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A trade-off (or tradeoff) is a situational decision that involves diminishing or losing one quality, quantity, or property of a set or design in return for gains in other aspects. In simple terms, a tradeoff is where one thing increases, and another must decrease. Tradeoffs stem from limitations of many origins, including simple physics – for instance, only a certain volume of objects can fit into a given space, so a full container must remove some items in order to accept any more, and vessels can carry a few large items or multiple small items. Tradeoffs also commonly refer to different configurations of a single item, such as the tuning of strings on a guitar to enable different notes to be played, as well as an allocation of time and attention towards different tasks. The concept of a tradeoff suggests a tactical or strategic choice made with full comprehension of the advantages and disadvantages of each setup. An economic example is the decision to invest in stocks, which are risky but carry great potential return, versus bonds, which are generally safer but with lower potential returns.


Theoretical description

The theoretical description of trade-offs involves the
pareto front In multi-objective optimization, the Pareto front (also called Pareto frontier or Pareto curve) is the set of all Pareto efficient solutions. The concept is widely used in engineering. It allows the designer to restrict attention to the set of effi ...
.


Examples

The concept of a trade-off is often used to describe situations in everyday life.


Economics

In
economics Economics () is the social science that studies the production, distribution, and consumption of goods and services. Economics focuses on the behaviour and interactions of economic agents and how economies work. Microeconomics anal ...
a trade-off is expressed in terms of the
opportunity cost In microeconomic theory, the opportunity cost of a particular activity is the value or benefit given up by engaging in that activity, relative to engaging in an alternative activity. More effective it means if you chose one activity (for example ...
of a particular choice, which is the loss of the most preferred alternative given up. A tradeoff, then, involves a sacrifice that must be made to obtain a certain product, service, or experience, rather than others that could be made or obtained using the same required resources. For example, for a person going to a basketball game, their opportunity cost is the loss of the alternative of watching a particular television program at home. If the basketball game occurs during her or his working hours, then the opportunity cost would be several hours of lost work, as they would need to take time off work. Many factors affect the tradeoff environment within a particular country, including the availability of raw materials, a skilled labor force, machinery for producing a product, technology and capital, market rate to produce that product on a reasonable time scale, and so forth. A trade-off in economics is often illustrated graphically by a
Pareto frontier In multi-objective optimization, the Pareto front (also called Pareto frontier or Pareto curve) is the set of all Pareto efficient solutions. The concept is widely used in engineering. It allows the designer to restrict attention to the set of e ...
(named after the economist
Vilfredo Pareto Vilfredo Federico Damaso Pareto ( , , , ; born Wilfried Fritz Pareto; 15 July 1848 – 19 August 1923) was an Italians, Italian polymath (civil engineer, sociologist, economist, political scientist, and philosopher). He made several important ...
), which shows the greatest (or least) amount of one thing that can be attained for each of various given amounts of the other. As an example, in production theory, the trade-off between the output of one good and the output of another is illustrated graphically by the production possibilities frontier. The Pareto frontier is also used in
multi-objective optimization Multi-objective optimization (also known as multi-objective programming, vector optimization, multicriteria optimization, multiattribute optimization or Pareto optimization) is an area of multiple criteria decision making that is concerned with ...
. In
finance Finance is the study and discipline of money, currency and capital assets. It is related to, but not synonymous with economics, the study of production, distribution, and consumption of money, assets, goods and services (the discipline of f ...
, the
capital asset pricing model In finance, the capital asset pricing model (CAPM) is a model used to determine a theoretically appropriate required rate of return of an asset, to make decisions about adding assets to a well-diversified portfolio. The model takes into ac ...
includes an
efficient frontier In modern portfolio theory, the efficient frontier (or portfolio frontier) is an investment portfolio which occupies the "efficient" parts of the risk–return spectrum. Formally, it is the set of portfolios which satisfy the condition that no o ...
that shows the highest level of expected return that any portfolio could have given any particular level of risk, as measured by the
variance In probability theory and statistics, variance is the expectation of the squared deviation of a random variable from its population mean or sample mean. Variance is a measure of dispersion, meaning it is a measure of how far a set of numbe ...
of portfolio return.


Opportunity cost

An opportunity cost example of trade-offs for an individual would be the decision by a full-time worker to take time off work with a salary of $50,000 to attend medical school with an annual tuition of $30,000 and earning $150,000 as a doctor after 7 years of study. If we assume for the sake of simplicity that the medical school only allows full-time study, then the individual considering stopping work would face a trade-off between not going to medical school and earning $50,000 at work, or going to medical school and losing $50,000 in salary and having to pay $30,000 in tuition but earning $150,000 or more per year after 7 years of study.


Trash cans

Trash cans that are used inside and then taken out to the street and emptied into a dumpster can be small or large. A large trash can does not need to be taken out to the dumpster so often, but it may become very heavy and difficult to move when full. The choice of big versus small trash can is a trade-off between the frequency of needing to take out the trash and ease of use. In the case of
food waste Food loss and waste is food that is not eaten. The causes of food waste or loss are numerous and occur throughout the food system, during production, processing, distribution, retail and food service sales, and consumption. Overall, about o ...
, a second trade-off presents itself. Large trash cans are more likely to sit for a long time in the kitchen, leading to the food decomposing and a nasty odor. A small trash can will likely need to be taken out to the dumpster more often, thus greatly reducing or eliminating the odor. Of course, a user of a large trash can could simply carry the can outside frequently, but the larger can would be more cumbersome to take out often, and the user would have to think more about when to take the can out.


Mittens

In cold climates, mittens in which all the fingers are in the same compartment work well to keep the hands warm, but this arrangement also confines finger movement and prevents the full range of hand function. Gloves, with their separate fingers, do not have this drawback, but they do not keep the fingers as warm as mittens do. As such, with mittens and gloves, the trade-off is warmth versus dexterity. Similarly, warm coats are often bulky and impede the wearer's freedom of movement. Thin coats give the wearer more freedom of movement, but they are not as warm as a thicker coat would be.


Music

When copying music from
compact disc The compact disc (CD) is a digital optical disc data storage format that was co-developed by Philips and Sony to store and play digital audio recordings. In August 1982, the first compact disc was manufactured. It was then released in O ...
s to a computer,
lossy compression In information technology, lossy compression or irreversible compression is the class of data compression methods that uses inexact approximations and partial data discarding to represent the content. These techniques are used to reduce data si ...
formats, such as MP3, are used routinely to save
hard disk A hard disk drive (HDD), hard disk, hard drive, or fixed disk is an electro-mechanical data storage device that stores and retrieves digital data using magnetic storage with one or more rigid rapidly rotating platters coated with magn ...
space, but some information is lost resulting in lower sound quality.
Lossless compression Lossless compression is a class of data compression that allows the original data to be perfectly reconstructed from the compressed data with no loss of information. Lossless compression is possible because most real-world data exhibits statisti ...
schemes, such as
FLAC FLAC (; Free Lossless Audio Codec) is an audio coding format for lossless compression of digital audio, developed by the Xiph.Org Foundation, and is also the name of the free software project producing the FLAC tools, the reference softwa ...
or ALAC take much more disk space, but do not affect sound quality.


Cars

Large cars can carry many people, and since they have larger crumple zones, they may be safer in an accident. However, they also tend to be heavy (and often not very
aerodynamic Aerodynamics, from grc, ἀήρ ''aero'' (air) + grc, δυναμική (dynamics), is the study of the motion of air, particularly when affected by a solid object, such as an airplane wing. It involves topics covered in the field of fluid dyn ...
) and thus usually have relatively poor fuel economy. Small cars like the Smart Car can only carry two people, and being lightweight, they are more fuel-efficient. At the same time, the smaller size and weight of small cars mean that they have smaller crumple zones, which means occupants are less protected in case of an accident. In addition, if a small car has an accident with a larger, heavier car, the occupants of the smaller car will fare more poorly. Thus car size (large versus small) involves multiple tradeoffs regarding passenger capacity, accident safety, and fuel economy.


Athletics

In athletics, sprint running demands different physical attributes from running a
marathon The marathon is a long-distance foot race with a distance of , usually run as a road race, but the distance can be covered on trail routes. The marathon can be completed by running or with a run/walk strategy. There are also wheelchair div ...
. Accordingly, the two contests have distinct events in such competitions as the
Olympics The modern Olympic Games or Olympics (french: link=no, Jeux olympiques) are the leading international sporting events featuring summer and winter sports competitions in which thousands of athletes from around the world participate in a vari ...
, and each pursuit features distinct teams of athletes. Whether a professional runner is better suited to marathon running versus sprinting is a trade-off based on the runner's morphology and physiology (e.g., variation in muscle fiber type), as well as the runner's individual interest, preference, and other
motivational Motivation is the reason for which humans and other animals initiate, continue, or terminate a behavior at a given time. Motivational states are commonly understood as forces acting within the agent that create a disposition to engage in goal-dire ...
factors. Sports recruiters are mindful of these tradeoffs as they decide what role a prospective athlete would best suit on a team.


Biology

In
biology Biology is the scientific study of life. It is a natural science with a broad scope but has several unifying themes that tie it together as a single, coherent field. For instance, all organisms are made up of cells that process hereditary ...
, several types of tradeoffs have been recognized. Most simply, a tradeoff occurs when a beneficial change in one trait is linked to a detrimental change in another trait. In
environmental resource management Environmental resource management is the management of the interaction and impact of human societies on the environment. It is not, as the phrase might suggest, the management of the environment itself. Environmental resources management aim ...
, trade-offs occur among different targets. For example, these occur among biodiversity conservation,
carbon sequestration Carbon sequestration is the process of storing carbon in a carbon pool. Carbon dioxide () is naturally captured from the atmosphere through biological, chemical, and physical processes. These changes can be accelerated through changes in lan ...
and distributive equity in the distribution of funds of the program for Reducing Emissions from Deforestation and forest Degradation (REDD+), as maximizing one of these targets implies reducing the outcomes in the other two targets. The term is also used widely in an evolutionary context, in which case the processes of
natural selection Natural selection is the differential survival and reproduction of individuals due to differences in phenotype. It is a key mechanism of evolution, the change in the heritable traits characteristic of a population over generations. Cha ...
and
sexual selection Sexual selection is a mode of natural selection in which members of one biological sex choose mates of the other sex to mate with (intersexual selection), and compete with members of the same sex for access to members of the opposite sex (in ...
are in reference as the
ultimate Ultimate or Ultimates may refer to: Arts, entertainment, and media Music Albums * ''Ultimate'' (Jolin Tsai album) * ''Ultimate'' (Pet Shop Boys album) *'' Ultimate!'', an album by The Yardbirds *'' The Ultimate (Bryan Adams Album)'', a compilat ...
decisive factors. In
biology Biology is the scientific study of life. It is a natural science with a broad scope but has several unifying themes that tie it together as a single, coherent field. For instance, all organisms are made up of cells that process hereditary ...
, the concepts of tradeoffs and constraints are often closely related.


Demography

In
demography Demography () is the statistical study of populations, especially human beings. Demographic analysis examines and measures the dimensions and dynamics of populations; it can cover whole societies or groups defined by criteria such as ed ...
, tradeoff examples may include maturity, fecundity, parental care,
parity Parity may refer to: * Parity (computing) ** Parity bit in computing, sets the parity of data for the purpose of error detection ** Parity flag in computing, indicates if the number of set bits is odd or even in the binary representation of the ...
,
senescence Senescence () or biological aging is the gradual deterioration of functional characteristics in living organisms. The word ''senescence'' can refer to either cellular senescence or to senescence of the whole organism. Organismal senescence invol ...
, and
mate choice Mate choice is one of the primary mechanisms under which evolution can occur. It is characterized by a "selective response by animals to particular stimuli" which can be observed as behavior.Bateson, Paul Patrick Gordon. "Mate Choice." Mate Choic ...
. For example, the higher the fecundity (number of offspring), the lower the parental care that each offspring will receive. Parental care as a function of fecundity would show a negative sloped linear graph. A related phenomenon, known as demographic compensation, arises when the different components of species life cycles (survival, growth, fecundity, etc.) show negative correlations across the distribution ranges. For example, survival may be higher towards the northern edge of the distribution, while fecundity or growth increases towards the south, leading to a compensation that allows the species to persist along an environmental gradient. Contrasting trends in life cycle components may arise through tradeoffs in
resource allocation In economics, resource allocation is the assignment of available resources to various uses. In the context of an entire economy, resources can be allocated by various means, such as markets, or planning. In project management, resource allocatio ...
, but also through independent but opposite responses to environmental conditions.


Engineering

Tradeoffs are important in engineering. For example, in
electrical engineering Electrical engineering is an engineering discipline concerned with the study, design, and application of equipment, devices, and systems which use electricity, electronics, and electromagnetism. It emerged as an identifiable occupation in the l ...
,
negative feedback Negative feedback (or balancing feedback) occurs when some function of the output of a system, process, or mechanism is fed back in a manner that tends to reduce the fluctuations in the output, whether caused by changes in the input or by othe ...
is used in
amplifier An amplifier, electronic amplifier or (informally) amp is an electronic device that can increase the magnitude of a signal (a time-varying voltage or current). It may increase the power significantly, or its main effect may be to boost t ...
s to trade
gain Gain or GAIN may refer to: Science and technology * Gain (electronics), an electronics and signal processing term * Antenna gain * Gain (laser), the amplification involved in laser emission * Gain (projection screens) * Information gain in de ...
for other desirable properties, such as improved bandwidth, stability of the gain and/or bias point,
noise Noise is unwanted sound considered unpleasant, loud or disruptive to hearing. From a physics standpoint, there is no distinction between noise and desired sound, as both are vibrations through a medium, such as air or water. The difference aris ...
immunity, and reduction of
nonlinear In mathematics and science, a nonlinear system is a system in which the change of the output is not proportional to the change of the input. Nonlinear problems are of interest to engineers, biologists, physicists, mathematicians, and many oth ...
distortion In signal processing, distortion is the alteration of the original shape (or other characteristic) of a signal. In communications and electronics it means the alteration of the waveform of an information-bearing signal, such as an audio signa ...
. Similarly, tradeoffs are used to maximize power efficiency in medical devices whilst guaranteeing the required measurement quality.E. Aguilar Pelaez et al., "LED power reduction trade-offs for ambulatory pulse oximetry," 2007 29th Annual International Conference of the IEEE Engineering in Medicine and Biology Society, Lyon, 2007, pp. 2296-2299. doi: 10.1109/IEMBS.2007.4352784, URL: http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=4352784&isnumber=4352185


Computer science

In
computer science Computer science is the study of computation, automation, and information. Computer science spans theoretical disciplines (such as algorithms, theory of computation, information theory, and automation) to Applied science, practical discipli ...
, tradeoffs are viewed as a tool of the trade. A program can often run faster if it uses more memory (a space–time tradeoff). Consider the following examples: * By compressing an
image An image is a visual representation of something. It can be two-dimensional, three-dimensional, or somehow otherwise feed into the visual system to convey information. An image can be an artifact, such as a photograph or other two-dimensio ...
, you can reduce transmission time/costs at the expense of CPU time to perform the compression and decompression. Depending on the compression method, this may also involve the tradeoff of a loss in image quality. * By using a
lookup table In computer science, a lookup table (LUT) is an array that replaces runtime computation with a simpler array indexing operation. The process is termed as "direct addressing" and LUTs differ from hash tables in a way that, to retrieve a value v w ...
, you may be able to reduce
CPU A central processing unit (CPU), also called a central processor, main processor or just processor, is the electronic circuitry that executes instructions comprising a computer program. The CPU performs basic arithmetic, logic, controlling, a ...
time at the expense of space to hold the table, e.g. to determine the parity of a byte you can either look at each bit individually (using shifts and masks), or use a 256-entry table giving the parity for each possible bit-pattern, or combine the upper and lower nibbles and use a 16-entry table. * For some situations (e.g. string manipulation), a
compiler In computing, a compiler is a computer program that translates computer code written in one programming language (the ''source'' language) into another language (the ''target'' language). The name "compiler" is primarily used for programs tha ...
may be able to use inline code for greater speed, or call run-time routines for reduced memory; the user of the compiler should be able to indicate whether speed or space is more important. The Software Engineering Institute has a specific method for analyzing tradeoffs, called the Architecture Tradeoff Analysis Method (ATAM).


Board games

Strategy
board game Board games are tabletop games that typically use . These pieces are moved or placed on a pre-marked board (playing surface) and often include elements of table, card, role-playing, and miniatures games as well. Many board games feature a co ...
s often involve tradeoffs: for example, in
chess Chess is a board game for two players, called White and Black, each controlling an army of chess pieces in their color, with the objective to checkmate the opponent's king. It is sometimes called international chess or Western chess to dist ...
you might trade a pawn for an improved position. In a worst-case scenario, a chess player might even tradeoff the loss of a valuable piece (even the Queen) to protect the King. In Go, you might trade ''thickness'' for ''influence''.


Ethics

Ethics Ethics or moral philosophy is a branch of philosophy that "involves systematizing, defending, and recommending concepts of right and wrong behavior".''Internet Encyclopedia of Philosophy'' The field of ethics, along with aesthetics, concer ...
often involves competing for interests that must be traded off against each other, such as the interests of different people, or different principles (e.g. is it ethical to use information resulting from inhumane or illegal experiments to treat disease today?)


Medicine

In
medicine Medicine is the science and practice of caring for a patient, managing the diagnosis, prognosis, prevention, treatment, palliation of their injury or disease, and promoting their health. Medicine encompasses a variety of health care pr ...
, patients and physicians are often faced with difficult decisions involving tradeoffs. One example is localized
prostate cancer Prostate cancer is cancer of the prostate. Prostate cancer is the second most common cancerous tumor worldwide and is the fifth leading cause of cancer-related mortality among men. The prostate is a gland in the male reproductive system that su ...
where patients need to weigh the possibility of a prolonged life expectancy against possible stressful or unpleasant treatment side-effects ( patient trade-off).


Government

Governmental tradeoffs are among the most controversial political and social difficulties of any time. All of politics can be viewed as a series of tradeoffs based upon which core values are most core to most people or politicians. Political campaigns also involve tradeoffs, as when attack ads may energize the political base but alienate undecided voters.


Work schedules

With work schedules, employees will often use a tradeoff of "9/80" where an 80-hour work period is compressed into a narrow group of 9 nearly-9 hour working days over the traditional 10 8-hour working days, allowing the employee to take every second Friday off.


See also

* Architecture tradeoff analysis method * Bias–variance tradeoff * Biological constraints * Carrier's constraint *
Detection error tradeoff A detection error tradeoff (DET) graph is a graphical plot of error rates for binary classification systems, plotting the false rejection rate vs. false acceptance rate.A. Martin, A., G. Doddington, T. Kamm, M. Ordowski, and M. Przybocki.The DET ...
*
Evolutionary medicine Evolutionary medicine or Darwinian medicine is the application of modern evolutionary theory to understanding health and disease. Modern biomedical research and practice have focused on the molecular and physiological mechanisms underlying he ...
* Evolutionary physiology * Evolutionary tradeoff * Negotiation * Paradox * Patient trade-off * Space–time tradeoff * Time-trade-off * Trade-off theory of capital structure * Williamson trade-off model *
Indifference curve In economics, an indifference curve connects points on a graph representing different quantities of two goods, points between which a consumer is ''indifferent''. That is, any combinations of two products indicated by the curve will provide the c ...


References


Further reading

*Albuquerque, R. L. de, K. E. Bonine, and T. Garland, Jr. 2015. Speed and endurance do not trade-off in phrynosomatid lizards. Physiological and Biochemical Zoology 88:634–647. *Alexander, R. McN. 1985. The ideal and the feasible: physical constraints on evolution. Biol. J. Linn. Soc. 26:345-358. *Bennett, A. F., Lenski, R. E. 2007. An experimental test of evolutionary trade-offs during
temperature Temperature is a physical quantity that expresses quantitatively the perceptions of hotness and coldness. Temperature is measured with a thermometer. Thermometers are calibrated in various temperature scales that historically have relied o ...
adaptation In biology, adaptation has three related meanings. Firstly, it is the dynamic evolutionary process of natural selection that fits organisms to their environment, enhancing their evolutionary fitness. Secondly, it is a state reached by the po ...
. Proc. Natl. Acad. Sci. USA 104:8649-8654. *Campbell, D. E., and J. S. Kelly. 1994. Trade-off theory. The American Economic Review 84:422-426. *Haak, D. C., McGinnis, L. A., Levey, D. J., Tewksbury, J. J. 2012. Why are not all chilies hot? A trade-off limits pungency. Proc. R. Soc. B Biol. Sci. 279:2012-2017. *Roff, D. A., Fairbairn, D. J. 2007. The evolution of trade-offs: where are we? J. Evol. Biol. 20:433-447. *Stearns, S. C. 1989. Trade-offs in life-history evolution. Functional Ecology 3:259-268. * Philipson, C. D. et al. 2014. A trait-based trade-off between growth and mortality: evidence from 15 tropical tree species using size-specific relative growth rates. Ecology & Evolution 4: 3675–3688. 10.1002/ece3.118
10.1002/ece3.1186
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