{ "cells": [ { "cell_type": "markdown", "id": "8c212d36", "metadata": {}, "source": [ "# Whistles features analyses" ] }, { "cell_type": "code", "execution_count": 1, "id": "61e92b48-cd5c-46e4-86db-d74d1fc88e3c", "metadata": {}, "outputs": [], "source": [ "#%%## IMPORTATIONS #####\n", "import os\n", "import json\n", "import numpy as np\n", "import pandas as pd\n", "from tqdm import tqdm\n", "from time import time\n", "from datetime import datetime\n", "\n", "import seaborn as sns\n", "import matplotlib.pyplot as plt\n", "\n", "from scipy import stats\n", "import statsmodels.api as sm\n", "from statsmodels.formula.api import glm, ols\n", "from dtaidistance import dtw, dtw_ndim\n", "from dtaidistance import dtw_visualisation as dtwvis\n", "from sklearn.decomposition import PCA\n", "from sklearn.preprocessing import StandardScaler\n", "\n", "from utils.misc import (NumpyEncoder, import_contours_to_curves,\n", " load_spectrogram, plot_contours_on_spectrogram,\n", " refine_contours2pixels, qqplot_perso, custom_draftmans_plot)" ] }, { "cell_type": "code", "execution_count": 2, "id": "4279cffe-c3fd-43bd-8348-c1946641ff78", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "Summary of results (after filtering):\n", "\tNumber of whistles: 411\n", "\t\t188 with angular speed available\n", "\t\t223 without angular speed\n", "\tMin frequency: 4.75\n", "\tMax frequency: 26.16\n", "\tDuration (in seconds): 0.50 [Mean]\n", "\tSNR (in dB): 15.32 [Mean]\n", "\t# harmonics: 0.0438 [Mean]\n" ] } ], "source": [ "output_dir = \"Whistles_kit/features\"\n", "output_img = \"Whistles_kit/features/pictures\"\n", "#%%## DATA IMPORTATION #####\n", "filtered_data = pd.read_csv(\n", " os.path.join(output_dir, \"whistle_features_filtered.csv\"), \n", " parse_dates=[\"datetime\"])\n", "better_filtered_data = filtered_data.copy()\n", "better_filtered_data[\"abs_angular_speeds\"] = np.abs(better_filtered_data[\"angular_speeds\"])\n", "better_filtered_data[\"min_f\"] = better_filtered_data[\"min_f\"]/1000\n", "better_filtered_data[\"mean_f\"] = better_filtered_data[\"mean_f\"]/1000\n", "better_filtered_data[\"max_f\"] = better_filtered_data[\"max_f\"]/1000\n", "\n", "print(\"\\nSummary of results (after filtering):\")\n", "print(f\"\\tNumber of whistles: {len(better_filtered_data)}\")\n", "print(f\"\\t\\t{len(better_filtered_data)-np.isnan(better_filtered_data['angular_speeds']).sum()} with angular speed available\")\n", "print(f\"\\t\\t{np.isnan(better_filtered_data['angular_speeds']).sum()} without angular speed\")\n", "print(f\"\\tMin frequency: {better_filtered_data['min_f'].min():.2f}\")\n", "print(f\"\\tMax frequency: {better_filtered_data['max_f'].max():.2f}\")\n", "print(f\"\\tDuration (in seconds): {np.mean(better_filtered_data['duration']):.2f} [Mean]\")\n", "print(f\"\\tSNR (in dB): {np.mean(better_filtered_data['SNR']):.2f} [Mean]\")\n", "print(f\"\\t# harmonics: {np.mean(better_filtered_data['n_harmonics']):.4f} [Mean]\")" ] }, { "cell_type": "code", "execution_count": 3, "id": "ef7fef99", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "<Figure size 640x480 with 1 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax = sns.histplot(\n", " data=better_filtered_data,\n", " x=\"abs_angular_speeds\", kde=True,\n", " color=\"#6ba4b6ff\",\n", ")\n", "plt.xlabel(\"Orientation (in °)\")\n", "plt.title(\"Orientation of on-axis dolphins at whistling time\")\n", "ax.get_figure().savefig(os.path.join(output_img, \"orientation_distrib.pdf\"))\n", "plt.show()\n", "plt.close(\"all\")" ] }, { "cell_type": "code", "execution_count": 4, "id": "3d623493-034a-49d5-86f5-ac5bca9c2b2d", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "<Figure size 1300x800 with 36 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#%%## Draftman's plot #####\n", "fig, axs = custom_draftmans_plot(\n", " better_filtered_data[['duration', 'SNR', 'abs_angular_speeds', 'min_f', 'mean_f', 'max_f']].copy(),\n", " old_names = ['duration', 'SNR', 'abs_angular_speeds', 'min_f', 'mean_f', 'max_f'],\n", " new_names = [\n", " 'Duration (s)', 'SNR (dB)', 'Orientation\\n(deg)', \n", " 'Min. freq.\\n(kHz)', 'Mean freq.\\n(kHz)', 'Max. freq.\\n(kHz)'])\n", "for i in range(6):\n", " for j in range(6):\n", " axs[i,j].tick_params(axis='both', which='major', labelsize=12)\n", " axs[i,j].xaxis.get_label().set_fontsize(14)\n", " axs[i,j].yaxis.get_label().set_fontsize(14)\n", " axs[i,j].yaxis.set_label_coords(-0.25,0.5)\n", "plt.show()\n", "fig.savefig(os.path.join(output_img, \"draftman_plot.pdf\"))" ] }, { "cell_type": "markdown", "id": "03c30f2d", "metadata": {}, "source": [ "## Annex : draftman's analyses\n", "Introducing the coefs > 0.25 or < -0.25\n", "\n", "### SNR-duration\n", "Intuitively, for a same duration, if a whistle is emitted louder, the hydrophone should catch the sound for a longer period of time (because it is then ininterrupted by noise). Let's prove that from our data.\n", "\n", "### Duration-freq\n", "From the graphs, there also seems to be a relation between duration and min freq (negative) and max freq (positive).\n", "The longer a whistle is, the less likely it is to be of low frequency, but the less likely it is to be of high frequency. Why ? well good question...\n", "\n", "### Frequencies\n", "Obviously, min/max/mean frequencies are correlated." ] }, { "cell_type": "markdown", "id": "f14980ce", "metadata": {}, "source": [ "## SNR-duration" ] }, { "cell_type": "code", "execution_count": 5, "id": "1a1ae87a", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "<Figure size 400x300 with 1 Axes>" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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", "text/plain": [ "<Figure size 400x300 with 1 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = qqplot_perso((better_filtered_data[\"duration\"]))\n", "fig.set_size_inches(4, 3)\n", "plt.show()\n", "fig = qqplot_perso((better_filtered_data[\"SNR\"]))\n", "fig.set_size_inches(4, 3)\n", "plt.show()\n" ] }, { "cell_type": "code", "execution_count": 6, "id": "0c0a8275", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " Results: Generalized linear model\n", "===============================================================\n", "Model: GLM AIC: 3091.3517 \n", "Link Function: Log BIC: -2445.2816\n", "Dependent Variable: SNR Log-Likelihood: -1543.7 \n", "Date: 2024-07-10 14:52 LL-Null: -1545.7 \n", "No. Observations: 411 Deviance: 16.323 \n", "Df Model: 1 Pearson chi2: 17.2 \n", "Df Residuals: 409 Scale: 1.0000 \n", "Method: IRLS \n", "----------------------------------------------------------------\n", " Coef. Std.Err. z P>|z| [0.025 0.975]\n", "----------------------------------------------------------------\n", "Intercept 2.5495 0.1004 25.3824 0.0000 2.3526 2.7463\n", "duration 0.3464 0.1716 2.0190 0.0435 0.0101 0.6826\n", "===============================================================\n", "\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/home/loic/anaconda3/envs/VIRTUBA/lib/python3.9/site-packages/statsmodels/genmod/families/family.py:1367: ValueWarning: Negative binomial dispersion parameter alpha not set. Using default value alpha=1.0.\n", " warnings.warn(\"Negative binomial dispersion parameter alpha not \"\n" ] } ], "source": [ "# better_filtered_data[[\"log_SNR\", \"log_duration\"]] = np.log(better_filtered_data[[\"SNR\", \"duration\"]])\n", "better_filtered_data.reset_index(inplace=True, drop=True)\n", "mod1 = glm(\n", " \"SNR ~ duration + 1\",\n", " data=better_filtered_data,\n", " family=sm.families.NegativeBinomial()).fit()\n", "# best AIC for Gamma, best BIC for NegativeBinomial\n", "print(mod1.summary2())" ] }, { "cell_type": "code", "execution_count": 7, "id": "ccdb4a8c", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "shapiro-wilk: s=0.96, p=2.7e-09\n", "H0 rejected (distrib not normal)\n", "\n", "kendall-tau: r=-0.02, p=0.5\n", "H0 cannot be rejected (Absence of correlation)\n" ] } ], "source": [ "# model shows an effect, now verify hypotheses\n", "fig = qqplot_perso(mod1.resid_response)\n", "print(fig.axes[0].texts[0].get_text())\n", "plt.close(fig)\n", "# normality not expected anw\n", "\n", "# What about independance of residuals ?\n", "r, p = stats.kendalltau(mod1.predict(), mod1.resid_response)\n", "print(f\"\\nkendall-tau: r={r:.2f}, p={p:.2g}\")\n", "if p<0.05:\n", " print(\"H0 rejected (Presence of correlation)\")\n", "else:\n", " print(\"H0 cannot be rejected (Absence of correlation)\")" ] }, { "cell_type": "code", "execution_count": 8, "id": "c7158a68", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "<Figure size 600x600 with 3 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Show a plot of the results\n", "fig = sns.jointplot(\n", " x=better_filtered_data[\"duration\"], \n", " y=better_filtered_data[\"SNR\"]\n", ")\n", "\n", "predictions = mod1.get_prediction(\n", " better_filtered_data[\"duration\"]).summary_frame()\n", "sns.lineplot(\n", " x=better_filtered_data[\"duration\"],\n", " y=predictions[\"mean\"],\n", " label=\"Prediction mean\",\n", " color=\"tab:red\", lw=2,\n", " ax=fig.figure.axes[0]\n", ")\n", "fig.figure.axes[0].fill_between(\n", " better_filtered_data[\"duration\"].loc[np.argsort(better_filtered_data[\"duration\"])], \n", " (predictions[\"mean\"]+predictions[\"mean_se\"]).loc[np.argsort(better_filtered_data[\"duration\"])], \n", " (predictions[\"mean\"]-predictions[\"mean_se\"]).loc[np.argsort(better_filtered_data[\"duration\"])], \n", " color='tab:red', alpha=.2, lw=0, label=\"mean_se\")\n", "fig.figure.axes[0].fill_between(\n", " better_filtered_data[\"duration\"].loc[np.argsort(better_filtered_data[\"duration\"])], \n", " (predictions[\"mean_ci_upper\"]).loc[np.argsort(better_filtered_data[\"duration\"])], \n", " (predictions[\"mean_ci_lower\"]).loc[np.argsort(better_filtered_data[\"duration\"])], \n", " color='tab:green', alpha=.2, lw=0, label=\"mean_ci\")\n", "fig.figure.axes[0].tick_params(axis='both', which='major', labelsize=12)\n", "fig.figure.axes[1].set_title(\"Model estimates VS data\")\n", "fig.figure.tight_layout()\n", "plt.legend(fontsize=11)\n", "plt.xlabel(\"Duration (s)\", fontsize=15)\n", "plt.ylabel(\"SNR (dB)\", fontsize=15)\n", "plt.show()\n", "fig.savefig(os.path.join(output_img, \"duration_SNR.pdf\"))" ] }, { "cell_type": "markdown", "id": "748fe576", "metadata": {}, "source": [ "## Duration-frequency\n", "We'll do it with max_frequency only, it is redundant with min_frequency" ] }, { "cell_type": "code", "execution_count": 9, "id": "7cd79e8e", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "<Figure size 400x300 with 1 Axes>" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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o7mylkSV6efOaxtbZJyQkAACsrPKvW0tPT0d6errkcWJiosrjIoSUjBMPYzDtrwtYeGw5Oj+/BgA4Wb0FpniPR6KRWaH721kaIdDHrcyW5HPTyGQvEokwfvx4tGrVCnXr1s13u6CgIMyaNasEIyOElAShiGHPmn04umMOqibGIV1XD/M8/LG1cVdAkH/p3MpUHz0aVtHoknxRaWQ1zsiRI3H8+HFcunQJVatWzXc7WSV7e3t7qsYhRJMxhgsjpsP9r8XQFwnxqpwtRnULwENb13x36VLXFgPdncpkgi+z1TijR4/GkSNHcOHChQITPQAYGhrC0NCwhCIjhKjcp094//1PaHPhDADgSK1vMd1rNJIMTQvczauubZm7I1ZRGpPsGWMYM2YMDhw4gJCQEDg7O6s7JEJISbp8Gak/9EKl9zFI19XH7A5Dsb1hlwKrbcTK4k1SitKYZD9q1Cjs2LEDwcHBMDc3R2xsLADA0tISxsbGao6OEKIyIhGwcCFEv/0GY6EQL8tXxuhuAQivVK3QXcvyTVKK0pg6e0E+v96bN2/GoEGD5DoGdb0kRLMIY98jqXdflLt4DgBw0K0tfu00CimGJnLtLwDKdN95oAzW2WvIbxIhpAiEIoZrLz7h8osPePclDXbljGB29TJ6LZ0Gm+R4pOkZYIbnCOyu31GuahtA+7pWFkZjkj0hpGwRJ/ht16Jw7kkcMoW8QKcjEmLU1d0Ycfk/6DIRnlewx6hu0/DM2kmu41oa62FtvyZoUa1Cmet5UxyU7AkhJe7EwxgE7H+AL18zpZZbJ3/GsiOL0frVPQDA3rod8HvHkUg1kL+BdcEP9dHKtaJS4y0LFE72d+7cgb6+PurV4wP/BwcHY/PmzXBzc8PMmTNhYGCg9CAJIWXHiYcxGPHvnTzLW0aFYcWRxbBO+YKv+ob4vePP2Fevg9zH1REAq/uU7fr54lB4ILThw4fj2bNnAICXL1/ip59+gomJCfbs2YOpU6cqPUBCSNkhFDEEBj+SWqYjEmLCxX/x767fYZ3yBU8qOsJn4HKFEj0ArO7TCN71KdHnR+GS/bNnz9CwYUMAwJ49e9CmTRvs2LEDly9fxk8//YTly5crOURCiCbLyBJh65VI3IiMx5PYRLxPyr6r3SbpE1YeXoQWrx8CAP6r3wmzPIchTV/+ahtxiZ4SfcEUTvaMMYhEIgDAmTNn0LVrVwCAvb09Pn78qNzoCCEaSdz4uujUE4S9TpC5TZuXt7HsyBJUSE1EsoExfuk8Cofc2in8XCt/pBK9PBRO9k2bNsUff/wBT09PhIaGYt26dQCAyMhIVKpUSekBEkI0S36Nr2K6IiEmXfwHP1/bCwAIt3HGqG4BiLSqovBzDW/jjK4NKxcrXm2hcLJfvnw5+vXrh4MHD+LXX3+FqysffGjv3r1o2bKl0gMkhGgGoYhh1dnnWH72eb7b2CV+wMpDi9DsbTgAYFuj7zC3vT/S9RTr2GFlqo8/utWFd31K9PJS2h20aWlp0NXVhb6+vjIOpxJ0By0hqnHsfgym7L2HlAxhvtt4vLiJpUeWonxaEhINTBDQZSyO1Wot93MY6eugTzN7dKpjVyZHrywqld5B++XLF+zduxcvXrzAlClTYGVlhfDwcFSqVAlVqih+KUYI0UxCEcOYHXdw7GFsvtvoCzMxJXQbht08AAC4b+uK0b7TEF1edj27rg7gWcsGjR2tkJiWCQEEcHepQDdJFZPCyf7+/fvo0KEDypUrh6ioKAwdOhRWVlbYv38/oqOjsW3bNlXESQgpZY7dj8HY/+4gq4C6gaoJ77EqeCEaxTwFAGxu4oOgdkOQoSe7BqC8iT6u/+IJAz2NmR5bYyh8RidOnIjBgwfj+fPnMDLK7h7l7e2NCxcuKDU4QkjpNOdIOH7eUXCi7/TsKo5uHotGMU+RYGiKYT1+xSzP4fkmegAI+r4eJXoVUbhkf/PmTWzYsCHP8ipVqkiGHSaElF3+W27g7JMP+a43yMrE9JC/Mfj2YQDAXbuaGNNtKt5Y5t9bz9RQF0t6NaC7X1VI4WRvaGgoc+LuZ8+ewdraWilBEUJKp8ISvcPnGKw+tAD1YyMAAH8264FFbQciU1d2ad5QT4CRbV0wpkMNqo9XMYWTva+vL2bPno3du3cD4OPMR0dHY9q0afjhhx+UHiAhpHSYdfhhgYne+8klzD++EhYZX/HZyByTvpuAc67NpbbREQBNHMqhebUKaOlSkRpdS5DCXS8TEhLQs2dP3Lp1C0lJSahcuTJiY2Ph7u6OY8eOwdS04Lkg1Ym6XhJSNHOPPsLGi1Ey1xlmZeC3c39hwN1jAICbVdww1ncKYiykr/S/q1cJK/s0oeSuZCrremlpaYnTp0/j0qVLuH//PpKTk9G4cWN4enoWK2BCSOl07P67fBO9U/xbrAlegDpxLwEAa1r0wrLW/ZClm51aBACGtXHGdG+3EoiW5KfI49m3bt0arVvLf0MEIUTzCEUMvwU/lLnONzwU806uhllGKj4ZW2BC10m4UK2JZL0AwPeNKyPo+wbUw6YUkCvZr1y5Uu4Djh07tsjBEEJKlxuR8YhPkR7jxjAzHTPPbECf+6cAANfs62KszxTEmVeQbNPYwRJ7RrSiKptSRK46e2dnZ/kOJhDg5cuXxQ5KVajOnhDFfLvgHF5/TpU8dvn4GmuC56PWx1cQQYBVLX/EylZ9INTRBcBL86t+aoiuDelO+pKi1Dr7yMhIpQVGCCn9hCKGH9Zckkr0Pzw4izmn18IkMx0fTMthfNfJuOzUULJeVwd4PLsLVdmUUjQHLSFEQihiWH7qKVaFvJAsM85Iw5zT69Dz4VkAwCXHBpjQdTI+mJWX2ndN38aU6EsxuZL9xIkTMWfOHJiammLixIkFbrt06VKlBCbLhQsXsGjRIty+fRsxMTE4cOAAunfvrrLnI0QbZGSJsPnyS+y88RqRn75KravxIQprgheg+qfXEAp0sLxVH6xx7w3R/1fbiA1p5UR3v5ZyciX7u3fvIjMzU/J/dUlJSUGDBg0wZMgQfP/992qLg5CyYu7RcGy8KKOaljH0vn8as8+sh1FWBt6bWWGszxRcd6gn8zgd3WxVHCkpLrmS/fnz52X+v6R16dIFXbp0UdvzE1JWCEUMPdddxl0ZUwaapn/FH6fWokd4CAAg1LkxJn43EZ9My8k8lp2lEZo7W6kwWqIMClewDRkyBElJSXmWp6SkYMiQIUoJSlnS09ORmJgo9UeItgsOewuXX47JTPS1417i0LYJ6BEegiyBDha09cOgXjPzTfQAEOjjRl0sNYDCyX7r1q1ITU3Nszw1NbXUjWUfFBQES0tLyZ+9vb26QyJErXxXX8S4nWF5VzCGfneP4eC2SXCJf4t35hXxY9/5WNeiF5hAdprQ1RFgff/GVFevIeTujZOYmAjGGBhjSEpKkhrLXigU4tixY7CxsVFJkEU1ffp0qQblxMRESvhEa/1v6w3cf5P36tY8PQVBJ1aj65OLAIAzLs0w+bsJ+GKcf59tHQHweLYX9b7RIHIn+3LlykEgEEAgEKBGjRp51gsEAsyaNUupwRWXoaEhDA0N1R0GIWqXmiHEmcd5R6ysGxuB1cEL4PQlBpk6uljQ1g9/NesBCAqullnbj7pZahq5k/358+fBGEP79u2xb98+WFllN8gYGBjA0dERlSvTTO+ElEYt55+VXsAY/O4cwS/nN8FQmIU3FjYY4zsVd6vUKvA4BroCrOzTiKpuNJDcyb5t27YA+N209vb20NEp+V/15ORkRERESB5HRkYiLCwMVlZWcHBwKPF4CCnNMrJE2HTpBZaceoYsUfZyi7RkLDy+Al7PrgIATlZvgSne45FoZFbg8cZ6uGBcx5rUGKuhFB7PHgC+fPmCGzduIC4uDiKRSGrdwIEDlRZcbiEhIfDw8Miz3M/PD1u2bCl0fxobh5R1QhHDpacfEHDgHmISM/Ksb/juKVYdWgj7hPfI0NHDPI8h2NLEJ99qGwGA0e1cML4TJfnSSt68pnCyP3z4MPr164fk5GRYWFhAkONDIhAIEB8fX/SoVYySPSnLgsPeYsKuMIhkfaMZg//NgwgI3QJ9kRCvytlitO80PLCrLvNYLhVNMdO3Dlq6VqQkX8qpbPKSSZMmYciQIZg3bx5MTEyKFSQhpPgyskRos/AsYmWU5AGgXGoiFh9dBs8XNwEAR2u2QkCXsUgyzDurnI4AWN2nEbzrU/tbWaNwsn/79i3Gjh1LiZ6QUiDoWDg2XMh/VNrGbx5j1aGFqJL0Aem6+pjTYSj+bdhFZrXNyDbVMNmrFpXkyyiFk33nzp1x69YtVKtWTRXxEELkVFCiFzARhl/fj8kXtkGPifCyfGWM7haA8Eqyv7dd6lTCNO/aqgyXqJnCyf67777DlClTEB4ejnr16kFfX19qva+vr9KCI4TIlvA1M99Eb/U1AUuPLEW7yNsAgINubfFrp1FIMZR9Na4rAFb3ayJzHSk7FG6gLajLpUAggFAoLHZQqkINtKQsGLrtJk6Hx8lc1/z1Q6w8tBC2yfFI0zNAoOdw7KrfqcCbpNb2bQzv+tRvXlOprIE2d1dLQkjJyMgSwXtFKCI+fM2zTkckxM/X9mDCpR3QZSJEWFXFqO4BeGrtVOAxh7dxpkSvJWimKkI0wOzDj/D35SiZ6yqmfMayw0vw7aswAMDeuh3we8eRSDUwkrk9ABjoAst/pF432qRIyT4lJQWhoaGIjo5GRoZ0d6+xY8cqJTBCCNdm4TlEx+cdaRYAWkaFYcWRxbBO+YKv+ob4vePP2FevQ77HaupQDuM8a1D/eS2kcLK/e/cuvL298fXrV6SkpMDKygofP36EiYkJbGxsKNkTokTfLjiD15/T8yzXEQkx7vJOjLmyEzpgeFrRAaO6BSCiYt5hQ+wsDDH/h/poXd2aErwWUzjZT5gwAT4+Pli/fj0sLS1x7do16Ovro3///hg3bpwqYiREK806/EBmordJ+oQVRxbDPfoBAOC/+p0wy3MY0vSlq21szPRxKcCTRqckAIqQ7MPCwrBhwwbo6OhAV1cX6enpqFatGhYuXAg/Pz+aG5YQJeCTgEfnWd7m5W0sPboUFb8mINnAGL90HoVDbu3ybFfb1hTHx+ddTrSXwsleX19f0v3SxsYG0dHRqF27NiwtLfH69WulB0iINpq+/57UY12REBMv/otR1/YAAMJtnDGqWwAirark2beiqT4lepKHwsm+UaNGuHnzJqpXr462bdtixowZ+PjxI/755x/UrVtXFTESolWEIob9d95JHtsmfsTKwwvR/E04AOCfRt74o/3/kK5nkGdfKtGT/ChcmTdv3jzY2fF+uXPnzkX58uUxcuRIfPjwAX/++afSAyRE2/RafxniOx09XtzEsS1j0fxNOJIMjDHKdxp+7/SzzERfx44SPcmfwiX7pk2bSv5vY2ODEydOKDUgQrTZoTtvcSc6AXrCLEy5sA3Db+wHANy3dcVo32mILi/7BijP2tb4y695SYZKNAzdVEVIKXHs/juM3R2GKglxWHVoARq/ewoA2NzEB0HthiBDTz/PPjUrmeLgqG9hbKBb0uESDaNwsnd2dpaasCS3ly9fFisgQrSNUMSw9ORTrAl9gY7Pr2Hx0WWwTE9BgqEppnqPw8kaLWXu51DeCCcntCvRWInmUjjZjx8/XupxZmYm7t69ixMnTmDKlCnKiouQMi8jS4Qpe8MQHBYDfWEmZpzfjCG3DwEAwuxqYHS3aXhjWSnf/Qe4O5VQpKQsUDjZ53fj1Jo1a3Dr1q1iB0SINsg51o39l1isDl6ABrHPAQB/NuuBRW0HIlM3b7VNTn4tnVUdJilDlHZrXZcuXbBv3z5lHY6QMqvNwnOSRN/lySUc3TwWDWKf47OROfx/+B3z2vsXmuiHfutMd8YShSitgXbv3r2wsrJS1uEIKZNazT+Dt1/SYZiVgV/PbcLAu0cBALeq1MZY3yl4Z2FT6DHa17LGr9+5qTpUUsYU6aaqnA20jDHExsbiw4cPWLt2rVKDI6QsaTnvNN4lZsAp/i3WBC9AnTjemWHdNz2x5Nv+yNIt/OvoZmeGvwdRF0uiOIWTfffu3aUe6+jowNraGu3atUOtWrWUFVe+1qxZg0WLFiE2NhYNGjTAqlWr0Lw5ffhJ6VZ3xnEkZ4jgGx6KeSdXwywjFZ+MLTCx6ySEVpNvSkArU30cG9dWxZGSskrhZB8YGKiKOOSya9cuTJw4EevXr8c333yD5cuXo3Pnznj69ClsbAq//CVEHbyXhyAzJRXzzv6JvvdOAgCu29fFWJ/JeG9eUa5jlDPWxZ3fO6kyTFLGKTwH7du3b7Fv3z48e/YMBgYGqFmzJnr37o3y5curKkaJb775Bs2aNcPq1asB8CkS7e3tMWbMGAQEBBS6P81BS0raLwfu4fqxq1gdvAC1P0RBBAFWu/fGitZ9IdSR70YoK2Nd3An0UnGkRFOpZA7atWvXYuLEicjIyJAcNDExERMnTsRff/2FPn36gDGGsLAwNGrUqHivIJeMjAzcvn0b06dPlyzT0dGBp6cnrl69qtTnIkQZ2i48hyYXjuDwqbUwyUzHB9NyGN91Mi47NZT7GO1rVsDfg1uoLkiiNeRO9kePHsXYsWMxfvx4TJo0STIYWkxMDBYtWgQ/Pz/Y29tj7dq1qFWrltKT/cePHyEUClGpkvRNJpUqVcKTJ09k7pOeno709OzJHxITE5UaEyG5CUUMl55+wPjNF/HL8fXo9fAMAOCyY32M7zoFH8zkuwKmYRCIssmd7BctWoSAgAD88ccfUsvt7OywdOlSmJiYoGPHjrC1tUVQUJDSAy2KoKAgzJo1S91hEC1x+N47jN95F9XiXmFX8ALU+BQNoUAHK1r1wWr33hDJUW3T2MESO4e1pD70ROnk/kTduXMHAwYMyHf9gAEDkJ6ejtDQUDg6OioluJwqVqwIXV1dvH//Xmr5+/fvYWtrK3Of6dOnIyEhQfJHk6sQVRCKGHqsuYQxO+7g+3uncGjbRNT4FI33Zlbo99MfWNmqj1yJ3r+1I/b/3JoSPVEJuUv2QqEQ+vr539Wnr68PY2NjODjknfBYGQwMDNCkSROcPXtW0v1TJBLh7NmzGD16tMx9DA0NYWhoqJJ4CEnNEGLI1uu4+uIzTNO/YtmptegRHgIAuODUCBO6TsIn03JyHWt4G2dM96YbpYjqyJ3s69Spg+DgYEyYMEHm+oMHD6JOnTpKC0yWiRMnws/PD02bNkXz5s2xfPlypKSkYPDgwSp9XkJySs0Qov2S84hJ4O1BteNeYnXwArjEv0WWQAdLv+2PdS16ggnkK6Hf+a0jrMzyTkZCiDLJnexHjRqFkSNHwtDQEMOGDYOeHt81KysLGzZswG+//abyO2h//PFHfPjwATNmzEBsbCwaNmyIEydO5Gm0JUQVMrJE6LIiFC8+fOULGEPfeycQeOZPGAozEWNWAWO6TcWtqvIXeupVsaBET0qEQv3sJ0+ejKVLl8Lc3BwuLi5gjOHly5dITk7G2LFjsWzZMlXGWmzUz54URXJaFrosD8XrL2mSZWbpXzH/xCp0fXIRAHDWpRkme4/HZxNLuY9rbWaAm791VHq8RLvIm9cUvqnq2rVr+O+///D8OR+OtXr16ujTpw9atCj9fYEp2RNFdV11EQ/fSnfZrRMbgTXBC+D0JQaZOrpY2MYPfzXvLne1DQD0/aYq5vVooOxwiRZSyU1VANCiRQuNSOyEFIW4n/y60Oe4FvVFeiVjGHjnCH49vwmGwiy8sbDBGN+puFtFsTGhOtSqSImelDiag5YQ8Pr4qXvDcDAsRuZ6i7RkLDi+El2eXQEAnKreApO9xyPRyEyh5+noZoONA5sVO15CFEXJnmilnCX429FfkCnKf9sG755i9aGFsE94jwwdPQR5DMbmJr5AAXMx5yQA8GMzewT61KE7YonaULInWqWwErwUxuB/KxjTQrbAQJSFaMtKGN1tGu7b1ZD7+Qa3ckCgT71iREyIclCyJ1pj1qFH2HwlSq5tLVOTsPjYMnSMuAEAOFqzFQK6jEWSoalc+7tam+DYuLZ0NywpNYqU7LOyshASEoIXL16gb9++MDc3x7t372BhYQEzM8XqMAlRNaGIodHsU0hMy5Jr+8ZvHmPVoYWokvQB6bp6mNN+KP5t5F1otY0OgN5UXUNKKYWT/atXr+Dl5YXo6Gikp6ejY8eOMDc3x4IFC5Ceno7169erIk5CFJaaIcT/tt7A5Rfxcm0vYCIMu7EfU0K3QY+JEFneDqO7BeBRJZcC99MTAGGBnWFmRBfKpPRS+NM5btw4NG3aFPfu3UOFChUky3v06IGhQ4cqNThCiiI1QwjPJSF4m5BW+Mb/z+prApYcXQqPl7cBAMG12+KXzqOQYmhS4H5+Le0xy7d+seIlpCQonOwvXryIK1euwMBA+hZvJycnvH37VmmBEaKojCwRvlt5Ac/jUhTar/nrh1h5aCFsk+ORpmeAmR2GYWeDzgVW2wR41cSQ1tWoTp5oDIWTvUgkglAozLP8zZs3MDc3V0pQhChqzpFwbLoUqdA+AibCz1f3YOKl7dBlIkRYVcWo7gF4au2U7z517ExxdFy74gVLiBoonOw7deqE5cuX488//wQACAQCJCcnIzAwEN7e3koPkJCCCEUMnktCEPnpq0L7VUz5jKVHlqJN1F0AwL667fF7x5H4amCcZ1tdAdC2hjVW9mlM9fJEYyk8Ns6bN2/QuXNnMMbw/PlzNG3aFM+fP0fFihVx4cIF2NjYqCrWYqOxccqWEw9j8PO/d1DA/VAyub+6hxWHF8Mm5TO+6htiRseR2FvPM892rV0qYKNfM+pZQ0o1lQ2EBvCulzt37sT9+/eRnJyMxo0bo1+/fjA2zlsqKk0o2Zcdx+7H4OcddxTaR0ckxNgrOzH28k7ogOFpRQeM6haAiIp8wh09HaBGJXNM7lQLbWtaQ1dHvjtkCVEnlQ2EBgB6enro379/kYMjpDiO3X+Hn3fcVWgf6+R4rDy8CO7RDwAAO+t3wkzPYUjTN0KPBpWxoFcDamwlZZpcyf7QoUNyH9DX17fIwRBSmBMPYxRO9N9G3sGyI0tQ8WsCUvSN8EvnUQiu4wHH8oY4N6UDleCJVpAr2YvnfC2MQCCQ2VOHEGUQihgm7JQ/0euKhJhwaTt+vroHOmB4bO2EUd0C8LJCVfi3dsTvXeuqMFpCShe5kr1IpGgTGCHKlZElwjfzTiM1S74mJtvEj1h5eCGavwkHAPzbsAuWdB6G4V51qX880UrUj4yUakIRw5gdd3DsYazc+7R7cRNLjy6DVWoikgyMsbDHRPyybRb6U68aosWKlOzPnj2LZcuW4fHjxwCA2rVrY/z48fD0zNt9jZCiOnzvHcbtvAuRnP3F9IRZmHxhG0bc2A8AeFDJBaGzV2LOMLr/gxCFr2XXrl0LLy8vmJubY9y4cRg3bhwsLCzg7e2NNWvWqCJGooX+t/Umxvwnf6KvkhCH3TumSRL9liY+eHvkNEZToicEQBH62VetWhUBAQEYPXq01PI1a9Zg3rx5pXp8HOpnrxn+t/UGzjz+IPf2HZ9fw6Jjy1EuLRmJhqaY1W0CFv43m3rZEK0gb15TuGT/5csXeHl55VneqVMnJCQkKHo4QiQyskQY/99tuRO9vjATv5/diI37/0C5tGSE2VWH96AVCNo+ixI9IbkonOx9fX1x4MCBPMuDg4PRtWtXpQQly9y5c9GyZUuYmJigXLlyKnseoh5Bx8JR47fjOHhPvobYql9isWf7VPjfCgYAbGzWHb36LcR3vu7U04YQGRRuoHVzc8PcuXMREhICd3d3AMC1a9dw+fJlTJo0CStXrpRsO3bsWKUFmpGRgV69esHd3R2bNm1S2nGJ+s09Go6NF+UfsdLr6WUsPL4SFukp+GJkhknfTcBZ128wvI0zpnu7qTBSQjSXwnX2zs7O8h1YIMDLly+LFFRBtmzZgvHjx+PLly8K70t19qXPkbC3GL0zTK5tDbMy8Mv5TfC7cxQAcLtyLYzpNhUpNna4+VsnKtETraSysXEiIxUbM1yd0tPTkZ6eLnmcmJioxmhIbicexsid6B0/v8Oa4AWo+/4FAGD9Nz9g8bcD0LaOLTYN+kaFURJSNpTpm6qCgoIwa9YsdYdBZMjIEmGsnKNW+oSHYt7J1TDPSMUnYwtM+m4injduhQeTPGj4YULkpHCyZ4xh7969OH/+POLi4vIMpbB//365jxUQEIAFCxYUuM3jx49Rq1YtRcMEAEyfPh0TJ06UPE5MTIS9vX2RjkWU58TDGIzacQfCQkbhMMxMR+DZjeh77wQA4HrVOhjrOwW/+nvCt3GVEoiUkLJD4WQ/fvx4bNiwAR4eHqhUqRIEBczTWZhJkyZh0KBBBW5TrVq1Ih/f0NAQhoaGRd6fKN+JhzEY8W/hJXqXT6+xOngBan+IgggCrHbvjRWt+2JpnybwbUSJnhBFKZzs//nnH+zfv18pUxBaW1vD2tq62MchmkEoYggMfljodj0ensMfp9bCNDMNH0zKYULXSbjk3Agd3WzQjRI9IUWicLK3tLQsVmm7qKKjoxEfH4/o6GgIhUKEhYUBAFxdXWFmZlbi8RDF3YiMx/ukjHzXG2ekYdaZ9ej94AwA4IpDfYzzmYwPZlYY+q0Tfv2uTkmFSkiZo3CynzlzJmbNmoW///67RKchnDFjBrZu3Sp53KhRIwDA+fPn0a5duxKLgxTdmfD8b5iq/uEV1gQvQI1P0RAKdLCiVR+sdu+NJtUq4vL/WlC3SkKKSeF+9qmpqejRowcuX74MJycn6OvrS62/c0exeUFLEvWzV59854xlDL0enMHs0+thnJWOONPyGOs7Bdcc6sOztg3+8mtW8sESokFU1s/ez88Pt2/fRv/+/YvdQEvKvowsEQL23cP+u+/yrDPJSMUfp9bi+0fnAQAXnBphQtdJ+GRaDn4tHTHLl2aSIkRZFE72R48excmTJ9G6dWtVxEPKkIKGQagVF4k1wQvgEv8GQoEOlnzbH+ta9AQT6KCxgyUlekKUTOFkb29vT1UgpEBCEUPv9VdwO/pL3pWMoc+9k5h5ZgMMhZmIMauAsb5TcNM+O7n7tZRvSA5CiPwUbvVasmQJpk6diqioKBWEQzTdiYcxqDPjuMxEb5b+FSsPL0LQydUwFGbiXLWm8B68UirRA4CNuVEJRUuI9lC4ZN+/f398/foVLi4uMDExydNAGx8fr7TgiGYp6IapOrERWH1oAZw/xyBTRxeL2gzExuY9wATS5Q07SyM0d7YqiXAJ0SoKJ/vly5erIAyi6YQihmn77uddwRgG3jmCX89vgqEwC28srDHWdyruVKkt8ziBPm408QghKlCk3jiE5Lb63HMkpGZJLbNIS8b84yvh/ewKAOC06zeY7D0eCcbmefYXCIA1fRrDq65dicRLiLYp1qiXaWlpyMiQviOSGm+1j1DEsPlylNSy+jHPsDp4ARwS3iNDRw9BHoOxuYkvz+oyrOnTCN71KdEToioKJ/uUlBRMmzYNu3fvxqdPn/KsFwqFSgmMaI4bkfH4kprJHzCGIbcOISBkMwxEWYi2rITR3abhvl0NmfuaGupiSa8GVKInRMUUTvZTp07F+fPnsW7dOgwYMABr1qzB27dvsWHDBsyfP18VMZJSTjwMgmVqEhYfW46OEdcBAMdqtERAl7FINMo7dpGhrgAj27lgTIcaVEdPSAlQONkfPnwY27ZtQ7t27TB48GB8++23cHV1haOjI7Zv345+/fqpIk5SSglFDDtvRqPx28dYeWghqiZ+QLquHv5o/z/80+i7PNU2DataYIpXbbSoVoGSPCElSOFkHx8fLxn10sLCQtLVsnXr1hg5cqRyoyOl3qrTT9Hv4h5MubAN+iIhIsvbYXS3ADyq5JJn27HtXTGxU001REkIUfimqmrVqknmoa1VqxZ2794NgJf4y5Urp9TgSOl2OvQh6v88AL+EbIa+SIhDtdvAx2+FzEQPAC42NBQ1IeqicMl+8ODBuHfvHtq2bYuAgAD4+Phg9erVyMzMxNKlS1URIymFrm89iLqj/we75E9I0zPArA7D8F+Dzvn2tgHozlhC1EnhIY5zi4qKwp07d+Dq6or69esrKy6VoCGOlUAkgmjePLAZgdBlIrywqopR3abhiU3B49nYWRrh0rT2VE9PiJKpbIjj3JycnODk5FTcwxBN8P49MGAAdE6fBgDsq+OB3zv9jK8GhU9iQ3fGEqJectfZX716FUeOHJFatm3bNjg7O8PGxgbDhg1Denq60gMkpcT580DDhsDp00jVM8SULuMw6buJhSZ6AYC1fenOWELUTe5kP3v2bDx69Ejy+MGDB/D394enpycCAgJw+PBhBAUFqSRIokZCITBrFuDpCcTGIrZqNfj4LcOe+h0LrJ8XG9uhOt0ZS0gpIHc1TlhYGObMmSN5vHPnTnzzzTfYuHEjAD7OfWBgIGbOnKn0IImaxMQA/frxUj2AfQ074df2w5CmL19DazkTfYztUF2VERJC5CR3sv/8+TMqVaokeRwaGoouXbpIHjdr1gyvX79WbnREfU6fBvr3B+LikGVsgskdRuJgHQ+FDjH/+3pUT09IKSF3NU6lSpUk/eszMjJw584dtGjRQrI+KSkpz9j2RANlZQG//QZ07gzExYHVr49+w1cplOipnp6Q0kfuZO/t7Y2AgABcvHgR06dPh4mJCb799lvJ+vv378PFRfbNNERDvHkDtG8PzJ0LMAYMH44bO47iumGlwvfNwa+lI9XTE1LKyJ3s58yZAz09PbRt2xYbN27Exo0bYWBgIFn/999/o1OnTioJMioqCv7+/nB2doaxsTFcXFwQGBiYZ3hlUgzHj/PeNhcvAubmwH//AevX412G4tUwnetQoiektJG7zr5ixYq4cOECEhISYGZmBl1dXan1e/bsgZmZam6Hf/LkCUQiETZs2ABXV1c8fPgQQ4cORUpKChYvXqyS59QamZm82mbhQv64USNg927A1RUnHsbgt4MPFDocTStISOlU7Dto1WXRokVYt24dXr58Kfc+dAdtLtHRwE8/AVev8sejRwOLFgFGRgXOJ1uQ9f2prp6QklRid9CqS0JCAqysCi5BpqenS93olZiYqOqwNMehQ8CgQcDnz4ClJbBpE/DDDwD4sMUB+xUr0dMkJISUbgqPelkaREREYNWqVRg+fHiB2wUFBcHS0lLyZ29vX0IRlmIZGcDEiUC3bjzRN2sG3LkjSfQAn0/2y9dMuQ/ZuU4l3A/sTImekFJMrck+ICAAAoGgwL8nT55I7fP27Vt4eXmhV69eGDp0aIHHnz59OhISEiR/Wn8fQGQk0Lo1sGwZfzxhAnDpEvD/8xMAsueTLcygls7Un56QUk6t1TiTJk3CoEGDCtymWo5E9O7dO3h4eKBly5b4888/Cz2+oaEhDA0Nixtm2bB/PzBkCJCQAJQvD2zZAvj65tlMaj5ZOVCDLCGaQa3J3traGtbW1nJt+/btW3h4eKBJkybYvHkzdHQ0sgaq5KWnA5MnA6tX88fu7rxbpaOjZBOhiOHai0+4+vIjLjz/IPehBaDRLAnRFBrRQPv27Vu0a9cOjo6OWLx4MT58yE5Itra2aoyslIuIAH78kdfJA8DUqcAffwA57nQ+8TAGAfsfKFRHDwBmhnpY3Ks+1dMToiE0ItmfPn0aERERiIiIQNWqVaXWaWjPUdXbtQsYOhRISgIqVAC2bQO8vaU2KWr3SiN9Hdz5vSMM9OjqihBNoRHf1kGDBoExJvOP5JKaCowYwfvPJyXxBtmwsDyJXihiCAx+JPsYhejb3IESPSEahr6xZcnTp0CLFsCGDXys+V9/5cMT57oaAnj3yvdJRZtspqMbVZ0Romk0ohqHyOHff3mJPiUFsLYGtm8HOnaUuemJhzFYduZ5kZ6Get8QopmoZK/pvn4F/P2BAQN4ovfwAO7dyzfRC0UMMw+FF/nppHrfDBoEdO9e5GPJbcsWoFw51T+PPAQC4OBB/v+oKP44LIw/Dgnhj798UUtohBSEkr0mCw/nd8D+/TdPMjNn8klH7OwgFDFcffEJB+68waaLL3Hg7ltcfv4RU/feQ2ximsJPpSNQ4xj1P/4IPHtW8s8rS0wMkGPSnlLv/n3g228BIyPA3j57wLuCnD0LtGzJRz+1tQWmTePzHOS0ezcfJdXEhHfjXbRIJeErLDoa+O47HpeNDTBlSt7Yc4uP5zOyWVjwQoW/P5CcLL2NIudx507+fcxdENq/H+jUiXeYyFlIKCFUjaOJGOOl3VGjeIOsrS2wYwcv1YNX08w6HI6YBMWTen5W92mkvjHqjY35X34yMoAcw22rlCZ19U1M5MnF0xNYvx548IDfWFeuHDBsmOx97t3jjfm//sp7cL19y6sHhUJAPMLs8eM8Oa5axY//+DHv+WVszAfTUxehkCd6W1vgyhX+wzxwIO9qPG9e/vv168e3PX2ajwI7eDA/Pzt28PWKnMeoKH5fS465PiRSUniHid69+fkqYVSy1zTJyYCfH/+wpaby6pqwMKlEP/LfO0pL9H2jb+DBvsnw/saFl0g8PfmHNqfFiwE7O75+1Cj+hRH75x+gadPsUmLfvkBcXPZ6cdXH0aNA/fq85NSiBfDwYfY2uatxZs7kpcq//gKcnfk+AC/VdesGmJnxUlrv3sD79/m/OMZ4+8bevdnLGjbkr0Xs0iXA0JBXlwHS1TiF+fqVXwW0aiV/1U5GBk+Ydnb8dTk6AkFB8u2b2/bt/Hh//w3UqcN7aI0dCyxdmv8+u3bx92HGDMDVFWjblpdi16zhvbsA/p52785/BKpV4wl2+nRgwQJ+TuXVrh1/raNH88H4KlYEfv9dsWPkdOoUv9r991/+PnbpAsyZw2PPb+6Lx4+BEyf4Z+mbb3gyXrWKl87fvePbyHsehUL+wzFrltQQJBIDBvDz6ulZtNdXTJTsNcn9+7za5p9/AB0diP74A1fXbEdwTBYuP/+Ii88+IGDfAxS3Q6qZoS6W9mqAvd2cMHfPPJj/PIx/KUJCgO+/l/4ynj8PvHjB/926lSfmLVuy12dm8i/cvXs8SUZF8br+3KZMAZYsAW7e5AnYx0f6RyO3iAhg3z5+aRwWBohEPNHHxwOhobyU9vIlrwLKj0AAtGnDXxfAB4Z7/Jj/iIrHZAoN5efcxKTwE5fTly/8h1gk4rGIf6zatZP9+sVWruQjku7ezXtXbd8OODllr+/Shf+Y5fdXp072tlev8teX86qnc2d+3M+fZT9/enr2j6eYsTGQlgbcvl3wNm/eAK9e5f/aZNm6FdDTA27cAFas4An0r7+y148YUfDrzTmHxtWrQL16QI65stG5My+ZP8qnm/HVq/y9ado0e5mnJ6CjA1y/nr2NPOdx9mxedeTvr9g5KCFUjaMJGAM2bgTGjeNfuipVcH3uaox/Z46YTTeU/nSLxUMV34nj9Z3ff589vEK9etIbly/Ph2LQ1QVq1eKlvLNnsy9ThwzJ3rZaNZ7MmjXjVyg5v6iBgdmNylu38u6iBw7w0rksGRm8mkE83Mbp0/zyOjKS16kCfH2dOvwHpFkz2cdp1453VQWACxf45C22tvwHoFYt/m/btnKctRxiY/mPTPXqvCogZ5JwcJC+csgtOprv17o1/zHKMawFAJ4IU1Pz3z/nPNCxsfzKJydxIoyN5e9dbp07A8uX8yE1evfm282ezdfFxGRvM2EC/9Hy8OA/vEuWZG+T88epMPb2fGA+gQCoWZO/h8uWZX9+Zs/m1SLyiI2VTvS5X29++9jYSC/T0wOsrLL3kec8XrrEhwkv4Xp4RVDJvrRLTORVH8OHA2lpeN/KAxtW7MNPj/WVWicvNsGzRnYjbIMGQIcOPMH36sV/cHKXCOvU4YlezM5Ouprm9m1eSndw4FU54sQZHS19HHf37P9bWfEv/uPH+Qfq6Jid6AG+rb19dqIHADc3XmoTH6dOnezSoLiRtW1bfun/4QMvxbdrx/9CQviVxZUr/LEiOnbkVSC7duVtS9i2reBqmUGDeMKoWZNXFZw6Jb2+ShV+7Pz+cv84KKpTJ97YOmIEr76qUSP7hjzxeFRDh/Kql65d+etr0YJXbeTcRl4tWvBEL+buDjx/zqtEAJ6IC3q9rq7Fe73KkJTEq2g2buRVUaUUJfvS7O5doEkTYOdOZOnoYF67wWjRagKCbn4sdlWNLLYWhhjdPseXR1eXl5iPH+eJc9UqnoQiI7O3yVmSBPgXVyTi/09J4aVACwteHXHzJi+tA/nXocrL1FTxfY4d44k0LCy7qqBePf7jEhoqnexDQ3m8mZm8Z4oivvuOXyWEF6GLa+PG/PzOmcNL8L17Az17Zq9XpBrH1jZvm4X4cUENzRMn8mqo6Gjg40dePQZk10MLBLx+PjmZV9vExgLNm0tvoyyKVOMU5fXa2koXTgB+NRsfn71PYcd98YJXT/r48KsCPT3+o37oEP//ixdFeunKRtU4pRFjwLp1/FI5IwNvza0xpttU3KlSW2VPKQAw07dO3hEsBQLewNiqFW9ccnTkCXvixMIP+uQJ8OkTMH9+don71i3Z2167xkv/AL96ePYMqK3A661dG3j9mv+Jnys8nCctNzf+WFapVyDgPSeCg3m9buvWvH4+PZ1X7zRtqvgPy/z5PAl16MCvEMTPLy8LC14N9OOPPNF7efHkY2WlWDWOuzvvVZOZmb389Gn+gy2rCicngQCoXJn//7//+Dlt3Fh6G11dfqUh3sbdXfpqSx7ienGxa9d4NZb4alGRahx3d2DuXJ68xVUzp0/z85nfe+Duzj8jt2/zghUAnDvHCyzffJO9TUHn0diYVz/l9NtvvMS/YoX01aYaUbIvbRISgP/9T9JD5EJtd4zpOBYJxuYqe8ryJvoI+r5e3j7016/z+vdOnfiX5/p1Xt0hbxJ2cOCX+atW8RLaw4e8xCrL7Nm8N0+lSvyLVbGiYjdseXryUnq/frzOOSsL+PlnXk2Ts/FNlnbtgEmT+HbikmKbNvxqZMoU+WPIafFiXhXRvn12/T/AuwJWqZJ/Vc7SpbwqrFEjXiWyZw8vPYobeMXJVR59+/KeIf7+vK/8w4c8+YgnrwH4D/f06dkN0gCvxvHy4s+/fz//8dq9OzsBf/zIP5/t2vE2pM2beZyhofLHJhYdzQsOw4fz0VlXrcqu/wf45y53nXp+OnXiSX3AAN6DKDaWJ91Ro3iVFMAbggcO5J/rKlX4Z9nLi1dNrV/PE/ro0bxaSvxjV9h5NDIC6taVjkX8fuVcHh/PX6+4l8/Tp/xfW9sS6dJLyb40uXmTl+YiIwF9fURNmYGBWQ2l6zSVqJyxPga3csLo9tVlj0lvYcGrI5Yv520Hjo78iyjvTUXW1rxnzi+/8IbZxo15EpQxaQrmz+cN0M+f825zhw8r1ndeIOCl8zFjeKLW0eFf4lWrCt+3bVuemHPWzbdrx4+naH19TsuWSSf8GjX4l72gem1zc56onj/nybVZM179VJT5GywteZ3/qFG81FqxIr86y9k3PCEhO+mIHT/OS8jp6bzdJjg473u+dSsvcTPGS74hIdlVOQCv1nB25r20CjqHAwfyK5XmzfnrHTcu/3sACqOrCxw5AowcyWMyNeXdlMUNzADvDvv0qXRPr+3beYLv0IGf5x9+4J9XMXnOozwOHeJ9+MXE7RyBgbw7sYoJmBYNHSnvLOwljjFeUpg6lX8InZyAXbsQbFAF43aGFevQlkZ6GN2+OiqaG8LGzBAQAB+T02Fjzse4UfvEIyEhvEfH58+lZ0gEUnznz/NeXC9f5l9l1K4d/2FfvrwEAyt75M1rVLJXt/h43j0xOJg//v573oWrXDnYvPhU5MOKU/iCnjTBCFGDY8f4FV1hbQOkxFCyV6dr13i1TXQ0r7JYupTXM/9/tU1zZyvYWRohNiFN4d43tpZGCPRxo0RP1KO0jJVDJKgaRx1EIl73/csvvCHRxYU3gDVuDKGI4UZkPOKS0mBjboTPKRkYtYPPJpXzjRL8/+MJntXhVNEUFU1LYRUNIUTlqBqntPr4kd84c/Qof/zjj8CffwIWFjIHMLOzNMKwNs44dC9GajmV3AkhiqCbqkrSpUu8QeroUd4VbMMG3j/5/xO9rAHMYhPS8OeFSPz+XW38N7QFVvzUEP8NbYFL09prZ6LPPYZ8aSJvbE+f8q524oHFZMlv8Ddlyz0Gf2maO6CsyP25CA/nw4HkHlBQxSjZlwSRiPerbteODxlbowbv7ztsGCAQQChimHU4XGa9vHjZnKOP0dzZCt0aVoG7S4WSqaLJb3ISWZN0FGXc9KKwt+fjr+Tu11xU6vjxmD6ddxE1V+DeicmTed9weSjyw9CyJT+flpbyx6IqTk7a0TPHzY0PE1HQ6KMqQMle1eLieB/lX37hfa779+d369WvL9nkRmR8gePcMAAxCWm4ERlfAgEXgXi8b0dH/toWLeIJ588/5T8GY4VPMgHwvtS2tvw2dE0UHc37ghc08qUsZmb8pjNlyszkHQNsbVV2L4fGKO7wHYoaPJjfJS/PZ15JKNmrUkgIL2GdOsVvqd60iY+ZkXM8DwBxSfINaCbvdiWuKOOmi68Ojh/nN6oYGvJqLvFVkLMzP2cNGkiPNy+rJP7wYfaYMZUq8TsoP37MXi8S8SsNV1f+PA4O/KYhIHs0w0aN+HFz3gD011/8DksjI34H7Nq10q/hxg2+n5ERv/v27t3Cz9Xu3fw15b4TdssWHpeJCdCjBx9mIqfcpXXxTUymprzapVUrPk7Nli38bs979/jrEQiyh5wWCHiC8fXl+82dm/9UigcP8mELjIz4+EavX+f/msTvyf79/J4JExP+Gq9eld5u3z7++TA05KX4nHfKtmvH458wITvu/AgE/L3p0YM/V/Xq/IalnEJD+fkxNOR3JAcESCdW8Vj648fzm6Q6d84+FydP8vfV2JjfEBcXxz+ntWvzGw379s2e3wDg4+G3bs3fhwoV+ABxhY2H07Fj9nDcJURjkr2vry8cHBxgZGQEOzs7DBgwAO/Etx2XNkIh/8J16MAvkd3c+N2xQ4bI/BDbmBvJOEhe8m5X4ooybrpYQAC/e/bxY361ExTEfxDXr+dj1UyYwK+G8vtSfPnCv5CNGvFxd06c4INU5Rwaefp0/hy//87rS3fsyB6i9sb/DxF95gx/r/bv54+3b+d3Sc6dy2ObN4/vv3UrX5+czL/Ubm78ambmTPnGcLl4Me/wDdev81vxR4/Onojmjz/yP0ZWFq9ea9uWV59dvSqpEsSPP/KhH+rU4a8nJkZ6TP+ZM3mSFM+2JMvXr/x1b9sGXL7Mz7H4bs+C/PorPwdhYbyqsk+f7AR7+zZ/T376iT/3zJn8fIp/iPbv5/XYs2dnx12QWbP48e7f56Ny9uvHkyfAq0q9vfndx/fu8R+4TZvyntOtW/ln9vJl/nnLeY5Wr+Yjnr5+zZ9n+XL+uTl6lBfect6ZnZLCh3y4dYtXteno8HMsHhBQFgMD/uN98WJhZ1V5mIZYunQpu3r1KouKimKXL19m7u7uzN3dXaFjJCQkMAAsISFBRVEyxmJiGGvfnjFeMcHY4MGMJScXuEuWUMRazDvDnKYdYY4y/pymHWEt5p1hWUKR6uKWxc+PMV1dxkxNpf+MjPhr+/yZb9exI2PDhknv++gR3yY8XPaxz5/n6w8ezF6WlsaYiQljV65Ib+vvz1ifPvz/kZF8v7t3+eM5cxjr1El6+9ev+TZPnzKWmMiYoSFjGzfKjiP38cRcXBjbsUN62Zw5jIk/cxs2MFahAmOpqdnr162TfaycGjRgbPZs6WV9+jDm7S297McfGbO0zH4cGMj3ZYyxT5/484SEyH6OnNvmBDA2frz0MvH7IH4vN2/mj69dy97m8WO+7Pp12c8nPod//ZW9TPz+P37MH/ftyz8nOU2ZwpibW/ZjR0fGli2T/Ry5X8dvv2U/Tk7my44f549/+YWxmjUZE+X4vqxZw5iZGWNCIX/cti1jjRpJH1d8Ls6cyV4WFMSXvXiRvWz4cMY6d84/vg8f+D4PHvDH+X3GevRgbNCgwl9vIeTNaxpTsp8wYQJatGgBR0dHtGzZEgEBAbh27RoyC5rNqKSdOcMvX8+d45fJ27bxqo1CRk3U1REg0IePype73C9+HOjjpp5+8x4e2cMC5x4eWBlylnIjInipsmNH6SFst23L/7L43j1+a37O7cWDjr14wUvl6en8KkteKSl8X39/6eP+8Ud2HOIrkZwzNuUckz8/qal5Z3l6/Dh7hEV5jmVlxev8O3fmw+quWFF4SVissEHhAN4eknOyl1q1pOcFyE+OdijJBC3i4YMfP+ZVTTm1aiU9dr0icj6XqSmvXsn5XO7u0lfRrVrxq7E3b7KXiUe5LOjYlSrxqqKcQzdXqiQ9LPLz5/wqplo1Hod48pbcczbkZmwsXR2kYhrZyhUfH4/t27ejZcuW0M89nnoO6enpSE9PlzxOTExUTUBZWfzSb948Xp6vV4/XzYqTjhy86tphXf/GefrZq70/valp3gkicn5hgKKPmy4+vlhyMv/36NG8ddriUQtzS07mCW/Bgrzr7Oz42CyKEsexcWPeJJxzopaiqFix8KoteWzezNtFTpzgk6T89hsfdrdFi4L3K8o8APLK+V0UJ9qCqjKU9Vzi51P0ufI7F7lfR2HP5ePDOyds3MhHyhSJeG+xwhp94+P5DZUlRKOS/bRp07B69Wp8/foVLVq0wJEjRwrcPigoCLNmzVJtUG/f8gabCxf442HDeP2esbHCh/Kqa4eObrZSd9BqxJ2wxRk3PSc3N57Uo6PlnwqwcWPe8OfkJLuHTvXq/L04e5YPHZ2buJ0hZ+myUiX+pX35ktcFy1K7Np8LOC0tu6R+7Vrh8TZqlHdSk9q1ZY/rLs+xGjXibRLu7rxOuUUL/pqKUloWy8ri9c/iUSyfPuX19orML5Bb7dq8bjyny5d53b74B7S4ced8rn37eMFL/KNz+TLv6lq1avGPn9OnT/z8bNzIux4DvKOBPB4+lJ6YRsXUWo0TEBAAgUBQ4N+THONsT5kyBXfv3sWpU6egq6uLgQMHghUw2sP06dORkJAg+XtdUI+CojhxgjeyXLjAL/P/+4/fKFWERC+mqyOAu0uFku1PX1x9+/Ivqr8/b1TdtYtXLcgzwUlO5ua8gW/CBN549uJF9hjn4obR3EaN4iWkPn14I/iLF7w3xeDBPHEYGfExyKdOza4OunaNN9gBfKx0Y+Psht2EBL581izeWLxyJZ9I5cEDXpoW9zDq25cnkqFDefI+dowP31yYzp15g2rOpCYuoS9ezKsEVq/mj/MTGckT/NWrvAfLqVN8P3EydnLi24SF8V5JOa5u5aKvz+8DuH6dN6wOGsR/RHIOYayoSZP4D+6cOfx8bt3KX2fORm0nJ/5devtWujeVon7+mTesjhnDx+kPDubDCE+cWLShogtSvjzvgfPnn7wa8tw5+T73UVH8dXp6KjeeghS7daAY4uLi2OPHjwv8S09Pl7nv69evGQB2JXdjXgGU1kCbkcHYtGnZjbCNGjH27Fm+m2cJRexKxEd28O4bdiXiY8k3tBaVnx9j3brlXZ67UY8xxu7dY6x1a94YWqUKY/PnF3xsWcdgjDeqLV/OG9j09RmztuaNYaGhfL2sxq5nz3hjV7lyjBkbM1arFm+IFDfQCYWM/fEHbwDU12fMwYGxefOy99+4kTF7e8Z0dHjDndj27Yw1bMiYgQFj5csz1qYNY/v3Z6+/epU3hBoY8O327Su8gTYzk7HKlRk7cUJ6+aZNjFWtyuP38WFs8eL8G2hjYxnr3p0xOzv+3I6OjM2Ykd34mJbG2A8/8PMB8EZXxvj/DxyQfl5ZDbSWlvy1VKvG309PT8Zevcr/Ncl6Tz5/5svOn89etncvb5AVvweLFkkf5+pVxurX589ZUGqS9TosLbNfJ2O88bpZM35+bG359zUzM3t927aMjRsnfQxZn0nx+cgpdwP46dOM1a7N465fnz93zhhlnZ958wpu5FWAvHlNYwdCi46OhqOjI86fP492ck4woZSB0KKjeSnyyhX+eNQoXiLL3ej2//Ib74bGtSmip095W8jz56VjsumiWLOG9ws/eVLdkRB1yMjg1Ys7duRttC6CMjUQ2vXr13Hz5k20bt0a5cuXx4sXL/D777/DxcUF7vL0gFCWw4f5JW18PG9137SpwDo38Xg3uX9NYxPSMPLfO1jXvzElfEXEx/MbrCwsSs28nkUyfDivA09KUmzIBFI2REfzO+qVkOgVoRFdL01MTLB//3506NABNWvWhL+/P+rXr4/Q0FAY5tdLQ5kyMnido68vTzjiuyULSPTyjHcz63A4hCKNvLBSD39/3iaybl3+vXM0gZ4eb9CmRK+dXF35D34J04iSfb169XDu3Dn1PHlkJL/rT3yn5fjxvJtfIfOjKjLejbuLksc8KasOHFB3BIRoLI1I9mqzfz+/pTwhgd9UsmUL0K2bXLtq/Hg3hJAyRSOqcUpcejrvtvXDDzzRt2jBu7HJmeiBMjDeDSGkTKFkn1tEBB/je/Vq/njKFN7319FRocOI54/Nr5e8ALxXTnNnq2KFSwgh8qBkn9P/zwOLO3f4jRJHjvChcQsYkiE/pXq8G0KI1qFkD/DBqUaO5EPBJiXxsanDwoDvvivWYcXj3dhaSlfV2FoaUbdLQkiJogbap0+zx8UWCPht6LNmKW0mJI0d74YQUqZod7Lfvp33d01JAaytgX//5dPrKZl4vBtCCFEX7azG+fqVj4DYvz9P9O3a8WobFSR6QggpDbSzZO/hwUfDEwj41HO//178ccoJIaQU085k/+QJn1Rj+3Y+fykhhJRxWpXsxQN8JrZuzccmt7EBVDV7FSGElADxDHyFDWCssUMcF8WbN29gr8mjJRJCSD5ev36NqgXMxKVVyV4kEuHdu3cwNzeHQKDcro+JiYmwt7fH69eviz5WfgnTtJg1LV5A82LWtHgBipkxhqSkJFSuXBk6BczEpVXVODo6OgX+8imDhYWFxnzgxDQtZk2LF9C8mDUtXkC7Y7a0tCx0G+3sekkIIVqGkj0hhGgBSvZKYmhoiMDAwJKZOUtJNC1mTYsX0LyYNS1egGKWl1Y10BJCiLaikj0hhGgBSvaEEKIFKNkTQogWoGRPCCFagJK9Cvj6+sLBwQFGRkaws7PDgAED8O7dO3WHla+oqCj4+/vD2dkZxsbGcHFxQWBgIDIyMtQdWoHmzp2Lli1bwsTEBOXKlVN3OHmsWbMGTk5OMDIywjfffIMbN26oO6QCXbhwAT4+PqhcuTIEAgEOHjyo7pAKFBQUhGbNmsHc3Bw2Njbo3r07nj59qu6w8rVu3TrUr19fciOVu7s7jh8/XmLPT8leBTw8PLB79248ffoU+/btw4sXL9CzZ091h5WvJ0+eQCQSYcOGDXj06BGWLVuG9evX45dfflF3aAXKyMhAr169MHLkSHWHkseuXbswceJEBAYG4s6dO2jQoAE6d+6MuLg4dYeWr5SUFDRo0ABr1qxRdyhyCQ0NxahRo3Dt2jWcPn0amZmZ6NSpE1JSUtQdmkxVq1bF/Pnzcfv2bdy6dQvt27dHt27d8OjRo5IJgBGVCw4OZgKBgGVkZKg7FLktXLiQOTs7qzsMuWzevJlZWlqqOwwpzZs3Z6NGjZI8FgqFrHLlyiwoKEiNUckPADtw4IC6w1BIXFwcA8BCQ0PVHYrcypcvz/76668SeS4q2atYfHw8tm/fjpYtW0JfX1/d4cgtISEBVlZW6g5DI2VkZOD27dvw9PSULNPR0YGnpyeuXr2qxsjKtoSEBADQiM+tUCjEzp07kZKSAnd39xJ5Tkr2KjJt2jSYmpqiQoUKiI6ORnBwsLpDkltERARWrVqF4cOHqzsUjfTx40cIhUJUqlRJanmlSpUQGxurpqjKNpFIhPHjx6NVq1aoW7euusPJ14MHD2BmZgZDQ0OMGDECBw4cgJubW4k8NyV7OQUEBEAgEBT49+TJE8n2U6ZMwd27d3Hq1Cno6upi4MCBhU4uoO6YAeDt27fw8vJCr169MHTo0BKNt6gxEzJq1Cg8fPgQO3fuVHcoBapZsybCwsJw/fp1jBw5En5+fggPDy+R56bhEuT04cMHfPr0qcBtqlWrBgMDgzzLxZOmXLlypcQu2QDFY3737h3atWuHFi1aYMuWLQWOja0qRTnPW7Zswfjx4/HlyxcVRyefjIwMmJiYYO/evejevbtkuZ+fH758+aIRV3kCgQAHDhyQir+0Gj16NIKDg3HhwgU4OzurOxyFeHp6wsXFBRs2bFD5c2nVePbFYW1tDWtr6yLtKxKJAADp6enKDKlQisT89u1beHh4oEmTJti8ebNaEj1QvPNcWhgYGKBJkyY4e/asJFmKRCKcPXsWo0ePVm9wZQhjDGPGjMGBAwcQEhKicYke4J+LksoLlOyV7Pr167h58yZat26N8uXL48WLF/j999/h4uJSoqV6Rbx9+xbt2rWDo6MjFi9ejA8fPkjW2draqjGygkVHRyM+Ph7R0dEQCoUICwsDALi6usLMzEytsU2cOBF+fn5o2rQpmjdvjuXLlyMlJQWDBw9Wa1wFSU5ORkREhORxZGQkwsLCYGVlBQcHBzVGJtuoUaOwY8cOBAcHw9zcXNIeYmlpCWNjYzVHl9f06dPRpUsXODg4ICkpCTt27EBISAhOnjxZMgGUSJ8fLXL//n3m4eHBrKysmKGhIXNycmIjRoxgb968UXdo+dq8eTMDIPOvNPPz85MZ8/nz59UdGmOMsVWrVjEHBwdmYGDAmjdvzq5du6bukAp0/vx5mefTz89P3aHJlN9ndvPmzeoOTaYhQ4YwR0dHZmBgwKytrVmHDh3YqVOnSuz5qc6eEEK0APXGIYQQLUDJnhBCtAAle0II0QKU7AkhRAtQsieEEC1AyZ4QQrQAJXtCCNEClOwJIUQLULInKhESEgKBQFBqBieTl7Kn43NycsLy5cuVdjx1iYqKgkAgkAxJoanvrzajZE8UVtgQxDNnzlR3iIWaOXMmGjZsmGd5TEwMunTpUqKxxMfHY/z48XB0dISBgQEqV66MIUOGIDo6ukTjEBs0aFCe0S7t7e0RExNTqseKJwWjgdCIwmJiYiT/37VrF2bMmCE10bOZmRlu3bqljtCQkZEhc5hpeZX0wG/x8fFo0aIFDAwMsH79etSpUwdRUVH47bff0KxZM1y9ehXVqlUr0Zhk0dXVLdWD4hE5lNgoPKRMym/+V/GgWmfOnGFNmjRhxsbGzN3dnT158kRqu4MHD7JGjRoxQ0ND5uzszGbOnMkyMzMl61+9esV8fX2ZqakpMzc3Z7169WKxsbGS9YGBgaxBgwZs48aNzMnJiQkEAsYYY58/f2b+/v6sYsWKzNzcnHl4eLCwsDBJzMhn8Czkmnv19evX7KeffmLly5dnJiYmrEmTJpIBzSIiIpivry+zsbFhpqamrGnTpuz06dNSr8/R0ZEtW7Ys3/M3YsQIZmpqymJiYqSWf/36lVWpUoV5eXkVeKwGDRqwwMBAyeMlS5awunXrMhMTE1a1alU2cuRIlpSUJFkvfr9OnDjBatWqxUxNTVnnzp3Zu3fvJOcz97k5f/48i4yMZADY3bt3GWPZ7+/nz58lx7548SJr3bo1MzIyYlWrVmVjxoxhycnJkvVr1qxhrq6uzNDQkNnY2LAffvgh3/NClI+qcYhK/frrr1iyZAlu3boFPT09DBkyRLLu4sWLGDhwIMaNG4fw8HBs2LABW7Zswdy5cwHwsb67deuG+Ph4hIaG4vTp03j58iV+/PFHqeeIiIjAvn37sH//fkmdcq9evRAXF4fjx4/j9u3baNy4MTp06ID4+Hj8+OOPmDRpEurUqYOYmBjExMTkOSbAh/xt27Yt3r59i0OHDuHevXuYOnWqZH6C5ORkeHt74+zZs7h79y68vLzg4+Mjd/WLSCTCzp070a9fvzylZmNjY/z88884efIk4uPj5T7fOjo6WLlyJR49eoStW7fi3LlzmDp1qtQ2X79+xeLFi/HPP//gwoULiI6OxuTJkwEAkydPRu/eveHl5SU5Ny1btiz0eV+8eAEvLy/88MMPuH//Pnbt2oVLly5Jxu+/desWxo4di9mzZ+Pp06c4ceIE2rRpI/frIkqg7l8botnkKdmLHT16lAFgqampjDHGOnTowObNmye13z///MPs7OwYY4ydOnWK6erqsujoaMn6R48eMQDsxo0bjDFeEtXX12dxcXGSbS5evMgsLCxYWlqa1LFdXFzYhg0bJPs1aNAgT9zIUbLfsGEDMzc3Z58+fZLzbDBWp04dtmrVKsnjgkr2sbGxDEC+6/fv388AsOvXr+d7rNwl+9z27NnDKlSoIHksvqqJiIiQLFuzZg2rVKmS5LGfnx/r1q2b1HEKK9n7+/uzYcOGSe1z8eJFpqOjw1JTU9m+ffuYhYUFS0xMzDdWolpUZ09Uqn79+pL/29nZAQDi4uLg4OCAe/fu4fLly5KSPAAIhUKkpaXh69evePz4Mezt7WFvby9Z7+bmhnLlyuHx48do1qwZAMDR0VFqdqt79+4hOTkZFSpUkIolNTUVL168kDv2sLAwNGrUCFZWVjLXJycnY+bMmTh69ChiYmKQlZWF1NRUhRtWWSGjjCvSBnHmzBkEBQXhyZMnSExMRFZWluR8mpiYAABMTEzg4uIi2cfOzg5xcXEKxZzbvXv3cP/+fWzfvl2yjDEGkUiEyMhIdOzYEY6OjqhWrRq8vLzg5eWFHj16SGIiqkfJnqiUvr6+5P8CgQAApKpBZs2ahe+//z7PfkZGRnI/h6mpqdTj5ORk2NnZISQkJM+25cqVk/u4hc12NHnyZJw+fRqLFy+Gq6srjI2N0bNnT2RkZMh1fGtra8kPlyyPHz+Gnp6eZLo9HR2dPD8MmZmZkv9HRUWha9euGDlyJObOnQsrKytcunQJ/v7+knlxAen3BODvS2E/OIVJTk7G8OHDMXbs2DzrHBwcYGBggDt37iAkJASnTp3CjBkzMHPmTNy8eVOh94QUHSV7ojaNGzfG06dP4erqKnN97dq18fr1a7x+/VpSug8PD8eXL1/g5uZW4HFjY2Ohp6cHJycnmdsYGBhAKBQWGF/9+vXx119/IT4+Xmbp/vLlyxg0aBB69OgBgCe8qKioAo+Zk46ODnr37o3t27dj9uzZUvX2qampWLt2LXr06AFLS0sA/MchZ0+oxMREREZGSh7fvn0bIpEIS5YskcwhvHv3brnjEZPn3OTWuHFjhIeH5/teAoCenh48PT3h6emJwMBAlCtXDufOnZP5Y0+UjxpoidrMmDED27Ztw6xZs/Do0SM8fvwYO3fuxG+//QYA8PT0RL169dCvXz/cuXMHN27cwMCBA9G2bVs0bdo03+N6enrC3d0d3bt3x6lTpxAVFYUrV67g119/lXQJdXJyksyx+vHjR5mTPvfp0we2trbo3r07Ll++jJcvX2Lfvn24evUqAKB69eqSRuF79+6hb9++kqsWec2dOxe2trbo2LEjjh8/jtevX+PChQvo3LkzdHR0sGLFCsm27du3xz///IOLFy/iwYMH8PPzg66urmS9q6srMjMzsWrVKrx8+RL//PMP1q9fr1A84nNz//59PH36FB8/fpS6esjPtGnTcOXKFYwePRphYWF4/vw5goODJQ20R44cwcqVKxEWFoZXr15h27ZtEIlEqFmzpsLxkaKhZE/UpnPnzjhy5AhOnTqFZs2aoUWLFli2bBkcHR0B8OqF4OBglC9fHm3atIGnpyeqVauGXbt2FXhcgUCAY8eOoU2bNhg8eDBq1KiBn376Ca9evUKlSpUAAD/88AO8vLzg4eEBa2tr/Pfff3mOY2BggFOnTsHGxgbe3t6oV68e5s+fL0mwS5cuRfny5dGyZUv4+Pigc+fOaNy4sULnoGLFirh27Ro8PDwwfPhwODs7o23btpIJ1MXtHACfsLpt27bo2rUrvvvuO3Tv3l2q7r1BgwZYunQpFixYgLp162L79u0ICgpSKB4AGDp0KGrWrImmTZvC2toaly9fLnSf+vXrIzQ0FM+ePcO3336LRo0aYcaMGahcuTIAXn22f/9+tG/fHrVr18b69evx33//oU6dOgrHR4qG5qAlpJTZtGkTfv75Z+zatSvPnayEFBWV7AkpZfz9/bFz5048fvwYqamp6g6HlBFUsieEEC1AJXtCCNEClOwJIUQLULInhBAtQMmeEEK0ACV7QgjRApTsCSFEC1CyJ4QQLUDJnhBCtAAle0II0QL/B3GOd3MoHfBcAAAAAElFTkSuQmCC", "text/plain": [ "<Figure size 400x300 with 1 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = qqplot_perso((better_filtered_data[\"duration\"]))\n", "fig.set_size_inches(4, 3)\n", "plt.show()\n", "fig = qqplot_perso(np.log(better_filtered_data[\"max_f\"]))\n", "fig.set_size_inches(4, 3)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 10, "id": "6b52bda7", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " Results: Generalized linear model\n", "===============================================================\n", "Model: GLM AIC: 3023.6197 \n", "Link Function: Log BIC: -2448.2413\n", "Dependent Variable: max_f Log-Likelihood: -1509.8 \n", "Date: 2024-07-10 14:52 LL-Null: -1511.2 \n", "No. Observations: 411 Deviance: 13.363 \n", "Df Model: 1 Pearson chi2: 13.5 \n", "Df Residuals: 409 Scale: 1.0000 \n", "Method: IRLS \n", "----------------------------------------------------------------\n", " Coef. Std.Err. z P>|z| [0.025 0.975]\n", "----------------------------------------------------------------\n", "Intercept 2.4949 0.1007 24.7740 0.0000 2.2975 2.6922\n", "duration 0.2856 0.1721 1.6598 0.0969 -0.0516 0.6228\n", "===============================================================\n", "\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/home/loic/anaconda3/envs/VIRTUBA/lib/python3.9/site-packages/statsmodels/genmod/families/family.py:1367: ValueWarning: Negative binomial dispersion parameter alpha not set. Using default value alpha=1.0.\n", " warnings.warn(\"Negative binomial dispersion parameter alpha not \"\n" ] } ], "source": [ "mod2 = glm(\n", " \"max_f ~ duration + 1\",\n", " data=better_filtered_data,\n", " family=sm.families.NegativeBinomial()).fit()\n", "# best AIC for Gamma, best BIC for NegativeBinomial\n", "print(mod2.summary2())" ] }, { "cell_type": "markdown", "id": "6075fc44", "metadata": {}, "source": [ "No effect (statistically) of the duration according to this model. It comes at no surprise as the correlation coefficient computed in the draftman's plot are small." ] }, { "cell_type": "code", "execution_count": 11, "id": "a84072f9", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " Results: Generalized linear model\n", "===============================================================\n", "Model: GLM AIC: 3091.3517 \n", "Link Function: Log BIC: -2445.2816\n", "Dependent Variable: SNR Log-Likelihood: -1543.7 \n", "Date: 2024-07-10 14:52 LL-Null: -1545.7 \n", "No. Observations: 411 Deviance: 16.323 \n", "Df Model: 1 Pearson chi2: 17.2 \n", "Df Residuals: 409 Scale: 1.0000 \n", "Method: IRLS \n", "----------------------------------------------------------------\n", " Coef. Std.Err. z P>|z| [0.025 0.975]\n", "----------------------------------------------------------------\n", "Intercept 2.5495 0.1004 25.3824 0.0000 2.3526 2.7463\n", "duration 0.3464 0.1716 2.0190 0.0435 0.0101 0.6826\n", "===============================================================\n", "\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/home/loic/anaconda3/envs/VIRTUBA/lib/python3.9/site-packages/statsmodels/genmod/families/family.py:1367: ValueWarning: Negative binomial dispersion parameter alpha not set. Using default value alpha=1.0.\n", " warnings.warn(\"Negative binomial dispersion parameter alpha not \"\n" ] } ], "source": [ "better_filtered_data[[\"log_SNR\", \"log_duration\"]] = np.log(better_filtered_data[[\"SNR\", \"duration\"]])\n", "better_filtered_data.reset_index(inplace=True, drop=True)\n", "mod1 = glm(\n", " \"SNR ~ duration + 1\",\n", " data=better_filtered_data,\n", " family=sm.families.NegativeBinomial()).fit()\n", "# best AIC for Gamma, best BIC for NegativeBinomial\n", "print(mod1.summary2())" ] }, { "cell_type": "markdown", "id": "d7930a1d", "metadata": {}, "source": [ "## Whistles VS Orientation" ] }, { "cell_type": "code", "execution_count": 12, "id": "0afea1c6", "metadata": {}, "outputs": [ { "data": { "text/html": [ "<div>\n", "<style scoped>\n", " .dataframe tbody tr th:only-of-type {\n", " vertical-align: middle;\n", " }\n", "\n", " .dataframe tbody tr th {\n", " vertical-align: top;\n", " }\n", "\n", " .dataframe thead th {\n", " text-align: right;\n", " }\n", "</style>\n", "<table border=\"1\" class=\"dataframe\">\n", " <thead>\n", " <tr style=\"text-align: right;\">\n", " <th></th>\n", " <th>datetime</th>\n", " <th>duration</th>\n", " <th>SNR</th>\n", " <th>signal_dB</th>\n", " <th>angular_speeds</th>\n", " <th>max_f</th>\n", " <th>min_f</th>\n", " <th>mean_f</th>\n", " <th>ID</th>\n", " <th>n_harmonics</th>\n", " <th>abs_angular_speeds</th>\n", " <th>log_SNR</th>\n", " <th>log_duration</th>\n", " <th>Orientation</th>\n", " </tr>\n", " </thead>\n", " <tbody>\n", " <tr>\n", " <th>0</th>\n", " <td>2021-07-17 15:26:02</td>\n", " <td>0.503994</td>\n", " <td>14.244876</td>\n", " <td>-73.021835</td>\n", " <td>NaN</td>\n", " <td>13.237073</td>\n", " <td>11.894634</td>\n", " <td>12.595339</td>\n", " <td>Line1_20217171526</td>\n", " <td>0</td>\n", " <td>NaN</td>\n", " <td>2.656397</td>\n", " <td>-0.685192</td>\n", " <td>unknown</td>\n", " </tr>\n", " <tr>\n", " <th>1</th>\n", " <td>2021-07-17 15:26:02</td>\n", " <td>0.391995</td>\n", " <td>11.187649</td>\n", " <td>-75.223240</td>\n", " <td>NaN</td>\n", " <td>12.643902</td>\n", " <td>10.958049</td>\n", " <td>11.845575</td>\n", " <td>Line2_20217171526</td>\n", " <td>0</td>\n", " <td>NaN</td>\n", " <td>2.414810</td>\n", " <td>-0.936506</td>\n", " <td>unknown</td>\n", " </tr>\n", " <tr>\n", " <th>2</th>\n", " <td>2021-07-17 15:26:02</td>\n", " <td>0.255997</td>\n", " <td>12.564945</td>\n", " <td>-74.969270</td>\n", " <td>NaN</td>\n", " <td>13.205854</td>\n", " <td>12.300488</td>\n", " <td>12.665366</td>\n", " <td>Line3_20217171526</td>\n", " <td>0</td>\n", " <td>NaN</td>\n", " <td>2.530911</td>\n", " <td>-1.362590</td>\n", " <td>unknown</td>\n", " </tr>\n", " <tr>\n", " <th>3</th>\n", " <td>2021-07-17 15:26:02</td>\n", " <td>0.271997</td>\n", " <td>13.117639</td>\n", " <td>-72.367035</td>\n", " <td>NaN</td>\n", " <td>14.017561</td>\n", " <td>12.456585</td>\n", " <td>13.215954</td>\n", " <td>Line4_20217171526</td>\n", " <td>0</td>\n", " <td>NaN</td>\n", " <td>2.573958</td>\n", " <td>-1.301966</td>\n", " <td>unknown</td>\n", " </tr>\n", " <tr>\n", " <th>4</th>\n", " <td>2021-07-17 15:26:02</td>\n", " <td>0.503994</td>\n", " <td>16.225741</td>\n", " <td>-70.029130</td>\n", " <td>NaN</td>\n", " <td>11.988293</td>\n", " <td>8.991220</td>\n", " <td>10.175579</td>\n", " <td>Line6_20217171526</td>\n", " <td>0</td>\n", " <td>NaN</td>\n", " <td>2.786599</td>\n", " <td>-0.685192</td>\n", " <td>unknown</td>\n", " </tr>\n", " </tbody>\n", "</table>\n", "</div>" ], "text/plain": [ " datetime duration SNR signal_dB angular_speeds \\\n", "0 2021-07-17 15:26:02 0.503994 14.244876 -73.021835 NaN \n", "1 2021-07-17 15:26:02 0.391995 11.187649 -75.223240 NaN \n", "2 2021-07-17 15:26:02 0.255997 12.564945 -74.969270 NaN \n", "3 2021-07-17 15:26:02 0.271997 13.117639 -72.367035 NaN \n", "4 2021-07-17 15:26:02 0.503994 16.225741 -70.029130 NaN \n", "\n", " max_f min_f mean_f ID n_harmonics \\\n", "0 13.237073 11.894634 12.595339 Line1_20217171526 0 \n", "1 12.643902 10.958049 11.845575 Line2_20217171526 0 \n", "2 13.205854 12.300488 12.665366 Line3_20217171526 0 \n", "3 14.017561 12.456585 13.215954 Line4_20217171526 0 \n", "4 11.988293 8.991220 10.175579 Line6_20217171526 0 \n", "\n", " abs_angular_speeds log_SNR log_duration Orientation \n", "0 NaN 2.656397 -0.685192 unknown \n", "1 NaN 2.414810 -0.936506 unknown \n", "2 NaN 2.530911 -1.362590 unknown \n", "3 NaN 2.573958 -1.301966 unknown \n", "4 NaN 2.786599 -0.685192 unknown " ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# add categories\n", "better_filtered_data[\"Orientation\"] = [\n", " \"unknown\" if boolean\n", " else \"on-axis\"\n", " for boolean in np.isnan(better_filtered_data[\"angular_speeds\"])\n", "]\n", "\n", "better_filtered_data.head()" ] }, { "cell_type": "code", "execution_count": 13, "id": "77259e90", "metadata": {}, "outputs": [], "source": [ "# local function : CDF curves\n", "def cdf_with_thresholds(df, metric, category, unit=\"\", threshold=0.5, verbose=True, hue_order=None):\n", " histplot = sns.kdeplot(\n", " data=df, \n", " cumulative=True, common_norm=False,\n", " x=metric, hue=category,\n", " hue_order=hue_order\n", " )\n", " for l, line in enumerate(histplot.get_lines()):\n", " curve = line.get_xydata()\n", " # value for 50% density\n", " x50 = np.interp(threshold, curve[:,1], curve[:,0])\n", " plt.text(\n", " .66, (l+1)/20,\n", " f\"X = {x50:.2f}\",\n", " color = line.get_color(),\n", " transform=histplot.get_figure().get_axes()[0].transAxes\n", " )\n", " plt.text(\n", " .66, (l+2)/20,\n", " f\"P({metric} > X) = {threshold*100:.0f}%\",\n", " transform=histplot.get_figure().get_axes()[0].transAxes\n", " )\n", " plt.xlabel(f\"{metric} {'('+unit+')' if len(unit)>0 else ''}\")\n", "\n", " if verbose:\n", " sample_args = tuple(df.groupby(category)[metric].apply(list).reset_index()[metric])\n", " if len(sample_args) == 2:\n", " u, p = stats.mannwhitneyu(sample_args[0], sample_args[1])\n", " print(f\"Mann-Whitney U test: statistic={u:.2f}, pvalue={p:.2g}\")\n", " else:\n", " \n", " h, p = stats.kruskal(*sample_args)\n", " print(f\"Kruskal-Wallis test: statistic={h:.2f}, pvalue={p:.2g}\") \n", "\n", " return histplot" ] }, { "cell_type": "markdown", "id": "8d87f9be", "metadata": {}, "source": [ "### SNR VS orientation" ] }, { "cell_type": "code", "execution_count": 36, "id": "6c0e6591", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "<Figure size 300x600 with 1 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# # normality ?\n", "# qqplot_perso(better_filtered_data[\"SNR\"])\n", "# plt.show()\n", "# Nope. So KW is good.\n", "\n", "# SNR \n", "# cdfplot = cdf_with_thresholds(\n", "# better_filtered_data, \"SNR\", \"Orientation\", \n", "# hue_order=[\"on-axis\",\"unknown\"])\n", "# plt.xlabel(\"SNR (dB)\")\n", "# plt.show()\n", "# cdfplot.get_figure().savefig(os.path.join(output_img, \"SNR_orientation.pdf\"))\n", "\n", "fig, ax = plt.subplots(1,1,figsize=(3,6))\n", "sns.boxplot(\n", " data=better_filtered_data, \n", " y=\"SNR\", fill=False,\n", " x=\"Orientation\", hue=\"Orientation\",\n", " hue_order=[\"unknown\",\"on-axis\"],\n", " order=[\"on-axis\",\"unknown\"],\n", " ax=ax\n", ")\n", "\n", "plt.ylabel(\"SNR (dB)\", fontsize=15)\n", "plt.xlabel(\"Orientation\", fontsize=15)\n", "ax.tick_params(which=\"both\", labelsize=12)\n", "plt.ylim((9, 33))\n", "fig.tight_layout()\n", "plt.show()\n", "fig.savefig(os.path.join(output_img, \"SNR_orientation_box.pdf\"))" ] }, { "cell_type": "markdown", "id": "d24b3bd8", "metadata": {}, "source": [ "Interesting : there is a significant difference between SNR emitted by on-axis dolphins VS unknown (most probably off-axis) dolphins. Let's investigate further by making subsets of the 'on-axis' orientation. Maybe more low-frequencies in on-axis emitted whistles ?" ] }, { "cell_type": "markdown", "id": "91abd71d", "metadata": {}, "source": [ "### Mean frequency VS orientation" ] }, { "cell_type": "code", "execution_count": 37, "id": "ec951f06", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "<Figure size 300x600 with 1 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# cdfplot = cdf_with_thresholds(\n", "# better_filtered_data, \"mean_f\", \"Orientation\", \n", "# hue_order=[\"on-axis\",\"unknown\"])\n", "# plt.xlabel(\"Mean frequency (kHz)\")\n", "# plt.show()\n", "# cdfplot.get_figure().savefig(os.path.join(output_img, \"mean-freq_orientation.pdf\"))\n", "\n", "fig, ax = plt.subplots(1,1,figsize=(3,6))\n", "sns.boxplot(\n", " data=better_filtered_data, \n", " y=\"mean_f\", fill=False,\n", " x=\"Orientation\", hue=\"Orientation\",\n", " hue_order=[\"unknown\",\"on-axis\"],\n", " order=[\"on-axis\",\"unknown\"],\n", " ax=ax\n", ")\n", "plt.ylabel(\"Mean frequency (kHz)\", fontsize=15)\n", "plt.xlabel(\"Orientation\", fontsize=15)\n", "ax.tick_params(which=\"both\", labelsize=12)\n", "plt.ylim((6, 23))\n", "fig.tight_layout()\n", "plt.show()\n", "fig.savefig(os.path.join(output_img, \"mean-freq_orientation_box.pdf\"))" ] }, { "cell_type": "markdown", "id": "a881d506", "metadata": {}, "source": [ "## Frequencies\n", "In published papers, diffusion of whistles is shown in function of frequency ranges. Can we do the same ?" ] }, { "cell_type": "code", "execution_count": 16, "id": "ffcdb05a", "metadata": {}, "outputs": [ { "data": { "text/html": [ "<div>\n", "<style scoped>\n", " .dataframe tbody tr th:only-of-type {\n", " vertical-align: middle;\n", " }\n", "\n", " .dataframe tbody tr th {\n", " vertical-align: top;\n", " }\n", "\n", " .dataframe thead th {\n", " text-align: right;\n", " }\n", "</style>\n", "<table border=\"1\" class=\"dataframe\">\n", " <thead>\n", " <tr style=\"text-align: right;\">\n", " <th></th>\n", " <th>datetime</th>\n", " <th>duration</th>\n", " <th>SNR</th>\n", " <th>signal_dB</th>\n", " <th>angular_speeds</th>\n", " <th>max_f</th>\n", " <th>min_f</th>\n", " <th>mean_f</th>\n", " <th>ID</th>\n", " <th>n_harmonics</th>\n", " <th>abs_angular_speeds</th>\n", " <th>log_SNR</th>\n", " <th>log_duration</th>\n", " <th>Orientation</th>\n", " <th>Freq. range</th>\n", " </tr>\n", " </thead>\n", " <tbody>\n", " <tr>\n", " <th>0</th>\n", " <td>2021-07-17 15:26:02</td>\n", " <td>0.503994</td>\n", " <td>14.244876</td>\n", " <td>-73.021835</td>\n", " <td>NaN</td>\n", " <td>13.237073</td>\n", " <td>11.894634</td>\n", " <td>12.595339</td>\n", " <td>Line1_20217171526</td>\n", " <td>0</td>\n", " <td>NaN</td>\n", " <td>2.656397</td>\n", " <td>-0.685192</td>\n", " <td>unknown</td>\n", " <td>12-15 kHz</td>\n", " </tr>\n", " <tr>\n", " <th>1</th>\n", " <td>2021-07-17 15:26:02</td>\n", " <td>0.391995</td>\n", " <td>11.187649</td>\n", " <td>-75.223240</td>\n", " <td>NaN</td>\n", " <td>12.643902</td>\n", " <td>10.958049</td>\n", " <td>11.845575</td>\n", " <td>Line2_20217171526</td>\n", " <td>0</td>\n", " <td>NaN</td>\n", " <td>2.414810</td>\n", " <td>-0.936506</td>\n", " <td>unknown</td>\n", " <td>8-12 kHz</td>\n", " </tr>\n", " <tr>\n", " <th>2</th>\n", " <td>2021-07-17 15:26:02</td>\n", " <td>0.255997</td>\n", " <td>12.564945</td>\n", " <td>-74.969270</td>\n", " <td>NaN</td>\n", " <td>13.205854</td>\n", " <td>12.300488</td>\n", " <td>12.665366</td>\n", " <td>Line3_20217171526</td>\n", " <td>0</td>\n", " <td>NaN</td>\n", " <td>2.530911</td>\n", " <td>-1.362590</td>\n", " <td>unknown</td>\n", " <td>12-15 kHz</td>\n", " </tr>\n", " <tr>\n", " <th>3</th>\n", " <td>2021-07-17 15:26:02</td>\n", " <td>0.271997</td>\n", " <td>13.117639</td>\n", " <td>-72.367035</td>\n", " <td>NaN</td>\n", " <td>14.017561</td>\n", " <td>12.456585</td>\n", " <td>13.215954</td>\n", " <td>Line4_20217171526</td>\n", " <td>0</td>\n", " <td>NaN</td>\n", " <td>2.573958</td>\n", " <td>-1.301966</td>\n", " <td>unknown</td>\n", " <td>12-15 kHz</td>\n", " </tr>\n", " <tr>\n", " <th>4</th>\n", " <td>2021-07-17 15:26:02</td>\n", " <td>0.503994</td>\n", " <td>16.225741</td>\n", " <td>-70.029130</td>\n", " <td>NaN</td>\n", " <td>11.988293</td>\n", " <td>8.991220</td>\n", " <td>10.175579</td>\n", " <td>Line6_20217171526</td>\n", " <td>0</td>\n", " <td>NaN</td>\n", " <td>2.786599</td>\n", " <td>-0.685192</td>\n", " <td>unknown</td>\n", " <td>8-12 kHz</td>\n", " </tr>\n", " </tbody>\n", "</table>\n", "</div>" ], "text/plain": [ " datetime duration SNR signal_dB angular_speeds \\\n", "0 2021-07-17 15:26:02 0.503994 14.244876 -73.021835 NaN \n", "1 2021-07-17 15:26:02 0.391995 11.187649 -75.223240 NaN \n", "2 2021-07-17 15:26:02 0.255997 12.564945 -74.969270 NaN \n", "3 2021-07-17 15:26:02 0.271997 13.117639 -72.367035 NaN \n", "4 2021-07-17 15:26:02 0.503994 16.225741 -70.029130 NaN \n", "\n", " max_f min_f mean_f ID n_harmonics \\\n", "0 13.237073 11.894634 12.595339 Line1_20217171526 0 \n", "1 12.643902 10.958049 11.845575 Line2_20217171526 0 \n", "2 13.205854 12.300488 12.665366 Line3_20217171526 0 \n", "3 14.017561 12.456585 13.215954 Line4_20217171526 0 \n", "4 11.988293 8.991220 10.175579 Line6_20217171526 0 \n", "\n", " abs_angular_speeds log_SNR log_duration Orientation Freq. range \n", "0 NaN 2.656397 -0.685192 unknown 12-15 kHz \n", "1 NaN 2.414810 -0.936506 unknown 8-12 kHz \n", "2 NaN 2.530911 -1.362590 unknown 12-15 kHz \n", "3 NaN 2.573958 -1.301966 unknown 12-15 kHz \n", "4 NaN 2.786599 -0.685192 unknown 8-12 kHz " ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "freq_categories = [\n", " [5000, 8000],\n", " [8000, 12000],\n", " [12000, 15000],\n", " [15000, np.inf],\n", "]\n", "categories = []\n", "for freq in better_filtered_data.mean_f:\n", " freq = freq*1000\n", " for f_range in freq_categories:\n", " if (freq >= f_range[0]) and (freq < f_range[1]):\n", " if f_range == freq_categories[-1]:\n", " categories += [str(f_range[0]//1000)+\"+ kHz\"]\n", " else:\n", " categories += [\n", " \"-\".join((np.array(f_range)//1000).astype(int).astype(str)) +\n", " \" kHz\"\n", " ]\n", "better_filtered_data[\"Freq. range\"] = categories\n", "\n", "freq_range_names = [\n", " str(freq_range[0]//1000) + \"-\" + str(freq_range[1]//1000) + \" kHz\"\n", " if (freq_range[1] != np.inf) else\n", " str(freq_range[0]//1000) + \"+ kHz\"\n", " for freq_range in freq_categories\n", "]\n", "\n", "better_filtered_data.head()" ] }, { "cell_type": "code", "execution_count": 17, "id": "2d14971d", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "<Figure size 640x480 with 1 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.histplot(\n", " data=better_filtered_data,\n", " x=\"Orientation\", hue=\"Freq. range\",\n", " hue_order=freq_range_names,\n", " fill=True, stat=\"density\", multiple=\"dodge\",\n", " edgecolor=\"white\", discrete=True, shrink=0.66\n", ")\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "c91caa7e", "metadata": {}, "source": [ "## Sub-orientations" ] }, { "cell_type": "code", "execution_count": 18, "id": "1c7d5c84", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(array(['< 2.5°', '> 5°', '[2.5, 5]°'], dtype=object), array([121, 33, 34]))\n" ] } ], "source": [ "orientation_limits = [\n", " [0, 2.5],\n", " [2.5, 5],\n", " [5, np.inf],\n", "]\n", "orientation_names = ['< 2.5°', '[2.5, 5]°', '> 5°']\n", "\n", "categories = []\n", "for angle in better_filtered_data.abs_angular_speeds:\n", " if np.isnan(angle):\n", " categories += [\"unknown\"]\n", " else:\n", " for i, angle_range in enumerate(orientation_limits):\n", " if (angle >= angle_range[0]) and (angle < angle_range[1]):\n", " categories += [orientation_names[i]]\n", "\n", "better_filtered_data[\"Orientations\"] = categories\n", "data_without_unknowns = better_filtered_data.copy()\n", "data_without_unknowns = data_without_unknowns.dropna(how=\"any\")\n", "\n", "print(np.unique(data_without_unknowns[\"Orientations\"], return_counts=True))" ] }, { "cell_type": "code", "execution_count": 33, "id": "740aeff1", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "<Figure size 400x600 with 1 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# cdfplot = cdf_with_thresholds(\n", "# data_without_unknowns, \"SNR\", \"Orientations\", \n", "# hue_order=['< 2.5°', '[2.5, 5]°', '> 5°']\n", "# )\n", "# plt.xlabel(\"SNR (dB)\")\n", "# plt.show()\n", "# cdfplot.get_figure().savefig(os.path.join(output_img, \"SNR_orientations.pdf\"))\n", "\n", "fig, ax = plt.subplots(figsize=(4,6))\n", "sns.boxplot(\n", " data=data_without_unknowns, \n", " y=\"SNR\", fill=False,\n", " x=\"Orientations\", hue=\"Orientations\",\n", " hue_order=['< 2.5°', '[2.5, 5]°', '> 5°'],\n", " order=['< 2.5°', '[2.5, 5]°', '> 5°'],\n", " ax=ax,\n", " palette=[\"xkcd:light orange\", \"xkcd:orange\", \"xkcd:dark orange\"],\n", ")\n", "ax.set_ylabel(\"SNR (dB)\", fontsize=15)\n", "ax.set_xlabel(\"On-axis deviations\", fontsize=15)\n", "ax.tick_params(which=\"both\", labelsize=12)\n", "plt.ylim((9, 33))\n", "fig.tight_layout()\n", "plt.show()\n", "fig.savefig(os.path.join(output_img, \"SNR_orientations_box.pdf\"))\n" ] }, { "cell_type": "code", "execution_count": 35, "id": "8526d1c7", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "<Figure size 400x600 with 1 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# cdfplot = cdf_with_thresholds(\n", "# data_without_unknowns, \"mean_f\", \"Orientations\", \n", "# hue_order=['< 2.5°', '[2.5, 5]°', '> 5°'])\n", "# plt.xlabel(\"Mean frequency (kHz)\")\n", "# plt.show()\n", "# cdfplot.get_figure().savefig(os.path.join(output_img, \"mean-freq_orientations.pdf\"))\n", "\n", "fig, ax = plt.subplots(figsize=(4,6))\n", "sns.boxplot(\n", " data=data_without_unknowns, \n", " y=\"mean_f\", fill=False,\n", " x=\"Orientations\", hue=\"Orientations\",\n", " hue_order=['< 2.5°', '[2.5, 5]°', '> 5°'],\n", " order=['< 2.5°', '[2.5, 5]°', '> 5°'],\n", " ax=ax,\n", " palette=[\"xkcd:light orange\", \"xkcd:orange\", \"xkcd:dark orange\"],\n", ")\n", "ax.set_ylabel(\"Mean frequency (kHz)\", fontsize=15)\n", "ax.set_xlabel(\"On-axis deviations\", fontsize=15)\n", "ax.tick_params(which=\"both\", labelsize=12)\n", "plt.ylim((6, 23))\n", "fig.tight_layout()\n", "plt.show()\n", "fig.savefig(os.path.join(output_img, \"mean-freq_orientations_box.pdf\"))" ] }, { "cell_type": "markdown", "id": "9ffe907d", "metadata": {}, "source": [ "Conclusion : we are not able to differenciate further because the directivity of the echolocation clicks limits us. However, we can affirm that SNR is lower for whistles emitted on-axis that unknown orientations. The explanation lies in the frequencies => unknown orientation whistles have lower mean frequencies (check following graphs) => because highest frequencies were absorbed during transmission i water => so alles good." ] }, { "cell_type": "markdown", "id": "23d0ec7d", "metadata": {}, "source": [ "## Harmonics VS orientation" ] }, { "cell_type": "code", "execution_count": 21, "id": "e64f5847", "metadata": {}, "outputs": [ { "data": { "image/png": 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kokZKSOTs7Cy2bdsmdbU6LV26VLRt21bY2NiIwMBAcejQIc2y0NBQERMTo9V/w4YNokOHDsLGxkZ06dJFZy3Lly8X3t7eQqlUCj8/P5GdnS2pptLSUgFAlJaW6rVPjcG9e/dE//79Na979+6ZuiSieqvv36jk++Dc3d2xZ88edOjQwTiJawZ4HxyZMyEEKioqntjm4OCg8+iqrvbGxqD3wf3a9OnTkZqairS0NFn8oIgam4qKCq3/OEnxR/sPmeSAO3DgAHbv3o1vvvkGXbp0gbW1tdbyTZs2Gaw4IqKGkBxwzZo1w/Dhw41RCxGRQUkOuJUrVxqjDiKqJwcHB2zevFmrrby8HGPGjNG8X7t2rc5D0T/anI163+h769Ytzf1mzz33HJ555hmDFUVEdVMoFL97Hq1JkyZ/qHNtdZE8H1xFRQVef/11tGrVCn369EGfPn3g7u6O8ePHax4ITURkDiQHXFxcHPbu3Yuvv/4ad+/exd27d7F582bs3bsX06dPN0aNRER6kXyI+uWXX+KLL75A3759NW2DBg2CnZ0dRo0ahU8//dSQ9RER6U3yCO7+/fu1piwCgJYtW/IQlYjMiuSACw4ORmJiIh48eKBp+/nnnzFnzhzNl96JiMyB5EPU1NRUhIeHo02bNvDz8wMAfPfdd1AqlTqfeE9EZCqSA65r1664ePEi1q5dq5l5Nzo6GmPGjIGdnZ3BCyQi0pde98HZ29tjwoQJhq6FiMig9Aq4Gzdu4MCBAzonvKzvMxmIiIxNcsCtWrUKf/3rX2FjYwNnZ2etGUWkPHSGiMjYJAfcBx98gFmzZiEhIQEWFpIvwhIRPTV63Qc3evRohhsRmT3JKTV+/Hhs3LjRGLUQERmU5EPUpKQkDBkyBDk5OfD19a014WVKSorBiiMiagi9Am7Hjh147rnnAKDWRQYiInMhOeCSk5OxYsUKvPbaa0Yoh4jIcCSfg7O1tUWvXr2MUQsRkUFJDripU6di6dKlxqiFiMigJB+iHj58GLt27cLWrVv5VC0iMmt6PVVrxIgRxqiFiMigJAXc//73P/Tr1w8DBw6Em5ubsWpqlIrm+pq6BEnu/08B4JcHBf334xDYWwnTFaSHtrNOmboEMnOSzsFZWVlh4sSJqKysNFY9REQGI/kiQ2BgII4fP26MWoiIDEryObg333wT06dPx3//+1/06NGj1oNku3XrZrDiiIgaQnLAjR49GoD2vG8KhQJCCCgUClRXVxuuOiKiBpAccFeuXDFGHUREBic54Dw9PY1RBxGRwek1ZTkAnD17FkVFRaiqqtJqHzp0aIOLIiIyBMkB9/3332P48OE4deqU5twb8MtMIjwHR0TmQq/vorZr1w4lJSWwt7fHmTNnsG/fPgQEBGDPnj1GKJGISD+SR3D5+fnYtWsXXFxcYGFhAQsLC/Tu3RtJSUmYMmUK75EjIrMheQRXXV2Npk2bAgBcXFxw48YNAI8uPhQWFhq2OiKiBtDryfbfffcd2rVrh6CgIHz88cewsbHBsmXL0L59e2PUSESkF8kBN3PmTFRUVAAA5s6diyFDhuBPf/oTnJ2dkZWVZfACiYj0JTngwsPDNf/29vbG+fPncefOHTRv3pzPZCAis2KQh5u2aNGiQeGWnp4OLy8vKJVKBAUF4fDhw0/sv3HjRnTs2BFKpRK+vr7Yvn271vLXXnsNCoVC6xUREaF3fUTUOEkOuIqKCnzwwQcICQmBt7c32rdvr/WSKisrC3FxcUhMTERBQQH8/PwQHh6OkpISnf3z8vIQHR2N8ePH4/jx44iMjERkZCROnz6t1S8iIgI3b97UvNavXy+5NiJq3CQfov6///f/sHfvXowdOxatWrVq8GFpSkoKJkyYgNjYWABARkYGtm3bhhUrVuD999+v1T81NRURERGIj48HAMybNw+5ublIS0tDRkaGpp+trS0n5ST6g5MccN988w22bdtmkCdrVVVV4dixY0hISNC0WVhYICwsDPn5+TrXyc/PR1xcnFZbeHg4srOztdr27NmDli1bonnz5ujfvz/+8Y9/wNnZucE1E1HjITngmjdvjhYtWhjkw2/fvo3q6mq4urpqtbu6uuL8+fM611Gr1Tr7q9VqzfuIiAiMGDEC7dq1w+XLlzFjxgz8+c9/Rn5+PiwtLWtts7KyUmuW4rKysobsFhGZCcnn4ObNm4dZs2bh/v37xqjHIEaPHo2hQ4fC19cXkZGR2Lp1K44cOVLnV8mSkpLg5OSkeXl4eDzdgonIKOo1gnv++ee1zrVdunQJrq6u8PLyqvXYwIKCgnp/uIuLCywtLVFcXKzVXlxcXOf5Mzc3N0n9AaB9+/ZwcXHBpUuX8OKLL9ZanpCQoHXYW1ZWxpAjkoF6BVxkZKRRPtzGxgY9evSASqXSfEZNTQ1UKhUmTZqkc53g4GCoVCpMmzZN05abm4vg4OA6P+e///0vfvzxR7Rq1UrncltbW9ja2uq9H0RknuoVcImJiUYrIC4uDjExMQgICEBgYCAWL16MiooKzVXVcePGoXXr1khKSgLwaDaT0NBQJCcnY/DgwcjMzMTRo0exbNkyAEB5eTnmzJmDl156CW5ubrh8+TLeffddeHt7a92kTETyp/eEl4YSFRWFW7duYdasWVCr1fD390dOTo7mQkJRUREsLH45VRgSEoJ169Zh5syZmDFjBnx8fJCdnY2uXbsCACwtLXHy5El8/vnnuHv3Ltzd3TFw4EDMmzePozSiPxiTBxwATJo0qc5DUl0XBkaOHImRI0fq7G9nZ4cdO3YYsjwiaqQM8lUtIiJzVK+A431hRNQY1SvgmjdvrvluaP/+/XH37l1j1kREZBD1CrgmTZrgxx9/BPDonNjDhw+NWhQRkSHU6yJDWFgY+vXrh06dOgEAhg8fDhsbG519d+3aZbjqiIgaoF4B9+9//xuff/45Ll++jL1796JLly6wt7c3dm1ERA1Sr4Czs7PDxIkTAQBHjx7FRx99hGbNmhmzLiKiBpN8H9zu3bs1//7tQ5+JiMyJXvfBrV69Gr6+vrCzs4OdnR26deuGNWvWGLo2IqIGkTyCS0lJwQcffIBJkyZpJr08cOAAJk6ciNu3b+Ptt982eJFERPqQHHBLly7Fp59+inHjxmnahg4dii5dumD27NkMOCIyG5IPUW/evImQkJBa7SEhIbh586ZBiiIiMgTJAeft7Y0NGzbUas/KyoKPj49BiiIiMgTJh6hz5sxBVFQU9u3bpzkHd/DgQahUKp3BR0RkKpJHcC+99BK+/fZbuLi4IDs7G9nZ2XBxccHhw4cxfPhwY9RIRKQXveaD69GjB/79738buhYiIoPifHBEJFsMOCKSLQYcEckWA46IZEtSwD18+BBWVlY4ffq0seohIjIYSQFnbW2Ntm3borq62lj1EBEZjORD1L///e+YMWMG7ty5Y4x6iIgMRvJ9cGlpabh06RLc3d3h6ekJBwcHreUFBQUGK46IqCEkB1xkZKQRyiAiMjzJAZeYmGiMOoiIDE6v20Tu3r2Lf/3rX0hISNCciysoKMD169cNWhwRUUNIHsGdPHkSYWFhcHJywtWrVzFhwgS0aNECmzZtQlFREVavXm2MOomIJJM8gouLi8Nrr72GixcvQqlUatoHDRqEffv2GbQ4IqKGkBxwR44cwV//+tda7a1bt4ZarTZIUUREhiA54GxtbVFWVlar/cKFC3jmmWcMUhQRkSFIDrihQ4di7ty5ePjwIYBHz0QtKirCe++9h5deesngBRIR6UtywCUnJ6O8vBwtW7bEzz//jNDQUHh7e6Np06aYP3++MWokItKL5KuoTk5OyM3NxYEDB3Dy5EmUl5eje/fuCAsLM0Z9RER602vKcgDo3bs3evfubchaiIgMSq8bfVUqFYYMGYJnn30Wzz77LIYMGYKdO3caujYiogaRHHCffPIJIiIi0LRpU0ydOhVTp06Fo6MjBg0ahPT0dGPUSESkF8mHqAsWLMCiRYswadIkTduUKVPQq1cvLFiwAG+99ZZBCyQi0pfkEdzdu3cRERFRq33gwIEoLS01SFFERIag131wX331Va32zZs3Y8iQIQYpiojIEOp1iLpkyRLNvzt37oz58+djz549CA4OBgAcOnQIBw8exPTp041TJRGRHuo1glu0aJHmtXz5cjRv3hxnz57F8uXLsXz5cpw5cwbNmjXDihUr9CoiPT0dXl5eUCqVCAoKwuHDh5/Yf+PGjejYsSOUSiV8fX2xffv2OvtOnDgRCoUCixcv1qs2Imq86jWCu3LlitEKyMrKQlxcHDIyMhAUFITFixcjPDwchYWFaNmyZa3+eXl5iI6ORlJSEoYMGYJ169YhMjISBQUF6Nq1q1bfr776CocOHYK7u7vR6ici82Xy56KmpKRgwoQJiI2NRefOnZGRkQF7e/s6R4OpqamIiIhAfHw8OnXqhHnz5qF79+5IS0vT6nf9+nVMnjwZa9euhbW19dPYFSIyM5JvExFC4IsvvsDu3btRUlKCmpoareWbNm2q97aqqqpw7NgxJCQkaNosLCwQFhaG/Px8nevk5+cjLi5Oqy08PBzZ2dma9zU1NRg7dizi4+PRpUuX362jsrISlZWVmve6ZkshosZH8ghu2rRpGDt2LK5cuYImTZrAyclJ6yXF7du3UV1dDVdXV612V1fXOueWU6vVv9v/o48+gpWVFaZMmVKvOpKSkrT2wcPDQ9J+EJF5kjyCW7NmDTZt2oRBgwYZo54GO3bsGFJTU1FQUACFQlGvdRISErRGhWVlZQw5IhmQPIJzcnJC+/btDfLhLi4usLS0RHFxsVZ7cXEx3NzcdK7j5ub2xP779+9HSUkJ2rZtCysrK1hZWeGHH37A9OnT4eXlpXObtra2cHR01HoRUeMnOeBmz56NOXPm4Oeff27wh9vY2KBHjx5QqVSatpqaGqhUKs09dr8VHBys1R8AcnNzNf3Hjh2LkydP4sSJE5qXu7s74uPjsWPHjgbXTESNh+RD1FGjRmH9+vVo2bIlvLy8al2hlPpk+7i4OMTExCAgIACBgYFYvHgxKioqEBsbCwAYN24cWrdujaSkJADA1KlTERoaiuTkZAwePBiZmZk4evQoli1bBgBwdnaGs7Oz1mdYW1vDzc0Nzz33nNTdJaJGTHLAxcTE4NixY3j11Vfh6upa7/NcdYmKisKtW7cwa9YsqNVq+Pv7IycnR3MhoaioCBYWvww0Q0JCsG7dOsycORMzZsyAj48PsrOza90DR0QkOeC2bduGHTt2GHSyy0mTJmnNTvJre/bsqdU2cuRIjBw5st7bv3r1qp6VEVFjJvkcnIeHB0/CE1GjoNdDZ959912OiojI7Ek+RH311Vdx//59PPvss7C3t691keHOnTsGK46IqCEkBxxn5SCixkKvq6hERI2B5IArKip64vK2bdvqXQwRkSFJDjgvL68n3vtWXV3doIKIiAxFcsAdP35c6/3Dhw9x/PhxpKSkYP78+QYrjIiooSQHnJ+fX622gIAAuLu745///CdGjBhhkMKIiBrKYDP6Pvfcczhy5IihNkdE1GCSR3C/ne1WCIGbN29i9uzZ8PHxMVhhREQNJTngmjVrVusigxACHh4eyMzMNFhhREQNJTngdu/erfXewsICzzzzDLy9vWFlJXlzRERGIzmRQkNDjVEHEZHB1Tvg9u3bV69+ffr00bsYIiJDqnfA9e3bt85lj8/JKRQK/O9//2twUUREhlDvgPvpp590tt+/fx+pqalYsmSJwR5GQ0RkCPUOuN8+87SmpgYrVqzAnDlzYGFhgfT0dH4Rn4jMil6XPTdt2oQZM2bg1q1bSEhIwOTJk2Fra2vo2oiIGkTSNxn27t2LF154AWPHjsWIESPw/fff45133mG4EZFZqvcIbtCgQdi5cydef/11ZGdn1/lgZiIic1HvgMvJyYGVlRWysrKwYcOGOvtxynIiMhf1DriVK1casw4iIoOrd8DxCikRNTYGmy6JiMjcMOCISLYYcEQkWww4IpItBhwRyZbkr2pVV1dj1apVUKlUKCkpQU1NjdbyXbt2Gaw4IqKGkBxwU6dOxapVqzB48GB07dr1ic9IJSIyJckBl5mZiQ0bNmDQoEHGqIeIyGAkn4OzsbGBt7e3MWohIjIoyQE3ffp0pKamQghhjHqIiAxG8iHqgQMHsHv3bnzzzTfo0qULrK2ttZZv2rTJYMURETWEXs9FHT58uDFqITIbPeJXm7oESRT/q8Kv59zu+0EmhJWNyerRx7F/jjP4NiUHHGcVIaLGgjf6EpFs6fVMhi+++AIbNmxAUVERqqqqtJYVFBQYpDAiooaSPIJbsmQJYmNj4erqiuPHjyMwMBDOzs74/vvv8ec//9kYNRIR6UVywH3yySdYtmwZli5dChsbG7z77rvIzc3FlClTUFpaaowaiYj0IjngioqKEBISAgCws7PDvXv3AABjx47F+vXr9SoiPT0dXl5eUCqVCAoKwuHDh5/Yf+PGjejYsSOUSiV8fX2xfft2reWzZ89Gx44d4eDggObNmyMsLAzffvutXrURUeMlOeDc3Nw0D5Zp27YtDh06BAC4cuWKXjf/ZmVlIS4uDomJiSgoKICfnx/Cw8NRUlKis39eXh6io6Mxfvx4HD9+HJGRkYiMjMTp06c1fTp06IC0tDScOnUKBw4cgJeXFwYOHIhbt25Jro+IGi/JAde/f39s2bIFABAbG4u3334bAwYMQFRUlF73x6WkpGDChAmIjY1F586dkZGRAXt7e6xYsUJn/9TUVERERCA+Ph6dOnXCvHnz0L17d6SlpWn6vPLKKwgLC0P79u3RpUsXpKSkoKysDCdPnpRcHxE1XpKvoi5btkwzRdJbb70FZ2dn5OXlYejQofjrX/8qaVtVVVU4duwYEhISNG0WFhYICwtDfn6+znXy8/MRFxen1RYeHo7s7Ow6P2PZsmVwcnKCn5+fzj6VlZWorKzUvC8rK5O0H0RkniQHnIWFBSwsfhn4jR49GqNHj9brw2/fvo3q6mq4urpqtbu6uuL8+fM611Gr1Tr7q9VqrbatW7di9OjRuH//Plq1aoXc3Fy4uLjo3GZSUhLmzJmj1z4QkfnS60bf/fv349VXX0VwcDCuX78OAFizZg0OHDhg0OIaol+/fjhx4gTy8vIQERGBUaNG1XleLyEhAaWlpZrXtWvXnnK1RGQMkgPuyy+/RHh4OOzs7HD8+HHNoV1paSkWLFggaVsuLi6wtLREcXGxVntxcTHc3Nx0ruPm5lav/g4ODvD29sYLL7yA5cuXw8rKCsuXL9e5TVtbWzg6Omq9iKjxkxxw//jHP5CRkYHPPvtMayaRXr16Sf4Wg42NDXr06AGVSqVpq6mpgUqlQnBwsM51goODtfoDQG5ubp39f73dX59nIyL5k3wOrrCwEH369KnV7uTkhLt370ouIC4uDjExMQgICEBgYCAWL16MiooKxMbGAgDGjRuH1q1bIykpCcCjKdNDQ0ORnJyMwYMHIzMzE0ePHsWyZcsAABUVFZg/fz6GDh2KVq1a4fbt20hPT8f169cxcuRIyfURUeMlOeDc3Nxw6dIleHl5abUfOHAA7du3l1xAVFQUbt26hVmzZkGtVsPf3x85OTmaCwlFRUVaFzVCQkKwbt06zJw5EzNmzICPjw+ys7PRtWtXAIClpSXOnz+Pzz//HLdv34azszN69uyJ/fv3o0uXLpLrI6LGS3LATZgwAVOnTsWKFSugUChw48YN5Ofn45133sEHH3ygVxGTJk3CpEmTdC7bs2dPrbaRI0fWORpTKpWcdJOIAOgRcO+//z5qamrw4osv4v79++jTpw9sbW3xzjvvYPLkycaokYhIL5IDTqFQ4O9//zvi4+Nx6dIllJeXo3PnzmjSpIkx6iMi0pte88EBj66Adu7c2ZC1EBEZVL0D7vXXX69Xv7q+Q0pE9LTVO+BWrVoFT09PPP/883xkIBE1CvUOuL/97W9Yv349rly5gtjYWLz66qto0aKFMWsjImqQen+TIT09HTdv3sS7776Lr7/+Gh4eHhg1ahR27NjBER0RmSVJX9WytbVFdHQ0cnNzcfbsWXTp0gVvvvkmvLy8UF5ebqwaqQGEAO7/T6Hz9Wt19eF/u6gx0/sqqoWFBRQKBYQQqK6uNmRNZEA/Vyvw1sFnfrdf/Le6p5JK73UL9lZMOWqcJI3gKisrsX79egwYMAAdOnTAqVOnkJaWhqKiIt4HR0Rmp94juDfffBOZmZnw8PDA66+/jvXr19c5gSQRkTmod8BlZGSgbdu2aN++Pfbu3Yu9e/fq7MfvgZoXO0uB9F61H7YjxKPD11/3UyhqdYOdJQ9PqfGqd8CNGzcOCl1/AWTWFArUeQ7NwZrhRfIm6UZfIqLGRK9nMhARNQYMOCKSLQYcEckWA46IZIsBR0SyxYAjItliwBGRbDHgiEi2GHBEJFsMOCKSLQYcEckWA46IZIsBR0SyxYAjItliwBGRbDHgiEi2GHBEJFsMOCKSLQYcEckWA46IZIsBR0SyxYAjItliwBGRbDHgiEi2GHBEJFsMOCKSLbMIuPT0dHh5eUGpVCIoKAiHDx9+Yv+NGzeiY8eOUCqV8PX1xfbt2zXLHj58iPfeew++vr5wcHCAu7s7xo0bhxs3bhh7N4jIzJg84LKyshAXF4fExEQUFBTAz88P4eHhKCkp0dk/Ly8P0dHRGD9+PI4fP47IyEhERkbi9OnTAID79++joKAAH3zwAQoKCrBp0yYUFhZi6NChT3O3iMgMKIQQwpQFBAUFoWfPnkhLSwMA1NTUwMPDA5MnT8b7779fq39UVBQqKiqwdetWTdsLL7wAf39/ZGRk6PyMI0eOIDAwED/88APatm37uzWVlZXByckJpaWlcHR0rNd+FM31rVc/Mpy2s04Zbds94lcbbdvGoPhfFZxOrte8L+0WDWFlY8KKpDv2z3H17lvfv1GTjuCqqqpw7NgxhIWFadosLCwQFhaG/Px8nevk5+dr9QeA8PDwOvsDQGlpKRQKBZo1a6ZzeWVlJcrKyrReRNT4mTTgbt++jerqari6umq1u7q6Qq1W61xHrVZL6v/gwQO89957iI6OrjPpk5KS4OTkpHl5eHjosTdEZG5Mfg7OmB4+fIhRo0ZBCIFPP/20zn4JCQkoLS3VvK5du/YUqyQiY7Ey5Ye7uLjA0tISxcXFWu3FxcVwc3PTuY6bm1u9+j8Otx9++AG7du164nG6ra0tbG1t9dwLIjJXJh3B2djYoEePHlCpVJq2mpoaqFQqBAcH61wnODhYqz8A5ObmavV/HG4XL17Ezp074ezsbJwdICKzZtIRHADExcUhJiYGAQEBCAwMxOLFi1FRUYHY2FgAwLhx49C6dWskJSUBAKZOnYrQ0FAkJydj8ODByMzMxNGjR7Fs2TIAj8Lt5ZdfRkFBAbZu3Yrq6mrN+bkWLVrAxqZxXVkiIv2ZPOCioqJw69YtzJo1C2q1Gv7+/sjJydFcSCgqKoKFxS8DzZCQEKxbtw4zZ87EjBkz4OPjg+zsbHTt2hUAcP36dWzZsgUA4O/vr/VZu3fvRt++fZ/KfhGR6Zk84ABg0qRJmDRpks5le/bsqdU2cuRIjBw5Umd/Ly8vmPjWPiIyE7K+ikpEf2wMOCKSLQYcEckWA46IZIsBR0SyxYAjItliwBGRbDHgiEi2GHBEJFsMOCKSLQYcEckWA46IZIsBR0SyxYAjItliwBGRbDHgiEi2GHBEJFsMOCKSLQYcEckWA46IZIsBR0SyxYAjItliwBGRbDHgiEi2GHBEJFsMOCKSLQYcEckWA46IZIsBR0SyxYAjItliwBGRbDHgiEi2GHBEJFsMOCKSLQYcEckWA46IZIsBR0SyxYAjItliwBGRbDHgiEi2rExdABFJJAQU1Q+1mhTVVU98r1nV0hpQKIxWmrkx+QguPT0dXl5eUCqVCAoKwuHDh5/Yf+PGjejYsSOUSiV8fX2xfft2reWbNm3CwIED4ezsDIVCgRMnThixeqKnT1H9EE4n12u9HM98qdXH8cyXtfo4nVxfKxjlzqQBl5WVhbi4OCQmJqKgoAB+fn4IDw9HSUmJzv55eXmIjo7G+PHjcfz4cURGRiIyMhKnT5/W9KmoqEDv3r3x0UcfPa3dICIzZdKAS0lJwYQJExAbG4vOnTsjIyMD9vb2WLFihc7+qampiIiIQHx8PDp16oR58+ahe/fuSEtL0/QZO3YsZs2ahbCwsKe1G0Rkpkx2Dq6qqgrHjh1DQkKCps3CwgJhYWHIz8/XuU5+fj7i4uK02sLDw5Gdnd2gWiorK1FZWal5X1ZW1qDtERmTsLRGabfo37ZqHX4KS2sAtc+1PWr/4zDZCO727duorq6Gq6urVrurqyvUarXOddRqtaT+9ZWUlAQnJyfNy8PDo0HbIzIqhQLCyuY3L1vU2DbRvISVrY4+Nn+oCwyAGVxkMAcJCQkoLS3VvK5du2bqkojIAEx2iOri4gJLS0sUFxdrtRcXF8PNzU3nOm5ubpL615etrS1sbW0btA0iMj8mG8HZ2NigR48eUKlUmraamhqoVCoEBwfrXCc4OFirPwDk5ubW2Z+I/thMeqNvXFwcYmJiEBAQgMDAQCxevBgVFRWIjY0FAIwbNw6tW7dGUlISAGDq1KkIDQ1FcnIyBg8ejMzMTBw9ehTLli3TbPPOnTsoKirCjRs3AACFhYUAHo3+GjrSI6LGxaQBFxUVhVu3bmHWrFlQq9Xw9/dHTk6O5kJCUVERLCx+GWSGhIRg3bp1mDlzJmbMmAEfHx9kZ2eja9eumj5btmzRBCQAjB49GgCQmJiI2bNnP50dIyKzoBBCCFMXYW7Kysrg5OSE0tJSODo61mudorm+Rq6KfqvtrFNG23aP+NVG2zbpduyf4+rdt75/o7yKSkSyxYAjItliwBGRbDHgiEi2GHBEJFsMOCKSLQYcEckWA46IZIsBR0SyxYAjItliwBGRbDHgiEi2GHBEJFsMOCKSLQYcEckWA46IZIsBR0SyxYAjItliwBGRbDHgiEi2GHBEJFsMOCKSLQYcEckWA46IZIsBR0SyxYAjItliwBGRbDHgiEi2GHBEJFsMOCKSLQYcEckWA46IZIsBR0SyxYAjItliwBGRbDHgiEi2GHBEJFsMOCKSLQYcEckWA46IZIsBR0SyZRYBl56eDi8vLyiVSgQFBeHw4cNP7L9x40Z07NgRSqUSvr6+2L59u9ZyIQRmzZqFVq1awc7ODmFhYbh48aIxd4GIzJDJAy4rKwtxcXFITExEQUEB/Pz8EB4ejpKSEp398/LyEB0djfHjx+P48eOIjIxEZGQkTp8+renz8ccfY8mSJcjIyMC3334LBwcHhIeH48GDB09rt4jIDJg84FJSUjBhwgTExsaic+fOyMjIgL29PVasWKGzf2pqKiIiIhAfH49OnTph3rx56N69O9LS0gA8Gr0tXrwYM2fOxLBhw9CtWzesXr0aN27cQHZ29lPcMyIyNStTfnhVVRWOHTuGhIQETZuFhQXCwsKQn5+vc538/HzExcVptYWHh2vC68qVK1Cr1QgLC9Msd3JyQlBQEPLz8zF69Oha26ysrERlZaXmfWlpKQCgrKys3vty70F1vfuSYUj5/UhVXfmz0bZNukn5fT7uK4R4Yj+TBtzt27dRXV0NV1dXrXZXV1ecP39e5zpqtVpnf7VarVn+uK2uPr+VlJSEOXPm1Gr38PCo346QaSQ5mboCMiCnpRMlr3Pv3j04OdX9/wOTBpy5SEhI0BoV1tTU4M6dO3B2doZCoTBhZcZVVlYGDw8PXLt2DY6OjqYuhxroj/T7FELg3r17cHd3f2I/kwaci4sLLC0tUVxcrNVeXFwMNzc3neu4ubk9sf/j/y0uLkarVq20+vj7++vcpq2tLWxtbbXamjVrJmVXGjVHR0fZ/0H8kfxRfp9PGrk9ZtKLDDY2NujRowdUKpWmraamBiqVCsHBwTrXCQ4O1uoPALm5uZr+7dq1g5ubm1afsrIyfPvtt3Vuk4hkSphYZmamsLW1FatWrRJnz54Vb7zxhmjWrJlQq9VCCCHGjh0r3n//fU3/gwcPCisrK7Fw4UJx7tw5kZiYKKytrcWpU6c0fT788EPRrFkzsXnzZnHy5EkxbNgw0a5dO/Hzzz8/9f0zZ6WlpQKAKC0tNXUpZAD8fdZm8oATQoilS5eKtm3bChsbGxEYGCgOHTqkWRYaGipiYmK0+m/YsEF06NBB2NjYiC5duoht27ZpLa+pqREffPCBcHV1Fba2tuLFF18UhYWFT2NXGpUHDx6IxMRE8eDBA1OXQgbA32dtCiF+5zorEVEjZfIbfYmIjIUBR0SyxYAjItliwMnEnj17oFAocPfuXVOXQo1U3759MW3aNFOXYVD8JgMRAQA2bdoEa2trU5dhUAw4IgIAtGjRwtQlGBwPUc2El5cXFi9erNXm7++P2bNnAwAUCgX+9a9/Yfjw4bC3t4ePjw+2bNlS5/bu37+PP//5z+jVqxfu3r2Lq1evQqFQYNOmTejXrx/s7e3h5+dXa9aWL7/8El26dIGtrS28vLyQnJysWZaWloauXbtq3mdnZ0OhUCAjI0PTFhYWhpkzZwIAZs+eDX9/f6xZswZeXl5wcnLC6NGjce/ePX1/TLJQWVmJKVOmoGXLllAqlejduzeOHDkC4JdTDSqVCgEBAbC3t0dISAgKCwufuM0jR45gwIABcHFxgZOTE0JDQ1FQUKBZvmfPHtjY2GD//v2ato8//hgtW7bUfPXxt4eon3zyCXx8fKBUKuHq6oqXX37ZgD+Fp8TUN+LRI56enmLRokVabX5+fiIxMVEIIQQA0aZNG7Fu3Tpx8eJFMWXKFNGkSRPx448/CiGE2L17twAgfvrpJ/HTTz+JkJAQMXDgQFFRUSGEEOLKlSsCgOjYsaPYunWrKCwsFC+//LLw9PQUDx8+FEIIcfToUWFhYSHmzp0rCgsLxcqVK4WdnZ1YuXKlEEKIkydPCoVCIUpKSoQQQkybNk24uLiIqKgoIYQQVVVVwt7eXuTm5gohhEhMTBRNmjQRI0aMEKdOnRL79u0Tbm5uYsaMGcb8UZq9KVOmCHd3d7F9+3Zx5swZERMTI5o3by5+/PFHze8xKChI7NmzR5w5c0b86U9/EiEhIU/cpkqlEmvWrBHnzp0TZ8+eFePHjxeurq6irKxM0yc+Pl54enqKu3fvioKCAmFjYyM2b96sWR4aGiqmTp0qhBDiyJEjwtLSUqxbt05cvXpVFBQUiNTUVKP8PIyJAWcm6hNwM2fO1CwrLy8XAMQ333wjhPgl4M6dOye6desmXnrpJVFZWanp/zjg/vWvf2nazpw5o1lHCCFeeeUVMWDAAK0a4uPjRefOnYUQj74h4uzsLDZu3CiEEMLf318kJSUJNzc3IYQQBw4cENbW1ppQTUxMFPb29rX+yIKCgvT+OTV25eXlwtraWqxdu1bTVlVVJdzd3cXHH3+s+T3u3LlTs3zbtm0CgKSvGlZXV4umTZuKr7/+WtNWWVkp/P39xahRo0Tnzp3FhAkTtNb5dcB9+eWXwtHRUet31xjxELUR6datm+bfDg4OcHR0rDW1+4ABA+Dt7Y2srCzY2Ng8cRuPZ1t5vI1z586hV69eWv179eqFixcvorq6GgqFAn369MGePXtw9+5dnD17Fm+++SYqKytx/vx57N27Fz179oS9vb1mfS8vLzRt2lTrM+uajv6P4PLly3j48KHWz9na2hqBgYE4d+6cpq2u31NRURGaNGmieS1YsADAo9lyJkyYAB8fHzg5OcHR0RHl5eUoKirSbMfGxgZr167Fl19+iQcPHmDRokV11jlgwAB4enqiffv2GDt2LNauXYv79+8b7OfwtDDgzISFhUWt2UkfPnyo9f63V7gUCgVqamq02gYPHox9+/bh7NmzOj/n19t4PNfdb7fxJH379sWePXuwf/9+PP/883B0dNSE3t69exEaGiq5Zqqtrt+Tu7s7Tpw4oXlNnPhoksiYmBicOHECqampyMvLw4kTJ+Ds7Iyqqiqt7ebl5QEA7ty5gzt37tT5+U2bNkVBQQHWr1+PVq1aYdasWfDz82t0tyEx4MzEM888g5s3b2rel5WV4cqVK5K38+GHHyImJgYvvvhinSFXl06dOuHgwYNabQcPHkSHDh1gaWkJAAgNDcXZs2exceNG9O3bF8Cj0Nu5cycOHjyoaSPdnn32WdjY2Gj9nB8+fIgjR46gc+fOv7u+lZUVvL29Na/HVz4PHjyIKVOmYNCgQZqLRLdv39Za9/Lly3j77bfx2WefISgoCDExMU/8j42VlRXCwsLw8ccf4+TJk7h69Sp27dql556bBgPOTPTv3x9r1qzB/v37cerUKcTExGhCRaqFCxdizJgx6N+/f51Tv+syffp0qFQqzJs3DxcuXMDnn3+OtLQ0vPPOO5o+3bp1Q/PmzbFu3TqtgMvOzkZlZWWtQ1zS5uDggL/97W+Ij49HTk4Ozp49iwkTJuD+/fsYP3683tv18fHBmjVrcO7cOXz77bcYM2YM7OzsNMurq6vx6quvIjw8HLGxsVi5ciVOnjypdZX817Zu3YolS5bgxIkT+OGHH7B69WrU1NTgueee07tGU+B9cGYiISEBV65cwZAhQ+Dk5IR58+bpNYJ7bNGiRaiurkb//v01twj8nu7du2PDhg2YNWsW5s2bh1atWmHu3Ll47bXXNH0UCgX+9Kc/Ydu2bejduzeAR6Hn6OiI5557Dg4ODnrX/Efx4YcfoqamBmPHjsW9e/cQEBCAHTt2oHnz5npvc/ny5XjjjTfQvXt3eHh4YMGCBVr/YZo/fz5++OEHbN26FcCj83rLli1DdHQ0Bg4cCD8/P63tNWvWDJs2bcLs2bPx4MED+Pj4YP369ejSpYveNZoCp0siItniISoRyRYDjohkiwFHRLLFgCMi2WLAEZFsMeCISLYYcEQkWww4MiuP5607ceKEqUup06pVq9CsWTNTl0H1wIAjo7h27Rpef/11uLu7w8bGBp6enpg6dSp+/PHHJ67n4eGBmzdvak2saQgKhQLZ2dmS19M1EWlUVBQuXLhgmMLIqBhwZHDff/89AgICcPHiRaxfvx6XLl1CRkYGVCoVgoOD65zFoqqqCpaWlnBzc4OVlfl+i9DOzg4tW7Y0dRlUHyaej45kKCIiQrRp00bcv39fq/3mzZvC3t5eTJw4UQjxaJLPuXPnirFjx4qmTZuKmJgYzcScx48f16x36tQpERERIRwcHETLli3Fq6++Km7duqVZHhoaKiZPnizi4+NF8+bNhaurq2ai0MefA0Dz8vT0FEIIcenSJTF06FDRsmVL4eDgIAICAjSzET/e7q/Xe/znsnLlSuHk5KS1b5988olo3769sLa2Fh06dBCrV6/WWg5AfPbZZyIyMlLY2dkJb29vrdl0yTgYcGRQP/74o1AoFGLBggU6l0+YMEE0b95c1NTUCE9PT+Ho6CgWLlwoLl26JC5dulQr4H766SfxzDPPiISEBHHu3DlRUFAgBgwYIPr166fZZmhoqHB0dBSzZ88WFy5cEJ9//rlQKBTiP//5jxBCiJKSEgFArFy5Uty8eVMz5fqJEydERkaGOHXqlLhw4YKYOXOmUCqV4ocfftDsS5s2bcTcuXPFzZs3xc2bN4UQtQNu06ZNwtraWqSnp4vCwkKRnJwsLC0txa5duzR98DtTzpNxMODIoA4dOiQAiK+++krn8pSUFAFAFBcXC09PTxEZGam1/LcBN2/ePDFw4ECtPteuXRMARGFhoRDiUcD17t1bq0/Pnj3Fe++9p3n/pJp+rUuXLmLp0qWa97qmkv9twIWEhNSa/nvkyJFi0KBBWp//pCnnyTh4Do6MQtRzkpqAgIAnLv/uu++we/durWm6O3bsCODRBI6P/XqKb6B+U6OXl5fjnXfeQadOndCsWTM0adIE586d05rmuz7qmur911OQ/7bGuqacJ8My3zO51Ch5e3tDoVDg3LlzGD58eK3l586dQ/PmzfHMM88AwO/OH1deXo6//OUv+Oijj2ote/ysAkC/qdHfeecd5ObmYuHChfD29oadnR1efvnlWtN8Gwqnb3/6OIIjg3J2dsaAAQPwySef4Oeff9ZaplarsXbtWkRFRWmeM/B7unfvjjNnzsDLy0trqm5vb29Jk2taW1ujurpaq+3gwYN47bXXMHz4cPj6+sLNzQ1Xr17V6mNjY1Nrvd+qa6r3+kxBTsbFgCODS0tLQ2VlJcLDw7Fv3z5cu3YNOTk5GDBgAFq3bo358+fXe1tvvfUW7ty5g+joaBw5cgSXL1/Gjh07EBsb+7vB82teXl5QqVRQq9X46aefADya5nvTpk04ceIEvvvuO7zyyiu1RlReXl7Yt28frl+/XusZB4/Fx8dj1apV+PTTT3Hx4kWkpKRg06ZNWjPqkmkw4MjgfHx8cPToUbRv3x6jRo3Cs88+izfeeAP9+vVDfn6+5kEp9eHu7o6DBw+iuroaAwcOhK+vL6ZNm4ZmzZrBwqL+//dNTk5Gbm4uPDw88PzzzwMAUlJS0Lx5c4SEhOAvf/kLwsPD0b17d6315s6di6tXr+LZZ5/VHFb/VmRkJFJTU7Fw4UJ06dIF//d//4eVK1fyATxmgFOWE5FscQRHRLLFgCMi2WLAEZFsMeCISLYYcEQkWww4IpItBhwRyRYDjohkiwFHRLLFgCMi2WLAEZFsMeCISLb+P4lpG1Ug/ANBAAAAAElFTkSuQmCC", "text/plain": [ "<Figure size 300x600 with 1 Axes>" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "MWU test: statistic=20503.00, pvalue=0.28\n" ] } ], "source": [ "better_filtered_data_bis = better_filtered_data.copy()\n", "\n", "fig, ax = plt.subplots(figsize=(3, 6))\n", "sns.barplot(\n", " x='Orientation', y='n_harmonics', data=better_filtered_data_bis, \n", " estimator='mean', hue='Orientation', hue_order=[\"on-axis\",\"unknown\"],\n", " capsize=0.1, errorbar=('ci', 95))\n", "ax.set_ylabel('Mean Number of harmonics')\n", "plt.show()\n", "mwu_args = tuple(better_filtered_data_bis.groupby(\"Orientation\")[\"n_harmonics\"].apply(list).reset_index()[\"n_harmonics\"])\n", "u, p = stats.mannwhitneyu(*mwu_args)\n", "print(f\"MWU test: statistic={u:.2f}, pvalue={p:.2g}\") " ] }, { "cell_type": "markdown", "id": "7a06b776", "metadata": {}, "source": [ "So, the graph says one thing but the statistic is very clear => no statical difference in the number of harmonics... But since ~10% of the annotated whistles had harmonics, it is likely that there was just too much noise to be more precise." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.9.19" } }, "nbformat": 4, "nbformat_minor": 5 }