Articles | Volume 10, issue 5
https://doi.org/10.5194/wes-10-907-2025
https://doi.org/10.5194/wes-10-907-2025
Review article
 | 
13 May 2025
Review article |  | 13 May 2025

The multiple understandings of wind turbine noise: reviewing scientific attempts at handling uncertainty

Julia K. Kirkegaard, Tom H. Cronin, Sophie Nyborg, and Daniel N. Frantzen
Abstract

The noise from wind turbines has been an issue in the planning and development of wind power for many years, giving rise to both controversies during the deployment of onshore wind farms and a significant amount of research by various communities of scientists or what we treat here as epistemic communities founded in engineering and acoustics engineering, psychology and medicine, and the social sciences. Despite iterative attempts at fixing the noise issue through investments in technological developments and regulatory determination of allowable decibel noise levels, noise remains a contested and difficult object to find solutions to. In the Co-Green project, we instigated a social-science-based study founded in science and technology studies (STSs) to look at why and how it is that noise continues to be so controversial. We do this through a narrative literature review of three different literatures, namely the technical, health-based, and social acceptance literatures. We trace how these literatures, founded in three different epistemic communities, have produced the knowledge object of wind turbine noise. We illustrate how noise remains a “troublesome (or `unruly') knowledge object” that defies stabilization within and between the three epistemic communities: instead, noise is understood as fundamentally different things between them, fuelling controversies over the solutions proposed, where the “fixes” might sometimes not address what was intended. We end by pointing to the potential benefits of more interdisciplinary engagement between epistemic communities as well as – in the context of science for policy – by probing the potential value of finding ways to translate qualitative research findings into noise regulations, other legislation and even the operation of wind farms.

Share
1 Introduction

The deployment of wind farms is considered by many countries to be an important activity in order to meet targets to reduce the levels of greenhouse gas emissions by the electricity sector. However, with onshore wind power still being the cheapest option, the continued efforts to install wind turbines on land are meeting sustained opposition from local communities, leading to stalled and even cancelled wind power projects (Ellis and Ferraro, 2016). This highlights the need for a better understanding of the “social grand challenge” of wind energy (Kirkegaard et al., 2023).

One of the most contested issues in onshore wind farm developments has been the “sound” emanating from wind turbines (Borch et al., 2020; Solman et al., 2023; Wind2050.dk, 2024), it being considered problematic and controversial “noise”. In other words, our interest is in how “sound” comes to be considered problematic “noise” and how the particular treatment of the “noise” issue in turn can produce contestation. The issue of wind turbine noise is a mandatory topic in an environmental impact assessment (EIA) for the planning of a wind farm and is the subject of regulations that, in many countries, are made specifically to apply to the sound from wind turbines. However, despite many of the stakeholders involved in the deployment of wind farms being bound by these regulations (e.g. municipal planners, developers, wind turbine manufacturers and environmental consultants), there continue to be many disputes around wind turbine sound. Common issues raised in the public hearing phase are concerned with how the regulations are set; the legitimacy of the noise levels that are allowed; their calculation, measurement and certification according to IEC (International Electrotechnical Commission) standards; and the potential health impacts of the noise on citizens living around wind farms (interviews, observations and public hearing responses; Haggett, 2012; Taylor and Klenk, 2018; Borch et al., 2023; Thorne, 2011; Nyborg et al., 2025; Walker et al., 2015; Solman et al., 2023; Pohl et al., 2018; Hübner et al., 2019; Dällenbach and Wüstenhagen, 2022; Wolsink and Sprengers, 1993).

These issues and their implications for wind farm development are typical of those seen in Denmark, and there has been significant funding of several research and commercial projects to resolve the issue. One example is the research study commissioned by the Danish government and conducted by the Danish Cancer Society (Poulsen et al., 2019), which involved a nation-wide analysis of the health conditions of people living in the vicinity of wind turbines, correlated with calculations of the noise levels they would experience. Another example is the construction of the Poul la Cour wind tunnel (Plct.dk, 2024) at the Technical University of Denmark's (DTU) Wind and Energy Systems department at the Risø campus, which is reputed to be one of the biggest university-owned wind tunnels in the world (Videnskab.dk, 2022), designed specifically for measurements of wind turbine aerodynamics and noise for use by scientists and industry. Finally, a third example is the organization “Viden om Vind” (“Knowledge about Wind”), supported and funded by various commercial wind farm developers in Denmark. The organization's stated aim is to provide more facts about wind energy; to inform local communities about the issue of noise, amongst other things; and to form a basis for informed dialogue amongst citizens, public authorities and politicians (https://videnomvind.dk, last access: 23 August 2023).

Central to these various undertakings is the idea of establishing facts about noise levels, universally calculated and measured using the unit of decibels (dB). Whilst there are many complex and interlinked issues regarding noise (e.g. loudness/volume, tonality, rhythmic variations (“amplitude modulation”), low-frequency noise), our research shows that almost inevitably, the issue of the noise level in decibels is one that, to a greater or lesser extent, takes hold in many different scientific and lay communities and leads us to focus on this in our paper. In the Co-Green project “Controversies in the green transition: The case of wind turbine sound and its politicisation” (see dff.dk; Independent Research Fund Denmark 2021–2024), we hypothesize that isolating noise like this through a “one-dimensional” techno-scientific metric of decibels means that the standard response to the challenges of noise and wind power in the green transition has primarily been the implementation of technological solutions to reduce the decibel level. Yet, this comes, we argue, with the risk of disregarding important non-technical, and less quantifiable, concerns and forms of knowledge that may lie at the root of social controversies about wind farm developments. In this paper, we aim to find out how noise is understood by different scientific literatures and the effects these different understandings have on the solutions to the issue of noise that they propose.

We start with a critical and historical review of the literature on wind turbine noise, where we identify three key literatures, which we have labelled as technical, health and social acceptance. We then illustrate how different understandings of wind turbine noise that are produced by the related discrete but sometimes overlapping scientific communities – based in disciplines of engineering, health and psychology, and social sciences – are not “neutral” but have material effects on what noise is perceived as and ultimately how noise issues are addressed. This finding leads us to call for enhanced awareness (or “reflexivity”) of how scientific concepts such as noise have an effect on how noise is being treated and dealt with. This may help in avoiding the creation of solutions that do not tackle the issue they were intended to solve.

With this, our analysis points to three provocative, but hopefully constructive, findings: (1) noise is understood as a very different object in the three literatures that we have reviewed. (2) Noise can be construed as a “scientific object” that defies being controlled or “pacified” and is unruly because it is not just a technical issue but also a socio-technical one. (3) Third, while the technical and health-related studies believe that they are addressing the issue of social acceptance with their work, they are in effect dealing with what they understand is a proxy for social acceptance. We end by discussing how these findings might be understood in the context of how scientific communities try to deal with uncertainty surrounding scientific objects such as noise.

Finally, we would like to highlight that this study is based on social science techniques and methods, and a secondary “meta-level” purpose of this paper is deliberately to try to make such a study relevant for a technical audience such as that of the WES (Wind Energy Science) readership. Our approach is to try to be challenging but helpful and to highlight different perspectives, ultimately hinting at the challenges of interdisciplinary considerations and the prospect of one's own research being influential far beyond what is conventionally expected (also see Kirkegaard et al., 2023, and Nyborg et al., 2025), as well as pointing to policy implications. Finally – given the scope of this review paper – we have focused on how noise in the literature is being construed as different things that require very different solutions but do not include public perceptions directly through interviews.

2 Conceptual framework

In a social science study, theory and methodology have a somewhat different position than in the technical domain. To measure sound power levels with a thermometer would be unthinkable to an engineer, but to social science scholars, their theoretical lens(es) may be used to look at both music and temperature, so to speak. It is thus essential to state the theoretical basis on which one is building, the relevant scholarly works and how they are being used, as this fundamentally informs the way in which the study is to be understood. Here, we give a short summary of the conceptual and theoretical foundation for this paper.

In this study, we build upon the literature within science and technology studies (STSs) about how scientific facts and objects are made (e.g. Latour and Woolgar, 1980; Latour, 1987; Callon, 1980; Knorr-Cetina, 1997, 1999; Collins and Evans, 2007). We do so by relying particularly on what has been treated as emergent and sometimes contested “knowledge objects” (or “epistemic objects”) created by “epistemic communities” (Knorr-Cetina, 1997, 1999).1 In our approach, we consider epistemic communities to consist of experts and their specific literatures, tools and instruments, inquiring into how different epistemic communities produce particular understandings and facts around emergent knowledge objects as well as groups of problems and solutions around the issue of noise, as already investigated with regard to noise (see e.g. Bijsterveld, 2001; Pinch and Bijsterweld, 2004; Taylor and Klenk, 2018).

From our theoretical standpoint, epistemic communities frame the issue of wind turbine noise in particular ways, with an effect on how the knowledge object is being dealt with. This framing process often entails acts of what we call purification, isolating it from other issues through compartmentalization and disentanglements. Meanwhile, stabilization of a knowledge object through purification and disentanglement – constituting it as a stabilized fact – may not always be feasible, particularly if the knowledge object produces conflicting data about itself or if purification simplifies so much so that it overlooks some of the entanglements, causing new unforeseen issues to emerge. Indeed, knowledge objects tend to remain incomplete, constantly mutating and defined as much by what they are not as by what they are and often “exist[ing] simultaneously in a variety of forms” (Knorr-Cetina, 1999, pp. 14–15).

In this paper, we investigate different attempts at stabilizing the knowledge and epistemic object of wind turbine noise by different epistemic communities, revealing that it remains an unruly epistemic object that refuses to be fixed and entirely stabilized. At the same time, we examine how the different understandings also have material impact on how the issue of noise is framed as a problem and the types of solutions that are proposed.

3 Methodology: mapping the evolution of the noise issue

Our study is based on an extensive narrative literature review (Greenhalgh et al., 2005), using scientific databases (Scopus, Web of Science (WoS) and PubMed) to search for the various storylines of tasks, problems and solutions concerning wind turbine noise with search strings developed for each community's literature (see Appendix A for examples of search strings). Based on this search, we identified three main literatures (or disciplinary “epistemic communities”) that construe wind turbine noise in particular ways: (1) “technical” (engineering and acoustics), (2) “health” (psychology and medicine) and (3) “social acceptance” (social science). We acknowledge that our analysis presents these three epistemic communities as somewhat separate “ideal types”, but we also recognize that there are overlapping interests and engagement. For instance, we have identified attempts at establishing cross-disciplinary collaborations between the technical and health-based communities, and sometimes the literatures refer to each other's work, using it as legitimization for their own research (Nyborg et al., 2025).

Based on our literature reading, we categorized the different understandings of noise by tracing the following aspects: (1) historical background (the study of noise), (2) how noise is understood (how it is “seen”, what it is and how it is disentangled), (3) how noise is found (and with what tools, techniques, instruments), and (4) how it is being treated or solved (what tools, techniques, instruments).

In order to corroborate our understanding of how the epistemic object of wind turbine noise has evolved over time, we supported our findings from the review with a total of 12 recorded and transcribed interviews with representatives from the three epistemic communities plus an expert in noise regulations and standards. That is to say that, while the literature review attuned us to how the epistemic object of wind turbine noise has emerged historically, our emergent interpretations were cross-checked and triangulated by experts in the field. Interviewees were found through the snowballing method (see Appendix B for a list of anonymized interviews). During the interviews, we used a visual timeline of events that was customized to each interview situation. This allowed us to corroborate our understanding of milestone events in the historical development of noise as a field of study. (See example of timeline used in interviews in Appendix C.) A third source of data came from participant observations at the Wind Turbine Noise conference in 2021 (online, INCE, 2021) and participation in person at the 2023 version of this conference in Dublin, Ireland (INCE, 2023). Further observations were made at project meetings of the International Energy Agency's (IEA) Task 39 on “Quiet Wind Turbine Technology” and during a noise measurement campaign in Jutland, Denmark, conducted by DTU engineers (https://iea-wind.org, last access: 24 June 2023). These interviews and observations helped to inform, qualify and test our analysis that resulted from the literature review, but given the scope of the paper, we have only included direct quotes from interviews and observations in this paper.

4 Attempts at taming the unruly object of wind turbine noise

Our analysis maps out how the three epistemic communities (technical, health and social acceptance) have understood the subject of noise and how they have attempted to “tame” it. We do this by looking at four aspects, namely (1) the historical background of each community's research, which has led to (2) an understanding of how they view and understand noise and try to isolate it in their studies. We have also studied (3) what manner of tools and techniques they use to identify noise and finally (4) how they formulate the issue, how they treat it and if relevant how they try to solve the noise problem. We thus get a picture of how each epistemic community attempts to make sense of a phenomenon that evidently has attracted attention not only from researchers and practitioners in the field, but also from policymakers and local communities and beyond.

4.1 Noise in the technical community

4.1.1 How is sound understood?

In our analysis, the technical epistemic community encompasses engineering, acoustics and natural sciences and primarily works with the design, manufacturing, installation or operation of wind turbines. As an object of inquiry, the study of noise involves the examination of the generation and propagation of the sound itself. Sound and noise are measured in the same acoustic unit, i.e. the decibel (or dB), that was originally coined for audio levels in telephone cables back in the early 1900s (Garret 2020, p. 466, about Bell Labs). A sound is characterized by the various frequencies (pitch) and amplitudes (volume) of the vibrations, which can vary widely both in pitch, from below audible (infrasound) and above audible (ultrasound), and in volume, from barely audible to painful. As the human ear is not equally sensitive to all frequencies (first measured by Fletcher and Munson, 1933), a method of averaging (or weighting scale) has been developed and is now governed by the international standard ISO 226 (International Standardization Organization). Although the so-called A weighting (dB(A)) inevitably masks the individual frequencies of the original sound and attenuates certain frequencies, it is by far the most commonly used metric. It should be noted that commonly used measurement instruments sample, filter and integrate over a sampling period to obtain a single dB(A) value. This is done because it has been historically difficult to measure and record all individual frequencies instantaneously; however, with new techniques other qualities of wind turbine noise (such as amplitude modulation) could be combined into a different metric that is not otherwise captured by dB(A) (IEA Task 39). Looking at how the technical community has approached the understanding of noise, it can be seen that an average sound value is not the only technical issue relevant for research. Research in tonality, cumulative effects, and low-frequency and impulse issues is being carried out (Hansen and Hansen, 2020), but the prominence of the dB(A) metric in the IEC 61400-11 standards and various national regulations for environmental sound limits means that it featured heavily in our inquiry.

4.1.2 From sound to noise

When propagating and travelling to our ears, sound is transmitted as pressure variations in the air, causing the vibration of the human ear drum, which in turn is translated into impulses that the brain perceives as sound (Gunther, 2012, p. 306). Pure sound (e.g. a musical note where air particles vibrate in a neat, regular and predictable, and thus calculable, fashion) is thereby a very tangible and physical phenomenon. The vibrations are always depicted graphically by waves, much the same as electricity, and something that can relatively easily be shown to “obey” the natural laws of wave physics such as superposition (Gunther, 2012, p. 205).

It is when sound vibrations become uncontrollable and unpredictable that sound is referred to not as musical but as noise in the technical epistemic community: “Although noises are sometimes not entirely unmusical, and notes are usually not quite free from noise, there is no difficulty in recognizing which of the two is the simpler phenomenon. There is a certain smoothness and continuity about the musical note” (Rayleigh, 1945, p. 4). In contrast to pure sound, noise is more difficult to simulate and calculate: while noise still obeys the laws of physics, it is difficult to demonstrate through equations and calculations that it does so, as it “does not so easily yield to conventional mathematical analysis” (Garret, 2020, p. 26). In general, noise is thus considered a sound that is unwanted, is not useful or indicates that something is wrong, and the physics of air particles reflects this (Lee and White, 1998).

4.1.3 Noise from wind turbines: reducing noise levels while maximizing production

The noise emanating from a turbine is mostly aerodynamic noise, i.e. air flowing over the blades resulting in turbulence and rapid vibration of air particles (Wagner et al., 1996). The design of a wind turbine blade has historically concentrated on optimizing power production and is key to this epistemic community, but these blade design considerations are entangled with questions around noise. The principal fundamentals of air flowing over the blades of a wind turbine go back to the 1920s with research in the aviation industry because of the similar requirements of an aircraft wing needing the force of lift to keep the aircraft flying up in the air and the need for the force of torque to turn the rotor of a wind turbine. So, when wind turbine blade design development started in the 1970s, the research topic of aerofoil design was already established (Bak, 2021). Particularly important reference work was carried out by NASA in the 1950s, which produced a catalogue of aerofoil designs, each tested in their wind tunnel (Abbott and von Doenhoff, 1959). The reasons for the aircraft designers and wind turbine designers being interested in aerofoil design are similar: efficiency of the air flowing over the aerofoil. The more efficient an aircraft wing is, the more lift force is generated to keep it in the air, and the more efficient a wind turbine blade is, the more torque is generated to turn the rotor and the more energy can be extracted from the kinetic energy of the wind and converted into electrical energy. This is the energy that is then sold to produce revenue for the wind turbine owner.

However, whilst noise from aircraft is mostly from the engines, noise from wind turbines is an important constraint in wind turbine blade design. Much of the engineering drive for working on wind turbine noise and its reduction is the belief that the public's perspective on sound is “annoying noise” (Deshmukh et al., 2018). Work by Pedersen and Waye (2004) is often quoted relating perception and annoyance due to wind turbine noise (see Sect. 4.2 “Noise in the health community”) and stating that a reduction in the noise level (the dose) at the human ear is a desirable goal as “noise is one of the major hindrances in the development of wind power industry” (Dai et al., 2015) as people “experience annoyance” when they live in the vicinity of wind turbines. Indeed, research by acousticians using listening tests and “idealised wind turbine sounds” (von Hünerbein, 2010) has tried to establish “audibility thresholds and equal annoyance contours” in order to quantify an impact.

However, a reduction in noise generation often comes at a price: a reduction in power produced (Wagner et al., 1996, p. 164). Thus, work on reducing noise must always be balanced with minimizing any reduction in performance so that the energy production and the revenue from selling it are maintained. The strong belief of the technical epistemic community in the ability of finding a technical solution to reach such an optimum – fixing the noise issue – is reflected in the following quote: “In order to maximize energy output while complying with noise regulations, wind turbine manufacturers will continue to implement new noise reduction technologies in their products. In this way, the cost of wind power can be reduced while addressing societal concerns” (Oerlemans, 2021).

4.1.4 Noise generation, propagation, and influence on turbine design and wind farm planning

Ultimately, the work by this epistemic community centres around predicting and measuring the noise level in dB(A) at a certain point on or away from the turbine. There are fundamentally two main areas of focus, the first concentrating on how and how much noise is generated and the second on how it propagates through the atmosphere and is received (Wagner et al., 1996, p. 10).

The aerodynamics of the blades have been a consistent object of research for noise generation research. When the airflow passes over the wind turbine blade “at the trailing edge”, it becomes turbulent (unruly), producing a scattering mechanism which makes up the main part of aerofoil noise (Wagner et al., 1996, p. 67). In terms of the shape of the aerofoil, various “fixes” or adaptations have been applied, such as trailing edge serrations (or “dinotails”) in order to reduce the noise from the back edge of turbine blades (Fuglsang and Oerlemans, 2012). With these devices, typically, noise reductions of about 2–3 dB in overall A-weighted sound levels have been achieved, even if the exact mechanism is not yet understood and is still today the subject of wind tunnel testing (e.g. Ryi et al., 2014).

Another aspect of noise reduction has centred around the turbine's control system where designers can adjust the speed of rotation, together with the angle (pitch) of the blades, so as to control the noise emission of a turbine. “The objective for the low-noise controller is therefore to design optimized RPM (rotations per minute) and pitch curves, which maximize the turbine power at each wind speed within the constraints for noise, torque, etc.” (Oerlemans, 2021, p. 9).

Noise propagation research has focussed on being better able to predict the volume of the noise at a particular location after it has propagated in the far field (Wagner et al., 1996, p. 125). Yet, as expressed in one of our interviews, it remains a technical challenge to develop models that can “predict in a far field, and I mean it's a big subject for, to predict noise in a long distance because you are looking at noise levels which are very close to the background noise” (Appendix B, interview 1). When measuring the noise propagating from a wind turbine, there is complex acoustical work needed to isolate the noise from the background noise (e.g. trees and vegetation, traffic, birds). Furthermore, there are other situational factors that mean that modelling the propagation of noise is heavily dependent on other factors than just the noise output of the turbine. Effects of, for example, the landscape terrain, wind shear (differing wind speeds and direction with height), weather conditions, and daytime vs. nighttime can all make sound variable and behave unpredictably (Hansen and Hansen, 2020). Even though these measurement methods are prescribed by international standards (IEC 61400-11, 2016), measurement campaigns in the field are a cumbersome task that are dependent on weather conditions, background conditions and subsequent treatment of the data to make them useful (Wagner et al., 1996, p. 152).

The research on noise generation is mainly used in the design of wind turbines, involving disciplines from acoustical engineering to aerodynamic and structural as well as control system engineering. On the other hand, the results from models developed by far field propagation research are often used to create noise contour maps (see Fig. 1). These maps show lines of predicted equal noise levels, often featuring the regulatory noise limits that are applicable in an area around a prospective wind farm. These very visual means of representing noise are a key feature in environmental impact assessments (EIAs) carried out during the planning of wind farm projects.

https://wes.copernicus.org/articles/10/907/2025/wes-10-907-2025-f01

Figure 1Example of a noise contour map (from Tjørneby wind farm EIA, 2011).

4.2 Noise in the health community

The health-based epistemic community is based upon the premise that high levels or certain types of sound can have an adverse impact on people's health and well-being. This field is characterized by a variety of scientific disciplines, ranging from acoustics, natural sciences and environmental medicine to environmental psychology.

4.2.1 The rise of environmental noise and the emergence of (noise) annoyance as a risk

The study of the relationship between infrastructure developments and health can be traced back to around the beginning of the 20th century when noise figured as one amongst many environmental hazards or risks. In a study from 1910, the impacts of noise on the work efficiency of industrial workers were observed for the first time (Wynne, 1930). Since the 1960s, “risk” studies (Kasperson et al., 1988), considering noise in the environment as a health concern (and risk), have become established as a field in itself (foreword, ICBEN, 1973). Importantly, health is defined not just as a matter of absence of disease but a matter of complete physical, mental and social well-being (WHO, 1946). Therefore, the World Health Organization (WHO) considers (noise) annoyance as the health issue resulting from noise exposure, along with, for example, sleep disturbance, mental health, diabetes and heart disease (WHO, 2018). Annoyance is one of the most prevalent health effects of noise (Guski et al., 2017) but is moreover hypothesized to mediate a range of other “physical” health effects (e.g. stress, anxiety, sleep disturbance, and metabolic and cardiovascular disease) (WHO, 2018; Van Kamp and Van den Berg, 2018, 2021, Michaud et al., 2016a; Taylor and Klenk, 2018). While traffic, industry and “neighbourhood noise”, for instance, have been investigated since at least the 1950s (Stevens et al., 1955), the health impact of wind turbine noise has only been an issue in the last decades (WHO, 2018; Pedersen and Waye, 2004). Annoyance, though, continuously comes forward as the most important health consequence of wind turbine sound (Van Kamp and Van den Berg, 2021).

Low-frequency sound and infrasound from wind turbines are also a topic of public and political concern, with concerns that these lower, inaudible sound frequencies may lead to other health effects than those from audible sounds, such as the “wind turbine syndrome” caused by vibroacoustic disease (VAD) (vibration of the body, nausea or dizziness). However, there is no evidence that these lower frequencies have any health effects or that they lead to extra annoyance (Van Kamp and Van den Berg, 2021).

This epistemic community focuses on self-reported health effects (e.g. annoyance, stress or sleep disruption) in survey studies as well as in laboratory experiments (e.g. Müller et al., 2023; Hübner et al., 2019; Boorsma and Schepers, 2017), which also include objective measurements of bodily reactions, for instance polysomnography to detect sleep disturbance. Epidemiological studies on the population include self-reported health effects in surveys, but a couple of studies also use more objective data. The Canadian Community Noise and Health Study by Michaud et al. (2016b), for instance, used hair cortisol concentrations to complement self-reported data. The Danish health study on the health impacts of wind turbine noise (Poulsen et al., 2019) used wind turbine location data and modelled noise levels together with medical register data in order to study the relationship between wind turbine noise and a range of medical conditions on the population.

4.2.2 The visibility of the dose–response graph and impact on planning

The method of modelling the relationship between a sound dose (in dB(A)) and health response, as well as basing research on standardized methods to allow meta-analysis and modelling, is pervasive in the health epistemic community. The modelling of dose–response relations and predicting the health impact have a long history and have proven to be key in providing science-based policy advice and in underpinning regulation.

A formative study in the 1950s by Stevens et al. (1955, p. 64) developed the “composite noise rating” approach whereby people's reaction to noise could be predicted to set a “realistic criterion” or limit for neighbourhood noise. This was based on the recognition that levels, or doses, of noise – measured in decibels (dB) – could elicit a certain human response way below that which can damage hearing, namely influencing the well-being and health of the general public. However, annoyance studies today build on a seminal paper on noise annoyance published in 1978 by Theodor Schultz (Schultz, 1978). He developed a model which rested on the conviction that both the noise dose and the response can be standardized, quantified and plotted in a graph that shows visually the particular relation between sound dose and response (“% highly annoyed”) for different noise sources.

The dose–response model emerged from the need for a useful model for planning, regulation and policy, the raison d'être for the health-based epistemic community: in 1978, the hitherto limited agency of science to produce “facts” for policy and planning was problematized by Paul Borsky (Columbia University). In a paper presented at an environmental noise conference, Borsky argued that the “lack of agreement on standardized units of measurement and comparable methods for obtaining and analysing objective data” in the scientific community was one of the main reasons “why community noise abatement has made such slow progress” (Borsky, 1978, p. 453).

To overcome this seeming lack of influence on policy, Schultz's overarching aim with his dose–response paradigm, which was supported in part by the US Department of Housing and Urban Development (Schultz, 1978, p. 403), was to find a stable model that could better inform policymaking on land use and planning and offer “guidance for regulatory decisions about noise” (1978, p. 403; also see Fidell, 2003; Miedema and Vos, 1998, p. 3434). To do so, Schultz changed the main metric from median response (resembling an “average response” of a community), which was the common approach at the time, to “percent highly annoyed” plotted against noise exposure. The argument was that this approach would provide a more stable (universal) model, since “the median response is much more difficult to translate from one annoyance scale to another, in everyday terms that are understood by politicians and policy makers” (Schultz, 1978, p. 379). Moreover, if the person was highly annoyed, he hypothesized the response would be strongly correlated to the sound itself, providing a more “useful indication of acceptable community noise exposure” (Schultz, 1978, p. 379). Moreover, without providing further evidence, Schultz (1978, p. 389) commented that restricting the percentage of the population being “highly annoyed” to 10 % would be a “desirable condition”. Noise limits should in other words meet that target. Pedersen and Waye (2004) conducted the first – and now seminal – annoyance dose–response study for wind energy in 2004 to explore “acceptable exposure levels”.

There is clearly a need for field studies to investigate the impact of wind turbines on people living in their vicinity and to further explore the presence of disturbances. In particular, dose–response relationships should be investigated to achieve a more precise knowledge of acceptable exposure levels. (Pedersen and Waye, 2004, p. 3461)

They concluded that wind turbine noise is a particularly annoying noise source, as, despite lower doses, it produced higher annoyance rates than other noise sources at the same dose level (see Fig. 2). The idea that different types of noise sources (aircraft, road traffic, train, etc.) would result in varying degrees of annoyance at similar noise levels was already put forward by Miedema and Vos (1998). Such comparative studies on different noise sources have helped to demonstrate that wind turbine noise may have particularly annoying characteristics (e.g. the “swishing” or “thumping” sound, technically referred to as amplitude modulation) that can be perceived at “low dose levels” but which are not often captured by the measuring methodology in regulation (Janssen et al., 2011; Haggett, 2012).

https://wes.copernicus.org/articles/10/907/2025/wes-10-907-2025-f02

Figure 2Pedersen and Waye's (2004, p. 3468) dose–response model.

A 10 % highly annoyed limit for wind turbine noise that Schultz argued for figures today in the recent WHO Noise Guidelines for the European Region (2018), which aim to “provide robust public health advice underpinned by evidence which is essential to drive policy action that will protect communities from the adverse effects of noise” and to “provide policy guidance to Member States that is compatible with the noise indicators used in the EU's Environmental Noise Directive” (WHO, 2018, VII). Their conditional recommendation of a noise limit for turbines of 45 dB(A) (day–evening–night-weighted) meets the 10 % highly annoyed limit.

The dose–response graphs and the scientific legitimacy it visualizes furthermore emerge in the regimes of national planning and regulation. For instance, in the Danish case, the impact of the noise limit of 44 dB(A) is explained on the Danish Environmental Agency website as being “expected to be experienced as highly annoying for 11 % of those who are subjected to it” (mst.dk, 2022).

4.2.3 Noise (annoyance) as an unruly epistemic object

Despite the development of comparable metrics to produce facts on health effects from wind turbine noise, annoyance continues to constitute a “conundrum” or “unruly epistemic object”. As has been noted repeatedly almost since the beginning of the study of environmental noise, the sound level itself is often not the main cause of the annoyance reported. In other words, the “annoyance from a sound is not inextricably bound up with that sound” (Van Kemp and Van den Berg, 2018, p. 52). This implies that noise levels rather play only a modest role in the annoyance response (e.g. Van Kemp and Van den Berg, 2021; Schultz, 1978, p. 378).

To better understand the particularly annoying nature of wind turbine noise, it has become increasingly recognized in the health-based epistemic community that the special sound characteristics of wind turbine noise (e.g. amplitude modulation), and notably “non-acoustic factors”, matter. Indeed, it has been estimated that “non-acoustic factors may explain up to 33 % of the variance” in noise annoyance studies (Guski et al., 1999). Accordingly, “reducing the impact of wind turbine sound will profit from considering other aspects associated with annoyance” (Van Kamp and Van den Berg, 2021, p. 25), i.e. a range of contextual and personal factors in addition to actual sound exposure levels. These are things such as visual aspects and demographics, as well as personal, social, political and economic aspects (Van Kamp and Van den Berg, 2021, p. 16). Some of these non-acoustical factors were identified in the social acceptance literature (Wolsink et al., 1993) (see Sect. 4.3 “Noise in the social acceptance community”). To account for these variations in the parameter – “polluting” the dose–response calculations – other metrics for annoyance have also been presented, for example, “aggregated annoyance” in the CNHS study (Michaud et al., 2016a), which attempts to take non-acoustic aspects into account.

The often personal and contextual non-acoustic factors that are less quantifiable and calculable have continued to produce uncertainty in the interpretation of the dose–response graphs. They have limited the graphs' ability to provide noise limit guidance across very different local community settings, as different communities' annoyance levels vary widely despite being exposed to the same noise levels (e.g. Michaud et al., 2016b). This uncertainty also leads to debates in the health community about the logic of the “10 % highly annoyed rule” to set a unitary noise level limit (dB(A) number), as the percentage of those people who are highly annoyed changes across studies and over time, i.e. with the evidence base (INCE, 2021).

Another key example of inconclusive attempts at taming the unruly nature of the epistemic object of wind turbine noise is the publications that came out of the Danish health study on wind turbine noise (e.g. Poulsen et al., 2018). Funded by the Danish government with high hopes that the study could provide “objective proof” on (the lack of) health impacts (cardiovascular disease and other diseases related to stress and sleep deprivation), the study was in the end unable to establish with certainty whether there were or there were not health effects from wind turbine noise, and the researchers behind the study recommended further research (Danish Agency of Public Health (Sundhedsstyrelsen), 2019; Poulsen et al., 2019). Thus, in a sense, the cancer study has produced evidence, or rather “arguments”, for both proponents of and opponents to wind power, sparking even more controversy.

4.3 Noise in the social acceptance community

Social science scholars in the field of social acceptance of renewable energy technologies (e.g. Batel, 2020; Ellis and Ferraro, 2016; Wüstenhagen et al., 2007) have also dealt with wind turbine noise. This epistemic community centres on acceptance as the social mediator for implementing renewable technologies and aims at highlighting the biggest obstacles and opportunities for achieving this acceptance. We unfold below how noise has been treated as an obstacle for acceptance in this field.

4.3.1 The dose–response effect in social acceptance

Within social acceptance, noise is never studied in isolation. Instead, several different factors that might influence acceptance are studied together often using surveys. When noise is considered in these surveys, the previously described dose–response studies and the linked concept of noise annoyance often act as a considerable source of inspiration. Several articles in the field refer directly back to the pivotal dose–response study conducted by Pedersen and Waye (2004) as a way of signalling the special character of wind turbine sound and its potential impact on acceptance (e.g. Cashmore et al., 2019, p. 1113; Haggett, 2012; Hill and Knott, 2010, p. 157; Walker et al., 2015, p. 359). When conducting surveys on residents' perceptions of turbines, the social acceptance literature often also mimics the questionnaires of dose–response studies by asking about noise annoyance (Baxter et al., 2013; Brudermann et al., 2019; Frantál et al., 2017; Wolsink et al., 1993). While the concept of noise annoyance dominates, other ways of asking about noise in surveys do occur (see e.g. Dällenbach and Wüstenhagen 2022, p. 4f; Kontogianni et al., 2014, p. 174). It should also be noted that there have been a few attempts at grasping the relations between noise and acceptance qualitatively where reactions to noise are understood as socially experienced and culturally contingent (Eun-Sung Kim and Chung, 2019; Eun-Sung Kim et al., 2018; Haggett, 2012; Batel and Devine-Wright, 2021). Yet, such qualitative approaches have not gained a lot of traction in the social-acceptance-based epistemic community with regard to the issue of noise.

4.3.2 The relationship between noise and visual aspects

Since the earliest surveys on the local acceptance of wind turbines, two factors have stood out as being especially influential on acceptance: the visual or landscape impact and the noise (see e.g. Bosley and Bosley, 1988; Pasqualetti and Butler, 1987). Yet, over time a consensus that visual or landscape factors are more influential on acceptance than noise has developed (Wolsink, 2007a, b). This argument especially dates back to a study conducted by Wolsink et al. (1993) in the early 1990s that only found a weak relationship between sound pressure levels and noise annoyance. On the other hand, the researchers found that the degree of visual intrusion was affecting the level of noise annoyance considerably (Wolsink et al., 1993; Wolsink and Sprengers, 1993). That visual factors are dominating aural factors in determining local acceptance was further backed by Wolsink (2000) in a highly cited study. Through a combination of factor analysis and linear regression, this study showed that resistance toward specific wind turbines is most affected by the general attitude towards wind energy followed by the visual assessment of turbines. It was also found that noise had a significant yet smaller impact on resistance. Further, it was found that the visual factor had an indirect effect on resistance by greatly influencing the general attitude towards wind energy, while noise had no significant impact on this (Wolsink, 2000, p. 54f).

4.3.3 Other factors mediating between noise and acceptance

Apart from the wind turbines' fit with the landscape, matters of justice are also regularly highlighted as important for local acceptance – both in terms of how costs and benefits are shared (distributional justice) and in terms of the fairness of the planning and decision-making process (procedural justice) (Wüstenhagen et al., 2007, p. 2685). Among studies focusing on fairness of planning, relations to noise annoyance have also been identified: for instance, several authors have pointed out that noise annoyance is less prevalent among those who benefit economically from wind turbines (Janssen et al., 2011; Tabassum et al., 2014, p. 276). Further, a comparative study across the USA and Europe found that perceptions of the fairness of the planning process and whether the planning process was experienced as stressful or not had some effect on the noise annoyance once the wind farms were in operation (Hübner et al., 2019; Pohl et al., 2018). Dällenbach and Wüstenhagen (2022) hypothesized that local noise concerns would peak just beyond the borders of the municipality where a wind farm under study was planned due to the lack of inclusion of residents of neighbouring municipalities in the planning processes. Though their results were mixed, the authors found some indications of this tendency, and they suggested that thinking about procedural and distributional justice is key for the acceptance of wind farms (Dällenbach and Wüstenhagen, 2022, p. 9ff).

4.3.4 Noise as a proxy for other concerns

Given that noise annoyance seems to be highly influenced by both visual and justice aspects, noise annoyance's effect on acceptance may be nothing more than a spurious relationship. Yet, this makes it all the more puzzling that noise is often among the most frequently debated issues in controversies over local wind farms. A common explanation of this in the literature is that in most planning systems it is easier to complain about noise than landscape aspects or procedural justice. Hence, noise complaints function as a proxy for other concerns (Hill and Knott, 2010, p. 167; van der Horst, 2007, p. 2711; Wolsink, 1989, p. 12; Wolsink, 2000, p. 56).

4.3.5 Noise pollution polluted by other nuisances – noise as a social issue

It is a point in itself that this section started with noise annoyance but ends with other nuisances such as visual or landscape annoyance and stress from the planning process: within the social acceptance epistemic community, the dose–response relationship between wind turbine noise and noise annoyance has undergone several re-examinations, adding social complexity to the context in which people experience noise annoyance.

Adding this complexity changes the flavour of noise annoyance: where it is framed as a technical or health issue in other epistemic communities, noise here becomes a social issue relating to the organization of the planning process and the landscape impact affecting aesthetics and place identities. Overall, the social acceptance literature moves away from a direct relationship between noise as sound pressure and annoyance, which complicates the established relations between dose and response in the epistemic community of health.

5 Discussion

Here, we distil our findings and discuss what we consider to be the implications in light of this study. It is clear from our analysis that the three epistemic communities understand and treat noise as different things. Table 1 summarizes the different understandings by distilling the following aspects: (1) historical background of the study of noise, (2) the understanding of noise, (3) methods of detection and measurement, and (4) solutions presented to try to address the issue of noise.

Table 1Summarizing the many understandings of noise.

Download Print Version | Download XLSX

The table shows that, in short, not only is noise not understood as the same thing, but it is not the same thing across the three communities; instead, the different understandings construe and treat noise as different things, revealing it as a variable and contested “thing” that appears to defy a straightforward “solution”. One way we have tried to show this is in Fig. 3, which reveals how noise is a slippery and unruly construct that undergoes a curious shift – mutation (Knorr-Cetina, 1999) – across the different epistemic communities: even though it is “noise” that is ostensibly the object of inquiry in all three, the knowledge object of noise exists, we show, in a variety of (simultaneous) forms, also enabling the binding together of collectives such as epistemic communities (Knorr-Cetina, 1999, p. 16) in different ways.

https://wes.copernicus.org/articles/10/907/2025/wes-10-907-2025-f03

Figure 3Shifting dependent–independent variables in the understanding of noise (map from Hevring Ådal wind farm; EIA, 2012).

First, in the technical epistemic community, noise is sound pressure levels measured using the dB(A) scale. In our manner of analysis, we can say that this makes the dB(A) level the dependent variable and the problem to be “fixed”. By reducing the problem to a measurable metric such as dB(A), the primary solution (in our analysis, the independent variable) has been the introduction of various technical fixes that can reduce the noise level (e.g. dinotails) such that the distance to the required noise level contour is less than to citizens' properties.

Second, and moving on to the health-based epistemic community, noise is (measured through and translated into) annoyance levels (% highly annoyed people). That is to say that, construed as a dependent variable, annoyance is a product of the dB(A) level (sorted and purified from “non-acoustic factors”), which means that the solution becomes associated with a reduction in dB(A) levels through influencing noise regulations to take people's health (annoyance) into account.

Finally, in the social acceptance epistemic community, noise becomes one of several independent variables for determining the level of social acceptance that is the dependent variable of this community. With inspiration from the health epistemic community, noise is often operationalized as noise annoyance that can be asked about in surveys. Researchers in this field rarely have the tools to measure or calculate noise doses in dB(A), and hence dB(A) levels tend to fade from their analysis.

Through this analysis above, it becomes clear that, while the three communities are all studying “noise”, the challenge is that noise is not the same thing to each of them. It is interesting to reflect on how noise seems to shift in quality as it travels between the technical, health and social acceptance communities. Thus, if noise is not the same thing, then the issue surrounding noise will be different, and the approach and solutions will also be different. What is problematic is that because of the curious shift that noise undergoes, the technical community thinks that by reducing the noise level in dB(A), then they are addressing the issue of social acceptance. What they really are addressing is a highly isolated and technical issue of how to reduce the volume of noise, but its relation to social acceptance is a complex and entangled path. Similarly, the health community thinks that they are addressing the issue of social acceptance via the proxy for annoyance. However, the understandable inability to meaningfully encompass non-acoustical factors and the adherence to the dB(A) metric means that they tend to be addressing the needs of regulation rather than being able to respond to peoples' concerns about living in the proximity of wind farms.

Why might this be the case and what could be done to move forward?

5.1 Dealing with scientific uncertainty

In this final part of the paper, we would like to present some considerations that result from our approach to this study and to shed some light on why we are where we are with the issue of wind turbine noise. We believe that the different ways of handling and treating the somewhat unruly nature of noise across the three communities can be related to the role of uncertainty in science. It is clear that there is continuous and considerable work to distil and compartmentalize the noise issue into either the metric of dB(A) or the metric of annoyance levels. From our perspective, this reflects attempts at stabilizing the uncertain into quantifiable “risks”, i.e. construing unruly noise as a governable agreed-upon (framed) object of inquiry. Of the three epistemic communities, the technical community seems to be the most uncomfortable with uncertainty, with repeated attempts to solve the noise issue quantitatively and relating solely to acoustic factors. The health-based community, in turn, acknowledges, to some extent, uncertainty, e.g. by using survey methods and a statistical approach (“percentage of highly annoyed”). Furthermore, there is a growing appreciation of the role of non-acoustic factors, although they are difficult to handle and complicate the rather clear dose–response models. The social acceptance community, however, appears the most comfortable with uncertainty, recognizing that the context of the issue is of primary importance and that it is impossible and, indeed, undesirable to disentangle it from other factors; i.e. here acoustic and non-acoustic factors are entwined.

We can now return to the somewhat paradoxical situation we outlined in the Introduction, whereby significant investments are still being made in quantifying and reducing the sound “dose” (e.g. the Poul la Cour wind tunnel) when the epistemic communities around social acceptance and health have been saying for years that it is not the absolute sound level that determines people's responses to noise (Taylor and Klenk, 2018; Müller et al., 2023; Thorne, 2011). How did we get here? Would it not be reasonable for these communities to work together so that maybe these investments could be better aligned?

The continued impetus on noise levels and the dB(A) metric in the technical and health-based communities may be best explained by their epistemic history (see Nyborg et al., 2025) or what has been referred to as the relational effect of institutional and spatial arrangements that “stick” and make it hard to do things otherwise (Eyal, 2013). That is to say that both the technical and health-based epistemic communities have historically been closely related to informing policies, regulations and standards on noise limits such as the ISO standard for noise, IEC standards and national regulations. They have, over time, gained agency to impact policies and regulations through the power of their numbers and the quantification and handling of uncertainty. Noise regulation, by nature, relies on “scientific facts” and tries to set a more or less measurable limit below which it is most likely that people are protected, as regulations and standards are there to set the frame for industrial development while not harming public health.

With this historical background in mind, we recommend that future studies should look into issues of the agency of different epistemic communities to impact policy and regulation and the role of their devices, such as the powerful role that the dose–response model has had on impacting policymaking in the case of noise. Through this, the lack of the voice of the social acceptance community in informing policymakers can be explored, with the realization that their broader attention to matters other than noise level limits (e.g. visual impact, fairness and justice) cannot be, and also have value in not being, distilled down to the dB(A) metric and that uncertainty is a valuable attribute of the contextual nature of wind power development.

We thus return to the central premise of the Co-Green project, also outlined in the Introduction, as a way to suggest how to move forward. In Co-Green, we have coined the perspective of “technification”, i.e. reducing and taming the issue of noise into measurable and technical solutions. Our research indicates that this very exclusion of less measurable attributes in the technification process can, at times, cause a backlash, stirring up controversy just like, for example, the Danish heath study on wind turbine noise mentioned earlier did not “tame” the issue but enhanced (and disappointed) expectations of enhanced public engagement and expectations of bringing scientific certainty. Indeed, scholars in the field of STSs (e.g. Latour, 1987, 2005; Callon, 1980; Callon et al., 2009) have often highlighted that trying to solve controversies by providing more techno-scientific knowledge about an issue is often counter-productive and can even spark more controversy. Our call here, therefore, is for a more nuanced engagement between the scientific communities, which could present a means to better account for the more “uncertain” qualitative issues of noise, potentially providing a basis for more balanced scientific policy and regulation input. We are fully aware, though, that this is no easy task: our study here indicates how the different understandings of noise can make such interdisciplinary dialogue difficult (see Nyborg et al., 2025). We still, though, encourage enhanced reflexivity over how noise and the uncertainty associated with noise are not just there a priori but are construed by epistemic communities and made through their respective tools and devices. With this awareness of each other's epistemic history, our hope is that this paper can positively contribute to a more informed interdisciplinary dialogue.

6 Conclusion

In our study we set out to explore the question of how noise is understood by different by different scientific literatures and the effects these different understandings have on the solutions to the issue of noise that they propose. Based on our narrative review, this paper gives an account of how wind turbine noise over time has been construed as different epistemic objects by three different epistemic communities (technical, health and social acceptance). Our analysis has shown that, as a consequence, “the problem” of wind turbine noise has been construed differently, leading to solutions that maybe address something different than how “acceptable” people consider wind turbine noise to be.

Whilst this finding is not necessarily revolutionary from a social science perspective (e.g. Mol, 1998; Knorr-Cetina, 1997, 1999; Latour, 2005), the issue of noise from wind turbines is a highly relevant and rich case. It is therefore worth summarizing the communities' understandings here to crystallize their differences: for the technical community, noise is something that can be measured and modelled, with the expectation that its impact on people can be encapsulated in a quantifiable estimate of dB(A). Hereby, there is the assumption that by quantifying and reducing the noise level, the risk of opposition to wind energy as well as revenue loss is reduced. For the health community, a statistical approach translates the noise dB(A) level into the risk of a certain percentage of highly annoyed people, enabling the setting of a limit that can be relied upon for informing policy and regulation, as well as providing a quantifiable threshold below which the risk of adverse health effects is reduced to an acceptable level. Finally, for social acceptance, noise is just one feature of the complexity of the issue of wind power development. Noise, visual impacts, procedural fairness, etc. are all entangled, and the complexity is something that is not quantifiable but considered something that can usefully inform research.

We have also teased out the issue of the approach to noise of these communities, seen through the perspective of handling uncertainty, which has led us to explore the issue of the continued funding in quantifying and reducing the noise level when there are significant voices that question whether it is the noise level that determines people's responses to the issue of wind turbine noise. In many ways, our research shows that this continued focus on the technification of noise may well be the reason why it continues to be a difficult issue to resolve and why it still causes controversy despite the considerable investments made in trying to tame it.

We thus conclude with a call for two further avenues of research and study to move forward on the issue of controversy over wind turbine noise. The first is to use this newly uncovered reflexivity about the multiple understandings and uncertainties of noise to provide a stronger basis for interdisciplinary engagement and research between the three epistemic communities, to clarify how the issue of noise is being problematized, and thus to align efforts as to how to solve it. We believe that this could well bear fruit not only for research and design but also for other audiences, such as wind farm operators. The second is a call for exploring the roles of the models and devices that are used by the communities to inform policy and regulation. This effort should focus on how scientific communities that do not work with quantifiable aspects of wind energy can usefully play a role in framing the issue of promoting complexity and an understanding of uncertainty in science-based regulation whilst at the same time retaining the ability of technical innovations (such as frequency and time-dependent limits) to influence legislation.

Appendix A: Search strings used for literature review

Databases searched: WoS, Scopus and PubMed.

A1 Technical perspective

((“wind turbine*”) OR (“windmill”) OR (“wind farm”) OR (“wind energ*”) OR (“wind power”)) AND (noise OR sound)) AND (source OR generation OR mitigation OR propagation OR modelling OR measurement OR tonality OR “amplitude modulation” OR “low frequency” OR “infra sound”)

A2 Regulatory literature

((“wind turbine*”) OR (“windmill”) OR (“wind farm”) OR (“wind park”) OR (“wind energ*”) OR (“wind power”)) AND ((noise) OR (sound))) AND ((regulat*) OR (standard* OR IEC) OR (“polic*”))

A3 Health perspective

((“wind turbine*” OR “windmill*” OR “wind farm*” OR “wind park*” OR “wind energy*” OR “wind power*”) AND (nois* OR sound*) AND (health* OR annoy* OR percep* OR sleep*))

A4 Social acceptance perspective

((“wind turbine*” OR “windmill*” OR “wind farm*” OR “wind park*” OR “wind energy*” OR “wind power*” AND nois* OR sound* OR annoy* AND opinion* AND NOT opposition OR complain* OR resistance OR nimby* OR acceptance))

Appendix B: List of anonymized interviews

Table B1List of anonymized interviews.

Download Print Version | Download XLSX

Appendix C: Example timeline used in interviews
https://wes.copernicus.org/articles/10/907/2025/wes-10-907-2025-f04

Figure C1Example timeline used in interviews.

Download

This example was used in the interviews with experts from the health community.

Data availability

The raw interview data are not publicly available as the conditions for being able to make the interviews were that quotes would be anonymous and interview data would be confidential. This is in line with best practice in social science research and protection of personal data.

Author contributions

JK set the framing of the paper; wrote the Introduction, Discussion and Conclusion; and edited the whole paper. TC made the review of the technical literature and contributed to the editing of the whole paper. SN made the review of the health literature and reviewed the final paper. DF made the review of the social acceptance literature and reviewed the final paper. All authors contributed to conducting the expert interviews and the paper's analysis.

Competing interests

At least one of the (co-)authors is a member of the editorial board of Wind Energy Science. The peer-review process was guided by an independent editor, and the authors also have no other competing interests to declare.

Disclaimer

Publisher's note: Copernicus Publications remains neutral with regard to jurisdictional claims made in the text, published maps, institutional affiliations, or any other geographical representation in this paper. While Copernicus Publications makes every effort to include appropriate place names, the final responsibility lies with the authors.

Acknowledgements

The authors would like to thank Maja Horst for early discussions concerning the conceptual framing of the Co-Green project and this paper. We would also like to thank Emil Nissen, who helped with interview transcriptions, making the timeline props for interviews and offering comments generally throughout the course of this paper.

We would like to acknowledge and thank the funding of the Co-Green project (“Controversies in the green transition: The case of wind turbine sound and its politicisation”) by the Independent Research Fund Denmark.

Financial support

This research has been supported by the Danmarks Frie Forskningsfond (grant no. 0217-00229B).

Review statement

This paper was edited by Bonnie Ram and reviewed by one anonymous referee.

References

Abbott, I. and von Doenhoff, A.: Theory of Wing Sections, Including a Summary of Airfoil Data, Dover Publications, ISBN 9780486605869, 1959. 

Bak, C.: Airfoil Design, in: Handbook of Wind Energy Aerodynamics, edited by: Stoevesandt, B., Schepers, G., Fuglsang, P., and Yuping, S., Chap. 6, Springer Nature, Switzerland AG 2021, https://doi.org/10.1007/978-3-030-05455-7, 2021. 

Batel, S.: Research on the social acceptance of renewable energy technologies: Past, present and future, Energy Research & Social Science, 68, 101544, https://doi.org/10.1016/j.erss.2020.101544, 2020. 

Batel, S. and Devine-Wright, P.: Using a Critical Approach to Unpack the Visual-Spatial Impacts of Energy Infrastructures, in: A critical approach to the social acceptance of renewable energy infrastructures, edited by: Batel, S. and Rudolph, D., Springer International Publishing, 43–60, https://doi.org/10.1007/978-3-030-73699-6_3, 2021. 

Baxter, J., Morzaria, R., and Hirsch, R.: A case-control study of support/opposition to wind turbines: Perceptions of health risk, economic benefits, and community conflict, Energ. Policy, 61, 931–943, https://doi.org/10.1016/j.enpol.2013.06.050, 2013. 

Bijsterveld, K.: The Diabolical Symphony of the Mechanical Age: Technology and Symbolism of Sound in European and North American Noise Abatement Campaigns, 1900-40, Soc. Stud. Sci., 31, 37–70, https://doi.org/10.1177/030631201031001003, 2001. 

Boorsma, K. and Schepers, G.: Wind turbine noise measurements in controlled conditions, Int. J. Aeroacoust., 16, 649–665, https://doi.org/10.1177/1475472X17729976, 2017. 

Borch, K., Munk, A. K., and Dahlgaard, V.: Mapping wind-power controversies on social media: Facebook as a powerful mobilizer of local resistance, Energ. Policy, 138, 111223, https://doi.org/10.1016/j.enpol.2019.111223, 2020. 

Borch, K., Kirkegaard, J. K., and Nyborg, S. Three Wind Farm Developments, Three Different Planning Difficulties: Cases from Denmark, Energies, 16 4662, https://doi.org/10.3390/en16124662, 2023. 

Borsky, P.: Annoyance and acceptability judgments produced by 32 aircraft noise conditions, J. Acoust. Soc. Am., 63, 2016527, https://doi.org/10.1121/1.2016527, 1978. 

Bosley, P. and Bosley, K.: Public acceptability of California's wind energy developments: Three studies, Wind Engineering, 12, 311–318, 1988. 

Brudermann, T., Zaman, R., and Posch, A.: Not in my hiking trail? Acceptance of wind farms in the Austrian Alps, Clean Technol. Envir., 21, 1603–1616, doi.org/10.1007/s10098-019-01734-9, 2019. 

Callon, M.: Struggles and negotiations to define what is problematic and what is not, in: The social process of scientific investigation, edited by: Knorr Cetina, K., Krohn, R., and Whitley, R., Springer, 197–219, ISBN 978-90-277-1175-5, 1980. 

Callon, M., Lascoumes, P., and Barthe, Y.: Acting in an Uncertain World – An Essay on Technical Democracy, The MIT Press, translated by: Burchell, G., ISBN 978-0-262-03382-4, 2009. 

Cashmore, M., Rudolph, D., Larsen, S. V., and Nielsen, H.: International experiences with opposition to wind energy siting decisions: lessons for environmental and social appraisal, J. Environ. Plann. Man., 62, 1109–1132, https://doi.org/10.1080/09640568.2018.1473150, 2019. 

Collins, H. M. and Evans, R.: Rethinking Expertise, Chicago, University of Chicago Press, ISBN 9780226113616, 2007. 

Dai, K., Bergot, A., Liang, C., Xiang, W., and Huang, Z.: Environmental issues associated with wind energy – A review, Renew. Energ., 75, 911–921, https://doi.org/10.1016/j.renene.2014.10.074, 2015. 

Dällenbach, N. and Wüstenhagen, R.: How far do noise concerns travel? Exploring how familiarity and justice shape noise expectations and social acceptance of planned wind energy projects, Energy Research & Social Science, 87, 102300, https://doi.org/10.1016/j.erss.2021.102300, 2022. 

Danish Agency of Public Health/Sundhedsstyrelsen: “Notat vedr. den danske vindmølleundersøgelse” (Note concerning the Danish Wind Turbine Study”), https://sum.dk/Media/E/1/SST-SAMLET-notat-om-Vindmoelleundersoegelsen-feb-2019.pdf (last access: 9 October 2023), 2019. 

Deshmukh, S., Bhattacharya, S., Jain, A., and Paul, A. R.: Wind turbine noise and its mitigation techniques: A review, Energy Proced., 160, 633–640, https://doi.org/10.1016/j.egypro.2019.02.215, 2018. 

dff.dk: Independent Research Fund Denmark: https://dff.dk/hvad-har-vi-stoettet/bliv-inspireret-af-tidens-forskning/artikler-om-forskningsprojekter/artikel/2021/juni/inddragelse-af-lokalbefolkning-skal-sikre-mere-opbakning-til-vindmoelleparker/, last access: 24 February 2024. 

EIA: Vindmoller-ved-Tjørnby, VVM-redegørelse og miljørapport, https://planenergi.eu/wp-content/uploads/2023/09/Vindmoller-ved-Tjorneby.pdf (last access: 20 September 2024), 2011. 

EIA: Vindmoller-ved-Hevring-Adal, VVM-redegørelse og miljørapport, https://planenergi.eu/wp-content/uploads/2023/09/Vindmoller-ved-Hevring-Adal.pdf (last access: 20 September 2024), 2012. 

Ellis, G. and Ferraro, G.: The Social Acceptance of Wind Energy: Where we stand and the path ahead. EUR 28182 EN, Luxembourg: Publications Office of the European Union, JRC103743, https://data.europa.eu/doi/10.2789/696070 (last access: 11 January 2024), 2016. 

Eyal, G.: For a sociology of expertise: The social origins of the autism epidemic, Am. J. Sociol., 118, 863–907, 2013. 

Fidell, I.: Fundamentals of Human Response to Sound, in: Fundamentals of Noise and Vibration, edited by: Fahy, F. and Walker, J., CRC press, ISBN 9780203477410, https://doi.org/10.4324/9780203477410, 2003. 

Fletcher, H. and Munson, W. A.: Loudness, Its Definition, Measurement and Calculation, J. Acoust. Soc. Am., 5, 82–108, https://doi.org/10.1121/1.1915637, 1933. 

Frantál, B., Van Der Horst, D., Kunc, J., and Jaňurová, M.: Landscape disruption or just a lack of economic benefits? Exploring factors behind the negative perceptions of wind turbines, Journal of Landscape Ecology, 15, 139–147, 2017. 

Fuglsang, P. and Oerlemans, S.: Low-noise wind turbine design, Siemens AG, European Wind Energy Workshop presentation, Noise Workshop, Oxford, UK, https://www.ewea.org/events/workshops/wp-content/uploads/2012/12/EWEA-Noise-Workshop-Oxford-2012-1-1-Stefan-Oerlemans.pdf (last access: 20 June 2023), 2012. 

Garret, S. L.: Understanding Acoustics, An Experimentalist's View of Sound and Vibration, Springer, 2nd. edn., https://doi.org/10.1007/978-3-030-44787-8, 2020. 

Greenhalgh, T., Robert, G., Macfarlane, F., Bate, P., Kyriakidou, O., and Peacock, R.: Storylines of research in diffusion of innovation: a meta-narrative approach to systematic review, Soc. Sci. Med., 61, 417–430, 2005. 

Gunther, L.: The Physics of Music and Color, Springer Science + Business Media, LLC, https://doi.org/10.1007/978-3-030-19219-8, 2012. 

Guski, R., Felscher-Suhr, U., and Schuemer, R.: The concept of noise annoyance: How international experts see it, J. Sound Vib., 223, 513–527, https://doi.org/10.1006/jsvi.1998.2173, 1999. 

Guski, R., Schreckenberg, D., and Schuemer, R.: WHO Environmental Noise Guidelines for the European Region: A Systematic Review on Environmental Noise and Annoyance, Int. J. Env. Res. Pub. He., 14, 1–39, https://doi.org/10.3390/ijerph14121539, 2017. 

Haggett, C.: The Social Experience of Noise from Wind Farms, in: Learning from Wind Power, edited by: Szarka, J., Cowell, R., Ellis, G., Strachan, P., and Warren, C., Palgrave Macmillan, 153–173, https://doi.org/10.1057/9781137265272, 2012. 

Hansen, C. and Hansen, K.: Recent Advances in Wind Turbine Noise Research, Acoustics, 2, 171–206, https://doi.org/10.3390/acoustics2010013, 2020. 

Hill, S. D. and Knott, J. D.: Too Close for Comfort: Social Controversies Surrounding Wind Farm Noise Setback Policies in Ontario, Renewable Energy Law and Policy Review, 1, 153–168, 2010. 

Hübner, G., Pohl, J., Hoen, B., Firestone, J., Rand, J., Elliott, D., and Haac, R.: Monitoring annoyance and stress effects of wind turbines on nearby residents: A comparison of U.S. and European samples, Environ. Int., 132, 105090, https://doi.org/10.1016/j.envint.2019.105090, 2019. 

ICBEN: The founding of ICBEN, https://www.icben.org/2023/presenting234.pdf (last access: 20 October 2022), 1973. 

iea-wind.org: Quite wind turbine technology, https://iea-wind.org/task39/, last access: 24 February 2024. 

IEA Task 39 Fact Sheet: Amplitude Modulation in Wind Turbine Noise, https://iea-wind.org/wp-content/uploads/2021/05/IEA-Wind-TCP-Task-39-Fact-Sheet-Amplitude-Modulation-20181006.pdf, last access: 20 February 2024. 

IEC 61400-11: Wind turbines – Part 11: Acoustic noise measurement techniques International Standard, International Electrotechnical Commission, ISBN 978-2-83220-463-4, 2016. 

INCE: International Conferences on Wind Turbine Noise, https://www.windturbinenoise.eu/files/wtn2021-conference-proceedings-v2-1.pdf (last access: 18 February 2024), 2021. 

INCE: International Conferences on Wind Turbine Noise, Dublin, https://www.windturbinenoise.eu/files/wtn2023-proceedings-v03.pdf (last access: 18 February 2024), 2023. 

ISO 226: Acoustics: Normal equal-loudness-level contours, International Organization for Standardization, https://www.iso.org/standard/83117.html (last access: 10 February 2024), 2023. 

Janssen, S. A., Vos, H., Eisses, A. R., and Pedersen, E.: A comparison between exposure-response relationships for wind turbine annoyance and annoyance due to other noise sources, J. Acoust. Soc. Am., 130, 3746, https://doi.org/10.1121/1.3653984, 2011. 

Kasperson, R. E., Renn, O., Slovic, P., Brown, H. S., Emel, J., Goble, R., Kasperson, J. X., and Ratick, S.: The Social Amplification of Risk A Conceptual Framework, Risk Anal., 8, 177–187, 1988. 

Kim, E.-S. and Chung, J-B.: The memory of place disruption, senses, and local opposition to Korean wind farms, Energ. Policy, 131, 43–52, https://doi.org/10.1016/j.enpol.2019.04.011, 2019. 

Kim, E.-S., Chung, J.-B., and Seo, Y.: Korean traditional beliefs and renewable energy transitions: Pungsu, shamanism, and the local perception of wind turbines, Energy Research & Social Science, 46, 262–273, 2018. 

Kirkegaard, J. K., Rudolph, D., Nyborg, S., Solman, H., Gill, E., and Hallisey, M.: Tackling grand challenges in wind energy through a socio-technical perspective, Nature Energy, 8, 655–664, https://doi.org/10.1038/s41560-023-01266-z, 2023. 

Knorr-Cetina, K.: Sociality with objects: Social relations in postsocial knowledge societies, Theor. Cult. Soc., 14, 1–30, 1997. 

Knorr-Cetina, K.: Epistemic Cultures: How the Sciences Make Knowledge, Harvard University Press, https://doi.org/10.2307/j.ctvxw3q7f, 1999. 

Kontogianni, A., Tourkolias, C., Skourtos, M., and Damigos, D.: Planning globally, protesting locally: Patterns in community perceptions towards the installation of wind farms, Renew. Energ., 66, 170–177, https://doi.org/10.1016/j.renene.2013.11.074, 2014. 

Latour, B.: Science in action: How to follow scientists and engineers through society, Harvard: Harvard University Press, ISBN 978-0-674-79291-3, 1987. 

Latour, B.: From Realpolitik to Dingpolitik or How to Make Things Public, in: Making Things Public: Atmospheres of Democracy, edited by: Latour, B. and Wiebel, P., Cambridge, MA, MIT Press, https://doi.org/10.4324/9781315264547, 2005. 

Latour, B. and Woolgar, S.: Laboratory Life: The Construction of Scientific Facts, Princeton University Press, ISBN 9780691028323, 1986. 

Lee, S. K. and White, P. R.: The Enhancement of Impulsive Noise and Vibration Signals for Fault Detection in Rotating and Reciprocating Machinery, J. Sound Vib., 217, 485–505, https://doi.org/10.1006/jsvi.1998.1767, 1998. 

Michaud, D., Feder, K., Keith, S., Voicescu, S., Marro, L., Than, J., Guay, M., Denning, A., McGuire, D., Bower, T., Lavigne, E., Murray, B., Weiss, S., and van den Berg, F.: Exposure to wind turbine noise: Perceptual responses and reported health effects, J. Acoust. Soc. Am., 139, 1443, https://doi.org/10.1121/1.4942391, 2016a. 

Michaud, D., Keith, S., Feder, K., Voicescu, S., Marro, L., Than, J., Guay, M., Bower, T., Denning, A., Lavigne, E., Whelan, C., Janssen, S., Leroux, T., and van den Berg, F.: Personal and situational variables associated with wind turbine noise annoyance, J. Acoust. Soc. Am., 139, 1455–1466, https://doi.org/10.1121/1.4942390, 2016b. 

Miedema, H. M. and Vos H.: Exposure-response relationships for transportation noise, J. Acoust. Soc. Am., 104, 3432–3445, https://doi.org/10.1121/1.423927, 1998. 

Mol, A.-M.: Ontological Politics. A Word and Some Questions, Sociol. Rev., 46, 74–89, https://doi.org/10.1111/1467-954X.46.s.5, 1998. 

mst.dk: Ministry of Environment, Danish Agency of Environment, https://mst.dk/erhverv/rent-miljoe-og-sikker-forsyning/stoej/vindmoeller, last access: 22 December 2022. 

Müller, F. J. Y., Leschinger, V., Hübner, G., and Pohl, J.: Understanding subjective and situational factors of wind turbine noise annoyance, Energ. Policy, 173, 113361, https://doi.org/10.1016/j.enpol.2022.113361, 2023. 

Nyborg, S., Kirkegaard., J. K., Frantzen, D. N., Cronin, T., and Horst, M.: Practicing interdisciplinarity in the green energy transition – the case of wind turbine noise, Science, Technology & Human Values, in review, 2025. 

Oerlemans, S.: Wind Turbine Noise Mitigation, Chapter 46, in: Handbook of Wind Energy Aerodynamics, edited by: Stoevesandt, B., Schepers, G., Fuglsang, P., and Sun, Y., Springer Nature Switzerland AG, https://doi.org/10.1007/978-3-030-05455-7, 2021. 

Pasqualetti, M. J. and Butler, E.: Public reaction to wind development in California, International Journal of Ambient Energy, 8, 83–90, https://doi.org/10.1080/01430750.1987.9675521, 1987. 

Pedersen, E. and Waye, P. K.: Perception and annoyance due to wind turbine noise – a dose–response relationship, J. Acoust. Soc. Am., 116, 3460–3470, https://doi.org/10.1121/1.1815091, 2004. 

Pinch, T. and Bijsterweld, K. (Eds.): The Oxford Handbook of Sound Studies (Oxford Handbooks) Reprint Edition, https://doi.org/10.1093/oxfordhb/9780195388947.001.0001, 2004. 

Plct.dk: Poul la Cour Tunnel: The Danish Aerodynamic and Acoustic Wind Tunnel, https://www.plct.dk/about, last access: 1 March 2024. 

Pohl, J., Gabriel, J., and Hübner, G.: Understanding stress effects of wind turbine noise – The integrated approach, Energ. Policy, 112, 119–128, https://doi.org/10.1016/j.enpol.2017.10.007, 2018. 

Poulsen, A. H., Raaschou-Nielsen, O., Peña, A., Hahmann, A. N., Baastrup, R. N., Ketzel, M., Brandt, J., and Sørensen, M.: Short-term night time wind turbine noise and cardiovascular events: A nationwide case-crossover study from Denmark, Environ. Int., 114, 160–166, https://doi.org/10.1016/j.envint.2018.02.030, 2018. 

Poulsen, A. H., Raaschou-Nielsen, O., Peña, A., Hahmann, A. N., Nordsborg, A. B., Ketzel, M., Brandt, J., and Sorensen, M.: Impact of Long-Term Exposure to Wind Turbine Noise on Redemption of Sleep Medication and Antidepressants: A Nationwide Cohort Study, Environ. Health Persp., 127, 37005, https://doi.org/10.1289/EHP3909, 2019. 

Rayleigh, J. W. S.: Theory of Sound, Volume 1, 2nd edn., Dover Publications, ISBN 0-486-60292-3, 1945. 

Ryi, J., Choi, J.-S., Lee, S., and Lee, S.: A full-scale prediction method for wind turbine rotor noise by using wind tunnel test data, Renew. Energ., 65, 257–264, https://doi.org/10.1016/j.renene.2013.09.032, 2014. 

Schultz, T. J.: Synthesis of social surveys on noise annoyance, J. Acoust. Soc. Am., 64, 377–405, https://doi.org/10.1121/1.382013 1978. 

Solman, H., Kirkegaard, J. K., and Kloppenburg, S.: Wind energy and noise: Forecasting the future sounds of wind energy projects and facilitating Dutch community participation, Energy Research & Social Science, 98, 1–9, https://doi.org/10.1016/j.erss.2023.103037, 2023. 

Stevens, K. N., Rosenblith, W. A., and Bolt, R. H.: A Community's Reaction to Noise: Can It Be Forecast? Acoustical Society of America, Noise Control, 1, 63–71, https://doi.org/10.1121/1.2369121, 1955. 

Tabassum, A., Premalatha, M., Abbasi, T., and Abbasi, S.: Wind energy: Increasing deployment, rising environmental concerns, Renew. Sustain. Energ. Rev., 31, 270–288, https://doi.org/10.1016/j.rser.2013.11.019, 2014. 

Taylor, J. and Klenk, N.: The politics of evidence: Conflicting social commitments and environmental priorities in the debate over wind energy and public health, Energy Research & Social Science, 47, 102–112, 2018. 

Thorne, B.: The Problems With “Noise Numbers” for Wind Farm Noise Assessment, B. Sci. Technol. Soc., 31, 262–290, https://doi.org/10.1177/0270467611412557, 2011. 

van der Horst, D.: NIMBY or not? Exploring the relevance of location and the politics of voiced opinions in renewable energy siting controversies, Energ. Policy, 35, 2705–2714, https://doi.org/10.1016/j.enpol.2006.12.012, 2007. 

Van Kamp, I. and van den Berg, F.: Health Effects Related to Wind Turbine Sound, Including Low-Frequency Sound and Infrasound, Acoust. Aust., 46, 31–57, https://doi.org/10.1007/s40857-017-0115-6, 2018. 

Van Kamp, I. and Van den Berg, F.: Health Effects Related to Wind Turbine Sound: An Update, Int. J. Env. Res. Pub. He., 18, 9133, https://doi.org/10.3390/ijerph18179133, 2021. 

Videnskab.dk: Wind Tunnel project, Technical University of Denmark (DTU), https://videnskab.dk/teknologi/vindmoellevinger-moeder-tredobbelt-orkan-paa-dtu/, last access: 22 December 2022. 

Viden om Vind: Vindmøller og støj – Viden om vind, https://videnomvind.dk/, last access: 10 April 2023. 

von Hünerbein, S., King, A., Hargreaves, J. A., Moorhouse, A. T., and Plack, C.: Perception of noise from large wind turbines (EFP-06 Project), Acoust. Aust., 33, 97–105, 2010. 

Wagner, S., Bareiß, R., and Guidati, G.: Wind Turbine Noise, Springer, ISBN 978-3-642-88712-3, https://doi.org/10.1007/978-3-642-88710-9, 1996. 

Walker, C., Baxter, J., and Ouellette, D.: Adding insult to injury: The development of psychosocial stress in Ontario wind turbine communities, Soc. Sci. Med., 133, 358–365, https://doi.org/10.1016/j.socscimed.2014.07.067, 2015. 

WHO: Constitution of the World Health Organization, B. World Health Organ., 80, 983–984, https://iris.who.int/handle/10665/268688 (last access: 7 November 2022), 1946. 

WHO: Environmental Noise Guidelines for the European Region, ISBN 9789289053563, 2018. 

Wind2050.dk: https://wind.dtu.dk/projects/completed-projects/wind2050, last access: 1 February 2024. 

Wolsink, M.: Attitudes and expectancies about wind turbines and wind farms, Wind Engineering, 13, 196–206, 1989.  

Wolsink, M.: Wind power and the NIMBY-myth: Institutional capacity and the limited significance of public support, Renew. Energ., 21, 49–64, https://doi.org/10.1016/S0960-1481(99)00130-5, 2000. 

Wolsink, M.: Planning of renewables schemes: Deliberative and fair decision-making on landscape issues instead of reproachful accusations of non-cooperation, Energ. Policy, 35, 2692–2704, https://doi.org/10.1016/j.enpol.2006.12.002, 2007a. 

Wolsink, M.: Wind power implementation: The nature of public attitudes: Equity and fairness instead of “backyard motives”, Renew. Sust. Energ. Rev., 11, 1188–1207, https://doi.org/10.1016/j.rser.2005.10.005, 2007b. 

Wolsink, M. and Sprengers, M.: Wind turbine Noise: a New Environmental Threat?, Inrets, 2, 235–239, https://doi.org/10.13140/2.1.3163.6800, 1993. 

Wolsink, M., Sprengers, M., Keuper, A., Pedersen, T. H., and Westra, C. A.: Annoyance from wind turbine noise on sixteen sites in three countries, Proceedings of the European Community Wind Energy Conference, Lübeck-Travemünde, Germany, 8–12 March 1993, 273–276, https://www.researchgate.net/publication/317167748_Annoyance_from_Wind_Turbine_Noise_on_Sixteen_Sites_in_Three_Countries (last access: 10 August 2024), 1993. 

Wüstenhagen, R., Wolsink, M., and Burer, M. J.: Social Acceptance of Renewable Energy Innovation: An Introduction to the Concept, Energ. Policy, 35, 2683–2691, 2007. 

Wynne, S. W.: New York City's noise abatement commission, J. Acoust. Soc. Am., 2, 12, https://doi.org/10.1121/1.1915231, 1930. 

1

Epistemology is a theory of knowledge; epistemic objects thus relate to the construction of – and sometimes contestation over – particular knowledge objects (e.g. noise).

Download
Short summary
Noise from wind turbines has been contentious for many years for those who have to live near wind farms. Despite strict regulations and significant research into the subject, it continues to be an issue for wind energy's role in the green transition. We were curious to find out why. Our research into three research ("epistemic") communities shows that noise is not understood as the same thing by the scientists dealing with it, fuelling the controversies over the solutions proposed.
Share
Altmetrics
Final-revised paper
Preprint