$$\rightleftharpoonup{xx}$$
$$\longleftharp{xx}$$,
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Results for speech production
In this section, we described the performance of the statistically significant prosodic-acoustic features and rhythm metrics. Such prosodic features were speech, articulation, and pause rates, which are related to duration, and shimmer, which is related to voice quality. The rhythm metrics were standard deviation (SD) of syllable duration, SD of consonant, SD of vocalic or consonantal duration, and the variation coefficient of syllable duration (see the Supplemental Table S1).
The Speech rate (Figure 6A) decreases more rapidly for L1-L2 English than for L1-L2 BP, although the rate is lower for both L2s. The Speech rate is related to three metrics - SD of syllable duration (SD-S), SD of vowels (SD-V), and the syllabic variation coefficient (Varco-S). It is also important to keep in mind that both AmE-S, and Bra-S group are proficient in their L2s. It seems that such rate is affected by the higher values of syllable duration and the lower variability produced by L1-L2 BP, causing less-steeped slopes.
The Articulation rate (Figure 6D) is related to SD-S, Varco-S, as well as the Syllabic Rhythm Ratio (RR-S); the latter represents the ratio between shorter and longer syllables. Such metrics seem to affect the Articulation rate just like the affected Speech rate due to sentence length and variation in duration leading to higher L2 speech planning, and L2 cognitive load9,23,54. A higher cognitive-linguistic load may be required in the sentence length domain in a way that prosodic-acoustic parameters are affected55.
Regarding the prosodic-acoustic features of Speech and Articulation rates, our findings suggest that the more a speaker varies the duration of syllables (and vowels), the lower such rates. We hypothesize that the speech perception of both L1 and L2 BP sounds somewhat slower than L1 and L2-English, and that L1-English sounds faster than all other language levels. This fact might be linked to speech rhythm and the hypothesis that while L1-L2 BP leans toward the syllable-timed pole of the rhythm continuum, L1-L2 English moves toward the stress-timed pole21,22.
The Local shimmer, Figure 6B, is influenced by SD-S and Varco-S. For the Local shimmer, both productions of Bra-S, L1-BP, and L2-English present a somewhat monotonic trajectory as variability of syllable duration increases (SD and Varco, see Supplemental Table S1). The perception of vocal effort might be apparent when listening to the productions of Bra-S due to a low variation that ranges between 8.5 and 9 dB. Bra-S speech is affected by vocal load. L1-BP is highly affected by sentence length being less sensitive to high variations of syllable duration (BP rhythmic pattern shows less syllabic variation22,56).
The Pause rate (Figure 6C) shows that L2-English speakers produce longer pauses (from 200 ms to 375 ms) than the L1-English, L1-BP, and L2-BP ones (mean of 30 ms for L1-English, 50 ms for L1-BP, and 100 ms for L2-BP). Speech planning, in this case, might have affected L2-English production due to increased brain activity54,57. It is expected that higher language proficiency would result in a greater reading speed and span54; nevertheless, even for L2 proficient speakers, reading tasks presented more effort in higher-order cognitive aspects of foreign speech and in language processing54,57. Our findings show, at least on a preliminary basis, that L2-BP speakers may be less affected by pauses than L2-English due to differences in the rhythmic pattern of both languages.

Figure 6: Generalized Additive Models for the prosodic-acoustic features. On the Y-axis, the response variable (the acoustic features to be modeled); on the X-axis, the predictor variables (the factor 'Language' and the covariates in the additive models that will provide the shape and the trajectories of the curves (i.e., the smoothing effects: 'Language + covariates'), and the product of the 'Language' and a metric feature that will provide a more accurate projection of the response variable (i.e., factor-smooth interactions: 'covariate:Language'). Abbreviation: GAMs = Generalized Additive Models. Please click here to view a larger version of this figure.
In relation to the rhythm metrics, for SD-S (Figure 7A), our findings reveal that the more a speaker varies the f0 curve and increases the speech rate, the more SD-S decreases for all the language levels (a mirror effect of Figure 6A). In the case of the SD for consonants (SD-C, Figure 7C), L1-BP, contrary to L1 English, performs low variation as Speech rate or Pause duration increases. Such SD direction is predicted since L1-English variability of syllable duration is (statistically) significantly higher than L1-BP44,58. The Varco-S (Figure 7B and Supplemental Table S1) seems somewhat correlated to the L1 and the L2 of the same language group. As the f0 variability and Speech rate increase, the Varco-S decreases for the L1-BP and seems to decrease and attenuate for L2-BP. For the English productions, while f0 variability and Speech rate increase, Varco-S increases and attenuates for L1-English and L2-English.
Regarding the SD for vowels or consonants (SD-V_C, Figure 7D and Supplemental Table S1), our results show some similarities with the Varco-S performance (Figure 7B). For instance, higher Speech rate, Pause duration, and f0 variability promote a fall-rise trajectory of the SD-V_C for L1-BP, and for the L2-BP. In English productions, while such prosodic features are higher, SD-V_C slightly decreases, attenuates for L1-English, slightly increases, and then attenuates for L2-English. The Varco-S and the SD-V_C correlation to the L1-L2 of the same language groups may be partially explained by the Lombard Effect, which refers to the alteration of acoustic parameters in speech due to background noise59.
In foreign speech, depending on the complexity of the task (e.g., read speech), speakers have used similar acoustic strategies on both L1 and L259,60. On the one hand, Marcoux and Ernestus found that f0 measures (range and median) in L2 Lombard speech suggest that L2 English speakers were influenced by their L1 Dutch61,62. On the other hand, more recent findings propose that although L2 Lombard speech is expected to differ from L1 Lombard speech due to the higher cognitive load when speaking the L2, L2 English speakers produced Lombard speech in the same direction as the L1 English speakers63. The extent to which our findings are aligned with Marcoux and Ernestus63 and diverge from Waaning59, Villegas et al.60, and Marcoux and Ernestus61,62 needs further investigation.

Figure 7: Generalized Additive Models for the metric features. On the Y-axis, the response variable (the metric features to be modeled); on the X-axis, the predictor variables (the factor 'Language' and the covariates in the additive models that will provide the shape and the trajectories of the curves (i.e., the smoothing effects: 'Language + covariates'), and the product of the 'Language' and a metric feature that will provide a more accurate projection of the response variable (i.e., factor-smooth interactions: 'covariate:Language'). Abbreviation: GAMs = Generalized Additive Models. Please click here to view a larger version of this figure.
Results for speech perception
In relation to the BP voice lineups, in lineup #1 (Figure 8A), the foil voice #3 was judged as being the target voice. In fact, the target voice was the voice #4. Results show no statistically significant difference (see Supplemental Table S1) between the foil #3 (83%) and the target voice #4 (71%). In lineup #2 (Figure 8B), a comparison between the target voice #3 (40%) and the foil #4 (20%) also showed no statistically significant difference (see Supplemental Table S1) for the English voice lineups. In lineup #1 (Figure 9A), there was no significant difference (see Supplemental Table S1) between the foil #2 (26%) and the target voice #4 (54%).
In the analysis of voice similarity, both the Cosine similarity (CoSim) and the Euclidean distance (EucDist, [EucDist transformed]54) showed a consistent correlation between foil #3 and the target for the BP lineup #1 (CoSim = 0.99; EucDist = 77.4, [0.93]). Correlation between foil #4 and the target was similarly strong in the BP lineup #2 (CoSim = 0.99, EucDist = 76.3, [0.93]). In the English lineup #1, correlation was consistent for CoSim (0.83(, but weak-to-satisfactory for EucDist (213.0, [0.47]. Overall, both CoSim and EucDist were satisfactory techniques in determining voice similarity. In addition, CoSim performed slightly more effectively, as addressed by Gahman and Elangovan52(see Supplemental Table S1).
In terms of similarity, what could have led to an increase in false alarms? Prosodic-acoustic features showed evidence that, although foils and target voices performed (statistically) significantly differently-with an exception for the lineups presented in Figure 8A,B and Figure 9A-listeners' choices somewhat diversified along different foils in the other lineups (Figure 8C,D, and Figure 9B-D). Such judgment seems to depend more on one (or maybe more) specific acoustic feature that speakers share than a whole class of prosodic-acoustic features. For instance, our study presented several features (co)varying between productions; nevertheless, perceptual results show the judgments' preferences for a specific foil to match the target voice8,35,64,65. Further analyses are necessary in future work.
It is noteworthy to consider the choice for a multidimensional parametric matrix for acoustic similarity66 as the one presented in this study. Our findings are aligned with previous studies that used acoustic features based on f0, VQ, and intensity9,35. Such features are remarkably suggested for speaker comparison tasks in the forensic field9,66. It is nevertheless important to highlight that in the present research, none of the foils were predicted to be similar to the target voice, although we have used a variant of McFarlane's guidelines16,17 in the preparation of the voice lineups for foreign-accented speaker recognition. Furthermore, we must emphasize that our voice lineup procedure contains important differences from McFarlane's guidelines, including stimulus length, number of voices, selection of foils (randomized here), and speech style.
To what extent prosodic-acoustic features of f0, voice quality, and intensity seem to be related to listeners' perception would highly depend on the speaking style used in the research. Here, we used reading passages. The majority of earwitness studies opt for (semi-) spontaneous stimuli as a balanced solution-e.g., the DyVis corpus67-which has been extensively employed in contemporary earwitness investigations28,68. The reason that led us to choose the reading tasks is that our corpus, at the time of the composition of this manuscript, consisted exclusively of data obtained from reading tasks. It is, however, important to acknowledge that the process of compiling a (semi-) spontaneous corpus is already in progress. Furthermore, the act of reading a story can generate a dependable level of uniformity and variation, both intra-speaker and inter-speaker. This facilitates the emphasis on prosodic or phonetic characteristics-individual or dialectal-in situations involving voice comparison. This becomes especially noticeable in instances of vocal load during the production of a foreign accent, even among proficient speakers 8,9,23,54.

Figure 8: Bar plots containing the results for the four lineups carried out by the Brazilian listeners. (A,B) Non-significant difference between the target voice (in blue) and a foil (in light blue). (C,D) significant differences from the foils, and the target voice. Abbreviation: NS = non-significant. Please click here to view a larger version of this figure.

Figure 9: Bar plots containing the results for the four lineups carried out by the American listeners. (A) Non-significant difference between the target voice (in red) and a foil (in pink). (B,C,D) Significant differences from the foils and the target voice. Abbreviation: NS = non-significant. Please click here to view a larger version of this figure.
Supplementary Table S1: Speech production statistics - Generalized Additive Models (GAMs): The F-statistics (degrees of freedom), the adjusted R2 of each statistically significant prosodic-acoustic feature (Figure 6), and rhythm metric (Figure 7) per Language level, as well as the individual values of each smooth term (the covariates). Speech perception statistics: The Kruskall-Wallis χ2 statistics (degrees of freedom), the p-values, and the adjusted η2, as well as a post-hoc Dunn's test for pairwise comparison (Figure 8 and Figure 9) of each statistically non-significant difference between the pairs of target-foil voices (Figure 8A,B and Figure 9A). Acoustic similarity matrices for Cosine and Euclidean distance of each lineup. Please click here to view a larger version of this figure.