Exploring the neural basis and modulating factors of implicit altercentric spatial perspective-taking with fNIRS

Humans spontaneously take the perspective of others when encoding spatial information in a scene, especially with agentive action cues present. This functional near-infrared spectroscopy (fNIRS) study explored how action observation influences implicit spatial perspective-taking (SPT) by adapting a left–right spatial judgment task to investigate whether transformation strategies underlying altercentric SPT can be predicted on the basis of cortical activation. Strategies associated with two opposing neurocognitive accounts (embodied versus disembodied) and their proposed neural correlates (human mirror neuron system; hMNS versus cognitive control network; CCN) are hypothesized. Exploratory analyses with 117 subjects uncover an interplay between perspective-taking and post-hoc factor, consistency of selection, in regions alluding to involvement of the CCN. Descriptively, inconsistent altercentric SPT elicited greater activation than consistent altercentric SPT and/or inconsistent egocentric SPT in the left inferior frontal gyrus (IFG), left dorsolateral prefrontal cortex (DLPFC) and left motor cortex (MC), but not the inferior parietal lobules (IPL). Despite the presence of grasping cues, spontaneous embodied strategies were not evident during implicit altercentric SPT. Instead, neural trends in the inconsistent subgroups (22 subjects; 13 altercentric; 9 egocentric) suggest that inconsistency in selection modulates the decision-making process and plausibly taps on deliberate and effortful disembodied strategies driven by the CCN. Implications for future research are discussed.

www.nature.com/scientificreports/Although it is not necessary to understand how others perceive their surroundings in order to judge where items are located in space relative to them 6 , previous research has shown that people keenly adopt the visuospatial perspectives of others when encoding spatial information in a scene 1,[10][11][12] .When tasked to make spatial judgments about the relative location of objects in the absence of other persons in the scene, people tend to assume a spatial perspective from the egocentric frame of reference; that is, representing spatial information relative to the position of their own bodies (e.g., 'on my left') 1,13 .This computation is said to be anchored in biases to reason the world first through one's own senses [14][15][16][17][18] .However, when someone else is introduced into the scene, adults show a remarkable sensitivity to encode spatial relationships from the other person's (altercentric) frame of reference rather than their own (e.g., 'on his/her left'), even if the altercentric perspective is irrelevant 1,11,[19][20][21][22][23] .For example, Tversky and Hard 1 showed that an actor's presence and perceived agency in a photographed scene influenced participants' written responses to a query strictly about spatial relations between depicted objects in the scene.In spite of the actor displaying a different spatial orientation (in a 180° angle opposite from the viewer's position), a greater proportion of participants described the relative location of the target object from the front-facing actor's reference frame in conditions featuring the actor than in the no-actor condition.This finding was comparable regardless of whether the actor was seen performing a reaching action or simply looking at the array of objects.Moreover, highlighting the saliency of the actor's action by phrasing the query in either active or passive action terms ("In relation to the bottle, where does he place the book/where is the book placed?"), compared to static terms ("In relation to the bottle, where is his book/where is the book?"), further resulted in a majority of participants taking the altercentric perspective.This effect was independent of whether reference to the agent was made in each question type or not.At the behavioral level, these results underscore the role that action perception plays in bringing about spontaneous assimilation and selection of the altercentric spatial perspective, even in a non-communicative setting.
At the neural level, past research investigating the underlying brain systems linking action observation and perspective-taking has suggested multiple neurocognitive routes for taking contrastive perspectives [24][25][26][27][28] .For instance, using functional magnetic resonance imaging (fMRI), Mazzarella and colleagues 24 found overlapping yet distinct neural mechanisms and brain regions for taking explicitly-instructed egocentric versus altercentric perspectives during left-right spatial judgments.By manipulating agent orientation and observed action (reach versus no-reach), taking the altercentric perspective was proposed to rely concurrently on imagined self-rotation and a suppressed tendency to actually move one's body, evidenced by greater activation in the dorsomedial prefrontal cortex (dmPFC) and left inferior frontal gyrus (IFG) adjacent to the ventral premotor cortex (PMv) with increasing angular disparity between the agent and the participant.On the other hand, when told to stick with the egocentric perspective, inhibition of the agent's irrelevant visual perspective via the lateral prefrontal cortex was required, as well as stronger activation in the right IFG with increasing agent orientation.Although their results lend support to previous findings that contrastive perspectives engage dissociable neurocognitive routes for different inhibitory processes, their data could not provide definitive brain-based evidence for how action observation leads to spontaneous adoption of the altercentric perspective 1,11 .It still remains to be elucidated how agentive action cues contribute to spontaneous altercentric perspective-taking in the brain and whether brain activity may distinguish alternative spatial transformation strategies for implicitly taking an altercentric perspective.
We set out to investigate these within the context of the following two neurocognitive accounts-embodied versus disembodied.Each account represents different potential perspective transformation strategies and their associated neural bases.Chiefly, we aimed to determine if making left-right spatial judgments from an altercentric reference frame, without explicit instructions to do so, is largely driven by a spontaneous and automatic transformation strategy or a more deliberate and effortful one, as supported by two corresponding networks.Subsequently, upon establishing the supporting network, we aimed to explore how either spontaneous or effortful altercentric processing would compare to egocentric processing in terms of reaction times.This behavioral data might help bolster the neurophysiological findings and potentially shed light on strategies pertaining to either account.
In the embodied account, taking the altercentric perspective engages an imagined rotation of the self, transforming one's own egocentric reference frame to the other person's egocentric reference frame 3,4,17,29 .Calculating spatial relations between objects from the altercentric perspective would involve mentally rotating one's self into the other person's position and remapping the locations of the objects to the altercentric reference frame (remapping hypothesis 30 ).Such an egocentric-based transformation into a new spatial location relies on a mental simulation of the sensorimotor mechanisms involved in actual, physical self-rotation 31 , engaging the premotor, parietal, and occipitotemporal cortices 27,28,32,33 .While this process is typically deemed as effortful and prone to increased reaction times (RTs) compared to maintaining an egocentric perspective 3,34 , taking an altercentric perspective could be seen as spontaneous and automatic if the human mirror neuron system (hMNS) is engaged during action observation 9,35,36 .
The hMNS is a neural network underlying both the perception and execution of sensorimotor representations [37][38][39][40] .It has been suggested to be largely involved in automatically facilitating the understanding and imitation of goal-directed hand actions performed by others through motor mirroring 39,41,42 .The most commonly hypothesized areas of the hMNS are the PMv, the IFG and the inferior parietal lobule (IPL) 38,42,43 .The left IFG, in particular, could be considered a key region for social perception and understanding of action goals, being the human homolog of the first site of discovery of mirror neurons in macaque monkeys 44 .Inhibition of the left IFG via repetitive transcranial stimulation (rTMS) has also proven disruption in processes attributed to the hMNS 45 .In our previous work 46 , we also found significant increased activation in the left IFG during the observation of corresponding (as opposed to non-corresponding) hand gestures, crucial to promoting better learning outcomes for learners with low visuospatial abilities.Hence, we propose that a SPT scenario depicting human agentive action cues, such as grasping, may trigger an automatic process of embodied simulation by the hMNS, allowing participants to effortlessly mentally rotate into the agent's position, and thereby make spontaneous left-right spatial judgments from the altercentric perspective.It should be noted, however, that research is still unclear on the extent to which the hMNS might mitigate cognitive costs during the mental rotation process.Therefore, whether an altercentric response via this neurocognitive route should be comparable to an egocentric response remains a hypothesis to be tested, and equal reaction times between the two responses should not be assumed outrightly.
On the other hand, selecting the altercentric perspective under the disembodied account invokes higherlevel cognitive control processes unrelated to bodily motoric simulation 2,30,47,48 .Determining spatial locations of objects from the altercentric perspective would engage deliberate and effortful transformation strategies such as active inhibition of interference from one's own egocentric perspective 2,9 or an updating of spatial working memory to adjust spatial relations, initially computed from the egocentric perspective, to that from the other perspective instead (recomputing hypothesis) 30 .For example, one could transpose 'left' and 'right' to make up for asymmetries between the two conflicting perspectives 17,47 .Such object-based transformation and inhibitory processes rely on extra cognitive resources within the cognitive control network (CCN), of which the dorsolateral prefrontal cortex (DLPFC) has been well documented to be a critical component 18,24,25,49,50 .Other coactive regions within the CCN consist of the anterior cingulate cortex/pre-supplementary motor area (ACC/pSMA), inferior frontal junction (IFJ), anterior insular cortex (AIC), dorsal premotor cortex (dPMC) and posterior parietal cortex (PPC) 51 .Functional and structural connectivity analyses giving rise to brain atlases have contributed to specifying brain-behavior circuitry and mapping them to function [52][53][54][55] .Cognitive control is the primary function of a larger prefrontal cortex (PFC) that can be further divided or organized into six key sub-networks which, whilst specialized functional units, interact amongst each other.The areas associated with the CCN can be found in the fronto-parietal network (DLPFC) and salience/ventral attention network (ACC, IFJ, AIC) 56 .In fact, distinct pathways in the (dorsal) fronto-parietal network can be further defined depending on attentional priorities in egocentric versus object-/other-centered reference frames 57 .For ease of reference, we will henceforth use the term 'CCN' to refer to regions of interest in the disembodied account as opposed to those associated with the embodied account.
The DLPFC has domain-general executive functions including attention, monitoring, updating, and top-down regulation of downstream information processing 58 .During response inhibition, in particular, the DLPFC initiates a two-part inhibitory process by evaluating the environment for the need to stop a response, and then sends a signal to the (right-lateralized) IFG to actively put a 'brake' on the response where necessary [59][60][61] .In turn, the IFG further modulates activity in the pSMA and motor cortex 61 .Depending on the strategy undertaken, activity in these components of the CCN would vary.Deliberate manipulation of spatial relations between objects via the disembodied route has been found to be independent and dissociable from the embodied route, and may take place regardless of whether a scenario enacts social interaction or whether a position presenting an alternative perspective is occupied by a person or inanimate object 2 .Hence, in a similar SPT scenario under implicit conditions, it is feasible that participants might use the other person (and/or the outstretched hand) simply as a marker to locate the target object without the need to rotate into their position.Consciously making left-right spatial judgments from the altercentric perspective using such non-embodied strategies, albeit effortful, would activate components of the CCN.
The present fNIRS study conceptually replicated Tversky and Hard's 1 behavioral paradigm to explore the implications of action observation on implicit SPT at the neurophysiological level.We attempted to investigate whether spatial transformation strategies underlying implicit altercentric perspective-taking-represented by the two neurocognitive accounts-could be predicted on the basis of cortical activation.Without explicit instruction to consider the altercentric perspective, the decision to spatially judge the relative locations of objects from either an egocentric or altercentric perspective is left entirely to the participant.Unlike the original task which prompted open-ended written spatial descriptions using a single picture stimulus, ours was adapted into a multiple-trial, forced-choice paradigm that was digitally presented and compatible with fNIRS.This allowed us to allocate 'left' or 'right' responses to corresponding egocentric or altercentric perspectives and avoid ambiguous neutral responses.We adopted the "action-question-no-actor-mentioned" condition which highlights the action performed by an agent in the query but omits explicit reference to the agent, aiming to replicate the approximately 50-50% egocentric to altercentric response distribution (excluding the 20% neutral responses) they found 1 .We expected a clearer comparison of cortical activation between the egocentric (no spatial transformation) and altercentric (with spatial transformation) responses to differentiate the potential mechanisms driving either embodied or disembodied spatial transformation strategies during implicit altercentric perspective-taking.
Based on the alternative neurocognitive accounts, we explored multiple areas associated with the hMNS (IFG, IPL and PMv) and CCN (DLPFC, IFG and motor cortex; MC) but focused on the left IFG and bilateral DLPFC as critical regions of interest (ROIs) of the hMNS and CCN networks, respectively.If implicit altercentric perspective-taking is driven by spontaneous, embodied spatial transformation strategies supported by the hMNS, we hypothesized greater cortical activation in the left IFG but not in the left or right DLPFC for participants choosing an altercentric perspective than for those choosing an egocentric perspective.However, if implicit altercentric perspective-taking is accomplished via deliberate, disembodied cognitive control strategies supported by the CCN, we predicted greater cortical activation either singularly in the left or right DLPFC, or bilaterally, or possibly a co-activation in the IFG for participants choosing the altercentric perspective over the egocentric perspective.Subsequently, if the embodied hypothesis holds true, either comparable reaction times between the altercentric and egocentric responses or longer altercentric responses could be expected, depending on the extent of mitigation by the hMNS of any cognitive costs involved in the mental rotation process.If the disembodied hypothesis holds true, we expected that altercentric responses would result in longer reaction times than egocentric responses due to effortful spatial transposing and/or egocentric response inhibition strategies.

Paradigm design
The paradigm design consisted of picture stimuli of 24 similar scenes.Each scene showed an agent (front-facing the participant) seated at a table and reaching for one of two objects (book, bottle, glass or plate) placed side by side on the table with either the left or right hand (see Fig. 1).Two male and two female agents were each featured six times throughout the stimuli.Each of the six possible pairings of the four assorted objects (bottlebook, bottle-plate, bottle-glass, book-plate, book-glass, glass-plate) was presented four times throughout the experiment, such that each object in the pair would appear to the left and right of the participant twice.The agent's right hand was seen reaching for the object to the left of the participant in half of the stimuli, while the left hand was seen reaching for the object to the right of the participant in the other half.Beneath each photograph, a question about the spatial relations between the objects was presented in German on the screen in the following structure, e.g., "Where is the book placed in relation to the bottle?"Participants were instructed to respond to the question with either "left" or "right" by pressing the corresponding arrow key with their dominant hand.No explicit instruction to take their own or the agent's perspective was given.This deliberately restrictive set-up ensured that participants made spatial judgments implicitly from either their own (egocentric) or the agent's (altercentric) perspective.To score the responses, if a participant responded with 'left' to a target object that was located to the left of the screen (aligned with the participant's reference frame; e.g., Fig. 1a), that response was automatically coded as egocentric.However, if the participant responded with 'right' in that trial, that response was automatically coded as altercentric.In other words, responses congruent with the target object's position on either side of the screen (participant's reference frame) were coded as egocentric while incongruent responses were coded as altercentric.

Test of spatial ability
To control for spatial abilities such as spatial visualization and mental rotation which can cause individual differences in transformation strategies involving forms and objects during virtual perspective-taking tasks 62,63 , a short version (Part A) of the Paper Folding Test 64 (PFT) was administered.The PFT has been administered in previous fNIRS studies involving visualizations and has been shown to distinguish behavioral performance in relation to cortical activation 46,65 .Each of the ten items of the test consists of a probe and five response options.The probe provides stepwise depictions of how a square sheet of paper is folded (ranging from two to four folds) and punched with a hole in the last step (see example item in Supplementary Fig. S1 online).Participants were required to imagine the folding-punch-unfolding process and identify the option with the correct resulting punch configuration.Participants were given three minutes for the test.One point was awarded for each correct answer (maximum of 10 points).

Experimental procedure
Participants were individually tested in a sound-attenuated booth.After they provided signed informed consent and completed the PFT, the fNIRS probe sets were fastened to their heads (see next section for placement details).The stimuli were displayed on a 22-inch LCD monitor (Eizo Cooperation, Japan) which provided one of two minimal light sources (the other being the fNIRS device) in an otherwise darkened room.Participants' distance to the screen was approximately 60 cm.The stimuli were presented with Presentation ® Version 16.3 (Neurobehavioral Systems Inc., Berkeley, CA, USA) in a randomized order.Each of the 24 trials began with a 500 ms fixation cross followed by a 500 ms blank black-screen and the subsequent onset of the picture stimuli with the corresponding question.The presentation duration for each stimulus was response-locked.Participants' 'left' or 'right' keyboard response automatically triggered a black screen inter-trial interval with a duration jittered between 5000 and 7000 ms before the fixation cross for the next trial appeared.RT (in ms) was recorded as the difference between the point in time when the stimulus appeared and the point in time the participant gave a response.All participants completed a total of 24 trials.Figure 2 illustrates the presentation succession for each trial.

Functional near-infrared spectroscopy
fNIRS is an optical imaging technique that measures concentration changes in the levels of cortical oxygenated (O 2 Hb) and deoxygenated (HHb) hemoglobin.This technique was selected because it has relatively low sensitivity to motion artifacts, imposes few constraints on body posture and therefore allows participants to be seated upright, mirroring the position of the agent [66][67][68] .fNIRS data was collected with the multi-channel, continuouswave ETG-4000 Optical Topography System (Hitachi Medical Co., Japan) at a sampling rate of 10 Hz.This unit utilizes avalanche laser diodes at two wavelengths (695 ± 20 and 830 ± 20 nm) with 4.0.2mW at each optode per wavelength 69 .Two 3 × 5 probe sets, each comprising eight light emitters and seven detectors (yielding 22 channels distributed over each hemisphere at a fixed inter-optode distance of 30 mm), were attached to either side of each participant's head in a standardized fashion according to the international 10-20 system for electrode placement 70 .The left probe set was oriented such that channels 2 and 4 were centered on T3 and F7 respectively, while the right probe set was symmetrically oriented such that channels 25 and 23 were centered on T4 and F8 respectively (refer to Fig. 3).This procedure provided consistent placement of probe sets over the bilateral IFG, bilateral DLPFC and parts of the bilateral parietal cortices across participants.The channel locations were determined via a virtual, probabilistic registration process based on the standard Colin 27 template [71][72][73][74] and their corresponding anatomical locations (Fig. 4) were estimated according to the automated anatomical labeling (AAL) atlas in the Statistical Parametric Mapping (SPM) package 75 .

Behavioral data
Participants who had proportionally more egocentric-labeled trials than altercentric-labeled trials overall were categorized into the egocentric group (n = 73), and vice versa for the altercentric group (n = 44).Trials with RTs deviating more than 3 standard deviations (SD) from a participant's overall mean were excluded from further analyses (2.17% of observations from the egocentric group, 1.52% from the altercentric group).The two groups did not differ in proportion of eliminated trials, χ 2 (1) = 1.493, p = 0.222.

fNIRS data preprocessing
The collected fNIRS data was preprocessed in MATLAB R2020a (MathWorks Inc., Natick, USA) using customized scripts as in previous studies from our group 76,77 .After the absorbed NIRS light was converted into O 2 Hb and HHb concentration changes by employing the modified Beer-Lambert law, a band-pass filter (0.001-0.2Hz) was first applied to the hemodynamic signals to remove high and low frequency noise.Next, the correlationbased signal improvement (CBSI) algorithm by Cui et al. 78 was applied to reduce low amplitude motion artifacts and other non-evoked systemic influences, whilst merging O 2 Hb and HHb into one signal to assess functional activation from both signals simultaneously 79,80 .An independent component analysis (ICA) was then performed for certain participants to filter out distinct systemic confounds such as teeth-clenching artifacts (approx.17% of sample).A principal component analysis (PCA) was performed for participants whose CBSI-corrected signal presented with too many high-amplitude teeth-clenching artifacts than recommended for removal with the ICA (approx.25% of sample) 81 .At this point, through stringent comparison of amplitude plots between preand post-component removal, signals necessitating the removal of more than 10% of components to eradicate  www.nature.com/scientificreports/striking deviance were excluded from the dataset for further analyses (two participants).After the removal of selected components in signals corrected by the ICA or PCA, individual channels whose amplitude still displayed substantial deviation from the average maxima of other channels were interpolated with neighboring channels (approx.6% of ICA-/PCA-corrected sample; average of 4 channels).Likewise, highly deviant channels in signals not previously subjected to ICA or PCA correction were also interpolated (approx.8% of sample; average of 2 channels).In our sample, no more than 9 channels at a time had to be interpolated per subject (on average 3.5 interpolations across affected subjects).48 total interpolations (of 24 out of 44 channels) were evenly distributed between the left and right probe sets, χ 2 (1) = 0.084, p = 0.772, and between the critical and noncritical ROIs, χ 2 (1) = 0.146, p = 0.910 (refer to the next section for the classification of ROIs).A second bandpass filter (0.01-0.2 Hz) was applied before a global signal reduction was performed by means of a spatial Gaussian PCA-based kernel filter 82 with a standard deviation of σ = 40.Finally, the pre-processed fNIRS signal for each participant was z-standardized for better comparison among participants before a GLM was fit.The regressor was obtained by convolving the event onsets of each of the 24 trials with the canonical hemodynamic response function (HRF) using a peak time of 6.5 s (HRFs for sensorimotor tasks peak between 5 and 10 s, with a latency lag of about 1.5 s [83][84][85][86] ).Single-channel beta values were derived per participant for further statistical analyses.

Statistical analysis
All statistical analyses of behavioral and neurophysiological data were conducted using IBM SPSS Statistics Version 25 (Armonk, NY, USA) and R 87 Version 4.0.3.For all analyses, the criterion for significance was p < 0.05.
In light of our exploratory study, reported statistical calculations including p-values and confidence intervals pertaining to cortical activation are not confirmatory and are to be interpreted with caution.Multiple comparisons are uncorrected and reported results are for descriptive purposes only with no claims for generalizability 88 .

Primary analysis
Cortical activation in the left IFG was analyzed as the critical ROI of the hMNS while cortical activation in the left and right DLPFC was analyzed as the critical ROIs of the CCN.Changes in cortical activation in these three critical and five remaining ROIs were analyzed with the single between-subjects factor perspective (egocentric versus altercentric) using separate, independent t-tests (two-tailed).RT differences between the egocentric (n = 73) and altercentric (n = 44) groups were likewise analyzed with a two-tailed independent t-test.Cohen's d values are reported as an estimate of effect size for the t-tests.

Secondary analysis
Contrary to the single responses Tversky and Hard's 1 paradigm yielded per participant, our multiple-trial paradigm revealed perspective-switching behavior between trials for one-fifth of the participants, thereby introducing complexities to group categorization.To allow for finer-grained distinctions between response strategies at the neurophysiological and behavioral levels, we added consistency (consistent versus inconsistent) as a second between-subjects factor.We anticipated that an overall consistent response pattern (e.g., applying a fixed 'rule' throughout the trials) in relation to cortical activation in the various networks would suggest an automatized processing strategy.Conversely, observed inconsistencies in the response pattern, in relation to cortical activation, would indicate a more effortful and deliberate processing strategy.Table 1 summarizes the adjusted hypotheses incorporating consistency.Participants were re-categorized into four subgroups based on the self-selecting nature of the implicit paradigm.Those who maintained the same perspective on at least 23 out of 24 trials (5% cut-off; one trial buffer) were assigned to either the egocentric-consistent (n = 64) or altercentric-consistent (n = 31) subgroups.Participants who switched between perspectives more than once (22 or lesser trials with the same perspective) were assigned to either the egocentric-inconsistent (n = 9) or altercentric-inconsistent (n = 13) subgroups.p ) values are reported as an estimate of effect size for the ANOVAs.Type III Sum of Squares was used to cater for the varying subgroup sizes by adjusting the sum of squares based on the assumption of a balanced design 89 .
RT differences among the four subgroups were likewise analyzed with a two-way ANOVA with the factors perspective and consistency.To further analyze the impact of perspective on reaction time with respect to trialby-trial perspective-switching behavior by participants in the inconsistent groups, an RT analysis was performed at the individual trial response level.Using a linear mixed-effects model, generated with the lmer function in the lme4 R package 90 and fit by a maximum likelihood technique, the between-subjects factor group (egocentricinconsistent versus altercentric-inconsistent) and within-subjects factor response (implied perspective translated from left or right responses, i.e., egocentric-response versus altercentric-response) were set as fixed effects.The random effects included intercepts for trial and a by-subject random slope for the interaction between response and subjects.Effect sizes for the linear mixed-effects model were calculated using the MuMIn R package 91,92 .They are reported in the form of a marginal R 2 m value, representing the variance explained by the fixed effects, and the conditional R 2 c value, representing variance explained by both fixed and random effects.Post-hoc pairwise comparisons were computed with a Bonferroni correction.

Exploratory analysis
To potentially bolster any effects from the primary and secondary analyses, separate two-way ANOVAs with the factors perspective and consistency on cortical activation in five additional ROIs were run (right IFG, left IPL, right IPL, left MC and right MC).All five ROIs were associated with the hMNS while three were simultaneously associated with the CCN (right IFG, left MC and right MC).
To further explore the influence of spatial abilities on potential cognitive perspective-taking strategies either driven by the hMNS or CCN, PFT scores were correlated with cortical activation in all critical and additional ROIs.Pearson correlation coefficients, r, are reported.

Sample characteristics
Participants did not differ in sex, handedness, age or spatial abilities (PFT scores) between the egocentric and altercentric groups.Similarly, there were no differences in sex, handedness, and age among the four subgroups (Table 2).However, consistent participants had significantly higher PFT scores than inconsistent participants, F(1,112) = 4.814, MSE = 3.559, p = 0.030, η 2 p = 0.041.There was neither a main effect for perspective nor any interaction between perspective and consistency for spatial abilities (both Fs < 1).

Impact of perspective-taking on cortical activation
Results from the independent t-tests showed no significant differences in cortical activation between the egocentric and altercentric groups in either the critical ROIs or exploratory ROIs (all p > 0.05; see Table 3

Impact of perspective-taking on reaction time
The independent t-test on RT revealed that participants in the altercentric group took significantly longer to respond across the trials than those in the egocentric group (t = 2.523, p = 0.014, d = 0.471; see Table 5 for RT group means).

Impact of perspective and consistency on cortical activation
None of the three two-way ANOVAs with the factors perspective (egocentric versus altercentric) and consistency (consistent versus inconsistent) on cortical activation in the three critical ROIs yielded a main effect for perspective or for consistency (all p > 0.05).However, there was a significant interaction between perspective and consistency on cortical activation in both the left IFG, F(1,113) = 3.958, MSE = 634.249,p = 0.049, η 2 p = 0.034, and left DLPFC, F(1,113) = 4.158, MSE = 1289.080,p = 0.044, η 2 p = 0.035, but not the right DLPFC, F(1,113) = 1.513,MSE = 398.006,p = 0.221, η 2 p = 0.013 (Fig. 5; see Fig. 6 for hemodynamic plots).Within the left IFG, uncorrected post-hoc pairwise comparisons showed significantly greater cortical activation for the altercentric-inconsistent subgroup than for the altercentric-consistent subgroup (p = 0.045).Cortical activation between the altercentric-inconsistent and egocentric-inconsistent subgroups were not significantly different (p = 0.060).However, within the left DLPFC, no substantial differences in cortical activation between the altercentric subgroups (p = 0.165), and between the altercentric-inconsistent and egocentric-inconsistent subgroups, were captured (p = 0.070).Table 6 reports the cortical activation means in the critical ROIs for the four subgroups.

Impact of perspective and consistency on reaction time
The two-way ANOVA on RT by perspective (egocentric versus altercentric) and consistency (consistent versus inconsistent) showed a main effect for consistency, F(1,113) = 6.405,MSE = 7,049,471.78,p = 0.013, η 2 p = 0.054, but not for perspective anymore [F(1,113) = 3.085, MSE = 3,395,276.08,p = 0.082, η 2 p = 0.027].There was no significant interaction between the two factors either (F < 1).Participants who were inconsistent in maintaining one implicit perspective throughout the trials (i.e., switched perspectives twice or more times between trials) took overall significantly longer to respond than participants who were consistent (Fig. 7).

Trial-based response and switches on reaction time
Results from the linear mixed-effects model for RTs by inconsistent participants showed that the within-subjects factor response (egocentric-response versus altercentric-response; t = 3.257, p = 0.004) but not the betweensubjects factor group (egocentric-inconsistent versus altercentric-inconsistent; t = 0.998, p = 0.327) could significantly predict the variance in RT (R 2 m = 0.038).This was qualified by a significant interaction between group and response on log RT (t = − 3.976, p = 0.001, R 2 c = 0.579; see Supplementary Table S1 for summary of output).www.nature.com/scientificreports/Post-hoc pairwise comparisons revealed that participants within the altercentric-inconsistent subgroup were significantly quicker on the altercentric responses than egocentric responses (p = 0.031; Fig. 8).

Exploratory analysis
The two-way ANOVAs showed no main effects for the factors perspective and consistency in any of the five additional exploratory ROIs (all p > 0.05).There was only a significant interaction between the factors in the left

Discussion
The present fNIRS study investigated the influence of action observation on implicit SPT by exploring whether spatial transformation strategies underlying implicit altercentric perspective-taking-associated with either an embodied or disembodied neurocognitive account-could be predicted on the basis of cortical activation.Using an adapted left-right spatial judgment task 1 that was designed to elicit unprompted perspective-taking in the presence of agentive action cues, we attempted a multi-step exploratory approach to distinguish the involvement of the hMNS and CCN (respective networks of the two accounts) in driving egocentric and altercentric perspective-taking.
In contrast to an expected 50-50% distribution of egocentric and altercentric responses, a majority of our participants (62%) implicitly selected an egocentric perspective on most trials while the remaining participants (38%) predominantly chose the altercentric perspective.This leading preference for making spatial judgments implicitly from the egocentric reference frame (no spatial transformation necessary) was reflected in significantly slower RTs from participants responding from an altercentric reference frame (spatial transformation necessary).However, as cortical activation in the altercentric group was not found to differ from that of the egocentric group in either the critical ROIs associated with the hMNS and CCN (left IFG, left DLPFC, and right DLPFC) or the remaining ROIs (right IFG, left IPL, right IPL, left MC, and right MC), these primary analyses were not adequate to differentiate between spatial transformation strategies at the neurophysiological level and thereby validate either the embodied or disembodied account.Introducing 'consistency' as an additional between-subjects factor in the secondary analyses provided some insight into the plausible involvement of the left IFG and left DLPFC during implicit SPT.Participants who predominantly selected the altercentric reference frame throughout the trials but were overall inconsistent in their decisions (altercentric-inconsistent) activated the left IFG more greatly than those who were overall consistent (altercentric-consistent). In other words, being unsure about undertaking a spatial transformation strategy, rather than sure about that selection, results in greater use of the left IFG.Although only marginally significant, cortical activation patterns suggest that being irregular about performing a spatial transformation on most trials (altercentric-inconsistent) compared to being irregular about maintaining a non-transformation strategy on most trials (egocentric-inconsistent) could lead to greater activation in the left IFG and left DLPFC (Fig. 5).In further exploratory analyses, only similar patterns of behavior by the altercentric-inconsistent subgroup as above were found in the left MC: The altercentric-inconsistent subgroup had significantly greater cortical activation than the altercentric-consistent subgroup, and marginally greater activation than the egocentric-inconsistent subgroup.Notably, there was an observed lack of significant cortical activation in the IPL.Taken together, these results seem to speak against a spontaneous and automatic processing strategy when inconsistently making implicit spatial judgments from an altercentric reference frame in our particular paradigm.Rather, they suggest effortful processing, in which inconsistency in deliberate decision-making, only in combination with perspective, might play a modulating role in the propensity for potential processing strategies.This is then potentially governed by the left IFG, left DLPFC, and left MC, which are defining areas of the CCN.
In our interpretation, the overall pattern of observations in these subgroups seems to suggest a more plausible engagement of the CCN, as opposed to the hMNS, as one of the underlying neural networks in this task.Although inconclusive, they allude support of slightly more features under the disembodied account as compared to the embodied account.We speculate that the cognitive behavior of inconsistently making spatial judgments from the altercentric reference frame involves lapses in the ability to maintain a deliberate strategy (i.e., implicit spatial perspective chosen), and thereby requires disembodied, recomputing or cognitive control strategies 30 to inhibit the interfering egocentric perspective during most trials.This mechanism is postulated to be reliant on areas of the CCN.
Subsequently, in further observing plausible effortful processing within the disembodied account at the behavioral level, RTs were elevated for the inconsistent subgroups than for the consistent subgroups, and results hinted at longer RTs for the subgroups choosing an altercentric perspective than those maintaining their own egocentric perspective.Furthermore, RT results at the individual trial level seem to be in line with the above neural trend (Fig. 8).Participants who irregularly undertook a spatial transformation for most of the trials (altercentric-inconsistent) were much slower to respond when switching to a non-transformation strategy (egocentric-response) than when deciding for a transformation strategy (altercentric-response).This may reflect a task-switching effect within this subgroup, whereby the cognitive process for selecting the 'more difficult' altercentric response involves suppressing that for an 'easier' egocentric response, leading to higher switch costs and longer reaction times for the latter.Conversely, such an effect is visibly weaker in the egocentric-inconsistent Table 8.Summary of ANOVA statistics in critical and exploratory ROIs as a function of perspective and consistency (n = 117).*p < 0.05.The correlation analysis revealed no significant relationship between PFT scores and cortical activation in any of the eight critical and additional ROIs (all p > 0.05; see Table 9  Despite not being in the original hypotheses, it was only through the post-hoc introduction of the 'consistency' factor that the hypothesized differences between the accounts became more visible in the inconsistent subgroups of participants instead of at the whole-group level.Nevertheless, these neural and behavioral observations are ultimately based on 22 inconsistent participants (13 altercentric; 9 egocentric) out of a total of 117 participants.The above interpretation is not intended to be extended to the majority (95) of participants with consistent responses (31 altercentric; 64 egocentric).It should also be reiterated that in light of the exploratory nature of the study, reported statistical calculations pertaining to cortical activation are not confirmatory and are to be interpreted with caution.Multiple comparisons were uncorrected and reported results are for descriptive purposes only with no claims of generalizability.Furthermore, given the limited spatial resolution that fNIRS offers in measuring regions beyond the cortical surface, it is possible that there might be activation in subcortical regions mitigating this finding that we are unable to rule out.
Our exploratory neural and behavioral results partially support previous studies establishing a dissociable disembodied process that SPT can occur through without the need for an embodied mental transformation of the egocentric reference frame 2,4 .For instance, by collecting self-reported strategies to analyze performance on both an own-body transformation (OBT) perspective-taking task and response-inhibition task, Gardner and colleagues 2 found that participants who took longer to change perspectives not only displayed delays in inhibiting spatially compatible responses but also reported that they adopted a left-right reversal strategy.This relationship between perspective-taking and response inhibition was absent in participants who reported employing the strategy of mentally transforming their own spatial orientation to that of the agent in the stimuli.At the neural level, our fNIRS findings allude to accounts that the lateral prefrontal cortex is key to the updating and regulation of responses, or for monitoring the initiation of inhibiting a competing response (perspective) [93][94][95] .Based on the descriptive patterns of activation in the left IFG and left DLPFC, our results hint that the inconsistent altercentric participants in our study may have relied on effortful, cognitive strategies such as re-computation of spatial relationships to select the altercentric perspective or active inhibition of the egocentric perspective 17 .The left lateralized activation in the IFG and DLPFC could also potentially speak for reliance on verbalization strategies (e.g., "Since the object is on my left, it must be on his/her right") and spatial working memory in the decision-making process to support the transposing of 'left' and 'right' between the egocentric and altercentric perspectives 96 .However, as no self-reported strategy was collected from our participants, we cannot conclusively report which of the two strategies in the disembodied route was employed.Further neurophysiological research collecting strategy use data would be useful for elucidating the interaction between the DLPFC and IFG in implicit spatial perspective-taking.
Contrary to expectations that the mere presence of an agent performing a reaching action in the scene would prompt an equal if not greater proportion of altercentric than egocentric responses 1 , having fewer participants in the altercentric group meant a less prominent differentiation of strategies at the neural level.Unlike Mazarella et al. 24 whose fMRI data evidenced greater activation in the left anterior inferior parietal sulcus (IPS), the posterior parts of the IFG, and the middle frontal gyrus (next to the premotor cortex) during altercentric perspective-taking processes, our lack of significant activation in the inferior parietal ROIs did not show support for an embodied processing route, which has been argued to underpin the link between action perception and visuospatial perspective-taking 3,4 .It is possible that participants either did not adopt the mental rotation-of-theself strategy or that the static photographed stimuli were not sufficiently salient to substantially trigger embodied processing via the hMNS.To ensure that a response from the hMNS 97,98 can be adequately evoked, further research could consider incorporating a traditional imitation task in the paradigm so that a comparison in brain activation between the SPT and imitation task can be compared and contrasted.In addition, it must be noted that Mazzarella et al. 's 24 study involved explicit instructions to take a specific perspective, whereas we were interested in the neural substrates governing implicitly-chosen (i.e.self-selected) spatial perspectives.Giving participants the freedom to adopt any perspective they saw fit allowed us to evaluate a non-manipulated 'natural perspective' .On the other hand, letting participants autonomously decide for one perspective or the other might be prone to extraneous influences such as a perceived expectation from the experimenter to answer in a specific way, mental state reasoning and social processing skills 22 .These may have implications on the underlying neural mechanisms (see Bukowski 99 for a meta-analysis).To control for such factors, future research could consider including an additional task condition where explicit instructions to take different perspectives are imposed on participants, such that these perspectives would correspond either to the same or different perspective than the one they had adopted freely in the previous condition (baseline).This way, the neural underpinnings of any cost associated with adopting a more 'unnatural perspective' may be evaluated (refer to Arnold et al. 100 for a similar design).
Our lack of evidence for the embodied route is also in contrast to studies such as Cavallo et al. 30 which demonstrated, in a series of SPT experiments involving left/right, near/far and avatar/empty chair parameters, that participants remap spatial relations in a scene in accordance with the position of another's in order to take an altercentric perspective.For instance, they found quicker egocentric judgments for objects presented nearer and to the right of participants, but comparably fast altercentric judgments for objects presented nearer and to the right of an avatar.The same RT pattern was observed when the avatar was replaced with an empty chair, but noticeably absent when neither an avatar nor an empty chair was present in the scene.By removing these affordances for perceived actions and, thus, for the potential embodied processing of spatial relations 9 , they critically demonstrated that the remapping strategy can be induced rapidly but selectively when an altercentric perspective is available to take.Their findings echo that of Tversky and Hard 1 , which showed that participants are willing to act on the more cognitively costly other-perspective as a response to subtle cues signaling a social interaction.According to Gunalp et al. 23  To that effect, the simple experimental design we adapted from Tversky and Hard 1 engaged participants in a forced-choice scenario of having to implicitly decide between an egocentric and altercentric perspective whilst online processing was being measured by fNIRS.Both the presence of another person depicted in the stimuli and the lack of explicit demand to adopt a specific perspective offered the possibility to observe if participants would be encouraged to make a free and spontaneous decision to adopt the other-perspective.One of our hypotheses was that if the underlying mechanism driving altercentric SPT is governed by embodied processing, given the potential for action in the stimuli, there would be greater cortical activation in the areas associated with the hMNS for altercentric responses.The transformation strategies undertaken would then be embodied in nature, such as a mental rotation-of-the self.However, we acknowledge that to validate the underlying workings of such an embodied mechanism, we would have had to control for the influence of other variables such as the degree and axis of an imagined egocentric rotation or of the agent's orientation (e.g., 40°/80°/120°/160°) in the experimental design, as in the studies by Mazarella et al. 24 or Kozhevikov et al. 63 .Again, if participants had consciously used the mental rotation strategy, self-reported data on strategy use would have been useful for elucidating the brain-behavior relationships in the spatial judgment (decision-making) process.These are potential avenues for further research.Together with other methods such as eye-tracking in combination with cued retrospective verbal reports 101,102 , that is the playing back of own eye-movements to elicit retrospective verbalization of strategies during the task, differentiation between the embodied (remapping 30 ) and disembodied (recomputing 30 ) strategies at the neural level could be better measured and validated.
Whilst not a main focus of this paper, significantly lower PFT scores for the inconsistent subgroups than the consistent subgroups suggest that higher spatial abilities, as represented by spatial visualization, may promote one's ability to maintain a chosen perspective during such an implicit SPT task.It is possible that this process is aided by an ability to efficiently acquire information from given pictorial visualizations 103 .Having a deeper understanding of the link between participants' spatial abilities and their selected perspective at the neurophysiological level would have helped better elucidate the cognitive mechanisms behind SPT.Unfortunately, an observed lack of correlation between PFT scores and cortical activation in the ROIs is currently uninformative.To that end, we acknowledge that measuring spatial ability on the PFT alone may not be a sufficient measure for general spatial abilities which encompasses other factors apart from spatial visualization 104,105 .Furthermore, recent research has shown that the PFT does not measure spatial visualization exclusively but also reveals variation in strategies to paper-folding problems 106 .Hence, future work digging deeper into the role of spatial ability on perspectivetaking should use a revised version of the PFT and also take into account a variety of tests to measure other aspects of spatial abilities.On a related note, sex differences have been documented to influence SPT ability but these differences may be dependent on social factors such as empathy rather than spatial abilities 107 .For example, although men are better at spatial-orientation and navigation tests, women are often seen as better empathizers than men 108 which aid their ability to take the perspective of others in a social context (i.e., when they are told to take the perspective of a human figure) 107 .In light of this, despite having a majority of females among our participants, we did not detect any sex differences in performance among the four subgroups.
To the best of our knowledge, our study is the first to attempt employing fNIRS to predict the neural bases governing implicit altercentric SPT on the basis of cortical activation.By instructing participants to respond to queries strictly about the spatial relations between depicted objects, without any explicit instructions to adopt either an egocentric or altercentric reference frame, our exploratory post-hoc analyses allowed us to uncover inconsistency as a possibly modulating aspect of implicit altercentric spatial perspective-taking.The inconsistency dimension, and its interplay with perspective, sheds light on irregularity in the commitment to maintain a selected perspective as a potentially influencing factor in the effortful spatial transformation process.This is alluded to by greater neural activation in selective critical network regions belonging to the CCN and subsequently, a slower speed of decision-making (especially at the trial level).The current results of our hypotheses testing, whilst largely descriptive and partially conclusive, opens up the possibility for more confirmatory future research taking into account the following limitations.Paradigm trials-as prior studies show that perspective choices in the context of social interaction sometimes take longer to be worked out 109 , a greater number of trials (e.g. at least two repetitions of each trial) in the paradigm would provide a buffer for any mistakes and better allow for the distinguishing between deliberate and accidental switches.The 24 trials might have been too few to reliably categorize the participants into more homogenous groups and thus might explain why some of the differences in brain activation in the ROIs were only marginally significant.Sample size-the implicit nature of the paradigm encompasses a self-selecting element which increases the risk of group size variation and affects statistical power.Similar to the point above, increasing the sample size would increase the odds of a balanced group design for more reliable comparisons.Instructions-as aforementioned, including a condition with explicit instructions to take the egocentric or altercentric perspective would minimize the influence of unwanted extraneous factors and allow for a truer baseline measurement of spontaneous perspective-taking.Strategy useas aforementioned, collecting self-reported post-experiment strategy use would be helpful for supplementing measured neurophysiological and behavior data, and elucidating the brain-behavior relationship.fNIRS spatial resolution-fNIRS is limited in its spatial resolution and restricts measurement to areas on the cortical surface (~ 1-2 cm).As such, activity in potentially crucial subcortical areas like the limbic system, orbitofrontal cortex and cingulate cortex cannot be measured and smaller areas of activation might be overlooked 110 .Although the

Figure 1 .
Figure 1.Examples of experimental stimuli.(a) The scene depicts a male agent reaching for a book, placed next to a bottle, with his right hand.(b) The scene depicts a female agent reaching for a plate, placed next to a glass, with her left hand.[Images in figure are licensed under CC BY 4.0].

Figure 2 .
Figure 2. Illustration of trial presentation sequence including the inter trial interval.[Image in figure is licensed under CC BY 4.0].

Figure 4 .
Figure 4. Channel assignments for defined regions of interest in left and right hemisphere probe sets.
Human mirror neuron system (hMNS) Cognitive control network (CCN) Possible transformation strategies Mental self-rotation; motor simulation of observed action from altercentric perspective Inhibition of interference from egocentric perspective; spatial transposing of left/right Regions of interest § Critical Left IFG § , right IFG, left IPL, right IPL, left MC, right MC Left DLPFC § , right DLPFC § , left IFG, right IFG, left MC, right MC Expected patterns of cortical activation in ROIs https://doi.org/10.1038/s41598-023-46205-wwww.nature.com/scientificreports/Cortical activation in the three critical ROIs were analyzed with separate two-way Analyses of Variance (ANOVAs) in a 2 × 2 factorial design with the between-subjects factors perspective (egocentric versus altercentric) and consistency (consistent versus inconsistent).All homogeneity of variance assumptions were met.Partial eta squared (η 2

Figure 6 .
Figure 6.Event related averaged hemodynamic time course plots for the subgroups in (a) Left IFG, (b) Left DLPFC, and (c) Right DLPFC.

Figure 7 .
Figure 7. Mean reaction time as a function of perspective and consistency in subgroups.Error bars represent standard errors.

Figure 8 .
Figure 8. Mean reaction time as a function of group and response in inconsistent subgroups.Error bars represent standard errors.

Figure 10 .Table 7 .
Figure 10.Event related averaged hemodynamic time course plots for the subgroups in (a) Left IPL, (b) Right IPL, (c) Left MC, (d) Right MC, and (e) Right IFG.

Table 1 .
Comparison of strategies and ROIs between embodied and disembodied accounts.C consistent, IC inconsistent, ROI region of interest.

Table 2 .
Descriptive statistics of participant subgroups.PFT paper folding test.Standard deviations of means for age and PFT score in parentheses.

Table 3 .
Mean cortical activation (in beta values) in critical and exploratory ROIs as a function of perspective.Standard deviations of means in parentheses.

Table 4 .
Summary of t-test statistics in critical and exploratory ROIs as a function of perspective.CI confidence interval.

Table 5 .
Mean reaction time as a function of perspective.Standard deviations of means in parentheses.

Table 7
reports the cortical activation means in the exploratory ROIs and Table8presents the ANOVA statistics in all critical and exploratory ROIs.

Table 6 .
Mean cortical activation (in beta values) in critical ROIs as a function of perspective and consistency.Standard deviations of means in parentheses.

Table 9 .
for correlation matrix of variables).Pearson correlation coefficients (r) for the relation of PFT score and cortical activation in ROIs (n = 117)., since selecting the easier predominant response should not necessitate suppression of the cognitive process for a more difficult altercentric response. subgroup 62different stimuli convey to the viewer different cues (e.g., social, directional, interactive) which can evoke individual differences during perspective-taking, especially in spatial orientation tests62.Human figures serve as social cues with agency and directionality (either front-facing or back-facing) as compared to symbolic objects such as arrows or chairs which have directionality but no agency.These cues are especially pertinent to strategy use in SPT, and potential engagement with an agentive social cue is more likely to elicit embodied strategies, such as bodily transformation, to complete tasks.Investigating SPT using inanimate objects with artificial agency in combination with fNIRS (e.g., front-facing human agent pointing versus frontfacing physical object 'pointing') would be an interesting control condition for further research, to potentially single out the neural correlates of agency in the context of embodiment.