This section presents an analysis of the results obtained for the relationships between the subjective variables related to the effects of noise on pedestrians and the acoustic variables. It is divided into three subsections, based on the different types of acoustic variables involved in the study.
3.1. Acoustic Variables Associated with Sound Energy over the Whole Audible Spectrum
In this section, an analysis is conducted of the explanatory capacity of the acoustic variables that essentially measure sound energy over the whole audible spectrum using different adaptation levels to the response of the human ear (
Table 3). According to the way in which these indicators consider the human response in the frequency spectrum, they can be grouped into two blocks. The first are those that have an adaptation independent of sound intensity (equivalent levels), while the second are those in which this adaptation depends on the sound energy. This second group of variables can be further divided into two types: those that consider masking effects (loudness and loudness level), and those that do not (NR, NC, and NCB). From
Table 3, it can be seen that all the acoustic variables associated with sound energy over the whole audible spectrum can explain, with significant relations, the occurrence and intensity of all the effects of noise on pedestrians considered in this study.
From a general analysis of
Table 3, several points can be noted. It can be seen that the sound variables in the first group (L
Zeq, L
Aeq, L
Ceq, L
AIeq, L
CIeq) are better able to explain the variability in the effects of noise on pedestrians than those in the second group (loudness, loudness level, NR, NC, NCB), or at least in an equivalent way. From the variables in the first group, for almost all of the subjective variables, L
Zeq or L
Ceq are better than or similar to L
Aeq in terms of explaining the variability in the effects analysed here. Even some of the effects of noise that could be considered in a classic study, such as startle (b), annoyance in the ears (c), and an assessment of the street as noisy (h), the commonly used L
Aeq indicator is poor in explaining the variability of these three subjective variables and is clearly worse than L
Zeq. Moreover, the I time weighting, which was used for the L
AIeq and L
CIeq indicators, had no significant influence on the values of the correlation coefficients for any of the effects studied. In relation to the second group, which relates to different adaptations depending on the sound level, it can firstly be observed that the loudness level or NCB are better than or equivalent to the other three variables (loudness, NR, and NC) in terms of explaining the variability in the effects. Loudness is an indicator that was specifically developed to allow a good relationship with the perception of sound level, and this can be seen to be rather worse than L
Zeq for the effects of startle (b); annoyance in the ears (c), and in particular (as it is closely related to the objective of this variable), a perception of the street as noisy (h). However, when the values of annoyance (i) were analysed, the results were more as expected. It should also be highlighted that, in general, none of the energy indicators studied here were very effective in explaining the appearance or variability of the effects related to face-to-face or telephone communication, although loudness and loudness level had the highest correlation coefficients in regard to interrupting a phone conversation (f) and raising the volume of their voice on a phone conversation (g), respectively. In this sense, it is worth noting that the difference found for the effect of raising the volume of their voice in a conversation with a nearby person (e) if we compare with the results with the rest of the effects related to verbal communication, (d), (f), and (g), for all the energy indicators except NR and NC. Moreover, for the remaining effects, NR and NC seemed to play a weaker role in explaining the variability of all the subjective variables apart from annoyance (i) and irritability (a). In view of these results, it may be useful to take into account indicators such as NR, NC, and NCB in noise characterisation studies in urban outdoor environments, regardless of whether they are generally used indoors. The outcome for the NCB indicator is of particular interest; it was better than or similar to the others, even when compared to the loudness and loudness level, which are rather more complex indices to obtain, since they take into account in greater detail the way in which humans perceive sounds.
After describing the general aspects listed in
Table 3, a detailed analysis was conducted of the implications of these results. Firstly, it is important to point out that the average energy of the sound wave over the full spectrum is a relevant sound characteristic for estimating the occurrence and importance of effects such as irritability (a), startle (b), raising the volume of the conversation in situ (e), the noisy street (h), and annoyance (i), with Pearson correlation coefficients of between 0.70 and 0.81. The highest values for the explanation of variability were obtained for annoyance, and this has a certain uniformity for all the acoustic variables analysed in this section.
In relation to conversations, some differences were found between the variables of raising the volume of the conversation in situ (e) and on the phone (g). When a conversation is held in person, the average energy over the full spectrum is a relevant aspect, and the indicators that do not include weights for low frequencies, such as LZeq or LCeq, seem to explain a higher proportion of the variability than those that do, such as LAeq. On the other hand, if a conversation is held on the phone, the average energy in the full spectrum is less useful, and the medium–high frequency seems to be more important in explaining the variability than the low frequency. When the results for in situ (d) and phone (f) conversation interruption are studied, the in-situ effect is explained to a greater extent. Since all of the acoustic variables have basically the same explanatory power for this effect of noise, this means that high, medium, or low frequencies all seem to have a similar impact.
It is worth noting the result obtained for the loudness indicator, which, in addition to a variable frequency correction depending on the intensity of the sound, takes into account an exponential expression based on the loudness level and the masking effect of some frequencies on others, since it does not seem to be important in the estimation of the relevance of the effects that may be caused by environmental noise. Raising the volume of a telephone conversation (g) is the only effect for which the correlation coefficient for loudness is higher than for the other acoustic indicators of this section. When compared with the values found for LZeq, for example, the loudness results are especially poor for annoyance in the ears (c), with values similar to those obtained for NR and NC. It is important to note that for the variable of annoyance (i), the loudness level and NCB are better indicators than the others with frequency-varying corrections for intensity, including loudness.
As can be observed from
Table S1 of the
Supplementary Materials, all of the subjective variables were positively correlated with the objective acoustic variables associated with sound energy over the whole audible spectrum, with slope values ranging between 0.13 and 0.35. In general, the highest slope values were found for the relationships between the variables of irritability (a), raising the volume of the conversation (e), interrupting a phone conversation (f), raising the volume of a phone conversation (g), a noisy street (h), and annoyance (i), and the sound indicators L
Zeq, L
Ceq, and L
CIeq. The results show that a variation of 3 dB in these acoustic variables represents a variation of approximately one point on the 0–10 rating scale for the variables associated with the perception of noise effects.
3.2. Acoustic Variables Associated with Maximum or Minimum Values of Sound Energy
An analysis is presented in this section of the explanatory capacity of acoustic variables that basically measure the maximum and minimum values of the sound energy over the whole audible spectrum and the measurement time, with certain spectral adaptations (A, C) to the response of the human ear, certain temporal considerations with regard to the signal treatment (F, S, I), and also taking into account the signal without temporal treatment (peak).
Table 4 shows the correlation coefficients and the levels of significance obtained for the linear relations between the subjective variables and the acoustic variables related to the maximum values of the sound energy.
The first observation that can be made from the group of indicators related to the maximum values of the sound energy, compared to those analysed in the previous section, is that there is a significant loss in their capacity to explain the appearance and intensity of the noise effects analysed. In particular, it is remarkable that the maximum levels have little or no capacity to explain effects such as annoyance in the ears (c) and interruption of a phone conversation (f). This is even unexpected given that effects such as startle (b) or annoyance in the ears (c) could be expected to be explained by the maximum values. Hence, at least for the sound level ranges measured here (see
Table 2), the maximum levels are not good estimators of the analysed noise effects.
Despite this, it may be of interest to highlight that an increase in the value of the correlation coefficient is observed for all noise effects when moving from an S weighting to F and I weightings for medium and high frequencies (A weighting). This does not occur for the C-weighted sound indicator columns. This effect may be related to the stronger influence of low frequencies on the value of the indicator when the C weighting is used, and to the fact that a smaller influence from the time weighting is to be expected for longer wavelengths of the sound.
Once the findings related to the maximum values have been analysed,
Table 5 shows the correlation coefficients and the levels of significance obtained for the linear relations between the subjective variables and the acoustic variables related to the minimum values of the sound energy. From a first approximation, it can be seen that the indicators of the minimum sound levels analysed here explain a greater proportion of the variability in the noise effects than the indicators of maximum energy. In the case of some of the effects analysed, they are even better in terms of explaining the variability (b, c) or are equivalent (f) to the average energy indicators; this may be an unexpected result, and to the best of the authors’ knowledge, has not been reported previously. The result for effect (c) is particularly remarkable, with a significant increase in the value of the correlation coefficient with respect to that obtained with the average sound energy indicators.
From an overall analysis of this type of indicator in terms of frequency and time weightings, it can be seen that the indicators of minimum values that take into account low frequencies (C weighting) can explain a higher proportion of the variability than those with an A weighting. It should be noted that, so far, the relevance of a low frequency was clear for only three of the effects. For the minimum energy sound indicators, it seems that for all the effects, the C weighting gives better results than the A weighting. These results may indicate that, for some of the effects studied here, both the average and minimum energies may help to explain the appearance or importance of an effect.
Similar behaviour is observed for all in the case of time weightings, although an F weighting achieves the best results. It should be pointed out that for some effects, and mainly those associated with conversation, the I weighting differs more significantly from the F weighting. Finally, it should be noted that, unlike the indicators in the previous section, the least amount of explanation of variability is obtained for annoyance (i). It therefore appears that this effect is most specifically related to the average energy. As is shown in the previous section, this may be the reason why the indicators currently used to measure the effects of environmental noise are mainly based on average energy values. In addition, the results for the A weighting for this effect justify the continued use of this weighting to some extent, even though it is not optimal for other effects, according to the results found in this research.
From
Table S1 of the
Supplementary Materials, it can be seen that all subjective variables are correlated with the indicators associated with the maximum or minimum values of sound energy, with slope values ranging between 0.07 and 0.29. However, the highest slope values are seen for the indicators of the minimum sound levels. In general, a variation in these minimum energy indicators of between 3.5 and 5 dB corresponds to a variation of approximately one point on the 0–10 rating scale for all subjective variables.