RESEARCH ARTICLE

RESEARCH ARTICLE

A typology of scientific breakthroughs

Mignon Wuestman

, Jarno Hoekman

, and Koen Frenken

Innovation Studies Group, Copernicus Institute of Sustainable Development,
Princetonlaan 8a, 3584 CB, Utrecht University, The Netherlands

a n o p e n a c c e s s

j o u r n a l

Keywords: breakthroughs, citation impact, scientific discovery, science of science, scientometrics,
societal impact

Citation: Wuestman, M., Hoekman, J.,
& Frenken, K. (2020). A typology of
scientific breakthroughs. Quantitative
Science Studies, 1(3), 1203–1222.
https://doi.org/10.1162/qss_a_00079

DOI:
https://doi.org/10.1162/qss_a_00079

Received: 8 April 2020
Accepted: 2 Giugno 2020

Corresponding Author:
Jarno Hoekman
j.hoekman@uu.nl

Handling Editor:
Ludo Waltman

ABSTRACT

Scientific breakthroughs are commonly understood as discoveries that transform the knowledge
frontier and have a major impact on science, technology, and society. Prior literature studying
breakthroughs generally treats them as a homogeneous group in attempts to identify supportive
conditions for their occurrence. in questo documento, we argue that there are different types of scientific
breakthroughs, which differ in their disciplinary occurrence and are associated with different
considerations of use and citation impact patterns. We develop a typology of scientific
breakthroughs based on three binary dimensions of scientific discoveries and use this typology
to analyze qualitatively the content of 335 scientific articles that report on breakthroughs. For
each dimension, we test associations with scientific disciplines, reported use considerations,
and scientific impact. We find that most scientific breakthroughs are driven by a question and in
line with literature, and that paradigm shifting discoveries are rare. Regarding the scientific
impact of breakthrough as measured by citations, we find that an article that answers an
unanswered question receives more citations compared to articles that were not motivated by
an unanswered question. We conclude that earlier research in which breakthroughs were
operationalized as highly cited scientific articles may thus be biased against the latter.

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1.

INTRODUCTION

The evolution of scientific knowledge is commonly understood as an alternating process between
short periods of breakthrough discoveries and long periods in which these breakthroughs are
further refined and elaborated (Kuhn, 1962; Toulmin, 1967). Periods of breakthrough discoveries
transform the knowledge frontier, while periods of refinement and elaboration allow for the major
scientific, technological, and societal contributions of those breakthroughs to materialize (Evans,
2016; Hilgard & Jamieson, 2017; Winnink & Tijssen, 2014). Tuttavia, while the periods of refine-
ment and elaborations are well understood (per esempio., Boyd & Richerson, 1985; Cavalli-Sforza &
Feldman, 1981; Nelson & Inverno, 1982), the characteristics of discoveries that transform the
knowledge frontier remain unclear (Marx & Bornmann, 2013).

In recent years, several authors have suggested supportive conditions for scientific break-
throughs, such as cognitively diverse teams (Hage & Mote, 2010; Hinrichs, Seager, et al., 2017;
Wu, Wang, & Evans, 2019), combinations of highly conventional and highly novel knowledge
(Mukherjee, Romero, et al., 2017; Schilling & Verde, 2011) and psychological characteristics of
scientists, such as stubbornness and tenacity (Grumet, 2008). Generally, these studies understand
scientific breakthroughs as being codified in highly cited publications, typically operationalized as
the top 5%, 1%, O 0.1% highly cited articles in a field (Ponomarev, Williams, et al., 2014; Uzzi,
Mukherjee, et al., 2013; Zeng et al., 2017). These studies thus treat scientific breakthroughs as a

Copyright: © 2020 Mignon Wuestman,
Jarno Hoekman, and Koen Frenken.
Pubblicato sotto Creative Commons
Attribuzione 4.0 Internazionale (CC BY 4.0)
licenza.

The MIT Press

A typology of scientific breakthroughs

group characterized by high impact and implicitly assume that all scientific breakthroughs are
highly cited articles, and conversely that all highly cited articles are scientific breakthroughs. UN
systematic effort to identify different types of breakthroughs has so far not been made. This is,
Tuttavia, useful, as it might be the case that breakthrough types occur under different circum-
stances and differ in their citation impact.

Below, we develop a typology of scientific breakthroughs, and examine differences between
kinds of breakthroughs in terms of their disciplinary occurrence, considerations of use and citation
impact. We make use of the Charge-Chance-Challenge (Cha-Cha-Cha) theory of scientific discov-
ery as described by Koshland (2007) to develop a typology of scientific breakthroughs. Rather than
understanding scientific breakthroughs as either Charge, Chance or Challenge type, as Koshland
fa, we propose three discovery dimensions that underlie those three types to provide a better
understanding of the varieties of scientific breakthroughs. Using the three dimensions, we test to
what extent configurations of these three dimensions are observable in the scientific literature by
qualitatively coding the full text of 335 articles that, according to experts, report on scientific
breakthroughs. We then use these coded articles to explore how the different characteristics
are distributed over scientific disciplines and vary in their considerations of use and citation
impact. We are particularly interested in those aspects, because Koshland, in his paper, provides
examples of the different types of discoveries that come primarily from physical sciences and life
sciences. Inoltre, as it is known that scientific breakthroughs have transformational potential
both within and beyond science (Winnink & Tijssen, 2014), we explore how the different typo-
logical dimensions relate to furthering fundamental understanding and considerations of use
(Stokes, 1997). Finalmente, we model the effect of breakthrough characteristics on cumulative citation
impact over 10 years by means of a set of regression models. We find that breakthroughs vary
widely in their citation impact, and that there are telling differences in impact between different
types of breakthroughs.

2. THE CHA-CHA-CHA THEORY OF SCIENTIFIC DISCOVERIES
Koshland’s Cha-Cha-Cha theory of scientific discoveries was developed to aid in understanding
the heterogeneous nature of major scientific advances, and to improve our understanding of the
conditions under which scientific breakthroughs occur (Koshland, 2007). The theory is developed
from the perspective that different field conditions lead up to different types of scientific discov-
eries. These field conditions relate to the perceived state of knowledge in a scientific field, Quale
offers opportunities for scientists to make relevant scientific contributions (discoveries). For exam-
ple, a scientific discovery may provide an answer to a long-standing question in a field.
Alternatively, a breakthrough may be a serendipitous encounter with an important new piece
of evidence, which may fit or question the existing theory or observations in a field. Scientists
may also recognize a set of inconsistencies in the state-of-the-art literature in a field, which they
aim to resolve. Koshland’s Cha’s summarize these different kinds of scientific discoveries in three
types: Charge, Chance, and Challenge.

2.1. Charge, Chance and Challenge Type Discoveries

Koshland defines Charge type discoveries as discoveries that “solve problems that are quite obvi-
ous … but in which the way to solve the problem is not so clear” (P. 761). In other words, Charge
type discoveries resolve “known unknowns” (Logan, 2009). Koshland uses Isaac Newton’s discov-
ery of gravity as an example of a Charge type discovery, because “the movement of stars in the sky
and the fall of an apple from a tree were apparent to everyone, but Isaac Newton came up with the

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A typology of scientific breakthroughs

concept of gravity to explain it all” (P. 761). A recent example of a Charge type scientific break-
through is “cloaking technology” (Leonhardt, 2006), an invisibility device that has been a long-
standing dream of many scientists. While it had been proven that perfect invisibility is impossible
due to the wave nature of light, there was reason to believe that “perfect invisibility within the
accuracy of geometrical optics” was achievable (P. 1777). Leonhardt (2006) reports the formula-
tion of a “general recipe” for the design of media that can achieve such invisibility with possibilities
for practical demonstrations. This breakthrough has thus, at least in theory, solved a well-known
problem in a way that had not been thought of before.

Koshland defines Chance type discoveries as “instances of a chance event that the ready
mind recognizes as important and then explains to other scientists” (P. 761). For a Chance type
discovery, the original contribution lies in recognizing the importance of an unexpected
encounter or explaining the importance to other members of the scientific community.
These encounters typically involve some kind of serendipity (Copeland, 2019; Koshland,
2007; Yaqub, 2018). Encounters may take the shape of accidental discoveries of fossils, an-
cient remains, and other natural phenomena, but also of unexpected outcomes of planned
esperimenti, such as Alexander Fleming’s discovery of penicillin (Koshland, 2007). A more
recent example of a Chance type discovery is reported in an article by Palmer, Barthelmy,
et al. (2005), who report on neutron star SGR 1806-20 emitting a giant gamma-ray flare on
27 Dicembre 2004. Recognizing the importance of this event was crucial: The authors note
that this flare was about a hundred times higher than the two giant flares observed from this
neutron star earlier, whereas the energy of giant flares is usually a thousand times higher than
that of a typical burst. Because of that difference, the authors further note that under different
circumstances, this burst could have been interpreted as another type of burst. Invece, Essi
suggest that the observed flare is of a newly discovered subclass.

As a third type of scientific breakthrough, Koshland defines Challenge type discoveries as “a
response to an accumulation of facts or concepts that are unexplained by or incongruous with
scientific theories of the time” (P. 761). Koshland provides Einstein’s theory of special relativity
as an example of a Challenge type discovery, as it provided a theory that explained anomalies
with contemporary theories. Another example presented itself with the report on a draft se-
quence of the Neandertal genome (Verde, Krause, et al., 2010). The authors emphasize in
the introduction of the article that “substantial controversy surrounds the question of whether
Neandertals interbred with anatomically modern humans” (P. 710). The challenged model
was based on the idea that modern humans, after leaving Africa, completely replaced
Neandertals without interbreeding. This theory was supported by evidence on morphological
features and DNA of modern humans, although the evidence was considered to be inconclu-
sive. The draft sequence of the Neandertal genome suggest that Europeans and Asians, but not
Africans, have inherited genes from Neandertals—a finding that does not fit with the model.
Invece, the authors put forward an alternative theory: Neandertals interbred with modern
humans after they left Africa, but before they spread into Europe and Asia.

While Koshland’s categorization is intuitive, it has thus far not been used to systematically
map scientific discoveries. One obstacle towards using Koshland’s theory to classify scientific
breakthroughs holds that Koshland does not specify whether we should understand scientific
discoveries as mutually exclusive (cioè., Chance, Charge, or Challenge alone), or as combina-
tions of types. Per esempio, a discovery can fit the description of both Chance and Challenge.
Consider, as an example, an article published in 2000, reporting on the discovery of two early
hominid skulls and tools at a site in the Republic of Georgia, which the authors interpret as
evidence that “the initial hominid dispersal from Africa was driven not by technological inno-
vation but more likely by biological and ecological parameters” (Gabunia, Vekua, et al., 2000,

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A typology of scientific breakthroughs

P. 1025). This discovery fits the definition of a Chance type discovery because it involves a
chance encounter that scientists recognized as important, but it also fits the definition of a
Challenge type discovery because the authors interpret evidence that is incongruent with sci-
entific theories of the time, and propose an alternative theory. Inoltre, Koshland also does
not specify whether the three types are meant to be exhaustive. It might be that some discov-
eries do not fit with the definition of any of Chance, Charge, or Challenge.

2.2. From Discovery Types to Discovery Dimensions

As we aim to characterize and compare scientific breakthroughs, we allow for the possibility
that Koshland’s discovery types are neither exhaustive nor mutually exclusive. Piuttosto, we as-
sume that breakthroughs can be characterized on three binary discovery dimensions. For each
of Koshland’s discovery types, the state of two of the three binary dimensions is fixed, while
the state of the third dimension may vary (see also Table 1). For both states of each dimension,
we provide examples of relevant scientific articles in Table A1. We summarize the dimensions
come segue:

1. The discovery is driven by a question, or by a research object

Primo, we distinguish between discoveries that are question driven and discoveries that
are research object driven. Whereas in the case of question-driven discoveries the area
of ignorance and the line of enquiry in the field is well established and widely shared
(“we know what we do not know”), discoveries driven by a research object are inverse
question driven: The discovery precedes the formulation of the question (“we do not
know what we do not know”) (Meyers, 2011). Per esempio, archaeologists might
discover ancient hominid remains in an unexpected location, which then raises ques-
tions about the distribution and social relation of hominids (Brunet, Guy, et al., 2002).
The discovery of ancient remains thus drives the formulation of a question that was not
asked before. Note that it may be the case that discoveries driven by a research object
do actually provide answers to questions, but these questions were not the driver of the
discovery.
Koshland’s Charge type can be characterized as question driven, referring to discoveries
that solve long-standing problems. In our earlier example, the discovery team was able
to design a theoretical cloaking device in response to the ambition of engineering invis-
ibility. Chance and Challenge type discoveries are both research object driven: Chance
type discoveries start from an encounter with a research object that awaits interpretation,
and Challenge type discoveries start from the recognition of a research object that does
not fit with existing theories. In our example of a Chance type discovery, this was the
observation of a giant gamma-ray burst, and in our Challenge example, this was genetic

Tavolo 1.

Koshland’s types as configurations of discovery dimensions

Koshland’s types
Charge

Chance

Challenge

UN: question-driven or
research-object-driven

question

research object

research object

Discovery dimensions

B: new or known
question/research object
either

new

either

C: question/research object is
against or in line with literature
in line with literature

either

against literature

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A typology of scientific breakthroughs

evidence against the model that claimed that modern humans replaced Neandertals
without interbreeding.

2. The discovery introduces a new question/research object, or contributes to a known

question/research object
As a second dimension, we distinguish between new and known questions and research
objects. We understand questions and research objects that are known as questions and
research objects that are documented in the scientific literature, and of which the scientists
who made the discovery were aware. Conversely, new questions and research objects are
those that are introduced by the scientists who made the discovery and are, Perciò,
themselves part of the discovery. With regard to the scientific impact of a discovery, Questo
is a relevant distinction, as it indicates whether the discovery team can be credited for
introducing the new question or research object, or only for resolving or contextualizing
Esso. Koshland described this in terms of “uncoverers,” or scientific teams for whom unco-
vering the question or research object is (part of ) their original contribution, and “discov-
erers,” or scientific teams that contribute to a question or research object uncovered by
others (P. 761).
Koshland’s Chance type can clearly be characterized along this dimension. For Chance
type discoveries, it is the “uncovering” that is critical, along with recognizing and inter-
preting the relevance of the uncovered research object. Without observing the giant
gamma-ray burst, its discovery team would not have been able to report any discovery.
In the case of Charge or Challenge discoveries, the question or research object can be
either new or known. For Charge type discoveries, which answer “obvious” questions,
the question may be a long-standing one that many others have tried and failed to solve,
such as the ambition of invisibility or the puzzle of gravity, but it may also be a question
that they raised themselves as an extension of existing literature. Per esempio, the authors
of an article that reports on the derivation of germ cells from stem cells argued that
“because embryoid bodies sustain blood development, we reasoned that they might also
support primordial germ cell formation,” thus raising the question of whether germ cells
can indeed be made from such embryoid bodies (Geijsen, Horoschak, et al., 2004,
P. 148). E, Challenge type discoveries can be a response to an accumulation of facts
that the discovery team uncovers themselves, or that were already known in the literature
before. Our example of a Challenge type discovery based on the draft sequence of the
Neandertal genome includes both: It reports original evidence that counters the existing
modello, and describes pieces of evidence that were uncovered by others. Here, we are in
agreement with Koshland (2007), who also argued that Challenge type discoveries can
be accompanied with uncovery or not. Following his wording, it is the discovery of a new
explanation of facts that is critical for Challenge type discoveries, not the uncovering of
the facts as such.

3. The question or research object is against or in line with state-of-the-art literature

Third, we distinguish between discoveries that go against state-of-the-art literature and discov-
eries that fit with or follow logically from existing literature. In other words, the discovery
may have the potential to cause a paradigm shift, or it may fit within the current paradigm
(Koshland, 2007; Kuhn, 1962).
Koshland’s Challenge type discoveries are driven by research objects that are incongruent
with the current paradigm, and their interpretation thus calls for a paradigm shift. Challenge
type discoveries can thus be characterized as “against state-of-the-art literature.” The
article on the Neandertal genome, Per esempio, reported existing evidence incongruent
with the current paradigm, uncovered additional evidence, and offered an alternative
modello. Charge type discoveries, on the other hand, answer questions that have been part

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A typology of scientific breakthroughs

of the existing literature or follow logically from it and, logically, cannot go against state-of-
the-art literature. The discovery of a theoretical cloaking device was, Infatti, in line with
earlier ideas on the feasibility of such a device. Chance type discoveries may or may not be
in line with state-of-the-art literature, depending on the interpretation of their discoverers.
The article by Palmer et al. (2005) on an observed gamma-ray flare is an example of the
former: the flare was interpreted as an additional category of flares. This interpretation
offered an extension of the current model and did not require a paradigm shift. The dis-
covery of hominid skulls and tools in the Republic of Georgia (Gabunia et al., 2000), by
contrasto, is an example of both a Chance type discovery and a Challenge type discovery,
as the evidence is seen as incongruent with scientific theories of the time.

In summary, we can define Koshland’s types as configurations of three binary dimensions, COME
summarized in Table 1. Following the table, Charge type discoveries are driven by a question,
be it a new or known question, and are in line with existing literature. Chance type discoveries
are driven by a new research object and may be in line with or against existing literature.
Challenge type discoveries are driven by a new or existing research object, and go against existing
literature.

It follows from Table 1 that Koshland’s three discovery types are not exhaustive of the pos-
sible types that are analytically conceivable. Infatti, there is no reason to assume that discov-
eries will only meet the particular configurations of the dimensions that are consistent with
Koshland’s three types. Using the framework, we are able to characterize scientific break-
throughs in three binary dimensions, so that each scientific breakthrough is classified as one
out of eight (23) possible types, rather than Koshland’s three. The question, Poi, of which of
the eight possible discovery types is most prevalent, is an empirical one.

3. RESEARCH DESIGN AND METHODS

3.1. Data Collection
To characterize different types of scientific breakthroughs, we make use of Science’s annual an-
nouncement of the Breakthrough of the Year (BotY) (AAAS, 2018) between 1999 E 2012. Each
year the magazine’s scientific editors select “the most significant scientific discovery of the year”
(AAAS, 2018) and its nine runners-up1. The selected breakthroughs are described by the journal’s
reporters in the final issue of the year. These descriptions may refer to a single scientific break-
through or to a multitude of breakthroughs that center on a common theme2, and include a list
of references to the original research described and other supportive material.

For this paper, we use the reference list of each BotY description to select research articles that
report on the scientific breakthrough. We will refer to these articles as breakthrough articles. Noi
use the following requirements in our selection of breakthrough articles from the BotY (E
runners-up) reference lists: (UN) Articles should be written in English3; (B) articles should be
published in the same year as the year in which they were announced BotY or runner-up, con
the exception of articles published in December the year before (as these were published after the

1 In 2015, a People’s Choice was introduced along with the editors’ selection. Tuttavia, as data from 2013
onwards are not collected, these People’s Choice breakthroughs are not in the data. Before 2015, only
Science’s editors contributed to the selection process.

2 Per esempio, in the runner-up “Water, water everywhere” from 2000, one breakthrough is the discovery of
an ocean on one of Jupiter’s satellites, and another is proof that there has been water on Mars at some point
in time.

3 No research articles written in another language were found.

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A typology of scientific breakthroughs

BotY announcement of the previous year); (C) articles should be published in peer-reviewed
academic journals4; (D) articles should report original results described in the BotY description:
Review articles or articles that were included as further reading are omitted; (e) articles should
have a DOI and be available on Web of Science (WoS); E (F ) articles should not have been
retracted afterwards5.

Although the announcement of BotYs began in 1996 (replacing the annual announcement
of Molecule of the Year), data are collected from 1999 onwards, as no runners-up were
announced in 1998. BotYs are collected until 2012, to allow the articles at least 6 years to
receive citations after publication. This resulted in 335 scientific breakthrough articles, derived
from 140 BotYs (14 years: one breakthrough and nine runners-up per year). Tavolo 2 shows a
summary of this selection process.

We used the DOI of each article to collect data from WoS: (UN) publication date; (B) publi-
cation source; (C) citation report consisting of the number of citations per year for 10 years, O
as many years as possible for articles published after 2008; (D) number of authors; E (e) UN
PDF of the article’s full text (including abstract). These data were extracted from WoS in April
2018. The articles’ full texts were used to code the breakthrough article in terms of the three
discovery dimensions and its reported considerations of use.

We also collect data on the scientific discipline of each of our breakthrough articles based
on the indexation of Nature6 (Springer Nature, n.d.). We distinguish between disciplines as
listed by Nature: biological sciences7, business and commerce, environmental sciences,
health sciences8, humanities, physical sciences, scientific community and society, and social
sciences.9 Because many of the examples of Chance type discoveries supplied by Koshland
are specifically from paleontological sciences and astronomical sciences, whereas examples
from Charge and Challenge type discoveries are not (Koshland, 2007), we will further distin-
guish between paleontological sciences and other biological sciences and between astronom-
ical sciences and other physical sciences.

3.2. Coding Discovery Dimensions and Reported Considerations of Use

We use directed content analysis (Hsieh & Shannon, 2005; Saldaña, 2015) to code each break-
through article on each of the three binary discovery dimensions and on the considerations of use
of the scientific breakthrough article. The result of this process will be used to assess descriptively,
statistically, and visually differences in discipline, citation impact, and reported considerations of
use between breakthrough articles by dimensions (see also Section 2.2).

To code articles on the three discovery dimensions, we use the text of the articles. For each
article we search for key phrases indicative of each dimension. Examples of key phrases used can
be found in Table A1, and were developed in three steps. Primo, two coders, K. S. and M. l. W.,

4 Note that, although BotYs are announced by Science, reference lists include articles published in other peer-

reviewed journals.

5 As retraction of articles is essentially right-censored, because any article may be retracted in the future, there

may be a bias against older articles. Tuttavia, there are few retractions in the data.

6 For breakthrough articles that were not published by Nature, we identify the most relevant scientific

discipline by determining the discipline of referenced articles published in Science.

7 Including anatomy, physiology, cell biology, biochemistry, biophysics, and paleontology (Springer

Nature, n.d.).

8 Including aspects of health, disease and healthcare aiming to develop knowledge, interventions, and tech-

nology for use in healthcare (Springer Nature, n.d.).

9 Tuttavia, in our data set, we only find articles from “biological sciences,” “physical sciences,” “environ-

mental sciences,” and “health sciences.”

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Tavolo 2.

Article selection process

Requirement met
Total listed references

Written in English

Published in announcement year

Published in peer-reviewed journal

Reports original results

Have DOI and in Web of Science

Have not been retracted

# articles
895

895

746

691

367

340

335

coded 14 breakthrough articles from 2014, which were not part of the data set of this paper, by
highlighting phrases that signal the state of the three dimensions as defined in Section 2.2. During
this stage it was found that while relevant phrases could be found throughout the whole text of the
article, the articles’ abstracts, first sentence, introductions and conclusions are the most informa-
tive with regard to the state of the discovery dimensions. Coding thus focused on these sections, O
on the whole text if abstract, introduction, and conclusion were inconclusive. Secondo, coding
differences between K. S. and M. l. W. were discussed until a consensus was reached on common
coding practices. Third, the highlighted phrases of these 14 breakthrough articles were summa-
rized into stylized phrases. Note that some key phrases serve as signals for more than one dimen-
sion. Per esempio, the phrase “On [date] we have observed []” signals that the reported
scientific breakthrough is research object driven rather than question driven, but also that this re-
search object is new rather than known, because uncovering this research object is part of the
breakthrough. Fourth, IL 335 breakthrough articles in our data set were then independently coded
by both coders. For our analyses, the dimension states question-driven, new, and against literature
are coded as 1, and research object-driven, known, and in line with literature are coded as 0.

For the identification of reported considerations of use we follow the four quadrants pro-
posed by Stokes (1997) when cross-tabulating two questions: (UN) Does the article report ap-
plied considerations of use of the scientific breakthrough, or not?; E (B) Does the article
report that the scientific breakthrough is part of a quest for fundamental understanding, O
non? Articles that do not report applied considerations of use but do report contributions to
fundamental understanding are considered basic research. Articles that only report applied
considerations of use without contributing to fundamental understanding are applied research.
Articles that report both applied and fundamental considerations of use are considered as use-
inspired basic research, also known as “Pasteur’s quadrant” (Stokes, 1997). Finalmente, articles
may report neither applied nor fundamental considerations of use. For the development of
key phrases that signal considerations of use, we followed the same procedure as for the de-
velopment of key phrases for discovery dimensions, described above. Such phrases were
found to be typically reported in the final paragraph(S) of the breakthrough articles. Key
frasi, as well as examples of reported considerations of use, can be found in Table A2.

We present intercoder reliability for each of our coded dimensions in Table 3, dove noi
report Cohen’s kappa, which takes intercoder agreement by chance into account. We find that
kappa values are sufficiently high (Cohen, 1960). In cases of disagreement, final codes are
based on consensus between the two coders. Consensus was found for all articles in the data
set, which implies that all 335 publications originally selected serve as empirical observations.

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A typology of scientific breakthroughs

Tavolo 3.

Intercoder reliability

Dimension
UN: Question or research object

B: New or known

C: Against or in line with literature

Applied

Basic

Note: *P < .05, **p < .005, ***p < .001. 3.3. Analysis Cohen’s kappa 0.756*** 0.768*** 0.700*** 0.760*** 0.508*** We run chi2 tests and Tukey’s HSD post hoc tests (Tukey, 1949) to test whether discovery dimension states are associated with scientific disciplines and reported considerations of use. We also present bar charts to assess differences visually. To test whether discovery dimensions affect cumulative citation patterns, we run a set of regressions with the number of cumulative citations as the dependent variable, and three dummies that represent the three binary discovery dimensions as the main independent var- iables. Ten regression models estimate cumulative citations from 1 to 10 years after publica- tion. For this, negative binomial regression is appropriate, as our dependent variables reflect overdispersed count data (Cameron & Trivedi, 1998): If we were to use a Poisson regression rather than a negative binomial regression to model cumulative citations 10 years after pub- lication using all our independent variables, the residual variance of 184.073 would exceed the 220 degrees of freedom. As each BotY description can contain references to multiple breakthrough articles, we cluster standard errors at the level of the BotY description. As using cumulative citations per year makes it difficult to identify differences in the number of citations per year, we rerun our models using number of citations per year for one to 10 years after publication rather than cumulative citations per year for 1 to 10 years after publication as dependent variables, presented in Figure A1 and Table A3. Individual authors may each boost the cumulative citations to their own articles by bringing their work under the attention of others (Aksnes, 2003). Therefore, we include number of au- thors as a control variable. As this variable is heavily skewed, we use a log transformation for number of authors. In a second set of models, we further include dummy variables for disci- pline, as it is known that citations rates vary between disciplines, and we find that configura- tions of discovery dimensions are not randomly distributed over disciplines. 4. CHARACTERIZING BREAKTHROUGHS 4.1. Configurations of Discovery Dimensions and Associated Disciplines and Considerations of Use In Table 4, we present the distribution of articles in our data set over the eight different con- figurations of discovery dimensions. We also compare our typology to Koshland’s. We see that some combinations of characteristics are more common than others. Notably, the majority of our articles (77%) are what Koshland would describe as Charge type discoveries: driven by a known question that is in line with theory, irrespective of whether the research object is new or known. We also find that most articles can indeed be classified according to Koshland’s typology: Only 43 articles (13%) do not fit with that typology, either because they have Quantitative Science Studies 1211 l D o w n o a d e d f r o m h t t p : / / d i r e c t . m i t . / e d u q s s / a r t i c e - p d l f / / / / 1 3 1 2 0 3 1 8 6 9 9 7 1 q s s _ a _ 0 0 0 7 9 p d . / f b y g u e s t t o n 0 7 S e p e m b e r 2 0 2 3 A typology of scientific breakthroughs Table 4. Configuration of discovery dimensions Discovery dimensions A research object research object research object research object question question question question B known known new new known known new new C in line with literature against literature in line with literature against literature N 8 2 31 5 in line with literature 166 against literature in line with literature against literature 16 93 14 % 2.4 0.6 9.3 1.5 49.6 4.8 27.8 4.2 A0B0C0 A0B0C1 A0B1C0 A0B1C1 A1B0C0 A1B0C1 A1B1C0 A1B1C1 Koshland’s type - Challenge Chance Challenge + Chance Charge - Charge - properties of more than one type (11%), or because they have properties of none (2%). In this sense, the original typology of Koshland can be regarded as useful. Figure 1 presents bar charts of the discipline and reported considerations of use for each con- figuration of discovery dimensions, discussed in detail below. Most articles in our data set report considerations of use for fundamental understanding only (74%). Just a few are only applied (7%), while another 17% are classified as both fundamental and applied; 2% report neither. A large share (47%) of the articles report on research on biological sciences (excluding pa- leontology), while 26% report on research on physical sciences (excluding astronomy). Research in the field of health sciences and environmental sciences is less common. 4.1.1. Dimension A The majority of articles in this study (86%) are question driven. We find that question driven discoveries are not randomly distributed across disciplines (chi2 = 100, df = 5, p < .001). Based Figure 1. Bar chart of disciplines (left) and considerations of use (right) per configuration of discovery dimensions. Quantitative Science Studies 1212 l D o w n o a d e d f r o m h t t p : / / d i r e c t . m i t . / e d u q s s / a r t i c e - p d l f / / / / 1 3 1 2 0 3 1 8 6 9 9 7 1 q s s _ a _ 0 0 0 7 9 p d / . f b y g u e s t t o n 0 7 S e p e m b e r 2 0 2 3 A typology of scientific breakthroughs on our post hoc test, we find that being question driven is associated with health sciences, more than with other disciplines ( p < .05). Indeed, almost all (96%) health sciences articles in our data set are question-driven. Conversely, being research object driven is associated with astronomy and paleontology more than with other disciplines ( p < .05). This may be because disciplines such as paleontology and astronomy more often encounter unexpected physical research objects, for example from fossil records and satellite observations, respectively. Question-driven articles are also not randomly distributed across the four Stokes quadrants (chi2 = 20, df = 3, p < .01). Our analysis suggests that being question driven is associated with reporting only applied considerations of use and with reporting both applied and fundamental considerations of use, while research object driven breakthroughs are associated with reporting on neither ( p < .05). 4.1.2. Dimension B Articles with a new question or research object are slightly less common than articles with a known question or research object (43% versus 57% of articles). Most of these are articles with a new question rather than a new research object (74%). Of our total set of articles, only 10% report on a new research object that is in line with theory. Our results indicate that this dimension and discipline are not independent (chi2 = 20, df = 5, p < .001). Specifically, we find that having a new question or research object is associated more with biological sciences (but not paleontology) and astronomy, while having a known question or research object is associated with physical sciences (but not astronomy) ( p < .05). It is further worth noting that breakthroughs that are specifically driven by a new research object are primarily found in astronomy (see also Figure 1). We do not find a strong association between this discovery dimension and Stokes’ four quadrants regarding considerations of use (chi2 = 7, df = 3, p > .05).

4.1.3. Dimension C

Breakthroughs that go against the state-of-the-art literature are uncommon (11%) and among
them the large majority are question driven. We do not find a strong association between this
discovery dimension and discipline (chi2 = 9, df = 5, p > .05). Our post hoc tests suggest that
breakthroughs going against the literature are somewhat common in paleontological articles,
while being in line with the literature is associated more with health sciences ( P < .1) and physical sciences except astronomy ( p < .05). In terms of reported considerations of use, we do not find significant evidence that being against state-of-the-art literature is associated with reported considerations of use (chi2 = 5, df = 3, p > .1).

4.2. Citation Impact and Discovery Dimensions

Tavolo 5 shows descriptives of the cumulative number of citations within 10 years per discovery
dimension state. On average, the articles in our data set collect 799 citations within the first 10
years after publication. Tuttavia, with a median of 489 and an interquartile range of 625, Questo
varies broadly: While the lowest decile of the articles in our data set have fewer than 108
citations, the highest decile has more than 1,571. È interessante notare, one article did not receive
any citation within 10 years10.

10 This article, which reports the first results from the Sudbury Neutrino Observatory (Helmer & SNO
Collaboration, 2002). It may be that this article did not receive any citations because there were two other
articles that report results from the same observatory (also included here). While all three articles were
originally submitted in April 2002, the Helmer et al. paper was published in November, while the other
two were published in June.

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A typology of scientific breakthroughs

Tavolo 5.

Summary statistics of cumulative citations within 10 years per discovery dimension state

A1

A0

B1

B0

C1

C0

Dimension
question-driven

research-object-driven

new

known

against literature

in line with literature

total

N
288

47

144

191

37

298

335

Mean
867.1

412.3

St. dev.
1,203.9

433.2

740.8

1,094.8

846.6

1,166.6

769.8

962.0

803.2

1,157.3

799.2

1,134

Min
27

1st quartile
268

Median
526

3rd quartile
917

0

0

27

27

0

0

150

240

247

219

246

245

302

444

505

519

484

489

418

738

917

898

868

870

Max
9,356

2,011

9,356

8,780

4,117

9,356

9,356

To test if the discovery dimension can explain some of the variation in citation counts, we
present the incidence rates of negative binomial regression models including control variables
in Figure 2, with one regression for each of the 10 years. Incidence rates for the effect of being
question-driven, driven by a new question or research object, or being against literature are
presented relative to being research object-driven, driven by a known question or research object
and being in line with literature, rispettivamente.

Tavolo 6 presents the regression coefficients of our models, where cumulative citations 1, 2, 5,
E 10 years after publication are used as dependent variables. Models based on cumulative
citations after 3, 4, 6, 7, 8, E 9 years were omitted from this table for readability reasons.
Dummies for the three binary dimensions (with question-driven, new, and against literature coded
COME 1, and research object-driven, known and in line with literature coded as 0) and control variables
for # authors (log) and discipline, with biological sciences as reference category, are included.

4.2.1. Dimension A

We find that being question driven has a positive effect on cumulative citations of scientific break-
through articles. Dopo 10 years, articles that are question driven are estimated to receive twice as

Figura 2.
N years, after controlling for the log of the number of authors and discipline.

Incidence rate ratios based on negative binomial regression on cumulative citations after

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Tavolo 6.

Coefficients for negative binomial regression models

cumu_1y
(1)
0.360***

cumu_2y
(2)
0.337***

cumu_5y
(3)
0.300***

cumu_10y
(4)
0.195

cumu_1y
(5)
0.344***

cumu_2y
(6)
0.319***

cumu_5y
(7)
0.263***

cumu_10y
(8)
0.176

# authors (log)

(0.120)

(0.096)

(0.086)

(0.143)

(0.119)

(0.100)

(0.091)

(0.144)

Dimension A

0.570***

0.655***

0.827***

0.724*

0.382*

0.528**

0.749***

0.699*

(0.303)

(0.310)

(0.422)

(0.586)

(0.254)

(0.278)

(0.409)

(0.602)

Dimension B

0.174

0.135

0.110

0.009

0.110

0.092

0.073

(0.113)

(0.099)

(0.108)

(0.138)

(0.107)

(0.096)

(0.107)

−0.030

(0.148)

Dimension C

0.090

0.109

0.086

0.148

0.038

0.082

0.069

0.160

(0.171)

(0.177)

(0.203)

(0.309)

(0.165)

(0.196)

(0.232)

(0.361)

Constant

3.036***

3.749***

4.677***

5.576***

3.424***

4.036***

4.875***

5.752***

(0.202)

(0.195)

(0.225)

(0.304)

(0.230)

(0.224)

(0.264)

(0.355)

Discipline

excluded

excluded

excluded

excluded

included

included

included

included

Observations

LL

AIC

335

−1,840

3,691

335

−2,084

4,177

335

−2,393

4,796

244

−1,866

3,743

335

−1,758

3,533

335

−1,993

4,001

335

−2,290

4,596

244

−1,755

3,527

Note: *** P < .001, ** p < .01, * p < .05. many citations as articles that are research object driven (Model (8): IR = e0.699 = 2.011). There is a smaller positive effect immediately after publication (Model (5): IR = e0.382 = 1.465), which increases over time and seems to stabilize after 4–5 years and decrease slightly after 8 years. Controlling for discipline in Models 5–8 slightly reduces the effect of being question driven, sug- gesting that part of the effect seen in Models 1–4 is, in fact, due to high citation rates of disciplines that are associated with being question driven. However, this does not alter our conclusion that being question driven has a positive effect on cumulative citations of scientific breakthrough articles. 4.2.2. Dimension B We do not observe a significant association between this dimension and cumulative citations. Our coefficients suggest that there may be a small positive effect of being driven by a new question or research object on cumulative citations shortly after publication, which decreases in later years. This may be caused by the unexpectedness and novelty of the new question or new physical evidence introduced in the breakthrough article, and the sudden interest that this may spark. However, this is not a significant finding. Quantitative Science Studies 1215 l D o w n o a d e d f r o m h t t p : / / d i r e c t . m i t . / e d u q s s / a r t i c e - p d l f / / / / 1 3 1 2 0 3 1 8 6 9 9 7 1 q s s _ a _ 0 0 0 7 9 p d . / f b y g u e s t t o n 0 7 S e p e m b e r 2 0 2 3 A typology of scientific breakthroughs 4.2.3. Dimension C We do not find a significant association between articles going against the literature and cu- mulative citations. Upon visual inspection, there is some indication that breakthrough articles driven by a question or research object that is against state-of-the-art literature receive more citations in later years (year 9 and 10). The trend observed supports the idea that paradigm- shifting discoveries require more time to have an impact before they can be integrated in future knowledge development. However, the results are statistically insignificant. The results of Models 9–16, where we use citations per year rather than cumulative cita- tions per year as dependent variable, are presented in Figure A1 and Table A3. These results are in line with our earlier results. Again, we find that only the question-driven dimension significantly affects the number of citations received. We find that the difference in the number of citations per year between question-driven and research object-driven articles is biggest after 4–5 years. 5. DISCUSSION In this paper, we have developed a typology of scientific breakthroughs and applied this ty- pology to characterize a set of articles reporting on scientific breakthroughs. Using Koshland’s Charge-Chance-Challenge theory of scientific discovery as a starting point, we propose that scientific breakthroughs can be characterized along three dimensions: (a) whether the discov- ery is question driven or research object driven; (b) whether the discovery contributes to a known question or research object or introduces a new one; and (c) whether the discovery is in line with, or against, state-of-the-art literature. We subsequently use the typology to char- acterize 335 breakthrough articles along the three dimensions and analyzed how break- through characteristics relate to scientific disciplines, citation impact, and considerations of use for fundamental understanding and application. One of our main findings holds that the large majority of breakthrough discoveries can be classified as one of Koshland’s discovery types within his Cha-Cha-Cha framework. However, we also observed that a small proportion of breakthroughs could not be characterized as any of Koshland’s types, and some other articles fell into multiple Koshland types. Based on this finding we conclude that, rather than distinguishing between Charge, Chance, and Challenge types, breakthroughs can better be understood as being question driven or research object driven, introducing a new question/research object or a known question/research object, and having a contribution that is against or in line with state-of-the-art literature. We believe that our framework marks an improvement over the original Cha-Cha-Cha theory, as we have made the underlying dimensions explicit and orthogonal to one another, expanding the typology from 3 to 23 = 8 types. Our framework, then, can be used in future research to further probe the antecedents and effects of scientific breakthroughs. It can equally be used to analyze differences between characteristics of breakthrough and nonbreakthrough discoveries. A logical extension of this paper is also to study whether the configurations of discovery dimensions discussed here are distributed differently over breakthroughs than over nonbreakthroughs, and to test whether the citation patterns we found are also observed for nonbreakthroughs. Our main empirical finding holds that most scientific breakthroughs are driven by an already existing question and in line with the state-of-the-art literature. This finding broadens our view of science in that it questions the popular view of scientific breakthroughs as radical, paradigm- shifting discoveries (e.g., Evans, 2016; Ventegodt & Merrick, 2004). Rather, it suggests that the majority of scientific discoveries that are recognized as breakthroughs are better described as “normal science” (Kuhn, 1962). Quantitative Science Studies 1216 l D o w n o a d e d f r o m h t t p : / / d i r e c t . m i t . / e d u q s s / a r t i c e - p d l f / / / / 1 3 1 2 0 3 1 8 6 9 9 7 1 q s s _ a _ 0 0 0 7 9 p d / . f b y g u e s t t o n 0 7 S e p e m b e r 2 0 2 3 A typology of scientific breakthroughs Our analysis also shows that articles reporting on scientific breakthroughs vary considerably in their citation impact. In particular, breakthrough articles that were driven by a research object rather than a question receive far fewer citations. This finding has implications for the interpreta- tion of earlier research on scientific breakthroughs. Previous research has mainly analyzed scien- tific breakthroughs based on citation impact, thereby considering breakthroughs as a homogeneous group of discoveries (Ponomarev et al., 2014; Uzzi et al., 2013; Zeng et al., 2017). In contrast, our findings suggest that earlier research aimed at identifying supportive con- ditions for scientific breakthroughs did not recognize the variety of breakthroughs and may have been biased against a minority of breakthroughs driven by research objects. Therefore, their find- ings may not be generalizable to all scientific breakthroughs. For literature on scientific break- throughs, a next step is to identify how conditions such as team composition and sponsoring affect the occurrence of a variety of scientific breakthroughs, and in particular those breakthroughs that are research object-driven, as we have shown that these have been underrepresented in the literature thus far. In this research, discoveries that were marked as scientific breakthroughs by Science have been leading. This operationalization of scientific breakthroughs has several implications for the generalizability of our findings. In the first place, our research only includes discoveries that are recognized as scientific breakthroughs within a year after publication. Discoveries that are recognized as such in a later phase may not have the same characteristics. For example, their citation impact may differ over time. An interesting avenue for future research would be to distinguish between discoveries that are received as breakthroughs shortly after publication and those that are recognized as breakthroughs later on. An interesting question then holds whether the relative prominence of the three dimensions introduced here differs between early and delayed recognition. In the second place, it is not unlikely that the nomination for BotY in itself affects the way a discovery is received. The increased visibility of the discovery may inspire others to refine the discovery in other research projects, and can lead to an increase in citations or even an increase in the likelihood of receiving a significant prize, such as a Nobel Prize or a Fields Medal. For future research, we encourage alternative approaches to identifying scientific breakthroughs that are more sensitive to delayed recognition and are not based on external assessments. One such approach has been developed by Small, Tseng, and Patek (2017), who identify and characterize biomedical discoveries based on automated text analysis of citing sentences and cocitation analysis. Our analysis of breakthrough discoveries is further limited by what has been reported in the scientific articles. As such, we must limit ourselves to an analysis of the reported drive of the scien- tific discoveries observed, which may not be the same as the actual drive of the discovery. Indeed, authors may present the process of discovery as more linear and rational than it actually has been (Myers, 1985). Similarly, the authors’ motivation to write and publish the article may be different from their motivation to start the reported research project. For example, their original line of enquiry may have resulted in a serendipitous finding that solves an unexpected problem in another line of enquiry (Yaqub, 2018), which might lead the authors to change their narrative as well. Furthermore, our analysis is limited by the limited number of articles considered. With more observations, we could test differences in citation patterns of combinations of dimensions, rather than for single dimensional states. This may help us understand whether breakthrough articles that go against existing theory are accepted by the scientific community faster if they provide an answer to a long-standing question, for example. This is likely, as the question-driven approach of such articles may provide more legitimacy to the anomalous finding than if it were driven by new evidence. We therefore encourage others to extend our analysis to a larger set of break- through articles, potentially also including a broader range of scientific disciplines. Quantitative Science Studies 1217 l D o w n o a d e d f r o m h t t p : / / d i r e c t . m i t . / e d u q s s / a r t i c e - p d l f / / / / 1 3 1 2 0 3 1 8 6 9 9 7 1 q s s _ a _ 0 0 0 7 9 p d / . f b y g u e s t t o n 0 7 S e p e m b e r 2 0 2 3 A typology of scientific breakthroughs ACKNOWLEDGMENTS The authors thank Kyle Siler for help in coding articles and Iris Wanzenböck for useful comments on drafts. AUTHOR CONTRIBUTIONS M. Wuestman: Conceptualization, Formal Analysis, Investigation, Methodology, Visualization, Writing—original draft. J. Hoekman: Conceptualization, Methodology, Supervision, Validation, Writing—review & editing. K. 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Physica A: Statistical Mechanics and Its Applications, 487, 40–46. https:// doi.org/10.1016/j.physa.2017.05.041 l D o w n o a d e d f r o m h t t p : / / d i r e c t . m i t . / e d u q s s / a r t i c e - p d l f / / / / 1 3 1 2 0 3 1 8 6 9 9 7 1 q s s _ a _ 0 0 0 7 9 p d / . f b y g u e s t t o n 0 7 S e p e m b e r 2 0 2 3 Quantitative Science Studies 1219 A typology of scientific breakthroughs APPENDIX Table A1. Examples and key phrases per dimension state Dimension A: The discovery is driven by a question, or by a research object State A1: Driven by question 2006 Cloaking Technology 10.1126/science. 1126493 A0: Driven by research object 2008 Seeing Exoplanets 10.1126/science. 1166585 B: The discovery B1: New introduces a new question/research object, or contributes to a known question/ research object New question 2009 Live Long and Prosper 10.1038/ nature08221 B0: Known New research object 2002 The Tournai Fossil 10.1038/ nature.00879 Known question 2001 Carbon Consensus 10.1126/science. 1057320 Known research object 2006 Tiktaalik Fossil Fish 10.1038/ nature04637 Example “This study develops a general recipe for the design of media that create perfect invisibility within the accuracy of geometrical optics” “High-contrast observations with the Keck and Gemini telescopes have revealed three planets orbiting the star HR 8799 […].” “Inhibition of the TOR signalling pathway by genetic or pharmacological intervention extends lifespan in invertebrates, […]. However, whether inhibition of mTOR signalling can extend life in a mammalian species was unknown.” Key phrases “It has been a long-standing question whether […]”; “[…] remains largely unknown”; “We hypothesize that […]”; “We do not understand the working of […]” “We report the discovery of […]”; “The discovery of […] sheds new light upon […]” “We raise the question whether […]”; “Since we know […] and […], it follows logically to ask […]”, “we hypothesize that […]” “Here we report the discovery of six hominid specimens from Chad, central Africa.” “We report the discovery of […]”; “On [date] we have observed…” “Despite widespread consensus about the existence of a terrestrial carbon sink […], the size, spatial distribution, and cause of the sink remain uncertain (refs).” “Here we describe the pectoral appendage of a member of the sister group of tetrapods, Tiktaalik roseae (reported elsewhere, red.), which is morphologically and functionally transitional between a fin and a limb.” “Earlier research has raised the question whether […]”; “It has been a long-standing question whether […]” “The discovery of […], by [ref], provides us with new insights into […]” Quantitative Science Studies 1220 l D o w n o a d e d f r o m h t t p : / / d i r e c t . m i t . / e d u q s s / a r t i c e - p d l f / / / / 1 3 1 2 0 3 1 8 6 9 9 7 1 q s s _ a _ 0 0 0 7 9 p d . / f b y g u e s t t o n 0 7 S e p e m b e r 2 0 2 3 A typology of scientific breakthroughs Table A1. (continued ) Dimension C: The question/ research object is against, in line with state-of-the-art literature State C1: Against literature 2000 New Cells for Old 10.1126/ science.288. 5471.1660 Key phrases “[…] which is against the theory of […]”, “There are two competing theories, and we present evidence against one in support of the other” Example “The differentiation potential of stem cells in tissues of the adult has been thought to be limited to cell lineages present in the organ from which they were derived. […] We show here that neural stem cells from the adult mouse brain can […] give rise to cells of all germ layers.” C0: In line with literature 2006 Shrinking Ice 10.1029/ 2006GL026369 “We estimate mass trends over Antarctica using gravity variations […], similar to a recent estimate of ice mass loss from satellite altimetry and remote sensing data.” “[…] which confirms the theory of […]”; “[…] so that we can extend the model introduced by […]” l D o w n o a d e d f r o m h t t p : / / d i r e c t . m i t . / e d u q s s / a r t i c e - p d l f / / / / 1 3 1 2 0 3 1 8 6 9 9 7 1 q s s _ a _ 0 0 0 7 9 p d . / f b y g u e s t t o n 0 7 S e p e m b e r 2 0 2 3 Table A2. Examples and key phrases for reported considerations of use Considerations of use Applied 2009 Live Long and Prosper 10.1038/ nature08221 Examples “These findings have implications for further development of interventions targeting mTOR for the treatment and prevention of age-related diseases.” Fundamental 2006 Biodiversity and Speciation 10.1126/ science.1126121 “This work has specific implications for understanding the evolutionary mechanisms responsible for adaptive phenotypic change.” Key phrases “These findings will help us develop […]”; “Our findings can be used to design […]”, “Our findings can provide a platform to cure […]”, “Potential uses of our findings are […]” “These findings will help us understand […]”; “These findings provide insight into […]” Quantitative Science Studies 1221 A typology of scientific breakthroughs Table A3. Coefficients for negative binomial regression models, with noncumulative citation counts # authors (log) cit_1y (9) 0.343*** cit_2y (10) 0.314*** cit_5y (11) 0.202*** cit_10y (12) 0.082 cit_1y (13) 0.324*** cit_2y (14) 0.293*** cit_5y (15) 0.182*** cit_10y (16) 0.065 (0.043) (0.045) (0.061) (0.100) (0.044) (0.047) (0.064) (0.105) Dimension A 0.570*** 0.746*** 1.031*** 0.715** 0.399** 0.662*** 0.978*** 0.692** (0.157) (0.162) (0.222) (0.299) (0.162) (0.172) (0.239) (0.316) Dimension B 0.135 0.099 0.090 (0.109) (0.112) (0.154) −0.027 (0.212) 0.077 0.069 0.053 (0.110) (0.117) (0.162) −0.106 (0.225) Dimension C 0.0004 (0.166) 0.126 0.053 0.241 (0.172) (0.234) (0.314) −0.046 (0.164) 0.114 0.041 0.259 (0.173) (0.240) (0.319) Constant 2.915*** 3.062*** 3.076*** 3.404*** 3.276*** 3.270*** 3.233*** 3.602*** (0.197) (0.204) (0.279) (0.388) (0.223) (0.237) (0.329) (0.457) Discipline excluded excluded excluded excluded included included included included Observations Log Likelihood 335 −1,760 Akaike Inf. Crit. 3,531 335 −1,837 3,685 335 −1,829 3,668 244 −1,265 2,539 335 −1,681 3,377 335 −1,757 3,531 335 −1,752 3,519 244 −1,192 2,400 Note: *** p < .001, ** p < .01, * p < .05. Figure A1. Incidence rate for noncumulative citations after N years, after controlling for the log of the number of authors and discipline. Quantitative Science Studies 1222 l D o w n o a d e d f r o m h t t p : / / d i r e c t . m i t . / e d u q s s / a r t i c e - p d l f / / / / 1 3 1 2 0 3 1 8 6 9 9 7 1 q s s _ a _ 0 0 0 7 9 p d / . f b y g u e s t t o n 0 7 S e p e m b e r 2 0 2 3RESEARCH ARTICLE image
RESEARCH ARTICLE image

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