Flawed citation practices facilitate the unsubstantiated perception of a global trend toward increased jellyfish blooms
Abstract
Speculation over a global rise in jellyfish populations has become widespread in the scientific literature, but until recently the purported ‘global increase’ had not been tested. Here we present a citation analysis of peer-reviewed literature to track the evolution of the current perception of increases in jellyfish and identify key papers involved in its establishment. Trend statements and citation threads were reviewed and arranged in a citation network. Trend statements were assessed according their degree of affirmation and spatial scale, and the appropriateness of the citations used to support statements was assessed. Analyses showed that 48.9% of publications misinterpreted the conclusions of cited sources, with a bias towards claiming jellyfish populations are increasing, with a single review having the most influence on the network. Collectively, these disparities resulted in a network based on unsubstantiated statements and citation threads. As a community, we must ensure our statements about scientific findings in general are accurately substantiated and carefully communicated such that incorrect perceptions, as in the case of jellyfish blooms, do not develop in the absence of rigorous testing.
Introduction
The identification of patterns in nature usually occurs through the accumulation of frequent consistent observations, typically involving a synthesis of a large number of scattered scientific reports addressing specific questions – a ‘development-by-accumulation’ of accepted facts and theories (Kuhn, 1962). Generally, the consistency among primary observations will be captured in narrative reviews and eventually in formal meta-analyses. This process of accumulation leads to the establishment of patterns and, once formally tested by the scientific method, theory. The path from primary observations to theory is provided by a network of citations that guide the reader from the final synthesis to the source of individual observations, thereby ensuring that the process is reproducible. This entire process, therefore, critically depends on the quality of the primary observations and on the accuracy of citation practices carrying knowledge across networks of papers (Todd et al., 2010). As Dupps (2008) notes citations are ‘a form of academic succession, a lineage of ideas and proofs, into which we place our own work’.
Citations, however, are subject to errors of bias and inaccuracy (Dupps, 2008). Mis-citation and publication bias are artefacts of paradigm development across fields. The steep growth of the scientific literature, at 7.7% per year for ecological sciences (Andersen et al., 2008) with over 2.2 million papers added to the Web of Knowledge in 2012 alone, is now producing a Babelian tower of information challenging the capacity of individual scientists to maintain a solid grasp on the literature that underpinned rigorous citation practices in the past. As a result, there is growing concern and evidence that citation practices may be prone to considerable errors of accuracy and bias (Harzing, 2002; Todd et al., 2007, 2010).
Following a qualitative study pointing at gross misquotations (Harzing, 1995), Harzing (2002) conducted a pioneering quantitative analysis of citation networks to show that poor citation practices had created the false perception that repatriation rates of foreign workers were high. More recently, Todd et al. (2007, 2010) observed high and consistent rates of mis-citation in the general ecology and marine biology literature with only 76.1% and 75.8% of citations, respectively, clearly supporting the assertions made in each discipline. Errors of accuracy in citation are particularly concerning because they may have considerable influence on the development of perceptions within a discipline if they are persistent and biased in a particular direction (Harzing, 2002).
A particular case of a perception lacking robust scientific evidence is that of the perceived global increase in jellyfish blooms (Condon et al., 2012). This perception percolated from scientific literature into media reports (Condon et al., 2012) and policy statements (e.g. Turley & Boot, 2010) prior to the two meta-analyses that finally tested the hypotheses (Brotz et al., 2012; Condon et al., 2013). These meta-analyses provided evidence of increasing jellyfish blooms in 28 of 45 (i.e. 62%) large marine ecosystems investigated (Brotz et al., 2012) and 30% of long-term records of jellyfish abundance (Condon et al., 2013), with the latter also indicating that global jellyfish populations undergo multi-decadal cycles. Hence, whereas the hypothesis that jellyfish may be rising globally cannot be rejected, it cannot be fully supported with the data available and the global trend of jellyfish blooms remains inconclusive. Here we examine how the perception that jellyfish blooms are rising developed in absence of quantitative meta-analysis and solid evidence.
Given that mis-citation is widespread in ecology (Todd et al., 2007) we ask here whether chains of citations may have contributed to transforming suggestions that jellyfish blooms ‘appear to be rising in some areas’ into assertive statements on a ‘global rise in jellyfish’. We analysed a network of citations on trends in jellyfish populations to assess the hypothesis that mis-citation practices contributed to the perception that jellyfish blooms were increasing globally in the absence of rigorous analysis supporting the assertion.
Methods
Classification of statements on jellyfish population trends and citation assessment
All available papers (n = 225) published on jellyfish ecology between 1987 and April 2012 (prior to Brotz et al., 2012, the first global analysis of jellyfish populations) were collated through an exhaustive search on Google Scholar (GS) and Web of Knowledge (WOK). The search terms used were: ‘jellyfish’ or ‘jellyfish blooms’ or ‘ctenophore’ or ‘gelatinous zooplankton’; ‘population’ or ‘abundance’ or ‘distribution’; ‘change’ or ‘trend’; ‘increase’ or ‘increasing’ or ‘rise’ or ‘rising’; ‘global’ or ‘worldwide’ or ‘regional’ or ‘region’.
The compiled literature was sorted in two stages. First, we searched for statements on jellyfish population trends. Only statements about historical (rather than future) trends in jellyfish populations were included. We included generic statements (i.e. those without a spatial reference) and statements that referred to global or multi-regional spatial scales. Papers with regional/local statements were excluded, unless other papers cited them. An important caveat is that our goal was not to report on any findings of the authors, but to specify trend statements made by authors at global or multi-regional scales. Hence, such statements usually did not stem from the results presented and were often encountered in the introduction or discussion/conclusions section supported by reference to previous research rather than the research presented in the paper being assessed. Because we only assessed papers published prior to the first global analysis of jellyfish populations (i.e. Brotz et al., 2012), none of the statements found could have been based on a formal global analysis and, therefore, were necessarily supported by inferences made by prior research. Papers making statements that referenced other sources were defined as ‘citing papers’ and papers used to support these statements were ‘cited papers’. Papers that were not available in digital form were scanned and included in the database (i.e. Sanz-Martín et al., 2016).
Statements of the citing papers were classified into five spatial categories and six degrees of affirmation. The spatial categories were: (1) generic (no spatial context provided); (2) global; (3) multiple regions, (4) regional, and (5) cannot verify. For analyses, categories 1 and 2 were combined (generic/global) because, whether or not intended by the author, statements that were not framed within a spatial context can be interpreted by others to refer to a generic situation and, therefore, contribute to the perception that increases in jellyfish populations were occurring throughout the world's oceans. The affirmation degrees were: (1) are or have been increasing; (2) may be or appear to be increasing; (3) equivocal; (4) decreasing; (5) no trend statement, and (6) cannot verify. For instance, Brodeur et al. (2011) wrote ‘Evidence is accumulating that gelatinous zooplankton populations have increased recently in many regions of the world (Purcell et al., 2007; Richardson et al., 2009)’. This statement was classified as ‘multiple regions’ and ‘are increasing’ (Sanz-Martín et al., 2016.).
When papers contained multiple statements, the paper was categorized using the broadest spatial scale it referred to and its maximum degree of affirmation regarding trends in jellyfish populations. The category of ‘equivocal’ referred to several conditions that included statements that trends were unclear or variable, that there were no representative data or evidence from which to draw conclusions, or that some species were increasing whilst others were not.
Citations classified as ‘cannot verify’ referred to entire volumes of conference or workshop proceedings that were cited without identifying individual papers within the volume supporting the claim. Three such volumes, Purcell et al. (2001), CIESM (2001) and Dumont et al. (2004), have been cited five times, twice and once, respectively (from 306 citations) (Sanz-Martín et al., 2016). Some books, despite being correctly cited, could not be included in our study because they cannot be tracked in WOK. Citations of papers written in Chinese, Japanese or Russian with English abstracts in support of statements on jellyfish trends were excluded from the analysis.
Each statement was independently assessed by two of the authors. Whenever the classifications were disputed, a third author was consulted and the statement was discussed until a consensus was reached, thereby providing rigorous quality control of the data set.
- Supported (score = 0), where the statement was well defined and the cited paper provided explicit support using affirmations in the text or outcomes presented.
- Ambiguous (score = 1), ambiguous affirmations were not inconsistent with the statement but precluded a clear interpretation of the statement. This category was usually assigned when all references were placed at the end of a sentence instead of after the appropriate phrase within a sentence, thereby preventing unambiguous assessment of which phrase the reference was intended to support
- Empty citations (score = 1), where the statement in the cited paper referred to by the citing paper was not an outcome of the research presented in the cited paper, but referred to prior research (Harzing, 2002; also called ‘lazy author syndrome’ by Gavras, 2002). These statements were typically found in the introduction and were used to frame the research of the cited paper.
- Selective (score = 1), where a paper was cited despite that paper also having presented information that did not support the statement.
- Cannot verify (score = 1), where a statement was supported by a reference to a volume or conference proceeding, rather than any specific chapter or paper.
- Unsupported (score = 3), where the citing paper contained no statement that could possibly support the affirmation made in the citing paper. Unsupported statements were assigned the higher value of 3 because the use of references that did not in any way support the statement was considered to reflect a much more serious citation error than those that were cited selectively or ambiguously.
The Todd classification (i.e. the appropriateness assessment) did not necessarily align with the selected statement for the network because the most extreme statement issued in a paper was always selected and a Todd classification could differ from the most extreme statement if the author also issued more moderate or even contrasting statements. As with the statement classifications, every appropriateness assessment was independently assessed by two authors and a third author was consulted if the classifications differed. In case of disagreement between assessors, we generally converged towards a more conservative classification of spatial scale. Out of 159 papers included in the network, the original classifications of spatial scale and degree of affirmation assigned by each assessor differed 17 and 7 times, respectively. Hence, although the classification statements involved a degree of subjective interpretation, this only led to the assignment of categories varying in less than 10% of the cases.
Following the previous example to illustrate the process, Brodeur et al. (2011) cites Purcell et al. (2007) and Richardson et al. (2009) in support of a statement that gelatinous zooplankton populations ‘are increasing’ at ‘multiple regions’ (Sanz-Martín et al., 2016). The citation to Purcell et al. (2007) is ‘selective’ (score = 1), because although Purcell et al. (2007) review cases where populations have increased, she also states ‘While speculation is abundant, evidence for sustained increases is lacking’ and ‘It is too soon to know whether these recent jellyfish increases will be sustained or the populations will fluctuate with climate as seen for other species’ (Sanz-Martín et al., 2016). The citation to Richardson et al. (2009) is ‘supported’ (score = 0) because this paper was written in response to claims of increasing jellyfish populations and it states that, ‘a picture is now emerging of more severe and frequent outbreaks in many areas’ and it issued no caveats to that statement. Therefore the mis-citing score (defined as the sum of appropriateness scores) of Brodeur et al. (2011) is 1 and, given that this paper was not cited by other authors in support of jellyfish trends, it does not have a mis-cited score (Sanz-Martín et al., 2016). In contrast, Dong et al. (2010) stated ‘Over the last decade, a significant increase in jellyfish blooms has been observed worldwide in marine ecosystems and are becoming seen as an indicator of a state shift in pelagic ecosystems (Arai, 2001; Graham, 2001; Mills, 2001; Purcell, 2005; Purcell et al., 2007; Uye, 2008; Zhang et al., 2009; Richardson et al., 2009)’. This statement was classified as ‘are increasing’ and ‘global/generic’ because the authors claim it is a ‘world-wide’ phenomenon and the accompanying citations were ‘unsupported’ (score = 3 per citation) as none of them carried out a global analysis to achieve this conclusion except Zhang et al. (2009), which was excluded because it was written in Chinese and could not be evaluated, and the citation to Richardson et al. (2009) that was classified as ‘supported’ (score = 0) for the same reason stated above for Brodeur et al. (2011). The mis-citing score of Dong et al. (2010), therefore, is 18, involving 14.3% of appropriate and 85.7% of inappropriate citations. This paper has only been cited once in support of jellyfish trends and the assessment was ‘supported’ (score = 0), so its mis-cited score is 0 (Sanz-Martín et al., 2016.).
The data set has been archived on the Spanish Research Council database repository (CSIC Digital) with the reference Sanz-Martín et al. (2016).
Citation network and its topological analysis
We used the classification of trend statements, citation threads and citation assessment to build a citation network (Fig. 1). Each node represents a paper with a trend statement about jellyfish populations classified according to spatial category and degree of affirmation. Links from node i to node j indicates that paper i was cited by paper j, thereby representing the information flow in the network, which is directional as, of course, citing papers are published later than those they cite. The colour of nodes indicates the affirmation degree and its shape represents the spatial category of the statement (Fig. 1; Appendix S1 in the Supporting Information contains a colour-blind friendly network).

Chronological network of citation threads regarding jellyfish population trends. Nodes represent papers, their size and their numerical label represent the frequency at which they have been cited by other papers in the network, their shape represents the spatial category and their colours/shades represent the affirmation degree stated in support of jellyfish trends. Arrows represent the appropriateness assessment of the citations. Data set available in Sanz-Martín et al. (2016).
The citation network (Fig. 1) allows the evolution of the perception of rising jellyfish to be traced, identifying key papers involved in establishing this notion. Specific properties of the network were analysed to quantify the relevance of each paper (or node) for the optimized flow of citations through the network (Freeman, 1977; Albert & Barabási, 2002): (1) in-degree and out-degree of nodes, which are the number of incoming arrows and outgoing arrows, respectively, and represent how often paper i cites other papers (citing frequency) and how often it is cited by other papers (cited frequency); and (2) betweenness centrality, bi, that estimates the fraction of all shortest paths connecting any pair of nodes that pass through node i (Freeman, 1977). Specific properties of the nodes (or papers) of the network are available in Sanz-Martín et al., 2016. The library Igraph, version 0.7.1, within the statistical software R version 2.13 was used to build and analyse the citation network (Csardi & Nepusz, 2006).
Results
Our search identified 225 papers on jellyfish ecology published between 1987 and April 2012, of which 159 (70.7%) were involved, by citing or being cited, in contributing to the perception of a global rise in jellyfish. A total of 51.6% of papers in the network were ‘citing only’ papers, 27% were ‘cited only’ papers, and 15.7% of papers were both ‘citing & cited’ papers. Three point eight per cent of papers claimed jellyfish trend statements, but they were classified as ‘neither citing nor cited’ papers because they did not support their claims with citations and no other papers cite them and 1.9% of papers were cited papers that could not be verified. The ‘citing only’ papers and the ‘citing & cited’ papers contained at least one statement that cited between one and eight papers in support of a statement on jellyfish trends. Seventy-seven per cent of the ‘cited only’ papers provided statements on jellyfish trends, whereas 23% did not contain any statement on jellyfish trends despite being cited to this end.
From the 115 ‘citing only’ and ‘citing & cited’ (hereafter citing papers) that have contributed to the perception of increasing jellyfish population, 70 papers (60.9%) stated that jellyfish populations are or have been increasing, of which 27.2% referred to increases at the global or generic scale and 34.3% at the scale of multiple regions (Table 1). One in every four citing papers (26.1%) provided a statement indicating that populations may be increasing, of which 11.4% referred to global or generic increases, 14% to increases in multiple regions and 0.9% to possible regional increases (the regional study was included because it was a ‘citing & cited’ paper) (Table 1). A total of 10.4% of the citing papers stated that trends were equivocal and 2.6% could not be verified (Table 1). Whereas no papers would have had a basis to state that jellyfish are either increasing or decreasing globally, since the first global analyses were not available until 2012 (i.e. Brotz et al., 2012), 27% of the papers contained such a statement and all argued for a global rise in jellyfish (Table 1). Similar inferences, however, would have been legitimate for the multi-regional trend statements (34%; Table 1), which often appropriately cited several region-specific papers to support their statement. In our network, 16% of the total evaluated papers (25 out of 159) were ‘cited only’ studies. As has been shown, most statements focused on increases and neglected the evidence for equivocal and variable trends (12 papers cite 29 other studies in reference to equivocal trends and only 1.3% were inappropriate; Tables 1 & 3), despite monotonous jellyfish declines being almost as represented as reports of increases (cf. Condon et al., 2013).
Affirmation degree | Spatial category | Citing papers | Citing papers for each affirmation degree |
---|---|---|---|
Are increasing | Global and generic | 27.2 (n = 31) | 60.9 (n = 70) |
Are increasing | multi-regional | 34.2 (n = 39) | |
May be increasing | Global and generic | 11.4 (n = 13) | 26.1 (n = 30) |
May be increasing | multi-regional | 14.0 (n = 16) | |
May be increasing | Regional | 0.9 (n = 1) | |
Equivocal | Global and generic | 5.2 (n = 6) | 10.4 (n = 12) |
Equivocal | multi-regional | 5.2 (n = 6) | |
Cannot verify | Cannot verify | 2.6 (n = 3) | |
Total | Total | 100 (n = 115) |
- The shaded cell indicates that these statements were impossible based on the literature available prior to April 2012.
Network label | Paper | Type of citation | Year | Journal | Impact factor | Type | Statements classification | Appropriateness assessment | |||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Spatial category | Affirmation degree | Betweenness centrality | Cited paper | Citing paper | |||||||||||||
Cited frequency (out-degree) | Mis-cited score | Supported-cited (%) | Inappropiate-cited (%) | Citing frequency (in-degree) | Mis-citing score | Supported-citing (%) | Inappropiate-citing (%) | ||||||||||
1 | Mills (2001) | Cited only | 2001 | Hydrobiologia | 2 | Review | Multiple regions | Equivocal | 0 | 54 | 66 | 14.8 | 85.2 | 0 | Not Citing | Not Citing | Not Citing |
2 | Purcell et al. (2007) | Citing & cited | 2007 | Marine Ecology Progress Series | 2.6 | Review | Global or generic | Equivocal | 44 | 21 | 24 | 33.3 | 66.7 | 1 | 0 | 100 | 0 |
3 | Brodeur et al. (1999) | Cited only | 1999 | Fisheries Oceanography | 2.2 | Primary | Regional | Are or have been increasing | 0 | 19 | 7 | 84.2 | 15.8 | 0 | Not Citing | Not Citing | Not Citing |
4 | Brodeur et al. (2002) | Citing & Cited | 2002 | Marine Ecology Progress Series | 2.6 | Primary | Regional | May be or appear to be increasing | 17.5 | 19 | 14 | 57.9 | 42.1 | 1 | 0 | 100 | 0 |
5 | Purcell (2005) | Cited only | 2005 | Journal of the Marine Biological Association of the United Kingdom | 1.6 | Review | Global or generic | Are or have been increasing | 0 | 16 | 15 | 56.2 | 43.8 | 0 | Not Citing | Not Citing | Not Citing |
6 | Graham (2001) | Citing & cited | 2001 | ICES Journal of Marine Science | 2.5 | Primary | Multiple regions | Equivocal | 7 | 13 | 10 | 69.2 | 30.8 | 1 | 0 | 100 | 0 |
7 | Richardson et al. (2009) | Citing & cited | 2009 | Trends in Ecology and Evolution | 15.4 | Review | Global or generic | Are or have been increasing | 199.5 | 13 | 0 | 100 | 0 | 8 | 15 | 37.5 | 62.5 |
8 | Lynam et al. (2006) | Citing & cited | 2006 | Current Biology | 9.5 | Primary | Multiple regions | Are or have been increasing | 5.5 | 11 | 6 | 81.8 | 18.2 | 1 | 1 | 0 | 100 |
9 | Arai (2001) | Cited only | 2001 | Hydrobiologia | 2 | Review | Global or generic | Equivocal | 0 | 7 | 8 | 42.9 | 57.1 | 0 | Not citing | Not citing | Not citing |
10 | Link & Ford (2006) | Citing & cited | 2006 | Marine Ecology Progress Series | 2.6 | Primary | Multiple regions | May be or appear to be increasing | 108 | 7 | 3 | 85.7 | 14.3 | 5 | 1 | 80 | 20 |
11 | Mills (1995) | Cited only | 1995 | Hydrobiologia | 2 | Review | Multiple regions | May be or appear to be increasing | 0 | 7 | 2 | 71.4 | 28.6 | 0 | Not citing | Not citing | Not citing |
- These papers can be ‘cited’ by others or ‘citing’ other papers in support of jellyfish trend statements. Metrics include: betweenness centrality, appropriateness assessment (adapted from Todd et al., 2007), mis-cited score, mis-citing score and results of each appropriateness assessment.
Inappropriate citations | |||
---|---|---|---|
Affirmation degree / Spatial scale | Per cent global and generic (n) | Per cent multi-regional (n) | Total percentage (n) |
Are increasing | 18.6 (57) | 16.0 (49) | 34.6 (106) |
May be increasing | 5.9 (18) | 7.2 (22) | 13.1 (40) |
Equivocal | 0 (0) | 1.3 (4) | 1.3 (4) |
Decreasing | 0 (0) | 0 (0) | 0 (0) |
Total | 49 (150/306) |
- The citation was evaluated as inappropriate (unsupported, empty, selective, ambiguous or cannot verify) or appropriate (supported), adapted from to Todd et al. (2007). The shaded cell indicates that the citations were impossible based on the literature available prior to April 2012.
The cumulative number of citing papers classified as ‘are increasing’ and ‘may be increasing’ displayed a rapid increase, at a rate of 64.1% and 23.8% per year, and papers classified as ‘equivocal’ at a slower rate of 9.7%, from the first papers that discussed possible trends and cited any source (Fig. 2). The first cited paper we found in support of statements on trends in jellyfish populations was Legovic (1987), but it was not until the late 1990s that cited papers started to increase in the literature. The first highly cited paper within the network (which received 18 citations in support of jellyfish population trends) was Brodeur et al. (1999), which concluded that in the Bering Sea, ‘the biomass of large jellyfish has increased dramatically in the 1990s compared with the previous decade’. This paper attracted considerable attention (Fig. 3, Table 2) and could be considered to have seeded the question of whether jellyfish may be rising in other areas. This question was subsequently addressed by Mills (2001), in what was by far the most influential paper in this citation network (Figs 1 & 3, Table 2). Mills (2001) triggered a large flux of research on trends in jellyfish populations with other prominent papers in the network of citations including reviews by Brodeur et al. (2002), Purcell (2005), Purcell et al. (2007) and Richardson et al. (2009) (Figs 1 & 3, Table 2). Despite Mills (2001) being a balanced paper, including statements on jellyfish increases (e.g. ‘Some blooms appear to be long-term increases in native jellyfish populations’, Mills, 2001) and decreases (e.g. ‘Lest one conclude that the next millennium will feature only increases in jellyfish numbers worldwide, examples are also given in which populations are decreasing in heavily impacted coastal areas’, Mills, 2001), she may have been inadvertently responsible for seeding a chain of inappropriate citations since the title posed the question ‘Jellyfish blooms: are populations increasing globally in response to changing ocean conditions?’, which left it up to the readers to draw their own conclusions and provided grounds for selective and inappropriate citations.

Cumulative number of citing papers containing different statements on jellyfish population trends from 2001 to 2012.

Citation assessment (adapted from Todd et al., 2007) of the 11 most often cited papers to support jellyfish trend statements and number of received citations.
The dominance of Mills (2001) in the network was evident in that it was the most cited paper (54 citations) but also had the highest mis-cited score (= 66), as 85% of the statements supported by reference to Mills (2001) were inappropriate (Fig. 3, Table 2). Specifically, Mills was selectively cited 50% of the time, ambiguously cited 9% of the time, unsupported 10% of the time and supported only 15% of the time. Hence, Mills (2001) was particularly influential in conforming views about jellyfish trends before rigorous, quantitative analyses of the evidence were attempted. The case of Mills (2001) also reflects the difficulties authors had in correctly assigning conclusions to papers that provide ambiguous conclusions.
Five of the eleven most-cited papers in our network were reviews. Of the remaining six papers, which reported primary observations, two papers reported definite regional and multi-regional increases (Brodeur et al., 1999; Lynam et al., 2006), two papers reported possible increases (Brodeur et al., 2002; Link & Ford, 2006) and one paper reported equivocal trends (Graham, 2001) (Fig. 3, Table 2). The top three and the top 11 most-cited papers accumulated a cited frequency of 37% and 59% of all the citations, respectively (Table 2).
Three of the 11 most cited papers also ranked within the 10 papers with the highest betweenness centrality, showing their importance in connecting groups of papers with divergent perceptions on the issue and being inappropriately cited on 14–85% of occasions (Fig. 3, Table 2). Five of the 11 most cited papers do not cite previous studies regarding global or multi-regional trends in jellyfish populations (i.e. they are ‘cited only’ papers). Thus, these papers had zero betweenness centrality and they contributed the initiate the perception. Richardson et al. (2009) was one of the 11 most cited papers and also had the highest betweenness centrality (bi = 199.5) because it connected early views regarding possible trends with more recent research focused on the drivers of those putative trends. Of the citations made by Richardson et al. (2009) in support of jellyfish population trends (eight citations) 62.5% were ‘unsupported’ and 37.5% were ‘supported’, having a mis-citing score of 15, the third highest mis-citing score of the network (Sanz-Martín et al., 2016). In turn, Richardson et al. (2009) was always appropriately cited (100% ‘supported’), because this paper could be cited as evidence for concern about increases in jellyfish numbers (Fig. 3, Table 2).
Mis-citation was evident in the network (Fig. 1) with 48.9% of the citations being considered inappropriate for the statements they purport to support (Fig. 4, Table 3). The citing papers that had the most inappropriate citations were those that asserted that jellyfish are increasing at both global/generic and multi-regional scales (34.6%; Fig. 4, Table 3) whereas those papers that stated that jellyfish may be increasing at global, generic or multi-regional scales were less prone to poor citation practices (13.1%; Fig. 4, Table 3).

Citation assessment (adapted from Todd et al., 2007) of jellyfish population trends statements.
Discussion
This network of citations shows that jellyfish demography is a vibrant research field and the rate of papers referring to jellyfish population trends has increased by 87.1% per year since 1998, and far exceeds the 7.7% annual increase in the growth rate of scientific literature in ecology (Andersen et al., 2008). Examination of the network allows the identification of four stages involved in the development of this perception. First, the report of Brodeur et al. (1999) of an increase in jellyfish populations for the Bering Sea, followed by the review of Mills (2001), which is by far the most influential paper in this research topic. Despite the author, Claudia Mills, presenting balanced views in her conference talk at the first Jellyfish Blooms Symposium in 1999 and in the associated paper (Mills 2001), the possibility that jellyfish populations may be increasing was raised. The second stage involved papers that selectively cited the statements in Mills (2001) to assume that jellyfish populations were or may be increasing globally or across multiple regions and moved on to develop the narrative through reviews aimed at identifying the environmental drivers of purported increases (Purcell et al., 2007; Richardson et al., 2009). Following a decade of speculation, a third stage developed two quantitative meta-analyses to establish whether increases in jellyfish populations are a global phenomenon (Brotz et al., 2012; Condon et al., 2013). Interestingly, Brotz et al. (2012) and Condon et al. (2013), differ in their conclusions, despite reporting comparable results. Brotz et al. (2012) concluded that evidence for increasing jellyfish blooms was available for 28 of 45 (i.e. 62%) of the large marine ecosystems since 1950, of which 21% showed increases with high certainty. Condon et al. (2013) report that 30% (11 of 31) of the long-term records of jellyfish abundance included in their analysis showed a significant increase in jellyfish abundance since 1970. Brotz et al. (2012) conclude that ‘Jellyfish populations appear to be increasing in the majority of the world's coastal ecosystems and seas’ whereas Condon et al. (2013) conclude that ‘the perception of a global rise in jellyfish, possibly prompted by more jellyfish blooms in the 1990s, may therefore be best interpreted as part of an oscillation’. The fourth phase involves the present study, which follows the thread of citations in support of jellyfish trend statements flowing from the quantitative analyses of Brotz et al. (2012) and Condon et al. (2013) to previous speculative studies because available evidence is still subject to different interpretations. Poor citation practices lend credence to the perception of a global trend toward increased jellyfish blooms which may be less likely once more quantitative data are available and increasing data availability limits the margin for misinterpreting results.
A bias towards the possibility of increasing jellyfish blooms is further illustrated by three cases. First, Jackson et al. (2001), a highly cited paper in the context of global impacts in the ocean ecosystem (4523 cites according to Google Scholar, January 2016), proposed that oceanic degradation resulted, among other consequences, in outbreaks of jellyfish, providing only anecdotal evidence from a single location and study (Newell, 1988) to support this claim. Jackson (2008) further concluded in the abstract that ‘synergistic effects … are transforming complex food webs into … simplified … ecosystems with boom and bust cycles of … jellyfish …’ without offering any evidence in the paper to support this statement. Second, Brodeur et al. (2002) reported a major increase in jellyfish in the Bering Sea, but subsequently reported declines in populations (Brodeur et al., 2008). Numerous papers published after Brodeur et al. (2008), however, continue to cite Brodeur et al. (2002) as an example of a sustained increase in jellyfish and ignore the later paper showing that jellyfish populations in the Bering Sea are variable. Third, a United Nations Environment Report (Turley & Boot, 2010) and one of the most widely cited reviews on impacts of ocean acidification (Doney et al., 2009; cited 1602 times in GS, accessed January 2016), cited Attrill et al. (2007) to claim a link between ocean acidification and increased jellyfish numbers, but neither papers acknowledged the rebuttal of Attrill et al. (2007) by Haddock (2008), the erratum published by Attrill & Edwards (2008) or the expanded analysis of Attrill et al. (2007) by Richardson & Gibbons (2008) that showed no link between acidification and jellyfish populations. Indeed, the misconceptions resulting from mis-citation are even more dangerous when they are contained in papers published in highly influential journals, which provide a platform for those papers to be highly cited. Duarte et al. (2015) have argued that poor citation practices are one of the elements that have perpetuated perceptions on ocean calamities (including rising jellyfish populations) that are contributing to an overly negative perception on the state of the ocean. Our study confirms that that mis-citation facilitated the perception of rising jellyfish populations.
Our analysis suggests that inappropriate citations may have been facilitated by the presence of imprecise or ambiguous language and contradictory statements in papers with variable conclusions. For instance, we determined that 85% of papers referencing Mills (2001) were inappropriate, including 19% that were unsupported. In that paper Mills poses a question in the title that is not clearly answered in the text and, in searching for answers, the reader might focus on selected sentences thereby choosing to ignore the balanced account of evidence for increases and decreases that Mills (2001) presented throughout her paper (Fig. 3, Table 2). Imprecise and ambiguous language may also introduce uncertainty into our analysis as we assigned statements to one of several categories, implying that authors citing such papers will also find difficulties in constraining the domain of the statement. For instance, Lynam et al. (2006) reports ‘Jellyfish biomass has increased substantially in several locations worldwide, perhaps as a consequence of fishing (Mills, 2001)’ showing that vague statements have facilitated mis-interpretation, potentially through greater emphasis on the use of examples showing population increases than those showing declines. Mills (2001) was also cited as evidence of both increasing and decreasing populations, but in most cases increasing examples are discussed first and decreasing examples used as caveats. For instance, Barz & Hirche (2007) stated ‘in recent years the abundance of scyphomedusae is increasing in many ecosystems, … but decreases have also been reported (Dawson et al., 2001; Mills, 2001)’, where Dawson et al. (2001) is the only paper whose maximum degree of affirmation statement was classified as ‘decreasing’ jellyfish trends.
The accuracy of citations was not aided by the fact that some influential review papers were often cited indirectly, as shown by the betweenness centrality pattern of the network (i.e. Purcell et al., 2007; Richardson et al., 2009; Table 2). Mills (2001) was clearly the most influential paper in the development of the perception of rising jellyfish populations (54 citations, 17.6% of the 306 citations used in support of trend statements). However, the development of a perception based on a concept introduced in an influential seminal paper, which then is followed by other researchers, is not unusual. In fact, it has been proposed to be the process through which paradigms and even disciplines develop (Krishnan, 2009). Paradigms are not static, but tend to change as science advances through what Thomas Kuhn (1962) called scientific revolutions. A decade after Mills (2001) was published we may be at a point where the perception of rising jellyfish populations (Condon et al., 2013) may be shifting. Indeed, Richardson et al. (2012) proposed that researchers should move beyond the question of global trends to focus on factors controlling those populations that are certainly increasing by managing the purported anthropogenic drivers of blooms, including eutrophication, overfishing and species translocations.
Todd et al. (2010) concluded that ‘one in four citations in marine biology papers is inappropriate’. Our analyses, however, indicate a rate of inappropriate citations of 49% in the literature addressing jellyfish population trends. We also provide evidence of inappropriate citation of papers with variable or ambiguous conclusions, propelling the rapid growth of statements that jellyfish numbers are, or may be, rising globally. We submit that the reason for differential citation bias for papers asserting or questioning that jellyfish blooms are increasing may be derived from the aversion of the ecological community towards Type II errors or false negatives, as the implications of erroneously concluding that jellyfish blooms are not rising when in fact they might be, are higher than the reverse, a concern that has been recently highlighted by Richardson et al. (2012). Our results suggest the accumulation of multiple lines of evidence occasionally forms an imprecise framework statement (e.g. assertions of jellyfish increasing globally or in generic populations based on ‘equivocal’ and ‘regional’ conclusions) that can be easily propagated. Guidelines to robust citation practices highlight the importance of including the citation immediately after the phrase that calls on it and avoiding the clustering of references at the end of a sentence (Dupps, 2008). This helps clarify which statement each reference supports. It is also important to provide a balanced account of the research question discussed, acknowledge the caveats the authors introduced, and actively search for counter-evidence (Harzing, 2002). However, the onus of avoiding mis-citations also rests on the authors, who should not only ensure they adhere to robust citation practices but also that they too avoid ambiguous statements that may lead to misinterpretations. Catchy, declaratory titles are conducive to misinterpretations as they typically capture only some of the findings reported, which might direct citing readers to focus on the conclusion highlighted in the title. Furthermore, we highlight the importance of adhering to best practices in hypothesis testing, enabling strong inferences in science (Platt, 1964). As a community, we must ensure our statements about scientific findings in general are accurately substantiated and carefully communicated, thereby minimizing the possibility of being mis-cited, such that incorrect perceptions, as in the case of jellyfish blooms, do not develop in the absence of rigorous testing and robust evidence.
We are making the database available in Sanz-Martín et al. (2016) to allow readers to challenge the robustness of our analysis by reading the sources cited and decide the extent to which the statements are or not supported by references used, reclassify the statements according to its affirmation degree and spatial scale, and rerun our analysis.
Acknowledgements
We are very grateful to P. Casal for sharing his support for the paper and knowledge about jellyfish populations in the early stages of this work and J. Holding for English language. M.S.-M. was funded by Fundación ‘La Caixa’ PhD grants (Spain). R.H.C. was funded by National Science Foundation grant OCE 1030149.
References
Biosketches
Marina Sanz-Martín is a PhD student in marine science, she studies planktonic primary production and the ecological consequences of changing ocean conditions in the Arctic Ocean; an early version of this study was her master's dissertation.
Kylie Pitt, Rob Condon, Cathy Lucas and Carlos Duarte are all members of a NCEAS working group entitled ‘Global expansion of jellyfish blooms: magnitude, causes and consequences’ (http://www.nceas.ucsb.edu/projects/12479).
Charles de Santana is a computer scientist with expertise in computer modelling and complex systems.