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Original article

Bibliometric Analysis of the United Kingdom’s Contribution to Scientific Literature in the Field of Optometry

Francisco J Povedano Montero, B Optom MSc1,2*, Francisco López-Muñoz, MD, PhD1,3,4,Fernando Hidalgo Santa Cruz, OD, PhD, FAAO5

1Faculty of Health Sciences, Camilo José Cela University, Madrid, Spain.
2Centro Óptico Montero, Madrid Spain.
3Department of Biomedical Sciences (Pharmacology Area), Faculty of Medicine and Health Sciences, University of Alcalá, Madrid, Spain.
4Neuropsychopharmacology Unit, “Hospital 12 de Octubre” Research Institute (i+12), Madrid, Spain.
5Centro Boston de Optometría, Madrid, Spain

*Corresponding author: Francisco Javier Povedano Montero, Bulevar de Indalecio Prieto, 32 (Centro Óptico Montero). 28032 Madrid (España). Tel: 91 3050303; Email: grupocom6@gmail.com

Submitted: 09-28-2015 Accepted: 11-06-2015 Published: 11-18-2015

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Article

 

Abstract
 
History: Optometry is a young discipline undergoing expansion, in which English-speaking countries predominate in this
scientific field.

Purpose: We have conducted a bibliometric analysis of scientific publications of British researchers in the field of Optometry
beginning from 1972 (date of first publications) until 2013, to compare its production with other countries.

Methods: For this study, the EMBASE database was used using “optomtr*”, “optic*”, “visual”, “vision”, ”eye*” and “ophthalm*”
as search terms. To the selected publications, we applied a series of bibliometric indicators such as Price’s law on the increase
of scientific literature, the doubling time of production, Lotka’s law of scientific productivity, Price’s transience index,
and Bradford’s Law of scattering of scientific literature, and the degree of collaboration among authors was also analysed.
Furthermore, the scientific output was correlated with socio-medical data (per capita income and Health expenses).

Results: The number of published articles retrieved for the period 1972–2013 was 3,331. The UK ranks second in optometric
production. The growth of publications was more linear (r = 0.9093) than exponential (r = 0.8434). The doubling time of
scientific production was 4.97. The level of productivity corresponded to medium-size producers (81.70%) and a transience
index of 9.75%. %. The collaboration index is 87% and the degree of collaboration is 0.88. The collaboration index was 3.78.
The Bradford core was formed by three journals with an impact factor greater than 2, in which Ophthalmic and Physiological
Optics with 20.38% accumulated the greatest number of articles.

Conclusions: English-speaking countries account for the majority of the production in Optometry. Research in the UK is in
an established phase that shows linear growth in scientific output, as demonstrated by the low transience index and the high
percentage of authors found to be medium-size producers. We found a high concentration of publications in a small number of journals.

Keywords: Bibliometrics; Optometry; Vision Science; United Kingdom; Price’s Law

Introduction

Optometry is a relatively young discipline that has undergone
major developments in recent decades, with English-
speaking countries predominating in this scientific
field, particularly the United States and the United Kingdom.

There has been some controversy with regard to the origin of the
word “optometry,” which seems to have first appeared in 1759
in the work “Treatise on the Eye, the Manner and Phaenomena
of Vision.” by William Porterfield. The first university studies
were conducted in the United States at the Illinois College of
Optometry, founded in 1872, and at the New England College
of Optometry in 1894 (then the Klein School of Optics) [1]. In
1886, E. Landolt, in his book “The refraction and accommodation
of the eye and their anomalies”, began to use the term “optometry”
to describe refractive procedures, leading to the generalization
of this term in the first decades of the twentieth century.

The first European records in the field date from 1895 when
the first professional organization, The British Optical Association
(BOA), was founded. At the start of the late 19th century,
visual tests and their dispensations were performed by ophthalmic
opticians. The first schooling in the discipline was given
in the early 20th century by the pioneering Northampton
Institute, the Manchester College of Technology and Glasgow
and West of Scotland Technical College [2].

According to the World Council of Optometry (WCO) Congress
in Kyongju, Korea (April 25, 1997), optometry is defined as “a
health profession that is autonomous, educated, and regulated
(licensed/registered), dedicated to eye and vision care, that understands
refraction and dispensing, detection/diagnosis and
management of disease in the eye, and the rehabilitation of conditions
of the visual system” [3].

Although this discipline has become stronger from a scientific
perspective, there is no objective data to support this claim,
thus making it necessary to establish a set of parameters to
prove the growth of optometry. Another factor to consider is
the continued restriction of resources earmarked for scientific
research, making it imperative to establish the best way in
which to allocate funds. It is therefore necessary to begin an
evaluation of scientific activity to identify the centres, groups,
and researchers that conduct productive and high-quality
work. The promotion of scientific quality will be one of the
main purposes of this assessment activity [4].

The scientific process is analogous to the economic model created
by Leontief, [5] which takes into account a cost-benefit analysis, which we will call the “input”, and the investment result,
which we will call “output” [6-8]. Both the input and output
are quantifiable. The input makes reference to the materials
and human resources available to the investigation, such as
financial resources, human resources, scientific knowledge, infrastructure
and equipment, and materials and products used,
[9] regardless of the results obtained. The output indicators
refer to results originating from scientific activity, such as articles,
conferences, and patents, which may be quantitative if the
productivity or number of publications is measured, or qualitative
if the quality of the productivity is assessed. This measure
is complicated because the results are intangible, as they
involve measurements of the knowledge generated during the
research process, as well as its impact and influence.

The results of scientific research are difficult to assess, therefore
making necessary the use of analytical methods that allow
us to examine different aspects of research capacity. The
parameters used for the evaluation process of any activity can
be defined as “indicators.” A set of indicators are used to highlight
each and every aspect of the object being evaluated [10].
Currently, revisions to science policy would not be understood
without resorting to the existing indicators.

Bibliometrics, through its indicators, focuses on calculating
and analysing the quantifiable values of consumption and scientific
production [11,12]. It can be defined as the science of
the nature and course of a discipline, with regards to publications,
through the computation and analysis of various aspects
of written communication.12 Bibliometrics encompasses the
acquisition, treatment, and handling of quantitative bibliographical
data from scientific publications [13].

The Organisation for Economic Co-operation and Development
(OECD) refers to bibliometrics as a tool by which one can
observe the state of science and technology through the global
production of scientific literature in a given level of specialisation
[14].

Our group has studied, using a bibliometric approach, the evolution
of scientific literature in different areas (i.e., psychiatry,
neurology, gynaecology, and phytotherapy) that pertain to different
aspects of various disorders and specific therapeutic
modalities [15-21]. In this study, we analysed the evolution of
British scientific output in the area of optometry. Other objectives
were to study the productivity of authors and their degrees
of collaboration, and to identify the choices of journals
for publication.

Materials and Methods

The databases used in this bibliometric study were MEDLINE
(Index Medicus, U.S. National Library of Medicine, Bethesda,
Maryland, USA) and Excerpta Medica (Elsevier Science Publishers,
Amsterdam, Netherlands), considered to be the two most exhaustive biomedical literature databases that participate
in EMBASE Biomedical Answer web (Elsevier B.V.). EMBASE
Biomedical Answer web has over 25 million indexed
records from 1947, including articles, reviews, conferences,
notes, letters, and communications, and covers over 8,400 biomedical
journals from 90 countries.

Using remote downloading techniques, we chose papers containing
the following descriptors: in the AD (author address)
section: United Kingdom; in any field of record: optometr*, visual,
vision, eye*, or ophthalm*; in the field AD: optic*, and those
published from 1972 (the first British publications) to 2013.

For the purposes of this study, we considered all original articles,
brief articles, reviews, editorials, letters to the editor, etc.,
and all duplicate papers were omitted. The database used thus
by its very nature allows for the elimination of items that may
be duplicated in each of the other databases (MEDLINE and
EMBASE).

In the present study, we applied the following bibliometric indicators:
Price’s index, doubling time and annual growth rate,
Lotka’s law of scientific productivity, Price’s transience index,
Bradford’s zones, and the co-authorship index.

Among the bibliometric indicators of production, we applied
Price’s law [22]. This law is the indicator most widely used to
analyse the productivity of a specific discipline or a particular
country, and to reflect the fundamental aspect of scientific
production, which is its exponential growth. To assess whether
the growth of scientific production in optometry follows
Price’s law of exponential growth, we made a linear fit of the
data obtained, according to the equation y = 4.8738x – 25.476,
and another adjustment to an exponential curve, according to
the equation y = 6.9378e0.0905x.

Other quantities related to growth are doubling time and annual
growth rate. The first is the amount of time required for
the subject matter to double its production; the annual growth
rate represents how the magnitude has grown over the previous
year, expressed as a percentage. The equation used for
calculating the doubling time (D) is:

Here, b represents the constant that relates growth rate to the
size of the science acquired. To calculate the annual growth
rate, we used the following equation:

R=100(eb -1)

Lotka formulated the frequency distribution of scientific productivity
according to the number of published articles, also
known as the “inverse square law of scientific production”
[23]. It analysed authors’ publication volume, stating that the
number of authors who publish fewer papers is greater than
the number of authors who publish many papers [24]. In mathematical
terms, the original law is expressed by the formula:
( )
( )

According to this index, authors are distributed into three levels
of productivity: small producers: those who publish one article;
medium-size producers: those who publish between 2–9
articles; and large-scale producers: those who publish 10 or
more articles.

The productivity index or level of productivity (PI) is one of the
key indicators, corresponding to the logarithm of the number
of author publications

It is also interesting to determine the number of authors with
a single publication. This is known as the transience index or
Price’s law. Its calculation is given as the percentage ratio of
authors with one publication to the total. Mathematically, it
would be expressed as:

The last indicator that we will use is the scattering index known
as Bradford’s zone. Samuel C. Bradford explained that the highest
percentage of bibliographical output in a particular subject
tends to concentrate in a small number of journals. This observation
implies a rapid decrease in the usefulness of expanding
the reference search away from its core [25]. The most common
way to represent this law is through a semi-logarithmic
plot, which represents the calculated number of articles, R(r),
versus the cumulative number of journals, r. In this semi-logarithmic
diagram, the logarithm of the cumulative number of
journals is used as the abscissa and the cumulative number of
articles is used as the ordinate. In this way, once the data are
graphed, the articles are distributed into approximately three
equal parts. One is the nucleus or core, and the other two are
the peripheral zones (linear zone). In the core, the number of
articles increases slowly, giving rise to a curve, defined as the
Groos droop[26]. This model allows the identification of the
journals most widely used or with greatest weight in a given
field of scientific output.

As an indicator of the publications’ influence, we used the impact
factor (IF). This indicator, developed by the Institute for
Scientific Information (Philadelphia, Pennsylvania, USA), is
published annually in the Journal Citation Reports (JCR) section
of the Science Citation Index (SCI). The IF of a journal is
calculated based on the number of times the journal is cited
in source journals of the SCI during the previous 2 years and
the total number of articles published by that journal in those
2 years. The JCR lists scientific journals by specific areas, ascribing to each of them their corresponding IF and establishing
a ranking of “prestige”[27]. In this study, we used the IF data
from 2013, published in the JCR in 2014.

Another indicator included in this analysis was per capita income
and investment in health related to the production generated
in this scientific field. This data was obtained from the
Department of Health Statistics and Informatics of the World
Health Organization [8].

Results

Based on the search criteria used, we retrieved 3,331 original
documents (articles, reviews, letters to the editor, etc.)
for the period between 1972 and 2013. Figure 1 shows their
chronological distribution

Figure 1. Chronological distribution of scientific publications in optometry
in the United Kingdom.
 
To assess whether the growth of scientific production follows
Price’s law of exponential growth, we made a linear fit of the
data obtained and an adjustment to the exponential curve. According
to these mathematical expressions, the r value (correlation
coefficient) is greater for the linear adjustment, with a
value of 0.9093, which reveals the quality of the representative
power of the function against the exponential curve, which is
r = 0.8434. It can be concluded that optometry research in the
UK is going through a lineal growth phase. The annual growth
rate for the entire study period was 29.78%.

Figure 2. Temporal evolution of British scientific output in optometry
 
To calculate doubling time, the scatter plot in Figure 2 shows
the temporal production of publications along the trend line,
which was fitted to the equation y = 22.645e0,1394x, with a correlation
coefficient of 0.8615. This production corresponds to
42 years and a doubling time of 4.97.

The total number of documents compiled for the field of optometry
was 25,280, with the US and UK showing the highest
productivity, as seen in Table 1. This data was obtained using
the search criteria previously described and pairing each specific
country.

Table 1. Distribution of documents on optometry from the world’s
most productive countries.

The productivity indices (IP, logarithm of the values of n for
each author) allow us to establish three levels of productivity,
corresponding to those described by Lotka,23 and are shown
in Table 2. The largest group consists of medium-size producers
(0<PI<1) with 81.70%, whereas the transience index (authors
with a single publication) is 8.55%.

Table 2. Author dispersion according to productivity level.

Table 3 shows author classification based on level of productivity.
The most productive author had 114 publications, which
means that 0.05% of authors contribute to 3.84% of publications,
whereas 171 authors, 8.55% of the total, contributed
only one publication each.

Of the 3,331 documents generated in the UK included in this
study, there were 12,594 co-authors (Table 4). This means that
the co-authorship index, indicative of author collaboration in
the production of articles, is rather low, with an average of 3.78
co-authors per article.

Table 3. Productivity of British authors.

The collaboration index proposed by Lawani [29] would result in:

Where IC is the collaboration index, jfj is the number of
publications in collaboration in a given period of time and N is
the number of documents published during that time.
 
Table 4. Number of co-authors per first-author publication.

To quantitatively determine the degree of collaboration, we
used the formula expressed by Subramanyan: [30]

Where C is the degree of collaboration, Nm is the number of
research articles by multiple authors during a determined
amount of time, and Ns are articles published by a single author
in that period.

To represent the number of authors and their publications, we
used a logarithmic graph (Figure 3), which adjusts to the equation
y = 797.32x-1.638 with a correlation coefficient of 0.8875.

The journals used by British researchers in our sample number
408. The first zone or core is composed of three journals,
accounting for 37.02% of all articles published. Table 5 shows
the division by Bradford zones, the average number of articles
(1,110.33) and the multiplication factor.
 
Figure 3. Number of author publications.

The graphical distribution of Bradford’s zones for the entire set
of journals is represented in Figure 4. It should be taken into
account that it is a semi-logarithmic diagram that represents
the cumulative number of articles against the cumulative number
of journals (r). The straight zone has been considered for
r = 5 and was fitted to the equation y = 452.13ln(x) + 926.89,
with a high correlation coefficient (0.9927). The Gross droop
was observed for r = 90.

Figure 4. Bradford’s distribution of global data.
 
Table 5 shows the core journals, their abbreviated names and
their country of origin. We can see that of the three journals,
two are published in the United States and one is published
in the UK, where Ophthalmic and Physiological Optics amassed
the greatest number of publications.

In terms of social and health parameters, if we correlate the
scientific production per capita income and investment in
health (GDP per capita, the total per capita expenditure on
health), we see that from 1995 to 2012 production grew at a
rate of 5.65%, the per capita income increased at 4.32%, and
health expenditure grew at 6.22% (Figure 5).
 
Table 5. Bradford’s zones, showing distribution of journals
 
Figure 5. Relationship between scientific production, total expenditure
on health and gross domestic product. Economic data is expressed
in international dollars.
 
(a) The World Bank. The per capita GDP is obtained by dividing GDP
by the number of inhabitants
(b) The World Health Organization. (http://apps.who.int/nha/database/
ViewData/Indicators/es).

Table 6. Core journals found in Bradford’s distribution.
 
Discussion

Bibliometric studies have become essential tools for evaluating
scientific activity, allowing a global vision of the growth,
size, and distribution of the scientific literature associated
with a particular discipline [31-33]. As reliable and universal
methods of measuring the productivity of a sector, these tools
will be increasingly required in countries with greater scientific
development [34].

However, the limitations of this sociometric approach should
also be noted, along with its benefits. For instance, bibliomet-ric studies do not take into account either the quality of the
publications or the fact that the results of scientific activity are
measured only according to publication. Some aspects that are
not considered are teaching, applied research, scientific dissemination,
specific investigators, and the highlighting of particular
publications by different authors [35,36].

One of the strengths presented in this analysis is the use of an
exhaustive database to minimize methodological limitations
arising from the retrieval of records, thus allowing the correct
use of bibliometric indicators and reducing the relativity of the
data as much as possible [31,32]. Taking this into account, the
design of this study allows us to assess certain aspects of British
research in the field of optometry.

Most optometry research in the world is produced in English-
speaking countries (the United States, the United Kingdom,
Australia, Canada, and New Zealand), accounting for
65.75% of scientific production. The UK ranked second in
research output in this field, the same ranking it obtained in
other biomedical fields such as medicine, nursing (source:
SCImago Journal & Country Rank), and primary care [37].
When compared to the total production volume, the UK is in
third position in the world ranking (source: SCImago Journal
and Country Ranking).

Our studies found that the volume of scientific literature produced
in the UK has significantly increased, with an average
growth of around 30% since 1972, and a doubling time of close
to five years (4.97). This increase is higher when compared
to production in other areas. For instance, primary care had
an average increase of 7.28% between 2001 and 2006; the
medical area had an average increase of 3.76%; and research
output in general had an average increase of 4.13% for the
period between 1996 and 2013 (source: SCImago Journal &
Country Rank). To this effect, the decade of 1981–1990 produced
a higher increase (256.19% over the previous period)
but slowed in the following decades. This strong growth may
be due to the impetus given by the creation in 1980 of the College
of Optometrists, resulting from the merger of The British
Optical Association (BOA) and The Worshipful Company of Spectacle
Makers (SMC). This finding indicates a strengthening of
research in this field, showing linear growth in production, as
observed in the mathematical adjustment of the trend line in
Figure 1.

Another piece of data that supports the strengthening of research
in this area is the low rate of transience and the fact that
most authors are classified as medium-size producers, unlike
other indicated areas, which show a more elevated transience
index [38,39].

The overall rate of collaboration is high at 87%. Cooperation
between authors is an indicator that reflects the importance of
teamwork and reveals a trend on the increase in the number
of authors in the experimental sciences. This is due to the high
cost, complexity and specialization of the research [40,41].
With regard to the degree of collaboration, this is set at 0.88,
which represents a value greater than that produced in other
areas [41-43]. The mean value obtained for co-authorship index
is 3.78, with the majority representing articles with 2 and
3 co-authors (close to half of the documents [46.54%]). However,
this index is below that indicated for other biomedical
disciplines, which is set at around five [44-48].

We observed that a high volume of articles are published in
just a few journals, with only three journals accounting for
37.02% of publications. Moreover, it should be noted that the
core journals used by researchers have an IF greater than two.
The journal Ophthalmic and Physiological Optics accounted for
the highest number of publications with 679 articles overall,
representing 20.38% of all publications. The selection of this
journal as the journal of choice was similar to those indicated
by other authors [49].

Another aspect of interest is the correlation between the scientific
output, health expenditure, and per capita income, keeping
in mind that greater health expenditure does not necessarily
equal greater scientific output. The scientific output of
a country in a particular field reflects research policy, without
being dependent on a specific economic circumstance [17,18].
In this case, despite observing an increase in health expenditure,
the number or articles published did not increase at the
same rate, a situation that has already been noted in other areas
of study [50]. On the other hand, the growth in the number
of publications is greater in relation to per capita income.

Readers are warned against over-interpreting the findings of
this study, because it has several limitations, inherent to its
bibliometric nature [51]. First, not all papers on optometry
from the United Kingdom were included. This bibliometric
study includes papers from the EMBASE Biomedical Answer
web. The criteria set by the databases themselves determine
the subsequent development of the studied materials [34,52].
Papers from national or local journals that were not included
in MEDLINE and Excerpta Medica, and those contributions at
scientific conferences and meetings were excluded. Additionally,
we included only those papers with British corresponding
authors in this study.

The originality of this research lies in the absence of relevant
publications, which will allow the comparison of these data
with those obtained in the future and substantiate its evolution.

Taking into account the limitations and strengths set out above,
we have been able to provide an overview of the representativeness
and evolution of international research on optometry in the United Kingdom, confirming its high standing. The originality
of this research project is reflected by the absence of
other publications on the subjects. It means our findings will
be able to be compared with those obtained in the future and
that possible future changes can be monitored, since at present
British optometrists have varying aspirations, such as for
example the use of medications to treat certain eye conditions.

Disclosure

The authors do not have any conflicts of interest, including
financial support.

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Cite this article: Optom. Bibliometric Analysis of the United Kingdom’s Contribution to Scientific Literature in the Field of Optometry. J J Ophthalmol. 2015, 1(2): 011.

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