{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Timing Analysis Demo"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import avn.timing\n",
"import pandas as pd\n",
"import seaborn as sns\n",
"import matplotlib.pyplot as plt"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"In this tutorial, we will be using AVN's timing module to look at the timing properties of a bird's songs. This module has both segmentation-dependent timing analysis methods, and segmentation-independent methods. To use the segmentation-dependent methods, you need to have segmented syllable data. This can be generated using AVN's segmentation module, or any other segmentation method of your choosing. Let's being with the segmentation-dependent methods"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Segmentation-dependent Timing Analysis"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The first step of segmentation-dependent timing analysis is to load our syllable segmentations, and use them to instantiate a `SegmentTiming` object. This type of object has many built-in functions to perform out timing analysis. \n",
"\n",
"The syllable segmentations should be stored in a pandas dataframe with one row per syllable and the following columns:\n",
"- `files` should contain the name of the .wav file in which the syllable is found. \n",
"- `onsets` should contain the onset timestamp of the syllable in seconds within the file. \n",
"- `offsets` should contain the offset timestamp of the syllable in seconds within the file.\n",
"\n",
"If your syllable dataframe has any additional columns (with notes or syllable type labels for example), that is completely fine and those will be preserved, and they will not affect the timing analysis results. \n",
"\n",
"Here is an example of what that segmentation table could look like: "
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
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"\n",
"[594 rows x 4 columns]"
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"Bird_ID = 'G402'\n",
"path_to_syll_df = \"../sample_data/\" + Bird_ID + \"_syll_df.csv\"\n",
"syll_df = pd.read_csv(path_to_syll_df)\n",
"syll_df"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Note that the 'labels' column is not necessary, and will have no impact on the results of the timing analysis. \n",
"\n",
"Now let's create the `SegmentTiming` object by passing the Bird_ID and syll_df as inputs to `avn.timing.SegmentTiming()`, along with the path to the folder containing the song files in syll_df. "
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"segment_timing = avn.timing.SegmentTiming(Bird_ID, syll_df, song_folder_path='../sample_data/')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Syllable Durations"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We can use this new `segment_timing` object to get the distribution of syllable and gap durations in our segmentation table. To get the syllable durations, simply run:"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
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" files onsets offsets labels durations\n",
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}
],
"source": [
"syll_durations = segment_timing.get_syll_durations()\n",
"syll_durations.head(3)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We can plot the distribution of syllable durations like so: "
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
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",
"text/plain": [
"
"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"sns.kdeplot(data = syll_durations, x = 'durations', bw_adjust=0.1)\n",
"plt.title('Syllable Durations')\n",
"plt.xlabel('Syllable duration (s)');"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"This is an example of an adult zebra finch with quite stereotyped syllable durations. As a result, the syllable duration distribution is comprised of multiple narrow peaks, each reflecting a different syllable type. In contrast, juvenile birds producing subsong or birds with HVC lesions will have a single peak in their distribution with a long tail, reflecting the high variability of syllable durations in their songs. See [(Aronov et al. 2011)](https://www.jneurosci.org/content/31/45/16353) for more examples.\n",
"\n",
"One way to quantify how 'peaky' (ie typical and mature) the syllable distribution is is to calculate the entropy of the distribution. This can be done by calling `segment_timing.calc_syll_duration_entropy()`. This entropy calculation is implemented according to the method described in [(Goldberg & Fee, 2011)](https://pubmed.ncbi.nlm.nih.gov/21430276/)"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.5838704938443375"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"segment_timing.calc_syll_duration_entropy()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The resulting entropy can range from 0 to 1, with higher scores indicating less predictable syllable durations, consistent with the songs of immature birds. "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Gap Durations"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We can also do the same for gap durations. By calling `segment_timing.get_gap_durations()`, AVN will calculate the duration of the silent gaps between all syllables in syll_df. Some of these gaps will be very long, reflecting the time between bouts or calls. Since we are only interested in the timing of song, it is recommended to ignore these longer gaps by specifying a maximum gap duration with the `max_gap` parameter. This should be set such that it is longer than any gaps between syllables in a bout, but is shorter tha the gaps between bouts. Here, we will use 0.2 seconds. "
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"
"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"sns.kdeplot(data = gap_durations, x = 'durations', bw_adjust=0.1)\n",
"plt.title('Gap Durations')\n",
"plt.xlabel('Gap duration (s)');"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We can also calculate the entropy of this distribution like so: "
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.8016231807294992"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"segment_timing.calc_gap_duration_entropy()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"This value is calculated in the same way as the syllable duration entropy. "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Segmentation-Independent Rhythm Analysis"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"In cases where we don't have reliable syllable segmentations, or when we wish to consider the timing of entire song bouts instead of individual syllables and gaps, we can use a \"Rhythm Spectrum\" approach based on [(Saar & Mitra, 2008)](https://pubmed.ncbi.nlm.nih.gov/18213370/). In AVN, this is done using the `RhythmAnalysis` class. You can create an instance of this class like so: "
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [],
"source": [
"rhythm_analysis = avn.timing.RhythmAnalysis(Bird_ID)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### The Rhythm Spectrogram"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"All these rhythm analyses center around the idea of a rhythm spectrum. This is the spectrum of the amplitude of a song. If the song's amplitude has consistent repeating fluctuation patterns (as we expect with multiple repetitions of a stereotyped motif), the spectrum will exhibit a harmonic banding pattern. If, by contrast, there are no repeating rhythms in the song's amplitude trace, the rhythm spectrum will have an even spread of magnitudes across frequency bands. This is the case for juvenile birds producing subsong. \n",
"\n",
"The rhythm spectrogram is a visual representation of the rhythm spectrum of multiple song files all concatenated to make the presence or absence and consistency of the harmonic bands across renditions more obvious. We can generate a rhythm spectrogram by calling `rhythm_analysis.make_rhythm_spectrogram()`, and specifying either:\n",
"- `song_folder_path`: The path to a folder of .wav files to analyze. All .wav files in this folder will be included in the rhythm spectrogram\n",
"OR\n",
"- `song_files`: A list of .wav files to include. \n",
"\n",
"If both are specified the function will return an error, as the exact set of files to use is ambiguous. \n",
"\n",
"Let's specify the song_folder_path and look at all the files we have for our example bird: "
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"file is too short for the specified frame_length, n_windows and hop_length. File will be skipped.\n",
"file is too short for the specified frame_length, n_windows and hop_length. File will be skipped.\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"file is too short for the specified frame_length, n_windows and hop_length. File will be skipped.\n",
"file is too short for the specified frame_length, n_windows and hop_length. File will be skipped.\n",
"file is too short for the specified frame_length, n_windows and hop_length. File will be skipped.\n",
"file is too short for the specified frame_length, n_windows and hop_length. File will be skipped.\n",
"file is too short for the specified frame_length, n_windows and hop_length. File will be skipped.\n",
"file is too short for the specified frame_length, n_windows and hop_length. File will be skipped.\n",
"file is too short for the specified frame_length, n_windows and hop_length. File will be skipped.\n",
"file is too short for the specified frame_length, n_windows and hop_length. File will be skipped.\n",
"file is too short for the specified frame_length, n_windows and hop_length. File will be skipped.\n",
"file is too short for the specified frame_length, n_windows and hop_length. File will be skipped.\n",
"file is too short for the specified frame_length, n_windows and hop_length. File will be skipped.\n"
]
}
],
"source": [
"rhythm_spectrogram = rhythm_analysis.make_rhythm_spectrogram(song_folder_path='../sample_data/G402/', )"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"A few of the files were skipped because they were too short. This is normal and can be ignored as long as there are enough files that are long enough. For more information about making the rhythm spectrogram, please refer to the function's docstring in the documentation tab. "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"In addition to returning a copy of the rhythm spectrogram, the `rhythm_analysis.make_rhythm_spectrogram()` function also saves the rhythm spectrogram in `rhythm_analysis.rhythm_spectrogram`:"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
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"[2721 rows x 60 columns]"
]
},
"execution_count": 13,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"rhythm_analysis.rhythm_spectrogram"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Looking at the raw rhythm spectrogram table isn't very informative, so let's plot it instead: "
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [
{
"data": {
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",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fig = rhythm_analysis.plot_rhythm_spectrogram()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"There is some file-to-file variation in the spectra, but there does seem to be a consistent harmonic banding pattern present in this bird's rhythm spectrogram. These patterns can be easier to detect if we apply some smoothing along the song file dimension of the spectrogram. This can be done by setting a `smoothing_window` parameter when we make the plot. Let's try setting `smoothing_window=10`, which will plot the rolling average of 10 files rhythm spectra instead of a single spectrum per file: "
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fig = rhythm_analysis.plot_rhythm_spectrogram(smoothing_window=10)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Rhythm Spectrum Entropy"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We can also quantify a bird's rhythmicity by calculating the Weiner Entropy of the mean rhythm spectrum across files. Weiner entropy is a feature implemented in the avn.acoustics module which can tess us how uniformly power is spread across frequency bands in the audio of a song. The value can range from 0 to negative infinity with noisy syllable having values closer to 0 and harmonic stacks having more negative values. \n",
"\n",
" We can use this exact same idea to see how 'harmonic' the rhythm spectrum is. Once the rhythm spectrogram has been generated, we can calculate the Weiner entropy of the mean rhythm spectrum like so: "
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"-0.4518114225775349"
]
},
"execution_count": 18,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"rhythm_analysis.calc_rhythm_spectrogram_entropy()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Peak Frequency Variability"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The exact spacing of the harmonics in a rhythm spectrogram depends on the shape of the amplitude trace of the bird's motif. It isn't obvious how different motifs and motif lengths affect the banding pattern of the rhythm spectrogram, so it doesn't make sense to compare the appearance of different birds rhythm spectra beyond the prominence of any harmonic bands. Likewise, the frequency of the harmonic with the highest magnitude also doesn't carry any special meaning. \n",
"\n",
"However, in a very stereotyped bird, that harmonic band with the highest frequency will be consistent across songs. If the bird sings its song slightly faster or slower the band can shift slightly in the frequency domain. So, another way to measure a bird's rhythm stereotypy is to look at the variability of the frequency with the highest magnitude across song files, aka the peak frequency. \n",
"\n",
"We can get a list of the peak frequency for each file by calling `rhythm_analysis.get_refined_peak_frequencies()`. We call this the *refined* peak frequency because this function actually finds the frequency with the highest magnitude for each file, then performs a second search for the peak frequency, this time restricted to the `freq_rage` band of frequencies centered on the overall median peak frequency. This is done to ensure that we are always comparing the frequency of the same harmonic band across files. If there are two or more harmonic bands of similar magnitude, the exact band with the highest magnitude can jump around unpredictably between the multiple bands, resulting in an overestimate of the variability. Refining our search by restricting it to a narrower band of frequencies can help us estimate the actual timing variability more reliably. "
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [],
"source": [
"peak_frequencies = rhythm_analysis.get_refined_peak_frequencies(freq_range=3)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let's plot the refined peak frequencies over the rhythm spectrogram:"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fig = rhythm_analysis.plot_peak_frequencies()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We can quantify the variability of the peak frequency by calculating it's coefficient of variability like so: "
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.03378039097010725"
]
},
"execution_count": 21,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"rhythm_analysis.calc_peak_frequency_cv()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"And there you have it!"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "avn_dev",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.8.16"
}
},
"nbformat": 4,
"nbformat_minor": 2
}