Skip to main content

ORIGINAL RESEARCH article

Front. Psychol., 17 September 2024
Sec. Cognition

The effect of chess on cognition: a graph theory study on cognitive data

  • 1Departamento de Psicología Clínica, Psicobiología y Metodología, Facultad de Psicología y Logopedia, Universidad de La Laguna (ULL), San Cristóbal de La Laguna, Spain
  • 2Departamento de Psicología Evolutiva y de la Educación, Facultad de Psicología y Logopedia, Universidad de La Laguna (ULL), San Cristóbal de La Laguna, Spain
  • 3Facultad de Ciencias de la Salud, Universidad Fernando Pessoa Canarias, Las Palmas, Spain
  • 4Division of Clinical Geriatrics, Center for Alzheimer Research, Department of Neurobiology, Care Sciences, and Society, Karolinska Institutet, Stockholm, Sweden

Objectives: We aimed to advance our understanding of the effect of chess on cognition by expanding previous univariate studies with the use of graph theory on cognitive data. Specifically, we investigated the cognitive connectome of adult chess players.

Method: We included 19 chess players and 19 controls with ages between 39 and 69 years. Univariate analysis and graph theory included 27 cognitive measures representing multiple cognitive domains and subdomains. Graph analysis included global and nodal measures of integration, segregation, and centrality. We also performed an analysis of community structures to gain an additional understanding of the cognitive architecture of chess players.

Results: The analysis of global graph measures showed that chess players had a higher local efficiency than controls at the cost of a lower global efficiency, which did not permeate segregation aspects of their connectome. The nodal graph measures showed that executive/attention/processing speed and visuoconstructive nodes had a central role in the connectome of chess players. The analysis of communities showed that chess players had a slightly reorganized cognitive architecture into three modules. These graph theory findings were in the context of better cognitive performance in chess players than controls in visuospatial abilities.

Conclusion: We conclude that the cognitive architecture of chess players is slightly reorganized into functionally and anatomically coherent modules reflecting a distinction between visual, verbal, and executive/attention/processing speed-related functions, perhaps reminiscent of right hemisphere and left hemisphere subnetworks orchestrated by the frontal lobe and its white matter connections.

1 Introduction

Chess is a complex intellectual activity that involves multiple cognitive processes (Chase and Simon, 1973; Holding, 1992; Gobet and Simon, 1996; Gobet, 1998; Gobet and Charness, 2006; Bilalić et al., 2010). Chess players encode, remember, and process chess moves through symbolic descriptions, and organize their book knowledge of opening, middlegame themes, and endgame techniques around verbal labels (Holding, 1992). It has been suggested that intense chess practice may have a positive impact on cognitive performance. For example, Elo (1978) found that top chess players had superior verbal skills, represented by a high frequency of professional writing occupations and mastery of foreign languages. Chess practice may also impact perceptual processing. For example, expert chess players recognize game plays and recall positions thanks to their perceptual organization and internal representation of positions (Chase and Simon, 1973; Gobet and Simon, 1998). This enables chess players to make better decisions, as they focus their attention on clusters of pieces forming key game positions rather than fixating on individual pieces, as less experienced players do (Charness et al., 2001).

When it comes to cognitive performance in specific functions, several studies have compared chess players versus non-players across several cognitive measures, using univariate analysis. Some studies showed that chess players seem to have a higher performance in verbal auditory memory (Fattahi et al., 2015), visuospatial working memory (Bachmann and Oit, 1992; Unterrainer et al., 2006), and planning (Unterrainer et al., 2006). However, some studies have found no differences (Unterrainer et al., 2011; Nejati and Nejati, 2012; Hänggi et al., 2014) or even worse performance in chess players compared with non-players in some cognitive measures (Boggan et al., 2012; Nejati and Nejati, 2012). These inconsistencies could be explained by the reduced number of cognitive measures included in most of previous studies, failing to map all cognitive domains and sub-domains of human cognition. Another explanation could be the use of univariate analysis that cannot capture the complexity of intellectual activities such as chess, which engages multiple cognitive domains interactively. Opposite to univariate analysis, multivariate analyses such as graph theory enable the study of complex associations between multiple cognitive measures.

Recent studies have applied graph theory analysis on cognitive measures providing a full characterization of the so-called “cognitive connectome” (Garcia-Cabello et al., 2021), which comprehensively represents the complex organization and associations among multiple cognitive measures in a population. Using graph theory analysis on cognitive measures provides rich data on the centrality of specific cognitive measures in the connectome as well as information on the integration and segregation of the cognitive connectome (Tosi et al., 2020). However, no previous study has used multivariate analysis or investigated the cognitive connectome of chess players. Such a study could help clarify the presumable advantage of intensive intellectual practice of activities such as chess, informing on the potential benefits of chess for brain stimulation or risk reduction of age-related cognitive decline. A graph theory approach may likely better reflect the multivariate and integrated way the human brain faces a complex cognitive demand such as playing chess.

The overall goal of the current study was to investigate the cognitive connectome of adult chess players. Firstly, we performed “baseline” univariate analysis to be able to compare with the results obtained from graph theory in subsequent aims. This univariate analysis consisted of a comparison of cognitive performance of chess players versus controls across cognitive measures. Secondly, we performed multivariate analyses (graph theory) by comparing chess players and controls across global and nodal graph measures of integration, segregation, and centrality. Thirdly, we performed a separate analysis of community structures in chess players and controls, to gain additional understanding of the cognitive architecture of chess players. We hypothesized that chess player would perform better than controls in cognitive functions previously associated to chess practice (executive functions/planning, attention, precession speed, and memory), but we anticipated that graph theory analyses would detect more differences between groups than univariate analysis. In addition, we expected that chess players would have a more efficient and integrated cognitive connectome as directly reflected by the graph measures but also through a lower number of modules in the analysis of community structures.

2 Methods

2.1 Participants

We recruited a total of 38 participants (19 chess players and 19 controls) with ages between 39 and 69 years. The chess group was recruited through announcements at the chess federation and several chess clubs in Tenerife (Spain). The control group was selected from the GENIC-database (Group of Neuropsychological Studies of the Canary Islands) (Machado et al., 2018) by matching controls to chess players on age, sex, education level, and manual preference using the Edinburgh Handedness Inventory (Oldfield, 1971; Table 1). All participants were male by study design. Both study groups reported leisure and physical activities, making sure that none of the controls played chess regularly or fulfilled the inclusion criteria of the chess group. Furthermore, we assessed crystallized intelligence with the Wechsler Adult Intelligence Scale (WAIS-III) Information subtest (Wechsler, 1997a).

Table 1
www.frontiersin.org

Table 1. Demographic characteristics.

Participants were assessed with a comprehensive neuropsychological protocol applied by an experienced neuropsychologist. Inclusion criteria for the current study were: (1) normal cognitive performance in comprehensive neuropsychological assessment using age-, sex-, and education-adjusted normative data (2) no neurologic, psychiatric, or systemic diseases with a potential impact on cognitive performance; and (3) no history of substance abuse. Hence, all individuals in this study were within the range of normal cognitive performance. The current study was approved by the ethics committee of the University of La Laguna (Spain), project number 57, and all participants gave their written informed consent, in accordance with The Code of Ethics of the World Medical Association (Declaration of Helsinki).

2.2 Neuropsychological assessment

The neuropsychological protocol includes multiple tests of language, processing speed, attention, executive functions, verbal and visual episodic memory, procedural memory, and visuoconstructive, visuoperceptive and visuospatial functions (Supplementary Table S1). In addition, the MMSE (Folstein et al., 1975) was used as a measure of global cognition.

2.3 Network construction and graph analysis

Table 2 lists the cognitive variables used as nodes for network construction. No cognitive variables from the extensive neuropsychological protocol were excluded for the graph analysis. Prior network construction, variables related to processing speed (i.e., CTT part 1 and part 2) were inverted so that higher scores reflect better performance in all the variables included in the network. The edges between the nodes were calculated through group-specific association matrices of Pearson correlation coefficients from each pair of nodes (Figure 1).

Table 2
www.frontiersin.org

Table 2. List of nodes (graph analysis), neuropsychological tests, and cognitive components.

Figure 1
www.frontiersin.org

Figure 1. Weighted correlation matrices by study group. Pearson correlation coefficients were used to construct the matrixes. Colder colors represent weaker correlations while warmer colors represent stronger correlations, in a scale from 0 to 1. (A) Weighted correlation matrix of chess players; (B) weighted correlation matrix of controls.

The resulting correlation matrices were binarized by thresholding correlation coefficients at a range of network densities (min = 10% to max = 45%, in steps of 1%), to ensure fully connected networks and exclude densities where connectomes had random topologies (small-worldness indexes approximating a value of 1). Network topologies of chess players and controls were compared across this range of densities. Following previous studies of cognitive connectomes (Garcia-Cabello et al., 2021), both self-connections and negative correlations were excluded from correlation matrices.

After constructing the networks, we calculated nodal and global graph theory measures. Nodal measures refer to each specific node whereas global measures refer to the average across all nodes. Regarding global measures, we included: the average global efficiency, average local efficiency, and transitivity measures calculated from the binary networks across the different densities, and the average strength calculated from the weighted network (before binarization) (Rubinov and Sporns, 2010). The average global efficiency is the average inverse shortest path length between a node and the rest of the network, which in contrast to the characteristic path length can be meaningfully computed on disconnected networks (Rubinov and Sporns, 2010). The average global efficiency measures how efficiently information is exchanged throughout the network (Latora and Marchiori, 2001). The mathematical definition of the average local efficiency is similar to that of the average global efficiency, but the average local efficiency is restricted to a given node and the subgraph created by the node’s neighbors (Bullmore and Sporns, 2009). The transitivity refers to the fraction of a node’s neighbors that are also neighbors of each other in the whole network, normalized by the whole network. It reflects how well the nodes are connected to nearby nodes forming cliques. In a cognitive network, the transitivity reflects whether the cognitive data tend to be organized into communities of cognitive measures that are strongly correlated to nearby cognitive measures, but weakly correlated to cognitive measures belonging to other communities. The average strength is given by the sum of the weights of all edges connected to a node. In a cognitive network, the average strength represents the overall magnitude of correlations among cognitive measures in the network (Rubinov and Sporns, 2010).

In addition, we calculated the following nodal measures: nodal global efficiency, nodal local efficiency (Latora and Marchiori, 2001), and nodal closeness centrality (Rubinov and Sporns, 2010). The nodal global efficiency of a specific node is the average inverse shortest path length between that node and the rest of the network. The nodal local efficiency is the global efficiency of a node calculated on the subgraph created by the node’s neighbors. The nodal closeness centrality is similar to the nodal global efficiency but instead of the average is just the inverse of the path length of a node, thus reflecting how central in the connectome a node is.

Finally, to investigate the topology and architecture of the cognitive connectome of chess players, we also performed modular analyses by applying the Louvain algorithm (Blondel et al., 2008) on weighted undirected networks with a gamma value of 1.

The formulae used to calculate all these graph measures are provided in Rubinov and Sporns (2010) and Latora and Marchiori (2001).

2.4 Statistical analysis

Analyses were performed using the R programming environment (R Core Team, 2016) and BRAPH1 (Mijalkov et al., 2017).

All variables were assessed to confirm the absence of outliers. The distribution of the data was ensured to follow the normal distribution by inspecting histograms and computing indexes of asymmetry and kurtosis. For demographic variables, we used Mann–Whitney U tests as these variables did not follow the normal distribution.

We addressed our first study aim by comparing chess players versus controls across 27 cognitive variables, using univariate analyses consisting of t-tests for continuous variables and Mann–Whitney U tests for continuous variables that did not conform to a normal distribution. To assess effect sizes, Cohen’s was used for independent samples t-tests and Hedge’s g was used for Mann–Whitney U tests. We confirmed that variances were homogenous. In all these analyses, significant differences were considered when p ≤ 0.05 (two-tailed). Our second study aim was addressed by comparing global and nodal graph measures across groups. Between-group comparisons of global graph measures were conducted through 1,000 nonparametric permutations over the previously pre-specified range of network densities (min = 10% to max = 45%, in steps of 1%). The 95% confidence intervals of each distribution were used as critical values for testing the null hypothesis at p ≤ 0.05 (two-tailed). Nodal graph analyses were also performed over the 10–45% range of network densities, and results were reported at the median density (27.5%), as in previous studies (Ferreira et al., 2019; Garcia-Cabello et al., 2021). Nonetheless, we ensured that results at the median density were representative of neighboring densities, to focus on stable differences across the range of densities. p-values in nodal analysis were adjusted with the false discovery rate (FDR) method for multiple testing. We addressed our third study aim by inspecting differences in community structure between chess players and controls.

3 Results

Table 1 shows the demographic characteristics of chess players and controls. Both groups were statistically comparable in terms of crystallized intelligence as measured by the WAIS-III Information subtest.

3.1 First aim: univariate analysis across cognitive measures

To address the first aim of this study, we compared the cognitive performance of chess players versus controls across 27 cognitive variables (Table 3). Chess players outperformed the control group in JLOT – Second half (p = 0.039), with a medium effect size (g = 0.75). We did not observe any statistically significant difference in any other cognitive measure. However, visual inspection of effect sizes showed moderate effects (g/d > 0.5) in STROOP Inhibition (d = 0.56), semantic fluency (animals) (d = −0.55), spatial span forward (g = 0.56), and visual discrimination VR (g = 0.55).

Table 3
www.frontiersin.org

Table 3. Cognitive performance: results from univariate analysis.

3.2 Second aim: graph analysis on the cognitive connectome

The weighted correlation matrices of the cognitive connectomes of chess players and controls are displayed in Figure 1, with variables sorted out by modules according to the modular analysis of community structures of controls (see section 3.3. below). Visual inspection of the matrices showed that chess players had a more widespread pattern of correlations than controls. In particular, executive measures tended to correlate strongly with themselves and with measures of premotor function, visuospatial ability, visuoconstructive ability, visual memory, and naming, forming a cluster of between-module correlations that was not as salient in controls. In addition, verbal memory measures tended to correlate strongly with themselves and with some measures of executive function as well as with semantic fluency and visual memory recognition, which was not as salient in controls. Therefore, there were numerous strong correlations in chess players both between-modules and within-module, suggesting greater integration in chess players. In contrast, controls tended to have less widespread correlations with less correlations between-modules than chess players.

The quantitative analysis of global graph measures showed that chess players had a higher average local efficiency and a lower average global efficiency, compared with the control group (Figure 2). There were no statistically significant group differences in transitivity or average strength. Hence, chess players had greater integration at the local level, but not at the global level, with o differences in segregation.

Figure 2
www.frontiersin.org

Figure 2. Global graph measures. The figure illustrates global graph measures of (A) global efficiency, (B) local efficiency, and (C) transitivity, with network densities on the x-axis ranging from min = 10% to max = 45%, in steps of 1%. Group differences are depicted on the y-axis. Differences are significant when red circles fall outside the shaded area in gray color (95% confidence intervals), with controls as the depicted group (positive differences mean higher values in controls). (D) Average strength was calculated on weighted networks.

In the nodal graph analysis, chess players showed a higher nodal closeness centrality in STROOP Words, STROOP Colors, STROOP inhibition, VR Copying, VR Total Recognition, and Luria’s hand alternating movements (HAM) with the right hand, compared with the control group. Conversely, the control group showed a higher nodal closeness centrality in FAS. There were no statistically significant differences between groups in nodal global efficiency or nodal local efficiency (Table 4).

Table 4
www.frontiersin.org

Table 4. Nodal graph analysis.

3.3 Third aim: architecture of cognitive connectome through modular analysis of community structures

Thirdly, we analyzed differences in community structure between chess players and controls. This analysis revealed distinct modular topologies in chess players and controls (Figure 3). Chess players showed three modules while controls showed four modules. In addition, the cognitive architecture of chess players was organized more coherently with modules including functionally/anatomically similar cognitive functions as follows: an executive/processing speed module (yellow circle in Figure 3), a visual module including visual memory, visuoconstructive, visuoperceptive, and visuospatial measures (orange circle), and a verbal memory module (blue circle). However, in the control group, the modules included somehow mixed cognitive functions, with a less coherent architecture, as follows: an executive/processing speed module (yellow circle in Figure 3), a module including executive, visual memory, and visuospatial measures (orange circle), a module including verbal memory, visuoconstructive, and visuoperceptive measures (blue circle), and a module including premotor, semantic, and visuospatial measures (green circle).

Figure 3
www.frontiersin.org

Figure 3. Architecture of cognitive connectomes from modular analysis of community structures. After modular analysis, each resulting module was represented by a different color (blue, orange, yellow, and green) for both study groups. (A) Cognitive architecture of the chess players’ connectome and (B) Cognitive architecture of the control group’s connectome.

4 Discussion

The overall goal of the current study was to investigate the cognitive connectome of adult chess players. We found that chess players had a more integrated connectome locally, where nodes related to executive/attention/processing speed and visuoconstructive abilities played a central role. Furthermore, chess players had a slightly reorganized cognitive architecture into three functionally and anatomically coherent modules, in the context of better cognitive performance in visuospatial abilities and large effect sizes of differences in executive/attention/processing speed, semantic fluency, and visual abilities, when compared with controls.

The univariate analysis demonstrated that chess players perform better than controls in visuospatial abilities. High performance in visuospatial abilities in chess players was also reported in a previous study (Saariluoma et al., 2004). In addition, previous studies reported differences in other cognitive functions such as memory, attention, verbal skills, processing speed, and executive functions (Chase and Simon, 1973; Bachmann and Oit, 1992; Gobet and Simon, 1996; Reingold et al., 2001; Unterrainer et al., 2006; Bilalić et al., 2010, 2012; Fattahi et al., 2015; Burgoyne et al., 2016). While we did not find any statistically significant differences beyond visuospatial abilities, we did observe large effect sizes of differences with chess players performing better in executive/attention/processing speed and visual abilities, in line with the cited studies. Therefore, it is possible that those differences also existed in our cohort but were difficult to capture due to our slightly smaller sample size than in Bachmann and Oit (1992), Fattahi et al. (2015), and Unterrainer et al. (2006); or because most previous studies included younger samples, while group differences could be mitigated with increasing age. An interesting prospect for future studies would be to investigate whether the positive effect of chess on cognition diminishes with increasing age.

We expanded the previous research based on univariate analyses by performing graph theory analysis on cognitive measures. Visual inspection of the cognitive connectomes revealed that chess players had a more widespread pattern of correlations. In particular, executive/attention measures correlated strongly with themselves and with measures of premotor function, visuospatial ability, visuoconstructive ability, visual memory, and naming. In addition, verbal memory measures correlated strongly with themselves and with measures of executive function/attention, semantic fluency, and visual memory recognition. This translates into a pattern of increased between- and within-module connectivity in chess players, perhaps explained by the high cognitive demand of intensive chess practice over time. Modules would reflect cognitive (but possibly, also functional or structural) subnetworks. This means that chess players may have an advantage to integrate different subnetworks or distribute information rapidly across subnetworks. Previous univariate studies highlighted the proficiency of chess players in tests of executive function/attention, memory, and visual ability (Bachmann and Oit, 1992; Reingold et al., 2001; Unterrainer et al., 2006; Bilalić et al., 2010, 2012; Fattahi et al., 2015; Burgoyne et al., 2016).

The modular analysis of community structures further supports the idea of a potential reorganization of the cognitive connectome in chess players. We observed that chess players had less modules than controls, with a more functionally and anatomically coherent architecture. In particular, we observed a first module including executive/attention/processing speed abilities, a second module including visual abilities, and a third module including verbal abilities. This architecture suggests a frank separation between traditionally considered right hemisphere (second module) and left hemisphere (third module) abilities, with the additional role of the frontal lobe and its white matter connectivity (first module) to possibly orchestrate the full connectome. This architecture contrasts with the less coherent and more globally integrated organization of the control group.

We further substantiated our qualitative inspection of connectomes and analysis of community structures by performing quantitative analyses on global and nodal graph theory measures. Indeed, we found that chess players had a higher average local efficiency than controls. A previous study reported differences between expert chess players and novice players using graph theory analysis on resting-state functional magnetic resonance imaging (rs-fMRI) (Duan et al., 2014). They observed that grandmaster and master level chess players had a higher clustering coefficient than novice players. That finding partly aligns with our result on average local efficiency. While the average local efficiency primary is a measure of integration of short connections, it can also be interpreted as a measure of segregation, like the clustering coefficient: i.e. strong short connections (high local efficiency) together with weak long connections (low global efficiency) define a more segregated network, which would be signified by a higher clustering coefficient. Hence, our study expands the previous rs-fMRI findings of Duan et al. (2014) by demonstrating that the advantageous functional connectivity in chess players seems to permeate the cognitive connectome, thus preliminarily linking brain and behavioral results.

We also observed that chess players had a lower average global efficiency than controls. Global efficiency reflects whether nodes correlate with each other forming short paths, with higher global efficiency values reflecting the capacity to quickly distribute information across the connectome via short paths (Sporns, 2018). In the context of our study, the average global efficiency reflects how the performance in a specific cognitive task contributes to performance in other tasks within the connectome (between-module or subnetwork connectivity). In contrast, the average local efficiency is restricted to a given node and the subgraph created by other nodes belonging to the same community (within-module or subnetwork connectivity). It is possible that the low global efficiency in chess players is a consequence of the high local efficiency, without affecting the segregation of their connectome. The intensive training of a visual subnetwork and the high demands on an executive/attention/processing speed subnetwork as informed by our analysis of community structures may rewire the connectome of chess players into a highly specialized connectome to face the demands of a task like chess. This would be at the cost of a lower capacity to integrate the connectome globally, or at least not in the same balanced way controls integrate their connectome globally, because perhaps the verbal subnetwork is not as intensively trained as the visual subnetwork in chess players. Our finding of chess players having a lower nodal closeness centrality in verbal fluency (FAS) would support this idea. This interpretation of global efficiency remains speculative at the moment but is supported by several previous studies where we demonstrated a similar pattern of results with a lower global efficiency in people performing high in a linguistic task, presumably because of their greater capacity to recruit non-linguistic cognitive networks (between-subnetwork connectivity), and an efficient use of language networks (within-subnetwork connectivity) (Gonzalez-Burgos et al., 2020; Gonzalez-Burgos et al., 2021; Mohanty et al., 2021). This hypothesis would be further supported by rs-fMRI, electroencephalography (EEG), or single photon emission computerized tomography (SPECT) studies that showed an increased brain activation in posterior brain regions, the non-dominant hemisphere, and subcortical structures in response to a high cognitive demand or difficulty level (Onofrj et al., 1995; Duan et al., 2012; Villafaina et al., 2019, 2021; Song et al., 2020). Hence, we suggest that the high local efficiency in the cognitive connectome of chess players may be at the cost of a low global efficiency, possibly resulting in a higher specialized performance. This more integrated connectome locally at the cost of a less integrated connectome globally may be due to the central role of executive/attentional/processing speed and visuoconstructive nodes in the connectome of chess players, as reflected by our nodal analyses.

We cannot discuss our graph theory results with similar studies in chess players because of the lack of such studies. Nonetheless, two previous studies used graph theory on cognitive data from cognitively unimpaired individuals (Garcia-Cabello et al., 2021; Wright et al., 2021), like the population in our study. They both demonstrated that the cognitive connectome exhibits changes across age that likely mitigate the effects of aging on cognitive performance (Garcia-Cabello et al., 2021; Wright et al., 2021). In a recent study, we investigated the effect of cognitive reserve on the cognitive connectome, as well as how cognitive reserve may modulate the cognitive connectome across age groups (Habich et al., 2024). We found that individuals with a high cognitive reserve exhibited a more stable cognitive connectome across ages in terms of segregation and integration, compared to individuals with a low cognitive reserve. This pattern was associated with a better cognitive performance in individuals with a high cognitive reserve across all age groups (Habich et al., 2024). Hence, cognitive reserve and activities that are highly stimulating such as playing chess, may influence the cognitive connectome in rather similar ways. This influence may translate into certain cognitive benefits. For chess, these benefits may include specific capabilities for decision-making, problem-solving, attentional processes, working memory, and perceptual processes—cognitive functions that are activated during a chess game.

Overall, we demonstrate the capacity of graph theory to identify differences in the cognitive connectome of chess player, above and beyond the differences detected by univariate analyses. Nonetheless, we acknowledge some limitations in our study. Firstly, by design, we restricted our cohort to men due to the low representation of women chess players in the sources we recruited our participants. The lower representation of women chess players is common in previous studies. The reason for this underrepresentation is unknown, but some authors have suggested that it may be related to social factors such as the lack of female chess role models or because different gender socialization experiences may lead to different interests or motivations for free time activities (Charness and Gerchak, 1996; Bilalić and McLeod, 2006; Chabris and Glickman, 2007; Bilalić et al., 2009; Blanch et al., 2015). Although we are not aware of previous studies investigating sex differences in the cognitive connectome, it would be interesting to test whether the cognitive connectome of men and women chess players differ. Secondly, the sample size of our study is relatively small, although it is similar or exceeds the sample size of some previous chess studies (Brockmole et al., 2008; Bilalić et al., 2009; Kiesel et al., 2009; Bilalić et al., 2010, 2012). This issue of small sample sizes in chess studies in general may be due to difficulties in identifying and recruiting the study population. Nonetheless, despite the current sample size, we could fulfil the goal of this study of comparing graph theory results with univariate analysis results. Thirdly, we limited our analyses to compare chess players with controls, while the degree of practice, expertise level, and other variables related to chess proficiency could have an additional impact on the cognitive connectome and architecture of chess players. Fourthly, we did not perform any corrections for multiple comparisons in univariate analysis, while p-values in nodal graph analyses were adjusted using the FDR method. Despite this conservative choice for the graph theoretical analyses, we could validate our hypothesis that graph analysis would reveal more significant differences than univariate analysis. Fifthly, although we did not account for the potential influence of group differences in leisure and physical activities or diet, we did ensure that both groups were comparable in crystallized intelligence. In our cohort, crystallized intelligence reflects the individual’s interests (Correia et al., 2015) and correlates with a questionnaire of cognitive reserve that includes performance of cognitively stimulating activities (Ferreira et al., 2016). Our study thus serves to identify some key characteristics of the cognitive connectome of chess players and, if replicated in independent and larger cohorts, future studies could expand the current findings towards defining the additional impact of chess proficiency on the cognitive connectome. Finally, our current analyses are cross-sectional and we cannot fully demonstrate causal relations between chess practice and cognitive performance.

We conclude that, in our cohort, the connectome of chess players was more integrated locally than that of healthy controls, but at the cost of a less integrated connectome globally. This may be due to the central role of executive/attention/processing speed and visuoconstructive nodes in the connectome of chess players, while the differences do not seem to permeate segregation aspects of their connectome. Based on these findings, we suggest that the cognitive architecture of chess players may be slightly reorganized into functionally and anatomically coherent modules reflecting a distinction between visual, verbal, and executive/attention/processing speed related functions. This architecture could be reminiscent of right hemisphere and left hemisphere subnetworks orchestrated by the frontal lobe and its white matter connections, partly favoring chess players on cognitively demanding tasks with a strong visual component. Future studies should integrate neuroimaging and cognitive data to advance our current understanding on the potential impact of chess on brain functioning and cognitive performance.

Data availability statement

The raw data supporting the conclusions of this article will be made available by the authors upon reasonable request of qualified researchers.

Ethics statement

The studies involving humans were approved by the ethics committee of the University of La Laguna (Spain), project number 57. The studies were conducted in accordance with the local legislation and institutional requirements. The participants provided their written informed consent to participate in this study. Written informed consent was obtained from the individual(s) for the publication of any potentially identifiable images or data included in this article.

Author contributions

LG-B: Writing – original draft, Methodology, Formal analysis, Data curation, Conceptualization. CL-R: Project administration, Supervision, Writing – review & editing, Data curation. YM: Writing – review & editing, Conceptualization. EG-C: Methodology, Writing – review & editing. RA: Writing – review & editing, Supervision, Conceptualization. JB: Project administration, Writing – review & editing, Supervision, Resources, Funding acquisition, Conceptualization. DF: Resources, Project administration, Writing – review & editing, Writing – original draft, Supervision, Methodology, Funding acquisition, Conceptualization.

Funding

The author(s) declare that financial support was received for the research, authorship, and/or publication of this article. This project received funding from Fundación Cajacanarias; Estrategia de Especialización Inteligente de Canarias RIS3 de la Consejería de Economía, Industria, Comercio y Conocimiento del Gobierno de Canarias, co-funded by Programa Operativo FEDER Canarias 2014–2020 (ProID2020010063); the Swedish Research Council (Vetenskapsrådet, grant 2022–00916), the Center for Innovative Medicine (CIMED, grants 20200505 and FoUI-988826), the regional agreement on medical training and clinical research of Stockholm Region (ALF Medicine, grants FoUI-962240 and FoUI-987534), the Swedish Brain Foundation (Hjärnfonden FO2023-0261, FO2022-0175, FO2021-0131), the Swedish Alzheimer Foundation (Alzheimerfonden AF-968032, AF-980580, AF-994058), the Swedish Dementia Foundation (Demensfonden), the Gamla Tjänarinnor Foundation, the Gun och Bertil Stohnes Foundation, Funding for Research from Karolinska Institutet, Neurofonden, and the Foundation for Geriatric Diseases at Karolinska Institutet, as well as contributions from private bequests.

Acknowledgments

The data used for the preparation of this article is part of the GENIC-database (Group of Neuropsychological Studies of the Canary Islands, University of La Laguna, Spain, Principal investigators: José Barroso and Daniel Ferreira, Contact: ZGFuaWVsLmZlcnJlaXJhLnBhZGlsbGFAa2kuc2U=). The following collaborators contributed to the GENIC-database but did not participate in analysis or writing of this article (in alphabetic order by family name): Nira Cedrés, Rut Correia, Patricia Díaz, Aída Figueroa, Nerea Figueroa, Teodoro González, Zaira González, Cathaysa Hernández, Edith Hernández, Nira Jiménez, Judith López, Alejandra Machado, Antonieta Nieto, María Sabucedo, Elena Sirumal, Marta Suárez, Manuel Urbano, and Pedro Velasco.

Conflict of interest

Daniel Ferreira consults for BioArctic and has received honoraria from Esteve.

The remaining authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.

The author(s) declared that they were an editorial board member of Frontiers, at the time of submission. This had no impact on the peer review process and the final decision.

Publisher’s note

All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.

Supplementary material

The Supplementary material for this article can be found online at: https://www.frontiersin.org/articles/10.3389/fpsyg.2024.1407583/full#supplementary-material

Footnotes

References

Bachmann, T., and Oit, M. (1992). Stroop-like interference in chess players’ imagery: an unexplored possibility to be revealed by the adapted moving-spot task. Psychol. Res. 54, 27–31. doi: 10.1007/BF01359220

Crossref Full Text | Google Scholar

Benedet, M.J., and Alejandre, M.A. (1998) TAVEC: Test de Aprendizaje Verbal España-Complutense. Manual. Madrid: TEA Ediciones. Available at: https://dialnet.unirioja.es/servlet/libro?codigo=212146 (Accessed February 9, 2024).

Google Scholar

Benton, A., Hamsher, K., and Sivan, A. (1989). Multilingual aphasia examination. 2nd Edn. Iowa City, IA: AJA Associates.

Google Scholar

Benton, A., Hamsher, S., Varney, O., and Spreen, N. (1983). Contributions to neuropsychological assessment: a clinical manual. New York: Oxford University Press.

Google Scholar

Bilalić, M., Langner, R., Erb, M., and Grodd, W. (2010). Mechanisms and neural basis of object and pattern recognition: a study with chess experts. J. Exp. Psychol. Gen. 139, 728–742. doi: 10.1037/a0020756

PubMed Abstract | Crossref Full Text | Google Scholar

Bilalić, M., and McLeod, P. (2006). How intellectual is chess?--a reply to Howard. J. Biosoc. Sci. 38, 419–421. doi: 10.1017/S0021932005001185

Crossref Full Text | Google Scholar

Bilalić, M., McLeod, P., and Gobet, F. (2009). Specialization effect and its influence on memory and problem solving in expert chess players. Cogn. Sci. 33, 1117–1143. doi: 10.1111/j.1551-6709.2009.01030.x

Crossref Full Text | Google Scholar

Bilalić, M., Smallbone, K., McLeod, P., and Gobet, F. (2009). Why are (the best) women so good at chess? Participation rates and gender differences in intellectual domains. Proceed. Biol. Sci. 276, 1161–1165. doi: 10.1098/rspb.2008.1576

PubMed Abstract | Crossref Full Text | Google Scholar

Bilalić, M., Turella, L., Campitelli, G., Erb, M., and Grodd, W. (2012). Expertise modulates the neural basis of context dependent recognition of objects and their relations. Hum. Brain Mapp. 33, 2728–2740. doi: 10.1002/hbm.21396

PubMed Abstract | Crossref Full Text | Google Scholar

Blanch, A., Aluja, A., and Cornado, M.-P. (2015). Sex differences in chess performance: analyzing participation rates, age, and practice in chess tournaments. Personal. Individ. Differ. 86, 117–121. doi: 10.1016/j.paid.2015.06.004

Crossref Full Text | Google Scholar

Blondel, V. D., Guillaume, J. L., Lambiotte, R., and Lefebvre, E. (2008). Fast unfolding of communities in large networks. J. Statistic. Mechanics 2008:P10008. doi: 10.1088/1742-5468/2008/10/P10008

Crossref Full Text | Google Scholar

Boggan, A. L., Bartlett, J. C., and Krawczyk, D. C. (2012). Chess masters show a hallmark of face processing with chess. J. Exp. Psychol. Gen. 141, 37–42. doi: 10.1037/a0024236

Crossref Full Text | Google Scholar

Brockmole, J. R., Hambrick, D. Z., Windisch, D. J., and Henderson, J. M. (2008). The role of meaning in contextual cueing: evidence from chess expertise. Q. J. Exp. Psychol. 61, 1886–1896. doi: 10.1080/17470210701781155

PubMed Abstract | Crossref Full Text | Google Scholar

Bullmore, E., and Sporns, O. (2009). Complex brain networks: graph theoretical analysis of structural and functional systems. Nat. Rev. Neurosci. 10, 186–198. doi: 10.1038/nrn2575

Crossref Full Text | Google Scholar

Burgoyne, A. P., Sala, G., Gobet, F., Macnamara, B. N., Campitelli, G., and Hambrick, D. Z. (2016). The relationship between cognitive ability and chess skill: a comprehensive meta-analysis. Intelligence 59, 72–83. doi: 10.1016/j.intell.2016.08.002

Crossref Full Text | Google Scholar

Chabris, C., and Glickman, M. (2007). Sex differences in intellectual performance analysis of a large cohort of competitive chess players. Psychol. Sci. 17, 1040–1046. doi: 10.1111/j.1467-9280.2006.01828.x

Crossref Full Text | Google Scholar

Charness, N., and Gerchak, Y. (1996). Participation rates and maximal performance: a log-linear explanation for group differences, such as Russian and male dominance in chess. Psychol. Sci. 7, 46–51. doi: 10.1111/j.1467-9280.1996.tb00665.x

Crossref Full Text | Google Scholar

Charness, N., Reingold, E. M., Pomplun, M., and Stampe, D. M. (2001). The perceptual aspect of skilled performance in chess: evidence from eye movements. Mem. Cogn. 29, 1146–1152. doi: 10.3758/BF03206384

PubMed Abstract | Crossref Full Text | Google Scholar

Chase, W. G., and Simon, H. A. (1973). Perception in chess. Cogn. Psychol. 4, 55–81. doi: 10.1016/0010-0285(73)90004-2

Crossref Full Text | Google Scholar

Christensen, A.-L. (1979). Luria’s neupsychological investigation. 2nd Edn. Copenhagen: Munksgaard.

Google Scholar

Correia, R., Nieto, A., Ferreira, D., Sabucedo, M., and Barroso, J. (2015). Fund of Information is more strongly associated with neuropsychological functioning than education in older Spanish adults. Archives Clin. Neuropsychol. 30, 310–321. doi: 10.1093/arclin/acv011

PubMed Abstract | Crossref Full Text | Google Scholar

D’Elia, L., and Saltz, P. (1989). Color Trail 1 and 2. Odessa, FL: Psychological Assessment Resources.

Google Scholar

Duan, X., He, S., Liao, W., Liang, D., Qiu, L., Wei, L., et al. (2012). Reduced caudate volume and enhanced striatal-DMN integration in chess experts. NeuroImage 60, 1280–1286. doi: 10.1016/j.neuroimage.2012.01.047

PubMed Abstract | Crossref Full Text | Google Scholar

Duan, X., Long, Z., Chen, H., Liang, D., Qiu, L., Huang, X., et al. (2014). Functional organization of intrinsic connectivity networks in Chinese-chess experts. Brain Res. 1558, 33–43. doi: 10.1016/j.brainres.2014.02.033

PubMed Abstract | Crossref Full Text | Google Scholar

Elo, A. E. (1978). The rating of chessplayers, past and present. New York: Arco Pub.

Google Scholar

Fattahi, F., Geshani, A., Jafari, Z., Jalaie, S., and Salman Mahini, M. (2015). Auditory memory function in expert chess players. Med. J. Islam. 29, 275.

Google Scholar

Ferreira, D., Bartrés-Faz, D., Nygren, L., Rundkvist, L. J., Molina, Y., Machado, A., et al. (2016). Different reserve proxies confer overlapping and unique endurance to cortical thinning in healthy middle-aged adults. Behav. Brain Res. 311, 375–383. doi: 10.1016/j.bbr.2016.05.061

PubMed Abstract | Crossref Full Text | Google Scholar

Ferreira, D., Pereira, J. B., Volpe, G., and Westman, E. (2019). Subtypes of Alzheimer’s disease display distinct network abnormalities extending beyond their pattern of brain atrophy. Front. Neurol. 10:524. doi: 10.3389/fneur.2019.00524

PubMed Abstract | Crossref Full Text | Google Scholar

Folstein, M. F., Folstein, S. E., and McHugh, P. R. (1975). “Mini-mental state”. A practical method for grading the cognitive state of patients for the clinician. J. Psychiatr. Res. 12, 189–198. doi: 10.1016/0022-3956(75)90026-6

Crossref Full Text | Google Scholar

Garcia-Cabello, E., Gonzalez-Burgos, L., Pereira, J. B., Hernández-Cabrera, J. A., Westman, E., Volpe, G., et al. (2021). The cognitive connectome in healthy aging. Front. Aging Neurosci. 13:694254. doi: 10.3389/fnagi.2021.694254

PubMed Abstract | Crossref Full Text | Google Scholar

Gobet, F. (1998). Expert memory: a comparison of four theories. Cognition 66, 115–152. doi: 10.1016/S0010-0277(98)00020-1

PubMed Abstract | Crossref Full Text | Google Scholar

Gobet, F., and Charness, N. (2006). ‘Expertise in chess’, in the Cambridge handbook of expertise and expert performance. New York, NY, US: Cambridge University Press, 523–538.

Google Scholar

Gobet, F., and Simon, H. A. (1996). Templates in chess memory: a mechanism for recalling several boards. Cogn. Psychol. 31, 1–40. doi: 10.1006/cogp.1996.0011

Crossref Full Text | Google Scholar

Gobet, F., and Simon, H. A. (1998). Expert chess memory: revisiting the chunking hypothesis. Memory 6, 225–255. doi: 10.1080/741942359

Crossref Full Text | Google Scholar

Golden, C. J. (1978). Stroop colour and word test: A manual for clinical and experimental uses. Chicago, Illinois: Stoelting Company.

Google Scholar

Gonzalez-Burgos, L., Barroso, J., and Ferreira, D. (2020). Cognitive reserve and network efficiency as compensatory mechanisms of the effect of aging on phonemic fluency. Aging 12, 23351–23378. doi: 10.18632/aging.202177

Crossref Full Text | Google Scholar

Gonzalez-Burgos, L., Pereira, J. B., Mohanty, R., Barroso, J., Westman, E., and Ferreira, D. (2021). Cortical networks underpinning compensation of verbal fluency in Normal aging. Cerebral Cortex (New York, NY) 31, 3832–3845. doi: 10.1093/cercor/bhab052

PubMed Abstract | Crossref Full Text | Google Scholar

Habich, A., Garcia-Cabello, E., Abbatantuono, L., Taurisano, P., and Dierks, T. (2024). The effect of cognitive reserve on the cognitive connectome in healthy ageing. GeroScience. doi: 10.1007/s11357-024-01328-4

Crossref Full Text | Google Scholar

Hänggi, J., Brütsch, K., Siegel, A. M., and Jäncke, L. (2014). The architecture of the chess player’s brain. Neuropsychologia 62, 152–162. doi: 10.1016/j.neuropsychologia.2014.07.019

PubMed Abstract | Crossref Full Text | Google Scholar

Holding, D. H. (1992). Theories of chess skill. Psychol. Res. 54, 10–16. doi: 10.1007/BF01359218

Crossref Full Text | Google Scholar

Kaplan, E., Goodglass, H., and Weintraub, S. (1983). Boston naming test. Philadelphia: Lea & Febiger.

Google Scholar

Kiesel, A., Kunde, W., Pohl, C., Berner, M. P., and Hoffmann, J. (2009). Playing chess unconsciously. J. Exp. Psychol. Learn. Mem. Cogn. 35, 292–298. doi: 10.1037/a0014499

PubMed Abstract | Crossref Full Text | Google Scholar

Latora, V., and Marchiori, M. (2001). Efficient behavior of small-world networks. Phys. Rev. Lett. 87:198701. doi: 10.1103/PhysRevLett.87.198701

Crossref Full Text | Google Scholar

Machado, A., Barroso, J., Molina, Y., Nieto, A., Díaz-Flores, L., Westman, E., et al. (2018). Proposal for a hierarchical, multidimensional, and multivariate approach to investigate cognitive aging. Neurobiol. Aging 71, 179–188. doi: 10.1016/j.neurobiolaging.2018.07.017

PubMed Abstract | Crossref Full Text | Google Scholar

Mijalkov, M., Kakaei, E., Pereira, J. B., Westman, E., and Volpe, G.for the Alzheimer's Disease Neuroimaging Initiative (2017). BRAPH: a graph theory software for the analysis of brain connectivity. PLoS One 12:e0178798. doi: 10.1371/journal.pone.0178798

PubMed Abstract | Crossref Full Text | Google Scholar

Mohanty, R., Gonzalez-Burgos, L., Diaz-Flores, L., Muehlboeck, J. S., Barroso, J., Ferreira, D., et al. (2021). Functional connectivity and compensation of phonemic fluency in aging. Front. Aging Neurosci. 13:644611. doi: 10.3389/fnagi.2021.644611

PubMed Abstract | Crossref Full Text | Google Scholar

Nejati, M., and Nejati, V. (2012). Frontal lobe function in chess players. Acta Med. Iran. 50, 311–314

PubMed Abstract | Google Scholar

Oldfield, R. C. (1971). The assessment and analysis of handedness: the Edinburgh inventory. Neuropsychologia 9, 97–113. doi: 10.1016/0028-3932(71)90067-4

Crossref Full Text | Google Scholar

Onofrj, M., Curatola, L., Valentini, G., Antonelli, M., Thomas, A., and Fulgente, T. (1995). Non-dominant dorsal-prefrontal activation during chess problem solution evidenced by single photon emission computerized tomography (SPECT). Neurosci. Lett. 198, 169–172. doi: 10.1016/0304-3940(95)11985-6

Crossref Full Text | Google Scholar

R Core Team . (2016). R: a language and environment for statistical computing. Vienna, Austria.

Google Scholar

Reingold, E. M., Charness, N., Pomplun, M., and Stampe, D. M. (2001). Visual span in expert chess players: evidence from eye movements. Psychol. Sci. 12, 48–55. doi: 10.1111/1467-9280.00309

PubMed Abstract | Crossref Full Text | Google Scholar

Rubinov, M., and Sporns, O. (2010). Complex network measures of brain connectivity: uses and interpretations. NeuroImage 52, 1059–1069. doi: 10.1016/j.neuroimage.2009.10.003

Crossref Full Text | Google Scholar

Saariluoma, P., Karlsson, H., Lyytinen, H., Teräs, M., and Geisler, F. (2004). Visuospatial representations used by chess experts: a preliminary study. Eur. J. Cogn. Psychol. 16, 753–766. doi: 10.1080/09541440340000501

Crossref Full Text | Google Scholar

Song, L., Peng, Q., Liu, S., and Wang, J. (2020). Changed hub and functional connectivity patterns of the posterior fusiform gyrus in chess experts. Brain Imaging Behav. 14, 797–805. doi: 10.1007/s11682-018-0020-0

PubMed Abstract | Crossref Full Text | Google Scholar

Sporns, O. (2018). Graph theory methods: applications in brain networks. Dialogues Clin. Neurosci. 20, 111–121. doi: 10.31887/DCNS.2018.20.2/osporns

Crossref Full Text | Google Scholar

Tosi, G., Borsani, C., Castiglioni, S., Daini, R., Franceschi, M., and Romano, D. (2020). Complexity in neuropsychological assessments of cognitive impairment: a network analysis approach. Cortex 124, 85–96. doi: 10.1016/j.cortex.2019.11.004

PubMed Abstract | Crossref Full Text | Google Scholar

Unterrainer, J. M., Kaller, C. P., Halsband, U., and Rahm, B. (2006). Planning abilities and chess: a comparison of chess and non-chess players on the tower of London task. Br. J. Psychol. 97, 299–311. doi: 10.1348/000712605X71407

Crossref Full Text | Google Scholar

Unterrainer, J. M., Kaller, C. P., Leonhart, R., and Rahm, B. (2011). Revising superior planning performance in chess players: the impact of time restriction and motivation aspects. Am. J. Psychol. 124, 213–225. doi: 10.5406/amerjpsyc.124.2.0213

PubMed Abstract | Crossref Full Text | Google Scholar

Villafaina, S., Castro, M. A., Pereira, T., Carvalho Santos, A., and Fuentes-García, J. P. (2021). Neurophysiological and autonomic responses of high and low level chess players during difficult and easy chess endgames - a quantitative EEG and HRV study. Physiol. Behav. 237:113454. doi: 10.1016/j.physbeh.2021.113454

PubMed Abstract | Crossref Full Text | Google Scholar

Villafaina, S., Collado-Mateo, D., Cano-Plasencia, R., Gusi, N., and Fuentes, J. P. (2019). Electroencephalographic response of chess players in decision-making processes under time pressure. Physiol. Behav. 198, 140–143. doi: 10.1016/j.physbeh.2018.10.017

PubMed Abstract | Crossref Full Text | Google Scholar

Wechsler, D. (1997a). Wechsler adult intelligence scale- administration and scoring manual. (3rd ed.). 3rd Edn. San Antonio, Tex: The Psychological Corporation.

Google Scholar

Wechsler, D. (1997b). Wechsler memory scale - third edition technical manual. 3rd Edn. San Antonio, TX: The Psychological Corporation.

Google Scholar

Wright, L. M., De Marco, M., and Venneri, A. (2021). A graph theory approach to clarifying aging and disease related changes in cognitive networks. Front. Aging Neurosci. 13:676618. doi: 10.3389/fnagi.2021.676618

Crossref Full Text | Google Scholar

Keywords: chess, neuropsychology, graph theory, connectome, modularity, efficiency

Citation: Gonzalez-Burgos L, Lozano-Rodriguez C, Molina Y, Garcia-Cabello E, Aciego R, Barroso J and Ferreira D (2024) The effect of chess on cognition: a graph theory study on cognitive data. Front. Psychol. 15:1407583. doi: 10.3389/fpsyg.2024.1407583

Received: 27 March 2024; Accepted: 29 August 2024;
Published: 17 September 2024.

Edited by:

Eirini Mavritsaki, Birmingham City University, United Kingdom

Reviewed by:

Paolo Taurisano, University of Bari Aldo Moro, Italy
Alexey Root, The University of Texas at Dallas, United States

Copyright © 2024 Gonzalez-Burgos, Lozano-Rodriguez, Molina, Garcia-Cabello, Aciego, Barroso and Ferreira. This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.

*Correspondence: Daniel Ferreira, ZGFuaWVsLmZlcnJlaXJhLnBhZGlsbGFAa2kuc2U=

These authors share senior authorship

Disclaimer: All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article or claim that may be made by its manufacturer is not guaranteed or endorsed by the publisher.