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Visualizing sound: counting wolves by using a
spectral view of the chorus howling
Passilongo et al.
Passilongo et al. Frontiers in Zoology (2015) 12:22
DOI 10.1186/s12983-015-0114-0
Content courtesy of Springer Nature, terms of use apply. Rights reserved.
M E T H O D O L O G Y Open Access
Visualizing sound: counting wolves by
using a spectral view of the chorus howling
Daniela Passilongo
1*
, Luca Mattioli
2
, Elena Bassi
1
, László Szabó
3
and Marco Apollonio
1
Abstract
Introduction: Monitoring large carnivores is a central issue in conservation biology. The wolf (Canis lupus) is the
most studied large carnivore in the world. After a massive decline and several local extinctions, mostly due to direct
persecutions, wolves are now recolonizing many areas of their historical natural range. One of the main monitoring
techniques is the howling survey, which is based on the wolves’tendency to use vocalisations to mark territory
ownership in response to howls of unknown individuals. In most cases wolf howling sessions are useful for the
localisation of the pack, but they provide only an aural estimation of the chorus size.
We tested and present a new bioacoustic approach to estimate chorus size by recording wolves’replies and
visualising choruses through spectrograms and spectral envelopes. To test the methodology, we compared: a) the
values detected by visual inspections with the true chorus size to test for accuracy; b) the bioacoustic estimations
of a sample of free-ranging wolves’replies developed by different operators to test for precision of the method;
c) the aural field estimation of chorus size of a sample of free-ranging wolves’replies with the sonogram analysis of
the same recordings to test for difference between methods.
Results: Visual inspection of the chorus by spectrogram and spectrum proved to be useful in determining the
number of concurrent voices in a wolf chorus. Estimations of chorus size were highly correlated with the number
of wolves counted in a pack, and 92 % of 29 known chorus sizes were recognized by means of bioacoustic analysis.
On the basis of spectrographic evidence, it was also possible to identify up to seven concurrent vocalisations in a
chorus of nine wolves. Spectral analysis of 37 free ranging wolves’replies showed a high correlation between the
chorus size estimations of the different operators (92.8 %), but a low correlation with the aural estimation (59.2 %).
Conclusions: Wolf howling monitoring technique could be improved by recording wolves’replies and by using
bioacoustic tools such as spectrograms and spectral envelopes to determine the size of the wolf chorus. Compared
with other monitoring techniques (i.e., genetic analysis), bioacoustic analysis requires widely available informatic
tools (i.e., sound recording set of devices and sound analysis software) and a low budget. Information obtained by
means of chorus analysis can also be combined with that provided by other techniques.
Moreover, howls can be recorded and stored in audio file format with a good resolution (i.e. in “Wave”format), thus
representing a useful tool for future listening and investigations, which can be countlessly employed without risks
of time deterioration.
* Correspondence: dpassilongo@uniss.it
1
Department of Science for Nature and Environmental Resources, University
of Sassari, via Muroni 25, I-07100 Sassari, Italy
Full list of author information is available at the end of the article
© 2015 Passilongo et al. Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0
International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and
reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to
the Creative Commons license, and indicate if changes were made. The Creative Commons Public Domain Dedication waiver
(http://creativecommons.org/publicdomain/zero/1.0/) applies to the data made available in this article, unless otherwise stated.
Passilongo et al. Frontiers in Zoology (2015) 12:22
DOI 10.1186/s12983-015-0114-0
Content courtesy of Springer Nature, terms of use apply. Rights reserved.
Introduction
Monitoring and managing the recovery of large wide-
ranging mammalian carnivores are major issues for both
conservation biologists and wildlife managers [1]. In the
light of the continuous habitat loss and direct persecu-
tion of these species, large carnivores conservation has
become a pressing need [2]. Often described as “charis-
matic species”[3], these carnivores actually have a high
ecological [2, 4], economic and social impact [3, 5–7]
and, therefore, an in-depth knowledge of their ecology
and behaviour is highly desirable for the development of
an effective conservation strategy.
At the beginning of the 1990s, after a massive decline
caused by centuries of direct persecution, deforestation
and overhunting of its natural prey [8, 9], the wolf
(Canis lupus), became almost extinct in Western Eur-
ope, United States and Mexico [4]. At the present,
thanks to legal protection and socio-economic changes
in Europe, as the improvement in habitat quality and the
presence of large populations of wild ungulates [10]; the
relocation effort [11] and areas with vast public lands
[12] in US, wolves have reoccupied 67 % of their histor-
ical range worldwide [4]; in this context, monitoring
wolf population is a crucial issue for wolf conservation
efforts.
One of the main wolf monitoring tools is the howling
survey [13]: given the tendency of resident wolves to re-
spond to extraneous vocal stimuli in order to defend the
resources in their territories and to avoid encounter with
neighbour packs, this approach consists in the acoustic
stimulation produced through human simulation or
playback of actual wolf howls [14–16]. This method was
employed in several studies for monitoring and census-
ing wolf packs [15, 17–19] and other species with similar
vocal behaviour [20, 21]. However, in most cases, suc-
cessful field wolf howling sessions end with the pack lo-
calisation and an aural estimation of chorus size, and
only few attempts to determine chorus size through
complex sound and statistical analysis have been made
[22–26]. In this regard, several studies have already
found both individual [26–28] and group vocal signature
[29] by using spectrographic analysis, thus emphasising
the high potential of bioacoustic tools to improve the
knowledge on this species. Nevertheless, no study has
yet used available bioacoustic softwares and visual spec-
trographic inspection of the howling to estimate chorus
size.
In most cases chorus size is estimated aurally, by
counting each individual as it joins the chorus [15, 30].
However, precise estimation of the number of wolves is
difficult with this method because only the first two or
three wolves enter in the chorus as a staggered basis
followed by the rest of the pack en masse [15]. More-
over, the packs often reply before the end of the
stimulus, and, in particular, packs with more adults tend
to reply more quickly [15, 22, 30]. Additionally, since
subordinate adults’and pups’howls consist in a rapid
frequency modulation, they add complexity to the
chorus and even experts may encounter difficulties in
counting them (see [15]). Counting ability in humans
has been tested also in the case of human voices [31]
and music instruments [32]. In both cases, human aural
perception generally failed to count more than three
concurrent sources, however, during the test on the de-
numerability of music instruments, musicians performed
about 20 % better than non-musicians [32], thus
highlighting the variability level associated to individual
background and expertise. Consistent with these find-
ings, studies on the aural denumerability of chorus size
also recognised about 3 wolves [15, 22].
For this reason, researchers conservatively set a fixed
pack size to their data collected through howling survey
(see [33, 34]), and, if possible, determine the pack size
and the aggregation rate of the packs of their target pop-
ulations using other, often more expensive and time-
consuming techniques (genetic: [34, 35], tracks: [33],
VHF/GPS collars: [36, 37]; camera traps: [38]). Since
during the reply some individuals of the pack could stay
silent [16] or be temporarily absent [37], chorus size
does not necessarily correspond to the actual pack size;
even so, chorus size can be used as a proxy of the mini-
mum pack size. As for wolves, the pack is the basic so-
cial unit [39] and pack size is correlated with several
ecological traits such as hunting efficiency and prey se-
lection [40, 41], pack size estimation is a key-issue for
wolf monitoring, research, and conservation purposes.
In this paper, we present a bioacoustic approach based
on the visual inspection of the sound to estimate chorus
size of the pack. We validated the method by evaluating
both its accuracy (comparison of the chorus size esti-
mated through the method with the real chorus size)
and its precision (comparison of the chorus size esti-
mated through the method by two operators) The effi-
ciency of the method was then proved by comparing the
chorus size estimated through visual inspections with
the estimation of the chorus size based on an aural
estimation.
Therefore, the aim of this study was to test the bene-
fits of using bioacoustic analysis to estimate wolf chorus
size by recording and analysing wolves’choruses during
the wolf howling monitoring sessions, thus highlighting
a further connection between behavioural and conserva-
tion issues.
Results and discussion
Accuracy of the method
Visual estimation by spectrogram and spectrum pro-
vided an accurate evaluation of the chorus size as a
Passilongo et al. Frontiers in Zoology (2015) 12:22 Page 2 of 9
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strong positive correlation was found between real and
estimated values in both our tests of known chorus size
(Human simulated howling, HSH: n= 20, Spearman’s
rho = 0.90, p< 0.0001; and Wolf downloaded howling,
WDH: n= 9, Spearman’s rho = 0.97, p< 0.0001), (Fig. 1)
with no difference between real and estimated means
(Wilcoxon signed rank test, HSH: n= 20, Z= 2.12, p=
0.057; WDH: n=9, Z= 1.13, p= 0.501). The most com-
mon error was the underestimation (false negative) for
one individual (five and two cases in HSH and WDH),
followed by the underestimation of two individuals (two
and one cases) (Fig. 1). Overestimation (false positive)
occurred twice, with four concurrent voices estimated in
a chorus size of three (in HSH) and six concurrent calls
estimated in a chorus of five individuals (in WDH)
(Fig. 1). Choruses composed by two individuals were al-
ways correctly estimated and it was even possible to rec-
ognise up to six different voices in a chorus of eight
contemporaneous voices (in HSH test) and up to seven
different voices in a chorus of nine elements (in WDH
test). In the two cases of overestimation, the detection of
the “phantom voice”was probably due to the misinter-
pretation of a mix of non-linear (deterministic chaos,
subharmonics) [42, 43] and environmental phenomena
(reverberation, echoes) [44]. In fact, while harmonic
overtones were easily recognised because of their shape
(the same as F0) and frequencies (integer multiple of F0)
(Fig. 2) and, therefore, hardly misinterpreted as a differ-
ent fundamental frequency (one more individual), other
phenomena could affect and limit chorus visualisation.
However, repeated measures in different parts of the
chorus could effectively limit overestimation errors.
Considering the overall sample (test HSH and WDH),
92 % of the total number of voices were recognised by
the visual analysis of the choruses, thus highlighting the
potential and wide applicability of this methodology.
In the last few years, like all the inherent computer
science technologies, analysis tools such as spectrograms
and spectral envelopes based on the digital Fourier
transform [45] have become accessible to a broad range
of researchers [46]. This was possible thanks to the
spread of several highly interactive software (e.g., Raven,
made available by Cornell University [47], and widely
accessed open source software environments and pro-
gramming languages such as R [48], with its Seewave
package specifically dedicated to time series (i.e. sounds)
visualisation and analysis [49] (see Fig. 3 and Additional
file 1 and Additional file 2 for an example of spectro-
graphic and spectral visualisation of a wolves chorus).
Precision of the method
Results from the visual estimation performed by another
independent operator after the training on the method-
ology, also showed high correlation values for both test
(Human simulated howling, HSH: n= 20, Spearman’s
rho = 0.92, p< 0.0001; and Wolf downloaded howling,
WDH: n= 9, Spearman’s rho = 0.80, p= 0.009); and no
statistical difference between real and estimated means
(Wilcoxon signed rank test, HSH: n= 20, Z= 1.73, p=
0.147; WDH: n=9, Z= 0.74, p= 0.495) confirming the
accuracy and showing the precision of the bioacoustic
method.
Similarly, analysis of free ranging wolves’replies showed
a high correlation between bioacoustic estimations of
chorus sizes by independent operators (Spearman’srho=
0.93, p< 0.0001) with no difference between operators’
means (Wilcoxon, n=37, Z=−1.898, p= 0.112). Chorus
size estimation by visual inspection was the same for both
operators in 30 replies out of 37 (88 %), and operator 2
agreed with operator 1 in 131 out of 138 total voices clas-
sification. Maximum difference between operators was of
two individuals in only one case and one individual in six
Fig. 1 Bioacoustically predicted versus Real chorus size. Scatter plots representing real versus bioacoustically predicted chorus size for Human
Simulated (HSH) (panel a) and Wolf Downloaded Howling (WDH) (panel b) tests. Radiuses are proportional to the number of cases. Estimation
was exact in 12 cases out of 20 for HSH and 5 cases out of 9. The diagonal represents the 1:1 correlation
Passilongo et al. Frontiers in Zoology (2015) 12:22 Page 3 of 9
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cases (Fig. 4a), thus showing a high precision of spectro-
gram analysis.
Efficiency of the method
Comparison of aural estimations of the 37 free ranging
wolves’replies with the bioacoustic estimations (Fig. 4b)
showed low correlation in both cases (vs. Operator 1:
Spearman’s rho = 0.59, p= 0.0001; and vs. Operator 2:
rho = 0.63, p< 0.0001), which thus proved the two
methods do not provide the exact same results.
Aural and bioacoustic estimations showed similar
overall mean pack size, i.e. comparable accuracy, but
very low concordance that is different precision. Mean
chorus size obtained from bioacoustic and aural method
did not differ statistically (Wilcoxon, n= 37, Operator 1
vs. Aural: Z= 0.446; p= 0.689; Operator 2 vs. Aural: Z=
Fig. 2 Spectral components of a wolf chorus. Narrow band spectrogram (DFT size: 2048 samples; Hanning window; frequency grid: 21.5 Hz;
time step: 10 ms; bandwidth: 37.5 Hz) showing 3.5 s of a wolf chorus emitted by a free ranging pack and recorded during the howling survey.
Spectrogram (a) and its spectral envelope (b) at the second 1.7 are presented. Three different howls recognizable because of the different shape
of F0 and harmonic structure, are present at the same time. Other amplitude picks are due to background noise and echoes. Legend: W = wolf ;
F0 = fundamental frequency; F1 = first harmonic; F2 = second harmonic
Fig. 3 Three wolves’choral howls. Chorus howls of at least three different wolves (free-ranging) recorded during the howling survey in 2007.
Spectrogram (a) and spectrum (b) (window length: 4026 samples) were computed by Seewave, an open source R project package dedicated to
the sound analysis. Colours (from red to blue) represent amplitude degradation. See also Additional file 1 and Additional file 2 for analysis of
wolves choruses with Seewave
Passilongo et al. Frontiers in Zoology (2015) 12:22 Page 4 of 9
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1.362; p= 0.186) as a consequence of bi-directional dif-
ferences between aural and bioacoustic estimations.
Aural and visual pack size estimations were identical in
only 12 cases (32 %); a difference of one individual was
found in 16 cases, a difference of two individuals was
found in eight cases. Finally, three more individuals were
estimated aurally with respect to the bioacoustic estima-
tion in one case (Fig. 4b).
For polyphonic sounds, visualisation is a source separ-
ation method [46] and, below certain sizes, good spec-
trographic exams of wolf choruses can realistically reveal
a number of different contemporaneous sources. How-
ever, as the number of contemporaneous sources in-
creases (7–9 sources, depending on the quality of the
recordings and the chorus modulation), the overlap be-
tween howls generates a high-density spectrogram (and
spectral envelope), in which the different components of
the sound can hardly be discriminated.
Here we showed a high correlation between bioacous-
tic estimation performed by visual inspection of the
chorus and real chorus size and between the estimations
of different operators, thus highlighting the precision of
the technique. Sound editing can also improve listening
quality: indeed, most of the factors affecting aural field
estimation (high background noise) can be totally (chick-
adees) or partially (in case of overlap with the target fre-
quencies - e.g., airplanes’engines) removed (filtered out)
during the sound analysis phase.
Conversely, we showed.discrepancies between aural
and bioacoustic chorus size estimations. Previous works
[15, 22] also showed that aural field estimation of wolf
packs commonly failed to count more than three wolves
correctly, consistent with human general failure to rec-
ognise more than three concurrent sources in a poly-
phonic contest, both in the case of human voice [31]
and music instruments [32].
Although chorus size does not necessarily correspond
to pack size [16, 37] and further studies are needed in
order to better determine the age class of the members
and the overall active space of the choruses, we believe
that this method represents a very useful tool and a rela-
tive low-budget technique for the estimation of mini-
mum wolf pack size.
Conclusions
In this paper, we presented a bioacoustic approach based
on visual spectrographic inspections of wolves’howling
to handily estimate the chorus size of the pack. We
demonstrated that the process of recording and analys-
ing wolves’replies collected during the howling survey
has several advantages. Once recorded, a sound is avail-
able for a potentially infinite number of listening ses-
sions. Moreover, in order to improve the quality of the
sound and, consequently, of the chorus size estimation,
these recordings can also be edited (i.e., filtered, ampli-
fied) and saved in modified versions. For this reason, we
suggest to save the original files for possible future stud-
ies. Also, prerequisite for a good spectrographic analysis
and thus for a good estimation of the chorus size is the
recording quality: an ultra-directional microphone, un-
compressed “wave”or “aif”format and an adequate sam-
pling frequency ( 22,000 or 44,000 Hz) are essential
characteristics for recording the howls correctly.
Recordings of wolves’replies and bioacoustic analysis
can help determine chorus size, thus allowing to count
different wolves in a chorus in a more precise and less
sensitive way than with the more subjective, extempor-
aneous field estimation by ear.
However, in order to be effectively used, the applica-
tion of the methodology for regular monitoring of wolf
populations requires a preliminary training and, for this
reason, researchers will have to instruct and guide
Fig. 4 Comparison between estimated chorus size bioacoustically predicted from two different operators and between aural and bioacoustic.
Scatter plots showing comparison between bioacoustic estimation performed by two operators and aural and bioacoustics estimations of 37
chorus. Bioacoustic estimations by visual inspection of independent operators (Panel a) were highly correlated. Aural and bioacoustic estimations
(Panel b) were poorly concordant. Radiuses are proportional to the number of cases. The diagonal represents the 1:1 correlation
Passilongo et al. Frontiers in Zoology (2015) 12:22 Page 5 of 9
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managers in the use of the technique described. A bio-
acoustic approach to the howling survey can help wild-
life and conservation biologists monitor wolves as well
as other canid species with similar acoustic territorial
marking behaviour, such as the coyote (Canis latrans),
and the golden jackal (Canis aureus), offering a realistic,
objective (because based on the spectral components of
the choruses) estimation of any pack size of up to six-
eight members and thus, the possibility to track this
trend.
Since this source of information can be combined with
other sources (e.g., genetic samples [50], snow tracks
[34], remote photo-videos [51]) in a cross-modal moni-
toring, we believe that chorus size estimations by means
of bioacoustic analysis can help biologists monitor wild
populations of vocal animals, through non-invasive
methods and properly inform administrators on the con-
servation strategies required, on the basis of a realistic
estimate of the status and trends of these predators.
Materials and methods
Tests procedure
We evaluated the reliability of the chorus size estimation
by visual inspection of spectrogram and spectrum. First,
we measured the accuracy of the estimated chorus size.
During a howling survey there is generally no visual access
to the replying pack. We thus analysed bioacoustically
choruses of known size, either simulated by humans (i.e.
“Human simulated howling”test, HSH; n= 20), or of
real wolves (i.e. “Wolf downloaded howling”tests,
WDH; n= 9). Second, we estimated the precision of the
technique by comparing bioacoustically estimated values
of 37 free-ranging wolves’choral replies from two inde-
pendent operators. A training on bioacoustic analysis fol-
lowing the procedure highlighted in this paper was
performed by operators before the tests.
Finally, we tested whether aural estimations and esti-
mations from visual inspection of spectrogram and
spectrum provided comparable results. Using the same
37 wolves’replies we compared aural chorus size estima-
tions obtained in the field during the howling survey
(not necessarily by the same field operators) with the
bioacoustics estimations of the same choruses.
Data acquisition
Human-simulated howls (HSH) were recorded in sum-
mer 2012 and 2013, by groups of 2 to 8 volunteers who
were asked to howl together after training on howling
simulation. Breaking and flat howls were alternated, with
at least 5 howls per trial, and one individual entering in
the chorus as a staggered basis, following Harrington
and Mech [14]. Human howls were recorded in Fonte
del Baregno (43°62’N, 11°93’E), within the protected
area called Alpe di Catenaia in the Apennine Mountains,
in the North-East of Tuscany, Italy. Distance between
source and recorder was 100 m.
Choruses from the internet (Wolf Downloaded Howls,
WDH) were downloaded from YouTube as video file
(.flv) format with VSO downloader 2.9.12 [52] after a re-
search with keywords such as “wolf”,“howls”or similar
terms. We selected and downloaded 9 videos in which it
was effectively possible to count the howling wolves and
all the howling wolves were well visible. So as to be sure
that the chorus size corresponded to the pack size, 8 out
of the 9 choruses used in the WDH were recorded in
captivity (especially in the zoo). The videos were then
converted from the original video format (MP4, “.mov”
or “.flv”types) into audio format (2 channels, Wave for-
mat, 44,100 KHz and 16 bit format) with the software
4Free Video Converter [53] . All the links to the original
files are in Additional file 3.
Free-ranging wolves’replies were collected from 2008
to 2014 during a wolf howling monitoring program (fol-
lowing the Habitat Directive on priority species [92/43/
EEC]) carried out in the Province of Arezzo (3230 km2),
Eastern Tuscany, Italy.
Wolf howling survey was performed in summer (from
July to October), when the pack activity was focused in
the home-sites, because of the pups presence and the rate
of response was consequently higher [14, 15, 54]. Sam-
pling sites were chosen so as to cover the whole study
area, following the method described by Harrington and
Mech [15] as “saturation census”and adapting it to local
requirements/topography to maximise the range of audi-
bility and minimise sound dispersion [54]. Following the
standard procedure suggested by Harrington and Mech
[15]: i) no session was conducted during rainfalls nor with
strong wind; ii) wolf howling was performed overnight, to
minimise the anthropogenic noise; iii) two trials were con-
ducted per site.
Wolves respond to the howling of unfamiliar individ-
uals in six different basic ways, from retreating silently
to remaining and replying with/by vocal approach [14]
in relation to their resources (e.g. fresh prey), and social
context (e.g. presence of pups) and to the stimulus [16];
moreover, they respond to human simulated howling as
well as to playbacks [13, 14]. For these reasons, our
stimuli always consisted in a chorus howls emitted by
two individuals (howling playback by a captive pair of
wolves (duration: 1.20 min) or by human simulated
howling (duration: circa 1 min)). Playback of recorded
chorus howls was emitted by an exponential horn with
high emission directionality (120° horizontal coverage
and 60° vertical).
Three minutes after the first stimulus, if no answer
had followed, a second trial (higher in volume to cover a
bigger area) was attempted, after which the operators
left the site. In case of response, reply bearing, times and
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an extemporaneous estimation of the chorus size by ear
(from the operator without headphone and microphone)
were recorded for each answer. For a better localization
of the pack we repeated one or more trials from a place
closer to the presumed site of response or concurrent
sessions were performed by two groups of operators.
Real pack sizes were unknown for the free-ranging
wolves.
Humans’and free-ranging wolves’howls were cap-
tured with a Sennheiser directional microphone fitted
with a windshield (ME67 head with K6 power module –
frequency response: 50–20,000 Hz) and saved on a
hand-held M-Audio Microtrack 24/96 II digital recorder,
in uncompressed Wave format with a 44,100 Hz sam-
pling rate and 16 bits amplitude resolution.
Bioacoustic analysis
Acoustic signals were analysed with Raven pro 1.4, de-
veloped by Cornel Lab of Ornithology) [47], and with
the open source Seewave package [49] in R v. 2.9.0 [48]
to implement the spectral view.
To estimate chorus size by visual inspections, spectro-
grams and spectral envelopes were computed for each
audio file (Figs. 2 and 3). Spectral envelope (or spectrum)
represents the sound at a given instant, showing the fre-
quencies on the horizontal axis and the sound pressure
(or amplitude) on the vertical axis [47, 55, 56]. The spec-
trogram of a sound represents instead a sequence of
spectra, showing time on the horizontal axis, frequency
on the vertical axis, and the sound pressure as a
greyscale or different colour scale (Fig. 3) [47, 55, 56].
Spectrogram and spectrum are based on the mathemat-
ical function Fourier transform [47, 55, 56], and the ver-
sion of this function which is used to represent
digitalised/discrete signals is called discrete Fourier
transform (DFT) [47]. DFT size represents the length of
the analysis window (the window size), and thus the
number of frames sampled to compute each spectrum of
the spectrogram, while the window function (i.e., Han-
ning, Gaussian) determines how to taper the abruptness
of the onset and offset of a segment [56]. A narrow-
band spectrogram (high window size values) results in a
spectrogram with frequencies which clearly differ from
one another. To analyse wolves choruses, parameters
were set as follows: DFT size: 2048 samples; Hanning
window; frequency grid: 21.5 Hz; time step: 10 ms,
where frequency grid = (sampling frequency)/DFT size,
while time step was taken to be the distance between
the centre of subsequent samples. In case of noise in the
recordings (anthropogenic: cars, planes, high music from
villages, human voices, bells; natural: wind, rivers, other
animals), a band-pass flat filter (100–2000 Hz) was ap-
plied to delete noise and thus to improve the audibility
of wolves’replies.
Every single howl emitted by a wolf appears as a fun-
damental frequency (F0) and its harmonic overtones, or
harmonics (Fig. 2). The fundamental frequency is the
glottal pulse rate and determines the pitch of the voice
[56], while harmonic overtones are integer multiples of
the fundamental frequency (F0*2; F0*3;…, F0*N) [56].
Chorus size was then estimated by counting the num-
ber of different howls (viewed as the fundamental plus
harmonics) visualised at the same time (Fig. 2)), assum-
ing that one wolf cannot produce multiple fundamental
frequencies at a given time. Harmonic overtones were
easily recognised because of their shape (same as F0)
and frequencies (integer multiples of F0); since the dif-
ference between howls (inter-harmonic space) doubles
from the fundamental frequencies to the first har-
monics, they can also help recognise different howls
(Fig. 2).
Statistical analysis
All statistical analyses were carried out using R v. 2.9.0
[48]. Spearman’s rank correlations were computed to
compare the real and bioacoustically predicted chorus
size, the bioacoustic estimations of the chorus sizes per-
formed by two different operators and the bioacoustic
and aural estimation of the chorus size. Hypotheses of
no mean differences between the real and bioacoustically
predicted chorus size, the bioacoustic estimations of the
chorus sizes performed by two different operators and
the bioacoustic and aural estimation of the chorus size
were tested by Wilcoxon matched-pairs signed-ranks
test.
Additional files
Additional file 1: R Script for wolf choruses analysis with Seewave
package in R environment. (R 1 kb)
Additional file 2: Audio file of free-ranging wolf howling.
(WAV 7962 kb)
Additional file 3: Links to the videos used for WDH test.
(DOCX 12 kb)
Competing interests
The authors declare that they have no competing interests.
Authors’contributions
Conceived and designed the experiments: DP, LM, MA. Performed the
experiments: DP, LM, EB, LS. Analysed the data: DP, LM, EB, LS. Wrote the
paper: DP, LM, EB, MA. All authors read and approved the final manuscript.
Acknowledgements
We want to thank Regione Toscana and Arezzo Province for logistical and
financial support. We are also grateful to Andrea Gazzola, Emanuela
Donaggio for advice and for helping during the fieldwork. We are grateful to
two anonymous referees for providing useful comments. We also thanks
Foreste Casentinesi National Park Rangers for helping in data collection and
all students and volunteers involved in this study.
Passilongo et al. Frontiers in Zoology (2015) 12:22 Page 7 of 9
Content courtesy of Springer Nature, terms of use apply. Rights reserved.
Funding
This work has been supported by Regione Toscana, University of Sassari and
by the Provincial Government of Arezzo (Italy). The funders had no role in
study design, data collection and analysis, decision to publish, or preparation
of the manuscript.
Author details
1
Department of Science for Nature and Environmental Resources, University
of Sassari, via Muroni 25, I-07100 Sassari, Italy.
2
Servizio Piano Faunistico,
Provincia di Arezzo, Piazza della Libertà 3, I–57100 Arezzo, Italy.
3
Szent István
University, Institute for Wildlife Conservation, Páter K str 1, Gödöllő, Hungary.
Received: 17 March 2015 Accepted: 1 September 2015
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