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Ripple effect
Ripple effect
from Wikipedia
A diagram of the Ripple effect illustrating how the "Weinstein Scandal" led all the way to the rise of the Me Too movement

A ripple effect occurs when an initial disturbance to a system propagates outward to disturb an increasingly larger portion of the system, like ripples expanding across the water when an object is dropped into it.

The ripple effect is often used colloquially to mean a multiplier in macroeconomics. For example, an individual's reduction in spending reduces the incomes of others and their ability to spend.[1] In a broader global context, research has shown how monetary policy decisions, especially by major economies like the US, can create ripple effects impacting economies worldwide, emphasizing the interconnectedness of today's global economy. [2]

In sociology, the ripple effect can be observed in how social interactions can affect situations not directly related to the initial interaction,[3][page needed] and in charitable activities where information can be disseminated and passed from the community to broaden its impact.[4]

The concept has been applied in computer science within the field of software metrics as a complexity measure.[5]

Examples

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The Weinstein effect and the rise of the Me Too movement

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In October 2017, according to The New York Times[6][circular reference][7] and The New Yorker,[8] dozens of women have accused American film producer Harvey Weinstein, former founder of Miramax Films and The Weinstein Company, of rape, sexual assault and sexual abuse for over a period of three decades. Shortly after over eighty accusations, Harvey was dismissed from his own company, expelled from the Academy of Motion Picture Arts and Sciences and other professional associations, and even retired from public view. The allegations against him resulted in a special case of ripple effect, now called the Weinstein effect. This means a global trend involving a serial number of sexual misconduct allegations towards other famous men in Hollywood, such as Louis CK and Kevin Spacey.[9] The effect led to the formation of the controversial Me Too movement, where people share their experiences of sexual harassment/assault.[10][11]

Corporate social responsibility

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The effects of one company's decision to adopt a corporate social responsibility (CSR) programme on the attitudes and behaviours of rival companies has been likened to a ripple effect. Research by an international team in 2018 found that in many cases, one company's CSR initiative was seen as a competitive threat to other businesses in the same market, resulting in the adoption of further CSR initiatives.[12]

See also

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  • Butterfly effect⁣ — an effect where a minimal change in one state of a system results in large differences in its later state.
  • Clapotis — a non-breaking standing wave with higher amplitude than the waves it's composed of.
  • Domino effect — an effect where one event sets off a chain of non-incremental other events.
  • Snowball effect — an effect where a process starting from an initial state of small significance builds upon itself in time.

References

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Revisions and contributorsEdit on WikipediaRead on Wikipedia
from Grokipedia
The ripple effect denotes a causal sequence in which an initial action or event generates successive, propagating consequences within a , akin to the expanding circular waves radiating from a point of impact on a surface. The concept, with earliest documented usage dating to 1892, originates from observations of wave propagation and has since been analogized to describe indirect transmissions of influence in interconnected domains. In , it manifests as sector-specific shocks disseminating through markets, potentially amplifying into broader disruptions, as evidenced in analyses of vulnerabilities where localized interruptions correlate with firm-wide performance declines. Social sciences apply the term to behavioral diffusion, such as within groups, where empirical experiments demonstrate moods transferring via and feedback loops, altering collective dynamics. This framework highlights the underappreciated scope of in complex , with studies on mentoring revealing sustained positive outcomes extending beyond direct participants to institutional .

Definition and Conceptual Foundations

Physical Basis in Wave Propagation

The ripple effect physically manifests as the radial propagation of surface waves on a , triggered by a localized disturbance that perturbs the equilibrium surface elevation. This disturbance imparts kinetic energy to nearby particles, which oscillate and transmit the perturbation outward through cohesive forces within the medium, primarily for short wavelengths and for longer ones. In , the process adheres to the principles of linear wave theory under small-amplitude approximations, where the fluid is treated as incompressible and irrotational, satisfying ∇²φ = 0 for the velocity potential φ. For ripples generated by typical impulses like a dropped , the dominant modes are waves, with providing the restoring force that counters the surface deformation. The governing these waves in deep is ω² = (σ/ρ) k³ + g k, where ω is the , k the (k = 2π/λ), σ the surface tension coefficient (approximately 0.073 N/m for at °C), ρ the fluid density (1000 kg/m³), and g the (9.81 m/s²). For short wavelengths (λ ≲ 1.7 cm), the term dominates, yielding a v_p = ω/k ≈ √[(σ k)/ρ], which increases with , causing shorter components of the initial disturbance to outpace longer ones and resulting in dispersive spreading of the . The characteristic circular pattern emerges from the cylindrical symmetry of a point-like source in a homogeneous, isotropic , where the initial evolves via superposition of solutions propagating in all radial directions, consistent with Huygens-Fresnel applied to two-dimensional surface . Energy conservation dictates that the wave decreases inversely with the of the radius, as the fixed energy spreads over an expanding circumference. In practice, introduces damping, with decaying exponentially as e^{-γ r}, where γ depends on kinematic and , limiting distance.

Metaphorical Application to Complex Systems

The ripple effect serves as a metaphor in complex systems to illustrate the propagation of an initial perturbation through interdependent components, generating secondary and tertiary consequences that extend beyond the immediate vicinity of the origin. In such systems, marked by nonlinearity, emergence, and dense interconnections, a minor input—analogous to a stone disturbing a pond—triggers chains of causal influences that can diffuse, amplify, or transform via feedback mechanisms, contrasting with the energy-dissipating waves in physical media. This conceptualization highlights how local events cascade into system-wide alterations, often in subtle or nonlinear fashions requiring a holistic perspective to discern. Operationalized in methodologies like Ripple Effects Mapping (REM), introduced by Chazdon et al. in 2013 for evaluating extension programs, the facilitates the documentation of cascading impacts in adaptive social and networks. REM engages stakeholders in visual mapping exercises along timelines, capturing direct outcomes, unintended ripple consequences, and adaptive responses in interconnected domains such as or , thereby revealing the dynamic, non-linear nature of systems change. For instance, a targeted intervention might initially affect a but propagate to foster broader collaborations or resource reallocations, demonstrating the metaphor's utility in tracing causal pathways amid complexity. This metaphorical framework underscores causal realism by emphasizing verifiable chains of influence over isolated events, aiding analysts in anticipating in domains with high agent interconnectivity, though empirical validation remains contingent on context-specific data to distinguish genuine cascades from coincidental correlations. Unlike deterministic models, it accommodates the unpredictability inherent in complex adaptive systems, where feedbacks can either reinforce ripples—leading to phase shifts—or dampen them, as evidenced in agent-based simulations of networked disruptions.

Historical Origins and Evolution

Etymology and Early Usage

The term "ripple effect" originates from the observable physical phenomenon in , where a localized disturbance—such as an object impacting a surface—produces expanding concentric waves that diminish in while propagating outward. This literal basis draws on the verb "ripple," attested since circa 1671 to denote the formation of small waves or undulations on a surface. The compound "ripple effect" first entered printed English in 1892, initially in a physical or visual sense, as in descriptions of light or patterns mimicking ripples. Early usages in the late 19th century remained tied to tangible, sensory observations, such as the interplay of moonlight creating rippling patterns on water, rather than abstract propagation of consequences. By the mid-20th century, the phrase began shifting toward metaphorical applications, denoting indirect, cascading influences beyond immediate physical contexts; the earliest such records date to 1965 in economic or social commentary on spreading repercussions. This evolution reflects an analogy to wave propagation, where initial perturbations yield successively broader but attenuated outcomes, formalized in dictionaries by 1966 for its pervasive, often unintended spread in complex systems. Prior to widespread adoption, similar ideas of consequential chains appeared in scientific literature under terms like "wave propagation" or "cascading effects," but without the specific "ripple" imagery.

Adoption in Scientific and Social Contexts

The metaphorical application of the "ripple effect" entered scientific discourse in the mid-20th century, initially in to describe cascading behavioral influences within groups. Jacob S. Kounin, in his 1970 study Discipline and Group Management in Classrooms, formalized the term to explain how a 's targeted intervention with one disruptive propagates compliance among onlookers through mechanisms like "withitness" (teacher awareness) and overlapping attention demands, based on observational data from over 1,000 lessons across 80 elementary classes conducted in the . This adoption highlighted causal chains in group dynamics, distinguishing it from mere contagion by emphasizing structured propagation from a focal event. Subsequent extended it to , as in Hatfield et al.'s 1993 analysis of and in social interactions leading to amplified group affect. In , the concept was adopted during the to model spatial and sectoral spillovers from localized shocks, such as wage adjustments propagating across regions via labor mobility and competition. Early econometric applications, like those examining UK regional wage "ripple effects," quantified how initial changes in high-wage areas diffuse to peripheral ones, with empirical models showing decay over distance based on data from the onward. By the , it informed housing market analyses, where Meen identified migration, equity transfer, and as drivers of price ripples from to northern regions, supported by time-series data revealing asymmetric propagation during booms versus busts. These uses prioritized empirical verification through gravity models and error-correction techniques, revealing that ripple magnitudes depend on connectivity rather than assuming uniform . Sociological adoption emphasized network-mediated cascades in behavior and norms, gaining prominence in the 1980s through studies of innovation diffusion and social influence. Granovetter's 1978 threshold model of collective behavior implicitly aligned with ripple dynamics, but explicit terminology appeared in analyses of policy dissemination, such as Cernea's 1990s work on involuntary resettlement, where initial displacements triggered secondary socioeconomic disruptions across communities. In community development, the term described unintended propagations from interventions, as in Ostrom-inspired institutional analyses tracing household-level changes from market reforms in developing economies. Social contexts broadened its use beyond academia into policy evaluation by the 2000s, with methods like Ripple Effect Mapping—developed in agricultural extension programs around 2013—visualizing participatory impacts through appreciative inquiry and diagramming, applied in over 100 U.S. community projects to capture nonlinear outcomes like sustained volunteerism increases of 20-50%. This practical integration underscored causal realism by linking verifiable first-order effects to higher-order ones, though mainstream adoption in media and advocacy often overstated universality without empirical controls for attenuation or reversal.

Modeling and Theoretical Frameworks

Mathematical Representations

The ripple effect in physical wave propagation is mathematically represented by the linear in two dimensions for small-amplitude surface disturbances: 2ηt2=c22η,\frac{\partial^2 \eta}{\partial t^2} = c^2 \nabla^2 \eta, where η(x,y,t)\eta(x, y, t) denotes the surface elevation, cc is the phase speed, and 2\nabla^2 is the Laplacian operator. This equation approximates non-dispersive waves, but ripples exhibit dispersion due to combined and effects, yielding the relation ω2=(gk+σk3/ρ)tanh(kh)\omega^2 = (gk + \sigma k^3 / \rho) \tanh(kh), with ω\omega , kk , gg (9.81 m/s²), σ\sigma (approximately 0.072 N/m for at 20°C), ρ\rho (1000 kg/m³), and hh depth. Solutions to these equations produce circular wavefronts expanding from an initial disturbance, with amplitude decaying as 1/r1/\sqrt{r}
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