economics: economics, human habits, and cultural characteristics are shaped by geography. In economics, an output is a function of natural resources, human resources, capital resources, and technology. The environment (macrosystem) dictates a considerable amount to the lifestyle of the individual and the economy of the country. For instance, if the region is mountainous or arid and there is little land for agriculture, the country typically will not prosper as much as another country that has greater resources.
  • In risk communication: used to assist the researcher to analyze the timing of when information is received and identify the receivers and stakeholders. This situation is an environmental influence that may be very far reaching. The individual's education level, understanding, and affluence may dictate what information he or she receives and processes and through which medium.
  • In personal health: to prevent illnesses, a person should avoid an environment in which they may be more susceptible to contracting a virus or where their immune system would be weakened. This also includes possibly removing oneself from a potentially dangerous environment or avoiding a sick coworker. On the other hand, some environments are particularly conducive to health benefits. Surrounding oneself with physically fit people will potentially act as a motivator to become more active, diet, or work out at the gym. The government banning trans fat may have a positive top-down effect on the health of all individuals in that state or country.
  • In human nutrition: used as a model for nutrition research and interventions. The social ecological model looks at multiple levels of influence on specific health behaviors. Levels include intrapersonal (individual's knowledge, demographics, attitudes, values, skills, behavior, self-concept, self-esteem), interpersonal (social networks, social supports, families, work groups, peers, friends, neighbors), organizational (norms, incentives, organizational culture, management styles, organizational structure, communication networks), community (community resources, neighborhood organizations, folk practices, non-profit organizations, informal and formal leadership practices), and public policy level (legislation, policies, taxes, regulatory agencies, laws) Multi-level interventions are thought to be most effective in changing behavior.
  • In public health: drawing upon this model to address the health of a nation's population is viewed as critically important to the strategic alignment of policy and services across the continuum of population health needs, including the design of effective health promotion and disease prevention and control strategies. Thus also, in the development of universal health care systems, it is appropriate to recognize "Health in All Policies" as the overarching policy framework, with public health, primary health care and community services as the cross-cutting framework for all health and health-related services operating across the spectrum from primary prevention to long term care and end-stage conditions. Although this perspective is both logical and well grounded, the reality is different in most settings, and there is room for improvement everywhere.
  • In politics: the act of politics is making decisions. A decision may be required of an individual, organization, community, or country. A decision a congressman makes affects anyone in his or her jurisdiction. If one makes the decision not to vote for the President of the United States, one has given oneself no voice in the election. If many other individuals choose not to voice their opinion and/or vote, they have inadvertently allowed a majority of others to make the decision for them. On the international level, if the leadership of the U.S. decides to occupy a foreign country it not only affects the leadership; it also affects U.S. service members, their families, and the communities they come from. There are multiple cross-level and interactive effects of such a decision.

Criticism

Although generally well received, Urie Bronfenbrenner's models have encountered some criticism throughout the years. Most criticism center around the difficulties to empirically test the theory and model and the broadness of the theory that makes it challenging to intervene at an any given level. One main critique of Brenfenbrenner's Biological model is that it "...focuses too much on the biological and cognitive aspects of human development, but not much on socioemotional aspect of human development". Some examples of critiques of the theory are:

  • Challenging to evaluate all components empirically.
  • Difficult explanatory model to apply because it requires extensive scope of ecological detail with which to build up meaning that everything in someone's environment needs to be taken into account.
  • Failure to acknowledge that children positively cross boundaries to develop complex identities.
  • Inability to recognize that children's own constructions of family are more complex than traditional theories account for
  • The systems around children are not always linear.
  • Preoccupation with achieving "normal" childhood without a common understanding of "normal".
  • Fails to see that the variables of social life are in constant interplay and that small variables can change a system.
  • Misses the tension between control and self-realization in child-adult relationships; children can shape culture.
  • Underplays abilities, overlooks rights/feelings/complexity.
  • Gives too little attention to biological and cognitive factors in children's development.
  • Does not address developmental stages that are the focus of theories like Piaget's and Erikson's.

Key contributors

Mathematical diagram

From Wikipedia, the free encyclopedia
https://en.wikipedia.org/wiki/Mathematical_diagram
Euclid's Elements, ms. from Lüneburg, A.D. 1200

Mathematical diagrams, such as charts and graphs, are mainly designed to convey mathematical relationships—for example, comparisons over time.

Specific types of mathematical diagrams

Argand diagram

Argand diagram.

A complex number can be visually represented as a pair of numbers forming a vector on a diagram called an Argand diagram The complex plane is sometimes called the Argand plane because it is used in Argand diagrams. These are named after Jean-Robert Argand (1768–1822), although they were first described by Norwegian-Danish land surveyor and mathematician Caspar Wessel (1745–1818). Argand diagrams are frequently used to plot the positions of the poles and zeroes of a function in the complex plane.

The concept of the complex plane allows a geometric interpretation of complex numbers. Under addition, they add like vectors. The multiplication of two complex numbers can be expressed most easily in polar coordinates — the magnitude or modulus of the product is the product of the two absolute values, or moduli, and the angle or argument of the product is the sum of the two angles, or arguments. In particular, multiplication by a complex number of modulus 1 acts as a rotation.

Butterfly diagram

Butterfly diagram

In the context of fast Fourier transform algorithms, a butterfly is a portion of the computation that combines the results of smaller discrete Fourier transforms (DFTs) into a larger DFT, or vice versa (breaking a larger DFT up into subtransforms). The name "butterfly" comes from the shape of the data-flow diagram in the radix-2 case, as described below. The same structure can also be found in the Viterbi algorithm, used for finding the most likely sequence of hidden states.

The butterfly diagram show a data-flow diagram connecting the inputs x (left) to the outputs y that depend on them (right) for a "butterfly" step of a radix-2 Cooley–Tukey FFT algorithm. This diagram resembles a butterfly as in the Morpho butterfly shown for comparison, hence the name.

A commutative diagram depicting the five lemma

Commutative diagram

In mathematics, and especially in category theory, a commutative diagram is a diagram of objects, also known as vertices, and morphisms, also known as arrows or edges, such that when selecting two objects any directed path through the diagram leads to the same result by composition.

Commutative diagrams play the role in category theory that equations play in algebra.

Hasse diagram.

Hasse diagrams

A Hasse diagram is a simple picture of a finite partially ordered set, forming a drawing of the partial order's transitive reduction. Concretely, one represents each element of the set as a vertex on the page and draws a line segment or curve that goes upward from x to y precisely when x < y and there is no z such that x < z < y. In this case, we say y covers x, or y is an immediate successor of x. In a Hasse diagram, it is required that the curves be drawn so that each meets exactly two vertices: its two endpoints. Any such diagram (given that the vertices are labeled) uniquely determines a partial order, and any partial order has a unique transitive reduction, but there are many possible placements of elements in the plane, resulting in different Hasse diagrams for a given order that may have widely varying appearances.

Knot diagram.

Knot diagrams

In Knot theory a useful way to visualise and manipulate knots is to project the knot onto a plane—;think of the knot casting a shadow on the wall. A small perturbation in the choice of projection will ensure that it is one-to-one except at the double points, called crossings, where the "shadow" of the knot crosses itself once transversely

At each crossing we must indicate which section is "over" and which is "under", so as to be able to recreate the original knot. This is often done by creating a break in the strand going underneath. If by following the diagram the knot alternately crosses itself "over" and "under", then the diagram represents a particularly well-studied class of knot, alternating knots.

Venn diagram.

Venn diagram

A Venn diagram is a representation of mathematical sets: a mathematical diagram representing sets as circles, with their relationships to each other expressed through their overlapping positions, so that all possible relationships between the sets are shown.

The Venn diagram is constructed with a collection of simple closed curves drawn in the plane. The principle of these diagrams is that classes be represented by regions in such relation to one another that all the possible logical relations of these classes can be indicated in the same diagram. That is, the diagram initially leaves room for any possible relation of the classes, and the actual or given relation, can then be specified by indicating that some particular region is null or is not null.

Voronoi centerlines.

Voronoi diagram

A Voronoi diagram is a special kind of decomposition of a metric space determined by distances to a specified discrete set of objects in the space, e.g., by a discrete set of points. This diagram is named after Georgy Voronoi, also called a Voronoi tessellation, a Voronoi decomposition, or a Dirichlet tessellation after Peter Gustav Lejeune Dirichlet.

In the simplest case, we are given a set of points S in the plane, which are the Voronoi sites. Each site s has a Voronoi cell V(s) consisting of all points closer to s than to any other site. The segments of the Voronoi diagram are all the points in the plane that are equidistant to two sites. The Voronoi nodes are the points equidistant to three (or more) sites

Wallpaper group diagram.

Wallpaper group diagrams

A wallpaper group or plane symmetry group or plane crystallographic group is a mathematical classification of a two-dimensional repetitive pattern, based on the symmetries in the pattern. Such patterns occur frequently in architecture and decorative art. There are 17 possible distinct groups.

Wallpaper groups are two-dimensional symmetry groups, intermediate in complexity between the simpler frieze groups and the three-dimensional crystallographic groups, also called space groups. Wallpaper groups categorize patterns by their symmetries. Subtle differences may place similar patterns in different groups, while patterns which are very different in style, color, scale or orientation may belong to the same group.

Young diagram

A Young diagram or Young tableau, also called Ferrers diagram, is a finite collection of boxes, or cells, arranged in left-justified rows, with the row sizes weakly decreasing (each row has the same or shorter length than its predecessor).

Young diagram.

Listing the number of boxes in each row gives a partition of a positive integer n, the total number of boxes of the diagram. The Young diagram is said to be of shape , and it carries the same information as that partition. Listing the number of boxes in each column gives another partition, the conjugate or transpose partition of ; one obtains a Young diagram of that shape by reflecting the original diagram along its main diagonal.

Young tableaux were introduced by Alfred Young, a mathematician at Cambridge University, in 1900. They were then applied to the study of symmetric group by Georg Frobenius in 1903. Their theory was further developed by many mathematicians.

Other mathematical diagrams

Interdisciplinarity

From Wikipedia, the free encyclopedia
 
Interdisciplinarity or interdisciplinary studies involves the combination of multiple academic disciplines into one activity (e.g., a research project). It draws knowledge from several other fields like sociology, anthropology, psychology, economics, etc. It is about creating something by thinking across boundaries. It is related to an interdiscipline or an interdisciplinary field, which is an organizational unit that crosses traditional boundaries between academic disciplines or schools of thought, as new needs and professions emerge. Large engineering teams are usually interdisciplinary, as a power station or mobile phone or other project requires the melding of several specialties. However, the term "interdisciplinary" is sometimes confined to academic settings.

The term interdisciplinary is applied within education and training pedagogies to describe studies that use methods and insights of several established disciplines or traditional fields of study. Interdisciplinarity involves researchers, students, and teachers in the goals of connecting and integrating several academic schools of thought, professions, or technologies—along with their specific perspectives—in the pursuit of a common task. The epidemiology of HIV/AIDS or global warming requires understanding of diverse disciplines to solve complex problems. Interdisciplinary may be applied where the subject is felt to have been neglected or even misrepresented in the traditional disciplinary structure of research institutions, for example, women's studies or ethnic area studies. Interdisciplinarity can likewise be applied to complex subjects that can only be understood by combining the perspectives of two or more fields.

The adjective interdisciplinary is most often used in educational circles when researchers from two or more disciplines pool their approaches and modify them so that they are better suited to the problem at hand, including the case of the team-taught course where students are required to understand a given subject in terms of multiple traditional disciplines. For example, the subject of land use may appear differently when examined by different disciplines, for instance, biology, chemistry, economics, geography, and politics.

Development

Although "interdisciplinary" and "interdisciplinarity" are frequently viewed as twentieth century terms, the concept has historical antecedents, most notably Greek philosophy. Julie Thompson Klein attests that "the roots of the concepts lie in a number of ideas that resonate through modern discourse—the ideas of a unified science, general knowledge, synthesis and the integration of knowledge", while Giles Gunn says that Greek historians and dramatists took elements from other realms of knowledge (such as medicine or philosophy) to further understand their own material. The building of Roman roads required men who understood surveying, material science, logistics and several other disciplines. Any broadminded humanist project involves interdisciplinarity, and history shows a crowd of cases, as seventeenth-century Leibniz's task to create a system of universal justice, which required linguistics, economics, management, ethics, law philosophy, politics, and even sinology.

Interdisciplinary programs sometimes arise from a shared conviction that the traditional disciplines are unable or unwilling to address an important problem. For example, social science disciplines such as anthropology and sociology paid little attention to the social analysis of technology throughout most of the twentieth century. As a result, many social scientists with interests in technology have joined science, technology and society programs, which are typically staffed by scholars drawn from numerous disciplines. They may also arise from new research developments, such as nanotechnology, which cannot be addressed without combining the approaches of two or more disciplines. Examples include quantum information processing, an amalgamation of quantum physics and computer science, and bioinformatics, combining molecular biology with computer science. Sustainable development as a research area deals with problems requiring analysis and synthesis across economic, social and environmental spheres; often an integration of multiple social and natural science disciplines. Interdisciplinary research is also key to the study of health sciences, for example in studying optimal solutions to diseases. Some institutions of higher education offer accredited degree programs in Interdisciplinary Studies.

At another level, interdisciplinarity is seen as a remedy to the harmful effects of excessive specialization and isolation in information silos. On some views, however, interdisciplinarity is entirely indebted to those who specialize in one field of study—that is, without specialists, interdisciplinarians would have no information and no leading experts to consult. Others place the focus of interdisciplinarity on the need to transcend disciplines, viewing excessive specialization as problematic both epistemologically and politically. When interdisciplinary collaboration or research results in new solutions to problems, much information is given back to the various disciplines involved. Therefore, both disciplinarians and interdisciplinarians may be seen in complementary relation to one another.

Barriers

Because most participants in interdisciplinary ventures were trained in traditional disciplines, they must learn to appreciate differences of perspectives and methods. For example, a discipline that places more emphasis on quantitative rigor may produce practitioners who are more scientific in their training than others; in turn, colleagues in "softer" disciplines who may associate quantitative approaches with difficulty grasp the broader dimensions of a problem and lower rigor in theoretical and qualitative argumentation. An interdisciplinary program may not succeed if its members remain stuck in their disciplines (and in disciplinary attitudes). Those who lack experience in interdisciplinary collaborations may also not fully appreciate the intellectual contribution of colleagues from those discipline. From the disciplinary perspective, however, much interdisciplinary work may be seen as "soft", lacking in rigor, or ideologically motivated; these beliefs place barriers in the career paths of those who choose interdisciplinary work. For example, interdisciplinary grant applications are often refereed by peer reviewers drawn from established disciplines; interdisciplinary researchers may experience difficulty getting funding for their research. In addition, untenured researchers know that, when they seek promotion and tenure, it is likely that some of the evaluators will lack commitment to interdisciplinarity. They may fear that making a commitment to interdisciplinary research will increase the risk of being denied tenure.

Interdisciplinary programs may also fail if they are not given sufficient autonomy. For example, interdisciplinary faculty are usually recruited to a joint appointment, with responsibilities in both an interdisciplinary program (such as women's studies) and a traditional discipline (such as history). If the traditional discipline makes the tenure decisions, new interdisciplinary faculty will be hesitant to commit themselves fully to interdisciplinary work. Other barriers include the generally disciplinary orientation of most scholarly journals, leading to the perception, if not the fact, that interdisciplinary research is hard to publish. In addition, since traditional budgetary practices at most universities channel resources through the disciplines, it becomes difficult to account for a given scholar or teacher's salary and time. During periods of budgetary contraction, the natural tendency to serve the primary constituency (i.e., students majoring in the traditional discipline) makes resources scarce for teaching and research comparatively far from the center of the discipline as traditionally understood. For these same reasons, the introduction of new interdisciplinary programs is often resisted because it is perceived as a competition for diminishing funds.

Due to these and other barriers, interdisciplinary research areas are strongly motivated to become disciplines themselves. If they succeed, they can establish their own research funding programs and make their own tenure and promotion decisions. In so doing, they lower the risk of entry. Examples of former interdisciplinary research areas that have become disciplines, many of them named for their parent disciplines, include neuroscience, cybernetics, biochemistry and biomedical engineering. These new fields are occasionally referred to as "interdisciplines". On the other hand, even though interdisciplinary activities are now a focus of attention for institutions promoting learning and teaching, as well as organizational and social entities concerned with education, they are practically facing complex barriers, serious challenges and criticism. The most important obstacles and challenges faced by interdisciplinary activities in the past two decades can be divided into "professional", "organizational", and "cultural" obstacles.

Interdisciplinary studies and studies of interdisciplinarity

An initial distinction should be made between interdisciplinary studies, which can be found spread across the academy today, and the study of interdisciplinarity, which involves a much smaller group of researchers. The former is instantiated in thousands of research centers across the US and the world. The latter has one US organization, the Association for Interdisciplinary Studies (founded in 1979), two international organizations, the International Network of Inter- and Transdisciplinarity (founded in 2010) and the Philosophy of/as Interdisciplinarity Network (founded in 2009). The US's research institute devoted to the theory and practice of interdisciplinarity, the Center for the Study of Interdisciplinarity at the University of North Texas, was founded in 2008 but is closed as of 1 September 2014, the result of administrative decisions at the University of North Texas.

An interdisciplinary study is an academic program or process seeking to synthesize broad perspectives, knowledge, skills, interconnections, and epistemology in an educational setting. Interdisciplinary programs may be founded in order to facilitate the study of subjects which have some coherence, but which cannot be adequately understood from a single disciplinary perspective (for example, women's studies or medieval studies). More rarely, and at a more advanced level, interdisciplinarity may itself become the focus of study, in a critique of institutionalized disciplines' ways of segmenting knowledge.

In contrast, studies of interdisciplinarity raise to self-consciousness questions about how interdisciplinarity works, the nature and history of disciplinarity, and the future of knowledge in post-industrial society. Researchers at the Center for the Study of Interdisciplinarity have made the distinction between philosophy 'of' and 'as' interdisciplinarity, the former identifying a new, discrete area within philosophy that raises epistemological and metaphysical questions about the status of interdisciplinary thinking, with the latter pointing toward a philosophical practice that is sometimes called 'field philosophy'.

Perhaps the most common complaint regarding interdisciplinary programs, by supporters and detractors alike, is the lack of synthesis—that is, students are provided with multiple disciplinary perspectives but are not given effective guidance in resolving the conflicts and achieving a coherent view of the subject. Others have argued that the very idea of synthesis or integration of disciplines presupposes questionable politico-epistemic commitments. Critics of interdisciplinary programs feel that the ambition is simply unrealistic, given the knowledge and intellectual maturity of all but the exceptional undergraduate; some defenders concede the difficulty, but insist that cultivating interdisciplinarity as a habit of mind, even at that level, is both possible and essential to the education of informed and engaged citizens and leaders capable of analyzing, evaluating, and synthesizing information from multiple sources in order to render reasoned decisions.

While much has been written on the philosophy and promise of interdisciplinarity in academic programs and professional practice, social scientists are increasingly interrogating academic discourses on interdisciplinarity, as well as how interdisciplinarity actually works—and does not—in practice. Some have shown, for example, that some interdisciplinary enterprises that aim to serve society can produce deleterious outcomes for which no one can be held to account.

Politics of interdisciplinary studies

Since 1998, there has been an ascendancy in the value of interdisciplinary research and teaching and a growth in the number of bachelor's degrees awarded at U.S. universities classified as multi- or interdisciplinary studies. The number of interdisciplinary bachelor's degrees awarded annually rose from 7,000 in 1973 to 30,000 a year by 2005 according to data from the National Center of Educational Statistics (NECS). In addition, educational leaders from the Boyer Commission to Carnegie's President Vartan Gregorian to Alan I. Leshner, CEO of the American Association for the Advancement of Science have advocated for interdisciplinary rather than disciplinary approaches to problem-solving in the 21st century. This has been echoed by federal funding agencies, particularly the National Institutes of Health under the direction of Elias Zerhouni, who has advocated that grant proposals be framed more as interdisciplinary collaborative projects than single-researcher, single-discipline ones.

At the same time, many thriving longstanding bachelor's in interdisciplinary studies programs in existence for 30 or more years, have been closed down, in spite of healthy enrollment. Examples include Arizona International (formerly part of the University of Arizona), the School of Interdisciplinary Studies at Miami University, and the Department of Interdisciplinary Studies at Wayne State University; others such as the Department of Interdisciplinary Studies at Appalachian State University, and George Mason University's New Century College, have been cut back. Stuart Henry has seen this trend as part of the hegemony of the disciplines in their attempt to recolonize the experimental knowledge production of otherwise marginalized fields of inquiry. This is due to threat perceptions seemingly based on the ascendancy of interdisciplinary studies against traditional academia.

Examples

Historical examples

There are many examples of when a particular idea, almost on the same period, arises in different disciplines. One case is the shift from the approach of focusing on "specialized segments of attention" (adopting one particular perspective), to the idea of "instant sensory awareness of the whole", an attention to the "total field", a "sense of the whole pattern, of form and function as a unity", an "integral idea of structure and configuration". This has happened in painting (with cubism), physics, poetry, communication and educational theory. According to Marshall McLuhan, this paradigm shift was due to the passage from an era shaped by mechanization, which brought sequentiality, to the era shaped by the instant speed of electricity, which brought simultaneity.

Efforts to simplify and defend the concept

An article in the Social Science Journal attempts to provide a simple, common-sense, definition of interdisciplinarity, bypassing the difficulties of defining that concept and obviating the need for such related concepts as transdisciplinarity, pluridisciplinarity, and multidisciplinary:

To begin with, a discipline can be conveniently defined as any comparatively self-contained and isolated domain of human experience which possesses its own community of experts. Interdisciplinarity is best seen as bringing together distinctive components of two or more disciplines. In academic discourse, interdisciplinarity typically applies to four realms: knowledge, research, education, and theory. Interdisciplinary knowledge involves familiarity with components of two or more disciplines. Interdisciplinary research combines components of two or more disciplines in the search or creation of new knowledge, operations, or artistic expressions. Interdisciplinary education merges components of two or more disciplines in a single program of instruction. Interdisciplinary theory takes interdisciplinary knowledge, research, or education as its main objects of study.

In turn, interdisciplinary richness of any two instances of knowledge, research, or education can be ranked by weighing four variables: number of disciplines involved, the "distance" between them, the novelty of any particular combination, and their extent of integration.

Interdisciplinary knowledge and research are important because:

  1. "Creativity often requires interdisciplinary knowledge.
  2. Immigrants often make important contributions to their new field.
  3. Disciplinarians often commit errors which can be best detected by people familiar with two or more disciplines.
  4. Some worthwhile topics of research fall in the interstices among the traditional disciplines.
  5. Many intellectual, social, and practical problems require interdisciplinary approaches.
  6. Interdisciplinary knowledge and research serve to remind us of the unity-of-knowledge ideal.
  7. Interdisciplinarians enjoy greater flexibility in their research.
  8. More so than narrow disciplinarians, interdisciplinarians often treat themselves to the intellectual equivalent of traveling in new lands.
  9. Interdisciplinarians may help breach communication gaps in the modern academy, thereby helping to mobilize its enormous intellectual resources in the cause of greater social rationality and justice.
  10. By bridging fragmented disciplines, interdisciplinarians might play a role in the defense of academic freedom."

Quotations

"The modern mind divides, specializes, thinks in categories: the Greek instinct was the opposite, to take the widest view, to see things as an organic whole [...]. The Olympic games were designed to test the arete of the whole man, not a merely specialized skill [...]. The great event was the pentathlon, if you won this, you were a man. Needless to say, the Marathon race was never heard of until modern times: the Greeks would have regarded it as a monstrosity."

"Previously, men could be divided simply into the learned and the ignorant, those more or less the one, and those more or less the other. But your specialist cannot be brought in under either of these two categories. He is not learned, for he is formally ignorant of all that does not enter into his specialty; but neither is he ignorant, because he is 'a scientist,' and 'knows' very well his own tiny portion of the universe. We shall have to say that he is a learned ignoramus, which is a very serious matter, as it implies that he is a person who is ignorant, not in the fashion of the ignorant man, but with all the petulance of one who is learned in his own special line."

"It is the custom among those who are called 'practical' men to condemn any man capable of a wide survey as a visionary: no man is thought worthy of a voice in politics unless he ignores or does not know nine-tenths of the most important relevant facts."

Scientific visualization

From Wikipedia, the free encyclopedia
A scientific visualization of a simulation of a Rayleigh–Taylor instability caused by two mixing fluids.
Surface rendering of Arabidopsis thaliana pollen grains with confocal microscope.

Scientific visualization (also spelled scientific visualisation) is an interdisciplinary branch of science concerned with the visualization of scientific phenomena. It is also considered a subset of computer graphics, a branch of computer science. The purpose of scientific visualization is to graphically illustrate scientific data to enable scientists to understand, illustrate, and glean insight from their data. Research into how people read and misread various types of visualizations is helping to determine what types and features of visualizations are most understandable and effective in conveying information.

History

Charles Minard's flow map of Napoleon's March.

One of the earliest examples of three-dimensional scientific visualisation was Maxwell's thermodynamic surface, sculpted in clay in 1874 by James Clerk Maxwell. This prefigured modern scientific visualization techniques that use computer graphics.

Notable early two-dimensional examples include the flow map of Napoleon's March on Moscow produced by Charles Joseph Minard in 1869; the "coxcombs" used by Florence Nightingale in 1857 as part of a campaign to improve sanitary conditions in the British army; and the dot map used by John Snow in 1855 to visualise the Broad Street cholera outbreak.

Data visualization methods

Criteria for classifications:

  • dimension of the data
  • method
    • textura based methods
    • geometry-based approaches such as arrow plots, streamlines, pathlines, timelines, streaklines, particle tracing, surface particles, stream arrows, stream tubes, stream balls, flow volumes and topological analysis

Two-dimensional data sets

Scientific visualization using computer graphics gained in popularity as graphics matured. Primary applications were scalar fields and vector fields from computer simulations and also measured data. The primary methods for visualizing two-dimensional (2D) scalar fields are color mapping and drawing contour lines. 2D vector fields are visualized using glyphs and streamlines or line integral convolution methods. 2D tensor fields are often resolved to a vector field by using one of the two eigenvectors to represent the tensor each point in the field and then visualized using vector field visualization methods.

Three-dimensional data sets

For 3D scalar fields the primary methods are volume rendering and isosurfaces. Methods for visualizing vector fields include glyphs (graphical icons) such as arrows, streamlines and streaklines, particle tracing, line integral convolution (LIC) and topological methods. Later, visualization techniques such as hyperstreamlines were developed to visualize 2D and 3D tensor fields.

Topics

Maximum intensity projection (MIP) of a whole body PET scan.
Solar System image of the main asteroid belt and the Trojan asteroids.
Scientific visualization of Fluid Flow: Surface waves in water
Chemical imaging of a simultaneous release of SF6 and NH3.
Topographic scan of a glass surface by an Atomic force microscope.

Computer animation

Computer animation is the art, technique, and science of creating moving images via the use of computers. It is becoming more common to be created by means of 3D computer graphics, though 2D computer graphics are still widely used for stylistic, low bandwidth, and faster real-time rendering needs. Sometimes the target of the animation is the computer itself, but sometimes the target is another medium, such as film. It is also referred to as CGI (Computer-generated imagery or computer-generated imaging), especially when used in films. Applications include medical animation, which is most commonly utilized as an instructional tool for medical professionals or their patients.

Computer simulation

Computer simulation is a computer program, or network of computers, that attempts to simulate an abstract model of a particular system. Computer simulations have become a useful part of mathematical modelling of many natural systems in physics, and computational physics, chemistry and biology; human systems in economics, psychology, and social science; and in the process of engineering and new technology, to gain insight into the operation of those systems, or to observe their behavior. The simultaneous visualization and simulation of a system is called visulation.

Computer simulations vary from computer programs that run a few minutes, to network-based groups of computers running for hours, to ongoing simulations that run for months. The scale of events being simulated by computer simulations has far exceeded anything possible (or perhaps even imaginable) using the traditional paper-and-pencil mathematical modeling: over 10 years ago, a desert-battle simulation, of one force invading another, involved the modeling of 66,239 tanks, trucks and other vehicles on simulated terrain around Kuwait, using multiple supercomputers in the DoD High Performance Computing Modernization Program.

Information visualization

Information visualization is the study of "the visual representation of large-scale collections of non-numerical information, such as files and lines of code in software systems, library and bibliographic databases, networks of relations on the internet, and so forth".

Information visualization focused on the creation of approaches for conveying abstract information in intuitive ways. Visual representations and interaction techniques take advantage of the human eye's broad bandwidth pathway into the mind to allow users to see, explore, and understand large amounts of information at once. The key difference between scientific visualization and information visualization is that information visualization is often applied to data that is not generated by scientific inquiry. Some examples are graphical representations of data for business, government, news and social media.

Interface technology and perception

Interface technology and perception shows how new interfaces and a better understanding of underlying perceptual issues create new opportunities for the scientific visualization community.

Surface rendering

Rendering is the process of generating an image from a model, by means of computer programs. The model is a description of three-dimensional objects in a strictly defined language or data structure. It would contain geometry, viewpoint, texture, lighting, and shading information. The image is a digital image or raster graphics image. The term may be by analogy with an "artist's rendering" of a scene. 'Rendering' is also used to describe the process of calculating effects in a video editing file to produce final video output. Important rendering techniques are:

Scanline rendering and rasterisation
A high-level representation of an image necessarily contains elements in a different domain from pixels. These elements are referred to as primitives. In a schematic drawing, for instance, line segments and curves might be primitives. In a graphical user interface, windows and buttons might be the primitives. In 3D rendering, triangles and polygons in space might be primitives.
Ray casting
Ray casting is primarily used for realtime simulations, such as those used in 3D computer games and cartoon animations, where detail is not important, or where it is more efficient to manually fake the details in order to obtain better performance in the computational stage. This is usually the case when a large number of frames need to be animated. The resulting surfaces have a characteristic 'flat' appearance when no additional tricks are used, as if objects in the scene were all painted with matte finish.
Radiosity
Radiosity, also known as Global Illumination, is a method that attempts to simulate the way in which directly illuminated surfaces act as indirect light sources that illuminate other surfaces. This produces more realistic shading and seems to better capture the 'ambience' of an indoor scene. A classic example is the way that shadows 'hug' the corners of rooms.
Ray tracing
Ray tracing is an extension of the same technique developed in scanline rendering and ray casting. Like those, it handles complicated objects well, and the objects may be described mathematically. Unlike scanline and casting, ray tracing is almost always a Monte Carlo technique, that is one based on averaging a number of randomly generated samples from a model.

Volume rendering

Volume rendering is a technique used to display a 2D projection of a 3D discretely sampled data set. A typical 3D data set is a group of 2D slice images acquired by a CT or MRI scanner. Usually these are acquired in a regular pattern (e.g., one slice every millimeter) and usually have a regular number of image pixels in a regular pattern. This is an example of a regular volumetric grid, with each volume element, or voxel represented by a single value that is obtained by sampling the immediate area surrounding the voxel.

Volume visualization

According to Rosenblum (1994) "volume visualization examines a set of techniques that allows viewing an object without mathematically representing the other surface. Initially used in medical imaging, volume visualization has become an essential technique for many sciences, portraying phenomena become an essential technique such as clouds, water flows, and molecular and biological structure. Many volume visualization algorithms are computationally expensive and demand large data storage. Advances in hardware and software are generalizing volume visualization as well as real time performances".

Developments of web-based technologies, and in-browser rendering have allowed of simple volumetric presentation of a cuboid with a changing frame of reference to show volume, mass and density data.

Applications

This section will give a series of examples how scientific visualization can be applied today.

In the natural sciences

Star formation: The featured plot is a Volume plot of the logarithm of gas/dust density in an Enzo star and galaxy simulation. Regions of high density are white while less dense regions are more blue and also more transparent.

Gravitational waves: Researchers used the Globus Toolkit to harness the power of multiple supercomputers to simulate the gravitational effects of black-hole collisions.

Massive Star Supernovae Explosions: In the image, three-Dimensional Radiation Hydrodynamics Calculations of Massive Star Supernovae Explosions The DJEHUTY stellar evolution code was used to calculate the explosion of SN 1987A model in three dimensions.

Molecular rendering: VisIt's general plotting capabilities were used to create the molecular rendering shown in the featured visualization. The original data was taken from the Protein Data Bank and turned into a VTK file before rendering.

In geography and ecology

Terrain visualization: VisIt can read several file formats common in the field of Geographic Information Systems (GIS), allowing one to plot raster data such as terrain data in visualizations. The featured image shows a plot of a DEM dataset containing mountainous areas near Dunsmuir, CA. Elevation lines are added to the plot to help delineate changes in elevation.

Tornado Simulation: This image was created from data generated by a tornado simulation calculated on NCSA's IBM p690 computing cluster. High-definition television animations of the storm produced at NCSA were included in an episode of the PBS television series NOVA called "Hunt for the Supertwister." The tornado is shown by spheres that are colored according to pressure; orange and blue tubes represent the rising and falling airflow around the tornado.

Climate visualization: This visualization depicts the carbon dioxide from various sources that are advected individually as tracers in the atmosphere model. Carbon dioxide from the ocean is shown as plumes during February 1900.

Atmospheric Anomaly in Times Square In the image the results from the SAMRAI simulation framework of an atmospheric anomaly in and around Times Square are visualized.

In mathematics

Scientific visualization of mathematical structures has been undertaken for purposes of building intuition and for aiding the forming of mental models.

Domain coloring of f(x) = (x2−1)(x−2−i)2/x2+2+2i

Higher-dimensional objects can be visualized in form of projections (views) in lower dimensions. In particular, 4-dimensional objects are visualized by means of projection in three dimensions. The lower-dimensional projections of higher-dimensional objects can be used for purposes of virtual object manipulation, allowing 3D objects to be manipulated by operations performed in 2D, and 4D objects by interactions performed in 3D.

In complex analysis, functions of the complex plane are inherently 4-dimensional, but there is no natural geometric projection into lower dimensional visual representations. Instead, colour vision is exploited to capture dimensional information using techniques such as domain coloring.

In the formal sciences

Computer mapping of topographical surfaces: Through computer mapping of topographical surfaces, mathematicians can test theories of how materials will change when stressed. The imaging is part of the work on the NSF-funded Electronic Visualization Laboratory at the University of Illinois at Chicago.

Curve plots: VisIt can plot curves from data read from files and it can be used to extract and plot curve data from higher-dimensional datasets using lineout operators or queries. The curves in the featured image correspond to elevation data along lines drawn on DEM data and were created with the feature lineout capability. Lineout allows you to interactively draw a line, which specifies a path for data extraction. The resulting data was then plotted as curves.

Image annotations: The featured plot shows Leaf Area Index (LAI), a measure of global vegetative matter, from a NetCDF dataset. The primary plot is the large plot at the bottom, which shows the LAI for the whole world. The plots on top are actually annotations that contain images generated earlier. Image annotations can be used to include material that enhances a visualization such as auxiliary plots, images of experimental data, project logos, etc.

Scatter plot: VisIt's Scatter plot allows visualizing multivariate data of up to four dimensions. The Scatter plot takes multiple scalar variables and uses them for different axes in phase space. The different variables are combined to form coordinates in the phase space and they are displayed using glyphs and colored using another scalar variable.

In the applied sciences

Porsche 911 model (NASTRAN model): The featured plot contains a Mesh plot of a Porsche 911 model imported from a NASTRAN bulk data file. VisIt can read a limited subset of NASTRAN bulk data files, in general enough to import model geometry for visualization.

YF-17 aircraft Plot: The featured image displays plots of a CGNS dataset representing a YF-17 jet aircraft. The dataset consists of an unstructured grid with solution. The image was created by using a pseudocolor plot of the dataset's Mach variable, a Mesh plot of the grid, and Vector plot of a slice through the Velocity field.

City rendering: An ESRI shapefile containing a polygonal description of the building footprints was read in and then the polygons were resampled onto a rectilinear grid, which was extruded into the featured cityscape.

Inbound traffic measured: This image is a visualization study of inbound traffic measured in billions of bytes on the NSFNET T1 backbone for the month of September 1991. The traffic volume range is depicted from purple (zero bytes) to white (100 billion bytes). It represents data collected by Merit Network, Inc.

Organizations

Important laboratories in the field are:

Conferences in this field, ranked by significance in scientific visualization research, are:

See further: Computer graphics organizations, Supercomputing facilities

Equality (mathematics)

From Wikipedia, the free encyclopedia https://en.wikipedia.org/wiki/Equality_...