Correction to: World-wide research architecture of vitamin D research: density-equalizing mapping studies and socio-economic analysis

After publication of the original article [1], the authors reported two errors which needed to be corrected.


Background
Dietary aspects of micronutrients play a major role in health and disease. Vitamin D and its metabolites occupy an important role in many biological processes relevant in tissue homeostasis and metabolism. Hence, a sufficient vitamin D status is crucial for musculoskeletal and extraskeletal health [1][2][3][4]. As elegantly summarized by Zhang and Naughton vitamin D deficiency is a common condition worldwide, especially during winter months [5]. Globally, inhabitants of South Asia and the Middle East have a higher prevalence of lower vitamin D concentrations (less than 25 nmol/L) across all ages than their counterparts in the rest of the world [6].
Although overt vitamin D deficiency is rare in developed countries, subclinical forms occur frequently and are associated with the pathogenesis and progression of neoplasms, hypertension, diabetes, immune disorders such as multiple sclerosis, musculoskeletal conditions, as well as osteoporosis [5]. These epidemiological findings have public health relevance since low vitamin D concentrations are highly prevalent among populations living in high latitudes, mainly indoors, and among those who are older or dark skinned [7]. In this context, national food fortification programmes seem a promising strategy as implemented in Finland by national decrees in 2002 and 2010 [8].
Due to these considerations, vitamin D merits awareness among researchers from many biomedical specialities, and policy makers, as well as public health and healthcare professionals [5]. Numerous scientific questions remain, and more research is required to find answers in the areas of basic science, epidemiology and public health. Globally, funds need to be dedicated to vitamin D research, and future research projects have to be planned according to identified shortcomings. In view of the large number of existing scientific publications related to vitamin D we aimed to assess the global research output and associated scientific networks related to this micronutrient. For this study, we used a previously established study protocol, which combines bibliometric tools and modern visualization techniques including density equalizing mapping [9][10][11].

NewQIS platform
As in recent studies, we employed the New Quality and Quantity Indices in Science (NewQIS) platform to assess the global research productivity on vitamin D regarding quantitative and qualitative aspects, geographical and chronological developments, research networks and socio-economic indicators [12]. NewQIS is an international and multidisciplinary project that combines scientometric tools with density equalizing calculations to evaluate and visualize research activity and quality for the purpose of benchmarking processes [13,14]. It was started in 2008-9, and since then, this approach has been extensively used to dissect the global research output in specific fields of science and medicine ranging from public health and health policy issues [15][16][17][18], to infectious diseases [19], respiratory medicine [20], and tobacco control [13,21]. This platform uses established and standardized techniques for data analysis, which allows the reliable comparison of results generated here to findings of previous NewQIS studies on other diseases and related biomedical fields.

Data source
NewQIS is able to extract data from both PubMed and Web of Science (WoS, Thomson Scientific) databases. For this study, we preferred the WoS. This database offers the advantagous feature of automated 'citation analysis' of its indexed publications [22][23][24].
This term was entered into the WoS search field to identify the total number of published items on Vitamin D and its metabolites. We conducted a "title" search to minimize the identification of off-topic publications and maximize the validity of our search. Additionally, the entries were filtered by document type, only the original articles were analysed. The time frame was set from 01/ 01/1900 to 12/31/2014. We did not regard research productivity in the years from 2015 onwards since data on citation rates would be incomplete at the time data acquisition was performed for this study. The

Data analysis and categorization
As previously described for NewQIS studies on osteoporosis and other diseases [19,24], all published items referring to vitamin D were analysed related to publication date, country of origin, source title, and author. The number of citations and the average citations per item (citation rate) were calculated [19,24]. We illustrated the results in diagrams and density-equalizing maps. The underlying density-equalizing mapping procedures (DEMP) are based on the algorithm of Gastner and Newman [25], and used to visualize the distribution of the total number of vitamin D related publications and the average citation rate of vitamin D-related publications in a country specific manner [25]. Using this approach, separate territories (countries) were resized in proportion to selected variables (e.g. numbers of published items or the average citation rate of vitamin D-related publications).

Analysis of cooperation
International collaborative activities were analysed as earlier described [19,22,24]. If at least two authors came from different countries and contributed to a publication, this relationship was defined as cooperation. To visualize the collaborative productivity for each pair of countries, a vector was calculated -proportional in line width and shade of grey to the number of collaborations [19,22,24].

Socioeconomic analysis
In order to assess the contributions of highly active nations in vitamin D research in relation to their socioeconomic status, the countries´gross domestic products (GDP) were related to their vitamin D research activities as previously described [26]. Economic data were obtained from the World Economic Outlook Database of the International Monetary Fund [27]. Countries were classified as high-income, upper middle-income, or lower middle-income countries.

Research areas
By using the original WoS categories, the subject areas of identified articles were analysed in a country specific manner and with regard to their chronological development in 5-year intervals. The author's key words that have been applied more than 70 times were displayed in a diagram generated by the VOSviewer software [28].

General parameters
In total, 25,992 vitamin D-related research articles were found in the selected databases. From 1900 to 2014, regression analysis demonstrates a significant increase (r 2 = .6541) in published articles. Vitamin D research originates primarily from the USA with a total of 9575 articles (n). We noted a large gap to the next most active country, which is Japan with 2272 vitamin D related publications, followed by the United Kingdom (UK) (n = 1855), Germany (n = 1240), Canada (n = 1183), and France (n = 1163). Countries such as Italy (n = 800), Australia (n = 795), Denmark (n = 732), Spain (n = 712), the Netherlands (n = 636) and China (n = 632) had less than 1000 vitamin D related articles. The DEMP-analysis ( Fig. 1) illustrates that Northern American authorsparticularly authors located in the USAissued the majority of vitamin D related publications, followed by their Western European counterparts. Africa and South America play only a very minor role in global vitamin D research ( Fig. 1).
When we refined the search to synthetic and pharmaceutical forms of vitamin D3, 1.473 Articles (5.6%) were identified. The ranking of the publishing countries remained more or less the same: The USA was identified as the most productive country (n = 345), followed by the UK (n = 140) and Japan (n = 114). The following countries included Germany (n = 108), Denmark (n = 99), France (n = 99), Italy (n = 77), the Netherlands (n = 77), Canada (n = 62) and on 10th position Israel (n = 51).

Socioeconomic benchmarking of vitamin D research
Three rankings were conducted by applying socioeconomic characteristics of publishing countries to their global vitamin D research productivity (Table 1): In the 1st ranking, number of vitamin D articles was related to GDP in 1000 billion (bn) USD (R GDP ). Among highincome countries (HI), Denmark was ranked first with a calculated ratio of 2147.9 R GDP . Israel was in second position with a R GDP of 1734.7 followed by Finland (R GDP = 1607.7). By comparison, the USA was characterized only by a R GDP of 549.7, and Japan had a R GDP of 492.2 (Table 1). When this socioeconomic benchmark was applied to upper middle-income (UMI) countries, Lebanon was ranked first with a R GDP of 781.25. However, it needs to be taken into account that the total amount of Lebanese vitamin D articles was just 39 compared to 222 articles by the Iran, which was ranked second UMI country with a R GDP of 549.4. China with a total of 632 articles had a R GDP of only 49.1 (UMI rank # 8). In the group of lower middle-income (LMI) countries, India had a R GDP of 150.7 (LMI rank # 4). It is noteworthy that density equalizing mapping calculations lead to a world map (Fig. 2a) that exhibits large differences in vitamin D research productivity as measured by absolute numbers of articles (see Fig. 1a).
As a second socioeconomic benchmark of global vitamin D research activities, we calculated the ratio of the number of vitamin D articles per GDP per Capita in USD (R GDPpC ) ( Table 1): In the HI country ranking, the USA was leading with a R GDPpC of 174.7, followed by Japan (R GDPpC = 60.1), the UK (R GDPpC = 49.2), France (R GDPpC = 28.8), and Germany R GDPpC = 27.7. China was first among the UMI countries (R GDPpC = 50). In the LMI group, we identified India as the leader (R GDPpC of 53.3, Table 1).
The third socioeconomic benchmark of global vitamin D research activity was the quotient of vitamin D-related articles and the population size in mill. Inhabitants (R POP ) ( Table 1): In this ranking, the group of HI countries was led by Denmark with a R POP of 131.7. Number two and three were also Scandinavian countries (Finland and Norway with R POP = 82.9 and R POP = 69.1, respectively). Density equalizing techniques illustrate this dominance of Scandinavian countries (Fig. 2b). The USA was ranked 13th (R POP = 30), the UK 15th (R POP = 29.1), Japan 16th (R POP = 17.9, Table 1). Among UMI countries, Lebanon was ranked first (R POP = 6.6). China had a R POP of 0.47. The Ukraine was the most active LMI country with a R POP of 1.5. The R POP of India was 0.25 (Table 1).

Vitamin D international collaborative efforts
In total, 3467 of all vitamin D articles were a result of an international collaboration between at least two different countries (13.34% of all publications). The most common co-operation type in all collaboration articles was bilateral (n = 2821), followed by trilateral (n = 436) collaborations. 99 publications were issued by authors from four countries, and for 29 publications, authors from five countries worked together. Twenty-three publications were collaborative efforts by authors from six countries; 14 publications included researchers form seven countries, and 18 articles included scientists from eight countries. Three  collaboration articles included authors of 13 countries. A net diagram illustrates the bilateral collaborations (Fig. 3): The USA dominates all bilateral collaborative efforts with 1969 collaboration articles among its 9575 vitamin D publications. The majority of these collaborations were established between USA and Canada, USA and the UK and USA and Japan. Among the most active countries in vitamin D research, Canada was leading the overall collaborative efforts with 487 of its 1183 articles being issued within a network of international co-operations.

Vitamin D research areas
Vitamin D research areas were analysed using standard subject categories assigned to the articles by the WoS. Evolution over time was monitored using the subject area as a proportion of the total articles published in five-year intervals (Fig. 4a). This analysis showed an  In order to identify country specific focuses of vitamin D research, we analysed the proportion of subject areas in the ten leading countries and found major differences (Fig. 4b): While 'Endocrinology & Metabolism' was the most popular subject area in all countries, Canada was characterized by a special research interest in 'Nutrition and Dietetics' with about 14% of all its articles focused on this field. Less than 2% of Canadian articles were related to 'Chemistry'. By contrast, 14.6% of Japanese and 16.7% of Spanish vitamin D research were carried out in 'Chemistry'. Among clinical areas, the field of 'Urology and Nephrology' was prominent in Italian and Spanish vitamin D articles with 10.8% and 14.9%, respectively (Fig. 4b).
We analysed the research fields according to the authors' keywords. Here, four main thematic clusters exist (Fig. 5). On the one hand, authors focused on the health consequences caused by vitamin D deficiency and risk factors for deficiency, respectively the risk factors. On the other hand, the different chemical forms of vitamin D (e.g. the synthetic type) and their implications for health were also popular among scientists.

Country citation analysis
In the overall citation analysis (Fig. 6a), the USA again was the leading country with 394,625 citations (c) attributed to its vitamin D articles. The USA was followed by the UK with 68,463 citations. Japanese vitamin D articles were cited 58,054 times, followed by articles from Canada (c = 39,024), Germany (c = 36,159) and France (c = 31,757). The country citations rate (citations per publication of a country, cr) is a semi-qualitative measure and was applied to countries with at least 30 vitamin D related articles. Here, the USA was leading the field with a cr of 41.21, followed by New Zealand (cr = 38.7), and the UK (cr = 36.9). Articles from the Netherlands had 36.4 citations per vitamin D article; Australia had a  Fig. 6b). When the countryspecific h-index was calculated, the USA had a h-index (hi) of 223 (i.e.223 articles were being cited at least 223 times). The USA was followed by the UK (hi = 115), Japan (hi = 95), Canada (hi = 93), Germany (hi = 87), France (hi = 82) and Australia (hi = 80). China had a h-index of 37 (Fig. 6c).

Discussion
Although vitamin D is an important micronutrient that has been associated with various diseases including neoplasms such as breast cancer or prostate cancer [29][30][31][32][33], yet no assessment of the global research productivity related to vitamin D has been conducted so far.
Since vitamin D does not only play a major role not only in nutrition but also in areas such as musculoskeletal medicine, gynaecology or oncology, the concise analysis of global research efforts targets multiple fields and is of interest to a broad spectrum of scientists. Therefore, the present initiative was started by experts in vitamin D research and scientometrics to conduct an in-depth analysis of the existing global research landscape. Using the established NewQIS study protocol, the present study combines novel visualization techniques such as density-equalizing mapping [25] and scientometrics [12].
Prior to the discussion of the results, several methodological issues need to be addressed and taken into account when interpreting the data. As primary database, Fig. 4 Subject areas activity. a Proportion of the 10 most assigned subject areas in five-year intervals in order to gain insights into the field activity. b Country-specific proportion of the 10 most assigned subject areas in countries with the highest osteoporosis research activity we chose the Web of Science (WoS) over PubMed since the WoS enabled us to assess citations in a standardized way. We acknowledge that different numbers of vitamin D related articles would be identified when searching for identical terms in WoS and PubMed, since the two databases include different sets of scientific journals. This points also to the fact that every literature search has its limitations and will not cover all items ever published on a specific topic of interest. In this respect, the language bias needs to be discussed. As with all English literature databases, the WoS has a clear preference for journals published in English. Hence, numerous vitamin D related articles published in non-English scientific journals were not identified by our search. Perhaps, the recent addition of the Emerging Sources Citation Index to the WoS is a response of the database provider to address this problem. The Emerging Sources Citation Index integrates additional high-quality, peer-reviewed publications of regional importance into the WoS. This emphasis on relevant regional journals will result in a higher quantity of non-English publications indexed in this database. Regardless of the number of regional, non-English language journals, it can be assumed that high quality articles are typically published in international journals. These journals tend to have high impact factors and are usually included in the WoS. Therefore, the present study should encompass nearly all highly relevant articles related to vitamin D.
In our study, we identified a total number of 25,992 vitamin D articles which have been authored from 1900 to 2014. In order to correctly assess the results, we provide a comparison to another intriguing and common medical issue, gestational diabetes, that has been evaluated similarly. In the period from 1900 to 2012, only 12,504 articles on gestational diabetes were identified in the same database [12]. While the global output on vitamin D was approximately double that on gestational diabetes, the relative global distribution was about the same, with a domination by industrialized North-American, and Western European nations [12]. Concerning Japan, there were differences in both research areas. While Japan was the second most active country in vitamin D research with 2272 publications between 1900 and 2014, it had less than 300 articles related to gestational diabetes [12]. This finding may due to the low prevalence of GDM in Japan, which is documented at 2.9% [34].
Apart from recent years in which the association between vitamin D and its receptors and different neoplasms were widely discussed [35][36][37][38][39], the micronutrient vitamin D has been studied as a key player in the prevention of osteoporosis [40,41]. Therefore, it is enticing to speculate whether the global vitamin D research landscape largely parallels the osteoporosis research landscape. A recently published study, that used the identical platform, identified 57,453 entries related to osteoporosis authored from 1900 to 2012 [22][23][24][25][26]. The USA was the most active county with 18,512 osteoporosis publications, followed by the UK, Germany, Japan, France and Canada. Hence, a similar distribution of productivity was found for osteoporosis and vitamin D research; the top six productive countries were the same, but appeared in Fig. 5 Main key word analysis. Analysis of key words, which were attributed for a minimum of 70 times a different order. Although an association between the two scientific fields could be assumed, we hypothesize that the similarity most likely depend on the general publishing power of these respective countries. We want to underline this statement by a previous benchmarking study, which analyzed 5,527,558 publications on 21 organ Fig. 6 Citation analysis. a Density-equalizing map of country total citations. The area of each country was scaled in proportion to its total number of citations. b Density-equalizing map of country citation rates (threshold: 30 vitamin D related articles). The area of each country was scaled in proportion to citations per published article rate. c Density-equalizing map of country-specific h-indices (modified). The area of each country was scaled in proportion to country-specific h-indices systems that were authored from 1961 to 2007. Here, the USA was the most productive nation and issued 1,893,800 publications. UK, Germany, Japan, France and Canadathe major key players in vitamin D and osteoporosis researchwere also found among the seven most productive nations in 21 biomedical fields [42].
The relative resource allocation of single countries to vitamin D research is of major interest for the scientific community and health services system research. For this, we employed three socioeconomic benchmarks to the field of vitamin D research, which consisted of the following ratios: Research output 1) to the countries´GDP in 1000 bn USD, 2) to country GDP per Capita, and 3) to the population size. The world map of the scientific productivity in relation to socioeconomic aspects changed dramatically in comparison to the maps depicting absolute quantity or quality of evaluated research. Clearly, Scandinavian countrieswith Denmark in the leading positiondominated two of the three socioeconomic benchmarks. This finding reflects the strong dedication of these countries to vitamin D research. Science is done with high efficiency since Scandinavian researchers generate the highest quantity of articles in relation to their nations' economic power and scientific manpower. The dominance of Scandinavian countries in this particular analysis is largely similar to their dominance regarding other medical topics such as ovarian cancer [43] or maternal depression research, which are areas with great importance for public health [43].
Overall, vitamin D hypovitaminosis is a global problem, which is prevalent in almost every region of the world. That is why significance must be attributed to this matter in relation to many health issues worldwide. Many important research topics remain and need to be addressed such as the paucity of epidemiological data from Africa or parts of Asia [6], reliable and accurate assay methods, and differences in vitamin D metabolism by ethnicity. Research needs to be fostered by funding and collaborative networks, which should include countries with a low vitamin D status to exchange data and gain knowledge together. The vitamin D standardization program (VDSP) is an excellent example of a state of the art approach to the problems encountered [44][45][46].

Conclusions
We here present the first analysis of the global research productivity on vitamin D. We assessed all articles related on this topic that have been published since 1900 in the WoS.
Scientific networks dedicated to Vitamin D research have been established around the globe. Here, highincome countries such as the USA are authoring the majority of high impact articles and spearheading the leading number of collaborations. However, we identified gaps within the global scientific community: South American, African and Asian countries apart from Japan only play a very minor role in worldwide activities. Since awareness of vitamin D status is currently increasing in the Americas, Europe and parts of the Middle East [47], funding agencies should focus on vitamin D research in these regions.