{ "cells": [ { "metadata": {}, "cell_type": "markdown", "source": [ "# Directional Semivariogram\n", "\n", "In this tutorial, we will learn about directional semivariograms, how to set the angle of direction, and the tolerance parameter. We compare two neighbor selection methods: triangular, which is fast, and elliptical, which is accurate.\n", "\n", "## Prerequisites\n", "\n", "- **Domain**:\n", " - semivariance and covariance functions\n", "- **Package**:\n", " - `TheoreticalVariogram`, `ExperimentalVariogram`\n", "- **Programming**:\n", " - Python basics\n", "\n", "## Table of contents\n", "\n", "1. A directional process.\n", "2. Create directional and isotropic semivariograms.\n", "3. Compare directional semivariograms.\n", "\n", "## 1. Directional process\n", "\n", "Not every spatial process may be described by isotropic semivariograms. Sometimes we see a specific trend in one direction (N-S, W-E, or NE-SW, NW-SE). `Pyinterpolate` lets us model semivariance in a specific direction, or multiple directions with omnidirectional case. If you want to go straight to the code, then you should check API examples in notebooks (1) `tutorials/api-examples/a-1-2-directional-experimental-variogram` and (2) `tutorials/api-examples/a-1-4-directional-variogram-class`. This guide is more detailed, thus recommeded for users not familiar with the directional semivariogram concept.\n", "\n", "> **Note**: if you are a machine learning enthusiast, then you can treat the direction as an additional feature to model semivariance.\n", "\n" ], "id": "43073d79ddb0778b" }, { "metadata": {}, "cell_type": "markdown", "source": "## 2. Create directional and isotropic semivariograms", "id": "6423ec1dd82cbd67" }, { "metadata": { "ExecuteTime": { "end_time": "2025-12-21T14:57:02.611148Z", "start_time": "2025-12-21T14:56:58.979900Z" } }, "cell_type": "code", "source": [ "import geopandas as gpd\n", "from pyinterpolate import ExperimentalVariogram, DirectionalVariogram\n", "\n", "import matplotlib.pyplot as plt" ], "id": "c7a65561eb123006", "outputs": [], "execution_count": 1 }, { "metadata": { "ExecuteTime": { "end_time": "2025-12-21T14:57:02.990045Z", "start_time": "2025-12-21T14:57:02.760193Z" } }, "cell_type": "code", "source": [ "VALUE_COL = 'PM2.5'\n", "df = gpd.read_file('../data/air_pollution.gpkg', layer='pm2_5')\n", "df.set_index('station_id', inplace=True)" ], "id": "ea96f944779ff833", "outputs": [], "execution_count": 2 }, { "metadata": { "ExecuteTime": { "end_time": "2025-12-21T14:57:03.087823Z", "start_time": "2025-12-21T14:57:03.050427Z" } }, "cell_type": "code", "source": "df.head()", "id": "1cb44ffd1bd3d45c", "outputs": [ { "data": { "text/plain": [ " PM2.5 geometry\n", "station_id \n", "659 7.12765 POINT (720513.167 300494.94)\n", "736 4.66432 POINT (475344.002 724090.975)\n", "861 3.00739 POINT (526820.46 700473.261)\n", "266 7.10000 POINT (748935.825 383022.087)\n", "355 2.00000 POINT (529001.219 443458.908)" ], "text/html": [ "
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" }, "metadata": {}, "output_type": "display_data" } ], "execution_count": 4 }, { "metadata": {}, "cell_type": "markdown", "source": [ "### Including direction in experimental variogram\n", "\n", "If we recall the first tutorial `1-1-semivariogram-exploration`, we set there three parameters:\n", "\n", "1. `ds`: `numpy array` with coordinates and observed values, for example: `[[0, 0, 10], [0, 1, 20]]`,\n", "2. `step_size`: we must divide our analysis area into discrete **lags**. **Lags** are intervals (usually circular) within which we check if the point has a neighbor. For example, if we look into the lag `500`, then we are going to compare one point with other points in a distance `(0, 1000]` from this point,\n", "3. `max_range`: This parameter represents the possible **maximum range of spatial dependency**. This parameter should be at most half of the extent.\n", "\n", "But that's not everything! We can use other parameters:\n", "\n", "4. `direction`: it is a `float` in the range [0, 360]. We set the direction of the semivariogram:\n", " * 0 or 180: is WE direction,\n", " * 90 or 270 is NS direction,\n", " * 45 or 225 is NE-SW direction,\n", " * 135 or 315 is NW-SE direction.\n", "\n", "5. `tolerance`: it is a `float` in the range [0, 1]. If we leave `tolerance` with default **1**, we will always get an isotropic semivariogram. Another edge case is if we set `tolerance` to **0**, then points must be placed on a single line with the beginning in the origin of the coordinate system and the angle given by the y-axis and direction parameter. If tolerance is > 0 and < 1, the bin is selected as an elliptical area with a major axis pointed in the same direction as the line for 0 tolerance.\n", " * The major axis size is `(tolerance * step_size)`,\n", " * The minor axis size is `((1 - tolerance) * step_size)`,\n", " * The baseline point is at the center of the ellipse.\n", "\n", "Those parameters are used to estimate semivariance and covariance in a leading direction. The `direction` and `tolerance` parameters might be better described with the picture:\n", "\n", "\"The\n" ], "id": "539a3700c1ee060a" }, { "metadata": {}, "cell_type": "markdown", "source": [ "* The top plane shows the black unit circle that represents the omnidirectional variogram. Within it, we see two ellipses: one is bright green and another is dark green.\n", "* The bottom plane shows a unit circle and two ellipses: the brighter yellow, and darker purple.\n", "* The long arrows within both circles are radii of the omnidirectional variogram or **the semi-major axis** of a directional ellipse. The `step_size` parameter controls its length. The shorter arrows are present only in the **directional variograms**. These represent the **semi-minor axes**. The `tolerance` parameter controls their length, and it is always:\n", " - a fraction of `step_size`,\n", " - **1**, in this case, a semivariogram is omnidirectional,\n", " - a value very close to 0 (but not 0) - then ellipse falls into line.\n", "* The good idea is to set `tolerance` to 0.5 and gradually make it smaller or larger (depending on the spatial properties of a dataset).\n", "\n", "---\n", "\n", "We can start the analysis by understanding how our parameters affect the semivariogram bins range. We will set tolerance to 0.2 in each case to better visualize the effects of the leading direction.\n", "\n", "### Case 1: West-East direction" ], "id": "a1e9758df91285e8" }, { "metadata": { "ExecuteTime": { "end_time": "2025-12-21T14:57:04.517133Z", "start_time": "2025-12-21T14:57:04.511722Z" } }, "cell_type": "code", "source": [ "SEMI_MAJOR_AXIS_SIZE = 40000 # meters\n", "MAX_RANGE = 400000 # meters\n", "TOLERANCE = 0.2\n", "WE_DIRECTION = 0 # or 180" ], "id": "1ba3bd514780e6c5", "outputs": [], "execution_count": 5 }, { "metadata": { "ExecuteTime": { "end_time": "2025-12-21T14:57:05.082937Z", "start_time": "2025-12-21T14:57:04.795763Z" } }, "cell_type": "code", "source": [ "exp_var = ExperimentalVariogram(\n", " values=df[VALUE_COL],\n", " geometries=df['geometry'],\n", " step_size=SEMI_MAJOR_AXIS_SIZE,\n", " max_range=MAX_RANGE,\n", " direction=WE_DIRECTION,\n", " tolerance=TOLERANCE\n", ")\n", "exp_var.plot(semivariance=True, covariance=False, variance=False)" ], "id": "e08add8fed9ed6a6", "outputs": [ { "data": { "text/plain": [ "
" ], "image/png": 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" }, "metadata": {}, "output_type": "display_data" } ], "execution_count": 6 }, { "metadata": {}, "cell_type": "markdown", "source": "### Case 2: North-South direction", "id": "c0648b0799ae46cb" }, { "metadata": { "ExecuteTime": { "end_time": "2025-12-21T14:57:05.108813Z", "start_time": "2025-12-21T14:57:05.105483Z" } }, "cell_type": "code", "source": "NS_DIRECTION = 90 # or 270", "id": "ef3b6b637931eba4", "outputs": [], "execution_count": 7 }, { "metadata": { "ExecuteTime": { "end_time": "2025-12-21T14:57:05.349759Z", "start_time": "2025-12-21T14:57:05.124552Z" } }, "cell_type": "code", "source": [ "exp_var = ExperimentalVariogram(\n", " values=df[VALUE_COL],\n", " geometries=df['geometry'],\n", " step_size=SEMI_MAJOR_AXIS_SIZE,\n", " max_range=MAX_RANGE,\n", " direction=NS_DIRECTION,\n", " tolerance=TOLERANCE\n", ")\n", "exp_var.plot(semivariance=True, covariance=False, variance=False)" ], "id": "11cdfca2765c4642", "outputs": [ { "data": { "text/plain": [ "
" ], "image/png": 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" }, "metadata": {}, "output_type": "display_data" } ], "execution_count": 8 }, { "metadata": {}, "cell_type": "markdown", "source": "### Case 3: Northwest-Southeast direction", "id": "89e8635a99fd716c" }, { "metadata": { "ExecuteTime": { "end_time": "2025-12-21T14:57:05.368290Z", "start_time": "2025-12-21T14:57:05.365283Z" } }, "cell_type": "code", "source": "NW_SE_DIRECTION = 135 # or 315", "id": "a46b105c44ff050b", "outputs": [], "execution_count": 9 }, { "metadata": { "ExecuteTime": { "end_time": "2025-12-21T14:57:05.577047Z", "start_time": "2025-12-21T14:57:05.383581Z" } }, "cell_type": "code", "source": [ "exp_var = ExperimentalVariogram(\n", " values=df[VALUE_COL],\n", " geometries=df['geometry'],\n", " step_size=SEMI_MAJOR_AXIS_SIZE,\n", " max_range=MAX_RANGE,\n", " direction=NW_SE_DIRECTION,\n", " tolerance=TOLERANCE\n", ")\n", "exp_var.plot(semivariance=True, covariance=False, variance=False)" ], "id": "2564be9aa9c244ed", "outputs": [ { "data": { "text/plain": [ "
" ], "image/png": 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" }, "metadata": {}, "output_type": "display_data" } ], "execution_count": 10 }, { "metadata": {}, "cell_type": "markdown", "source": "### Case 4: Northeast-Southwest direction", "id": "11e7f935148993e7" }, { "metadata": { "ExecuteTime": { "end_time": "2025-12-21T14:57:05.598253Z", "start_time": "2025-12-21T14:57:05.594290Z" } }, "cell_type": "code", "source": "NE_SW_DIRECTION = 45 # or 225", "id": "9cc53782f9fa4edf", "outputs": [], "execution_count": 11 }, { "metadata": { "ExecuteTime": { "end_time": "2025-12-21T14:57:05.809824Z", "start_time": "2025-12-21T14:57:05.617098Z" } }, "cell_type": "code", "source": [ "exp_var = ExperimentalVariogram(\n", " values=df[VALUE_COL],\n", " geometries=df['geometry'],\n", " step_size=SEMI_MAJOR_AXIS_SIZE,\n", " max_range=MAX_RANGE,\n", " direction=NE_SW_DIRECTION,\n", " tolerance=TOLERANCE\n", ")\n", "exp_var.plot(semivariance=True, covariance=False, variance=False)" ], "id": "625fa90e2ba92952", "outputs": [ { "data": { "text/plain": [ "
" ], "image/png": 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+O3XqVPycPXt2UXsOtC3x3i5/rwMAQEtT0cC9/fbbpyuvvDK99NJLaf31109PP/10euCBB9Lo0aOXuP3cuXOLqXz8s0/SoUOHtMIKK6Rp06YV88stt1yqagM33UN7FzXbEbbjvR3v8XivAwBAS1TRwH366acXoXnDDTcsvjTHPd3nnXdeGjZs2BK3HzVqVBo5cmSj99+3b9/iZ13oBtqOCNt173EAAGiJqkoVvBFy7Nix6ZRTTkk//elPi3u4n3rqqXT88ccXNdzDhw9vVA33gAED0vTp01NNTc0nPk4E+fnz52d7HsCyFc3I1WwDAFAJkUOj37Gl5dCKB+4Iy1HLfeyxx9Yv+8lPfpJ+85vfpH/84x/N+kQBAADg82pKDq3osGBxH2Z1dcMiRK1VbW1txcoEAAAArf4e7r333ru4Z3v11VcvmpQ/+eSTRXPyI444opLFAgAAgM+tok3KZ86cmc4888w0bty4omOz/v37p4MPPjidddZZqXPnzkv9fU3KAQAAWJZazT3cn5fADQAAwLLUau7hBgAAgLZK4AYAAIAMBG4AAADIQOAGAACADARuAAAAyEDgBgAAgAwEbgAAAMhA4AYAAIAMBG4AAADIQOAGAACADARuAAAAyEDgBgAAgAwEbgAAAMhA4AYAAIAMBG4AAADIQOAGAACADARuAAAAyEDgBgAAgAwEbgAAAMhA4AYAAIAMBG4AAADIQOAGAACADARuAAAAyEDgBgAAgAwEbgAAAMhA4AYAAIAMBG4AAADIQOAGAACADARuAAAAyEDgBgAAgAwEbgAAAMhA4AYAAIAMBG4AAADIQOAGAACADARuAAAAyEDgBgAAgAwEbgAAAMhA4AYAAIAMBG4AAADIQOAGAACADARuAAAAyEDgBgAAgAwEbgAAAMhA4AYAAIAMBG4AAADIQOAGAACADARuAAAAyEDgBgAAgAwEbgAAAMhA4AYAAIAMBG4AAADIQOAGAACADARuAAAAyEDgBgAAgAwEbgAAAMhA4AYAAIAMBG4AAADIQOAGAACADARuAAAAyEDgBgAAgAwEbgAAAMhA4AYAAIAMBG4AAABoa4F7zTXXTFVVVYtNxx57bCWLBQAAAJ9bx1RBjz32WFq4cGH9/LPPPpt23XXXdMABB1SyWAAAANC6A/fKK6/cYP6CCy5I66yzTtp5550rViYAAABoU/dwz5s3L/3mN79JRxxxRNGsHAAAAFqzitZwl7v11lvThx9+mA4//PBP3Gbu3LnFVGfGjBnLqHQAAADQSmu4r7nmmjRkyJDUv3//T9xm1KhRqWfPnvXTgAEDlmkZAQAAoLGqSqVSKVXY66+/ntZee+10yy23pH322adJNdwRuqdPn55qamqWUWkBAABor2bMmFFUADcmh7aIJuXXXXdd6tOnTxo6dOinbtelS5diAgAAgJau4k3Ka2tri8A9fPjw1LFji8j/AAAA0PoD94QJE9LkyZOL3skBAACgrah4lfJuu+2WWsBt5AAAANC2argBAACgLRK4AQAAIAOBGwAAADIQuAEAACADgRsAAAAyELgBAAAgA4EbAAAAMhC4AQAAIAOBGwAAADIQuAEAACADgRsAAAAyELgBAAAgA4EbAAAAMhC4AQAAIAOBGwAAADIQuAEAACADgRsAAAAyELgBAAAgA4EbAAAAMhC4AQAAIAOBGwAAADIQuAEAACADgRsAAAAyELgBAAAgA4EbAAAAMhC4AQAAIAOBGwAAADIQuAEAACADgRsAAAAyELgBAAAgA4EbAAAAMhC4AQAAIAOBGwAAADIQuAEAACADgRsAAAAyELgBAAAgA4EbAAAAMhC4AQAAIAOBGwAAADIQuAEAACADgRsAAAAyELgBAAAgA4EbAAAAMhC4AQAAIAOBGwAAADIQuAEAACADgRsAAAAyELgBAAAgA4EbAAAAMhC4AQAAIAOBGwAAADIQuAEAACADgRsAAAAyELgBAAAgA4EbAAAAMhC4AQAAIAOBGwAAADIQuAEAACCDjjl2CgAA0BLUlkppfu3C+vlO1R1SdVVVRctE+yFwAwAAbdL0eXPS6EkT09Q5M+qX9e1Wk04cOCj17NytomWjfdCkHAAAaJNh++KnJ6Rpc2Y2WB7zsTzWQ24CNwAA0OaakUfN9r8/npVqU6nhulQqlsf62A5yErgBAIA2Je7Zjmbki4btOrE81pff2w05CNwAAADQFgP3W2+9lQ455JC00korpW7duqXNNtssPf7445UuFgAAALTeXso/+OCDtMMOO6SvfvWrafz48WnllVdOL7/8curVq1cliwUAALRiMfRX9EYeHaQtqVl5dapKfbr1KLaDNhu4L7zwwjRgwIB03XXX1S9ba621KlkkAACglYtxtmPor+iNfNGO0yJs9+7avVhvPG7adJPy2267LW299dbpgAMOSH369ElbbLFFuuqqqz5x+7lz56YZM2Y0mAAAABYV42yfvPngoia7XMzHcuNwsyxUlUqV6wu/a9euxc8TTzyxCN2PPfZYOu6449IVV1yRhg8fvtj255xzTho5cuRiy6dPn55qamqWSZkBAIDWI4b+Ku+NPJqRq9nm84iK3549ezYqh1Y0cHfu3Lmo4X7ooYfql/3gBz8ogvfDDz+8xBrumMqfaDRJF7gBAABoaYG7ok3K+/XrlzbeeOMGyzbaaKM0efLkJW7fpUuX4gmVTwAAANASVTRwRw/lL774YoNlL730UlpjjTUqViYAAABo9YH7hBNOSI888kg6//zz0yuvvJJ++9vfpiuvvDIde+yxlSwWAAAAtO7Avc0226Rx48alG2+8MW266abp3HPPTZdddlkaNmxYJYsFAAAAn1tFO01bljerAwAAQLvpNA0AAADaKoEbAAAAMhC4AQAAIAOBGwAAADIQuAEAACADgRsAAAAyELgBAAAgA4EbAAAAMhC4AQAAIAOBGwAAADIQuAEAACADgRsAAAAyELgBAAAgA4EbAAAAMhC4AQAAoKUE7gULFqQJEyakMWPGpJkzZxbL3n777TRr1qzmLh8AAAC0Sh2b+guvv/562mOPPdLkyZPT3Llz06677pp69OiRLrzwwmL+iiuuyFNSAAAAaMs13Mcdd1zaeuut0wcffJC6detWv3y//fZLEydObO7yAQAAQPuo4b7//vvTQw89lDp37txg+Zprrpneeuut5iwbAAAAtJ8a7tra2rRw4cLFlr/55ptF03IAAADgMwTu3XbbLV122WX181VVVUVnaWeffXbac889m7t8AAAA0CpVlUqlUlN+IWqyd9999xS/9vLLLxf3c8fP3r17p7/+9a+pT58+aVmZMWNG6tmzZ5o+fXqqqalZZo8LAABA+zSjCTm0yYG7bliw3/3ud+npp58uare33HLLNGzYsAadqC0LAjcAAABtKnC3FAI3AAAALTWHNvke7lGjRqVrr712seWxLMbiBgAAAD5D4B4zZkzacMMNF1u+ySabpCuuuKK5ygUAAADtK3BPnTo19evXb7HlK6+8cpoyZUpzlQsAAADaV+AeMGBAevDBBxdbHsv69+/fXOUCAACAVq1jU3/hyCOPTMcff3yaP39+2mWXXYplEydOTKeeemo66aSTcpQRAAAA2n7gPuWUU9J7772XjjnmmDRv3rxiWdeuXdNpp52WRowYkaOMAAAA0Op85mHBYvztF154oRh7e7311ktdunRJy5phwQAAAGipObTJNdx1unfvnrbZZpvP+usAAADQpjU5cH/00UfpggsuKO7bnjZtWqqtrW2w/p///Gdzlg8AAADaR+D+7//+73TfffelQw89tBgerKqqKk/JAAAAoD0F7vHjx6fbb7897bDDDnlKBAAAAO1xHO5evXqlFVdcMU9pAAAAoL0G7nPPPTedddZZafbs2XlKBAAArURtqZTmLlxQP8U8wGduUn7JJZekV199Na2yyippzTXXTJ06dWqw/u9//3tTdwkAAK3O9Hlz0uhJE9PUOTPql/XtVpNOHDgo9ezcraJlA1pp4N53333zlAQAAFpR2L746Qnp3x/ParB82pyZxfKTNx8sdAOpqlRqve1emjLgOAAANIdoNj7yiduLcF2bFv8qXZ2qUp9uPdLZWw1N1Ub0gTanKTm0yfdwAwBAeza/dmHRjHxJYTvE8lgf2wHtW5OblC9cuDBdeuml6aabbkqTJ09O8+bNa7D+/fffb87yAQAAQKvU5BrukSNHptGjR6eDDjqoqEI/8cQT0/7775+qq6vTOeeck6eUAAAA0NYD9w033JCuuuqqdNJJJ6WOHTumgw8+OF199dXFUGGPPPJInlICAEAL0am6Q9EbedyrvSSxPNbHdkD71uTAPXXq1LTZZpsV/+/evXtRyx322muvdPvttzd/CQEAoAWJjtBi6K/eXbsvFrpjPpbHeh2mAU0O3KuttlqaMmVK8f911lkn3XnnncX/H3vssdSlS5fmLyEAALQwMeRXDP0VvZGXi3lDggGfudO0/fbbL02cODFtu+226fvf/3465JBD0jXXXFN0oHbCCSc0dXcAANAqRaiOob/KeyOPZuRqtoFmG4f74YcfLqb11lsv7b333mlZMg43AAAALTWHNrmGe1HbbbddMQEAAABNDNy33XZbGjJkSOrUqVPx/0/zta99rTG7BAAAgDatUU3KY4zt6J28T58+xf8/cWdVVWnhwv/cw5KbJuUAAAC06ibltbW1S/w/AAAA0AzDgs2fPz8NGjQovfzyy035NQAAAGh3mhS44x7uSZMm5SsNAAAAtMfAHerG3QYAAACacViwBQsWpGuvvTZNmDAhbbXVVmn55ZdvsH706NFN3SUAAAC0OU0O3M8++2zacssti/+/9NJLi/VSDgAAAHyGwH3PPffkKQkAAAC053u4AQAAgAw13OHxxx9PN910U5o8eXKaN29eg3W33HLLZ9klAAAAtO8a7rFjx6btt98+vfDCC2ncuHHF2NzPPfdcuvvuu1PPnj3zlBIAAADaeuA+//zz06WXXpr++Mc/ps6dO6ef/exn6R//+Ec68MAD0+qrr56nlAAAANDWA/err76ahg4dWvw/AvdHH31U9E5+wgknpCuvvDJHGQEAAKDtB+5evXqlmTNnFv9fddVVi2HCwocffphmz57dpH2dc845RVgvnzbccMOmFgkAAABab6dpEaw33XTTtNNOO6W77rorbbbZZumAAw5Ixx13XHH/diwbNGhQkwuwySabpAkTJvynQB0/Uz9uAAAA0KI0Ot0OHDgwbbPNNmnfffctgnb44Q9/mDp16pQeeuih9PWvfz396Ec/anoBOnZMffv2bfLvAQAAQJtoUn7fffcVtdGjRo1KG220URo+fHh68MEH0+mnn55uu+22dMkllxTNzZvq5ZdfTv37909rr712GjZsWDHUGAAAALR2VaVSqdSUX4hO0mIM7uuvvz7df//9ad11103f/va3iwDe1Jrq8ePHp1mzZqUNNtggTZkyJY0cOTK99dZbRfP1Hj16LLb93Llzi6nOjBkz0oABA9L06dNTTU1Nkx4bAAAAmipyaAyJ3Zgc2uTAXe6VV15J1113Xfr1r3+dpk6dmvbYY4+itvuzio7X1lhjjTR69OgixC+pk7UI5YsSuAEAAGhTgbuuxvuGG25II0aMKALzwoULP8/uivvEBw8eXDRdX5QabgAAAFpL4G7ysGB1/vrXv6bDDz+8aEZ+yimnpP3337+4p/vziOblMc53v379lri+S5cuxRMqnwAAAKAlatIYXG+//XZx73ZM0Zx8++23Tz//+c/TgQcemJZffvkmP/jJJ5+c9t5776IZeez77LPPTh06dEgHH3xwk/cFAAAArTJwDxkypBgvu3fv3umwww5LRxxxRNHZ2efx5ptvFuH6vffeSyuvvHLacccd0yOPPFL8HwCgPastldL82v/cqtepukOqrqqqaJkAyBS4Y7ztm2++Oe21115FLXRzGDt2bLPsBwCgLZk+b04aPWlimjpnRv2yvt1q0okDB6WenbtVtGwANN7n7jSttdysDgDQWsL2xU9PSP/+eFaqTf/5mladqlLvrt3TyZsPFroB2nqnaQAANH8z8qjZXjRsF+tSqVge62M7AFo+gRsAoIWIe7ajGfmiYbtOLI/15fd2A9ByCdwAAACQgcANAAAAGQjcAAAtRAz9Fb2RRwdpSxLLY31sB0DLJ3ADALQQMc52DP0VvZEvGrrreimP9cbjBmgdBG4AgBYkhvyKob/6dOvRYHnMGxIMoHXpWOkCAADQUITqs7ca2qA38mhGrmYboHURuAEAWqAI1106+KoG0JppUg4AAAAZCNwAAACQgcANAAAAGQjcAAAAkIHADQAAABkI3AAAAJCBwA0AAAAZCNwAAACQgcANAAAAGQjcAAAAkIHADQAAABkI3AAAAJCBwA0AAAAZCNwAAACQgcANAAAAGQjcAAAAkIHADQAAABkI3AAAAJCBwA0AAAAZCNwAAACQgcANAAAAGQjcAAAAkIHADQAAABkI3AAAAJCBwA0AAAAZCNwAAACQgcANAAAAGQjcAAAAkIHADQAAABkI3AAAAJCBwA0AAAAZCNwAAACQgcANAAAAGQjcAAAAkIHADQAAABkI3AAAAJCBwA0AAAAZCNwAAACQgcANAAAAGQjcAAAAkIHADQAAABkI3AAAAJCBwA0AAAAZCNwAAACQgcANAAAAGQjcAAAAkIHADQAAABkI3AAAAJCBwA0AAAAZCNwAAACQgcANAAAAGQjcAAAAkIHADQAAABkI3AAAANCWA/cFF1yQqqqq0vHHH1/pogAAAEDbCNyPPfZYGjNmTBo4cGCliwIAAABtI3DPmjUrDRs2LF111VWpV69elS4OAAAAtI3Afeyxx6ahQ4emwYMHL3XbuXPnphkzZjSYAAAAoCXqWMkHHzt2bPr73/9eNClvjFGjRqWRI0dmLxcAAAC02hruN954Ix133HHphhtuSF27dm3U74wYMSJNnz69fop9AAAAQEtUVSqVSpV44FtvvTXtt99+qUOHDvXLFi5cWPRUXl1dXTQfL1+3JNGkvGfPnkX4rqmpWQalBgAAoD2b0YQcWrEm5YMGDUrPPPNMg2Xf+ta30oYbbphOO+20pYZtAAAAaMkqFrh79OiRNt100wbLll9++bTSSistthwAAABam4r3Ug4AAABtUUV7KV/UvffeW+kiAAAAQLNQww0AAAAZCNwAAACQgcANAAAAGQjcAAAAkIHADQAAABkI3AAAAJCBwA0AAAAZCNwAAACQgcANAAAAGQjcAAAAkIHADQAAABkI3AAAAJCBwA0AAAAZCNwAAACQgcANAAAAGQjcAAAAkIHADQAAABkI3AAAAJCBwA0AAAAZCNwAAACQgcANAAAAGQjcAAAAkIHADQAAABkI3AAAAJCBwA0AAAAZCNwAAACQgcANAAAAGXTMsVMAoOWqLZXS/NqF9fOdqjuk6qqqipYJANoigRsA2pHp8+ak0ZMmpqlzZtQv69utJp04cFDq2blbRcsGAG2NJuUA0I7C9sVPT0jT5sxssDzmY3msBwCaj8ANAO2kGXnUbP/741mpNpUarkulYnmsj+0AgOYhcANAOxD3bEcz8kXDdp1YHuvL7+0GAD4fgRsAAAAyELgBAAAgA4EbANqBGPoreiOvTkse/iuWx/rYDgBoHgI3ALQDMc52DP3Vu2v3xUJ3zMfyWG88bgBoPgI3ALQTMc72yZsPTn269WiwPOZjuXG4AaB5dWzm/QEALViE6rO3GtqgN/JoRq5mGwCan8ANAO1MhOsuHXwFAIDcNCkHAACADARuAAAAyEDgBgAAgAwEbgAAAMhA4AYAAIAMBG4AAADIQOAGAACADARuAAAAyEDgBgAAgAwEbgAAAMhA4AYAAIAMBG4AAADIQOAGAACADARuAAAAyEDgBgAAgAwEbgAAAMhA4AYAAIAMBG4AAADIQOAGAACADARuAAAAyEDgBgAAgAwEbgAAAMigY46dAtA+1ZZKaX7twvr5TtUdUnVVVUXLBABQKQI3CAnQLKbPm5NGT5qYps6ZUb+sb7eadOLAQaln524VLRsAQLtrUn755ZengQMHppqammLabrvt0vjx4ytZJNppSBj5xO3pBw/dVD/FfCwHGifeLxc/PSFNmzOzwfKYj+XeTwBAe1TRwL3aaqulCy64ID3xxBPp8ccfT7vsskvaZ5990nPPPVfJYtGOCAnQPC1Eomb73x/PSrWp1HBdKhXLY31sBwDQnlQ0cO+9995pzz33TOutt15af/3103nnnZe6d++eHnnkkUoWi3ZCSIDmEbdjRDPyRd9HdWJ5rC+/bQMAoD1oMb2UL1y4MI0dOzZ99NFHRdNyyE1IAAAA2nSnac8880wRsD/++OOidnvcuHFp4403XuK2c+fOLaY6M2b8p2MeAAAAaEkqXsO9wQYbpKeeeio9+uij6eijj07Dhw9Pzz///BK3HTVqVOrZs2f9NGDAgGVeXgAail79ozfy6rTknv1jeayP7QAA2pOqUqll3aA6ePDgtM4666QxY8Y0qoY7Qvf06dOLXs6hKeLe7OiNPDpIW1Kz8ggJfbr1SGdvNdQQYdDIDggX7RMh3ke9u3ZPJ28+2NBgAECbEDk0KoAbk0MrXsO9qNra2gahulyXLl3qhxCrm+CzihAd4wNHGFi0Zq4uJMR6YRuWLsJ0hOq4SFUu5oVtAKC9qug93CNGjEhDhgxJq6++epo5c2b67W9/m+699970l7/8pZLFoh2GhOiNPDpIKw8JEbaFBGi8eL9Ei5DyjgajGbmLVgBAe1XRwD1t2rR02GGHpSlTphRV8gMHDizC9q677lrJYtHOCAnQfOJ906VDxfvjBABoESr6reiaa66p5MNDPSEBAABobi3uHm4AAABoCwRuAAAAyEDgBgAAgAwEbgAAAMhA4AYAAIAMBG4AAADIQOAGAACADARuAAAAyEDgBgAAgAwEbgAAAMhA4AYAAIAMBG4AAADIQOAGAACADARuAAAAyEDgBgAAgAwEbgAAAMhA4AYAAIAMBG4AAADIQOAGAACADARuAAAAyEDgBgAAgAwEbgAAAMhA4AYAAIAMBG4AAADIoGOOnfIftaVSml+7sH6+U3WHVF1VVdEyAQAAkJ/AndH0eXPS6EkT09Q5M+qX9e1Wk04cOCj17NytomWD1sgFLAAAWhOBO2PYvvjpCenfH89qsHzanJnF8pM3Hyx0QxO4gAUAQGvjHu5MtXARDCJs16ZSw3WpVCyP9bEd0PgLWHHBakkXsGI9AAC0NAJ3BtHkNWrhFg3bdWJ5rC9vGgssmQtYAAC0VgI30KK5gAUAQGslcAMAAEAGAncG0XNydOZUnZbce3Isj/WxHQAAAG2TwJ1BDFMUPSf37tp9sdAd87E81hvOCJbOBSwAAForgTuTGKYohv7q061Hg+Uxb0gwaDwXsAAAaK2qSqXW27XvjBkzUs+ePdP06dNTTU1Naomi5+TyzpyiFk4wgKYzDjcAAK0th3ZcZqVqpyJcd+ngMMPnFaH67K2GuoAFAECrIQkCrYYLWAAAtCbu4QYAAIAMBG4AAADIQOAGAACADARuAAAAyEDgBgAAgAwEbgAAAMhA4AYAAIAMBG4AAADIQOAGAACADARuAAAAyEDgBgAAgAwEbgAAAMhA4AYAAIAMOqZWrFQqFT9nzJhR6aIAAADQDsz4//mzLo+22cA9c+bM4ueAAQMqXRQAAADakZkzZ6aePXt+6jZVpcbE8haqtrY2vf3226lHjx6pqqqq0sVpMVdb4gLEG2+8kWpqaipdHCrM+UA55wPlnA+Ucz5QzvlAOefD4iJCR9ju379/qq6ubrs13PHkVltttUoXo0WKN4M3BHWcD5RzPlDO+UA55wPlnA+Ucz40tLSa7To6TQMAAIAMBG4AAADIQOBuY7p06ZLOPvvs4ic4HyjnfKCc84FyzgfKOR8o53z4fFp1p2kAAADQUqnhBgAAgAwEbgAAAMhA4AYAAIAMBG4AAADIQOCusHPOOSdVVVU1mDbccMP69R9//HE69thj00orrZS6d++evv71r6d33nmnwT4mT56chg4dmpZbbrnUp0+fdMopp6QFCxY02Obee+9NW265ZdG74Lrrrpuuv/76xcryy1/+Mq255pqpa9euadttt01/+9vfMj5zwl//+te09957p/79+xev/a233tpgffRpeNZZZ6V+/fqlbt26pcGDB6eXX365wTbvv/9+GjZsWKqpqUkrrLBC+va3v51mzZrVYJtJkyalL3/5y8VrO2DAgHTRRRctVpbf//73xbkX22y22WbpjjvuaHJZyHs+HH744Yt9Xuyxxx4NtnE+tB2jRo1K22yzTerRo0fx2b7vvvumF198scE2LelvRGPKQt7z4Stf+cpinxHf/e53G2zjfGgbLr/88jRw4MDisz6m7bbbLo0fP75+vc+G9mVp54PPhgqLXsqpnLPPPru0ySablKZMmVI/vfvuu/Xrv/vd75YGDBhQmjhxYunxxx8vfelLXyptv/329esXLFhQ2nTTTUuDBw8uPfnkk6U77rij1Lt379KIESPqt/nnP/9ZWm655Uonnnhi6fnnny/94he/KHXo0KH05z//uX6bsWPHljp37ly69tprS88991zpyCOPLK2wwgqld955ZxkejfYnXq8f/vCHpVtuuSVGCyiNGzeuwfoLLrig1LNnz9Ktt95aevrpp0tf+9rXSmuttVZpzpw59dvssccepc0337z0yCOPlO6///7SuuuuWzr44IPr10+fPr20yiqrlIYNG1Z69tlnSzfeeGOpW7dupTFjxtRv8+CDDxbnxEUXXVScIz/60Y9KnTp1Kj3zzDNNKgt5z4fhw4cXr3f558X777/fYBvnQ9ux++67l6677rridXrqqadKe+65Z2n11VcvzZo1q0X+jVhaWch/Puy8887Fa1P+GRHv+TrOh7bjtttuK91+++2ll156qfTiiy+WzjjjjOJzOs6P4LOhfVna+eCzobIE7hYQuOPL8ZJ8+OGHxZvl97//ff2yF154ofgi/vDDDxfz8Yaorq4uTZ06tX6byy+/vFRTU1OaO3duMX/qqacWob7cQQcdVPzxrvPFL36xdOyxx9bPL1y4sNS/f//SqFGjmvHZ8mkWDVi1tbWlvn37ln760582OCe6dOlShKQQH3jxe4899lj9NuPHjy9VVVWV3nrrrWL+f/7nf0q9evWqPx/CaaedVtpggw3q5w888MDS0KFDG5Rn2223LX3nO99pdFloXp8UuPfZZ59P/B3nQ9s2bdq04vW97777WtzfiMaUhbznQ92X6uOOO+4Tf8f50LbFZ/vVV1/ts4EG50Pw2VBZmpS3ANEMM5qQrr322kVT0GjSEZ544ok0f/78oqlmnWjiufrqq6eHH364mI+f0dxzlVVWqd9m9913TzNmzEjPPfdc/Tbl+6jbpm4f8+bNKx6rfJvq6upivm4blr3XXnstTZ06tcHr0rNnz6J5TvnrH82Gt9566/ptYvt4/R599NH6bXbaaafUuXPnBq9/NEX84IMPGnWONKYsLBvRnCuaem2wwQbp6KOPTu+99179OudD2zZ9+vTi54orrtji/kY0pizkPR/q3HDDDal3795p0003TSNGjEizZ8+uX+d8aJsWLlyYxo4dmz766KOiKbHPhvZt0fOhjs+GyulYwccmpeILatz/EF+ep0yZkkaOHFncW/nss88WX2jjS3F8gS4Xb4ZYF+Jn+Zujbn3duk/bJt5Ec+bMKb5kx5tzSdv84x//yPK8Wbq6129Jr0v5axvhq1zHjh2LL2Dl26y11lqL7aNuXa9evT7xHCnfx9LKQn5xv/b+++9fvJ6vvvpqOuOMM9KQIUOKP1IdOnRwPrRhtbW16fjjj0877LBD8WUptKS/EY0pC3nPh/DNb34zrbHGGsVF/Oir4bTTTisupt1yyy3FeudD2/LMM88UgSruiY17YceNG5c23njj9NRTT/lsaIc+6XwIPhsqS+CusPiyXCc6O4gAHm+Im266qeiICKDOf/3Xf9X/P65Ex2fGOuusU9R6Dxo0qKJlI6/oYCYuxD7wwAOVLgot+Hw46qijGnxGRKeG8dkQF+jis4K2JSprIlxHa4ebb745DR8+PN13332VLhYt7HyI0O2zobI0KW9h4orP+uuvn1555ZXUt2/fonnGhx9+2GCb6Mkv1oX4uWjPfnXzS9smejGMUB/NS6J2bEnb1O2DZa/u2H/a6xI/p02b1mB99CgZPVU3xzlSvn5pZWHZi9tQ4v0bnxfB+dA2fe9730t/+tOf0j333JNWW221+uUt6W9EY8pC3vNhSeIifij/jHA+tB1RUxg9RW+11VZFL/abb755+tnPfuazoZ36pPNhSXw2LFsCdwsTw/fE1aa48hRvmE6dOqWJEyfWr4/mH3GPd909GfEzmpCUf8m+6667ipO/rhlJbFO+j7pt6vYRb9B4rPJtorlazJff+8GyFc1+48On/HWJZjtxL2756x8fWnFPTJ277767eP3qPkxjmxhuKu6ZKX/940poNB9uzDnSmLKw7L355pvFPdzxeRGcD21L9J0X4SqaBcbruOitAC3pb0RjykLe82FJorYrlH9GOB/arngd5s6d67OBBufDkvhsWMYq3Glbu3fSSSeV7r333tJrr71WDMUT3fFHN/zR+2hd1/kx7Mfdd99ddJ2/3XbbFdOi3fjvtttuxTAh0TX/yiuvvMRu/E855ZSiJ8Bf/vKXS+zGP3oYvv7664uejo866qiiG//y3gppfjNnziyGX4gp3o6jR48u/v/666/XD70Ur8Mf/vCH0qRJk4oeqpc0LNgWW2xRevTRR0sPPPBAab311mswDFT0CBnDQB166KHF8BDxWsf5sOgwUB07dixdfPHFxTkSvecvaRiopZWFfOdDrDv55JOLXjzj82LChAmlLbfcsni9P/744/p9OB/ajqOPProYei3+RpQP5TJ79uz6bVrS34illYW858Mrr7xS+vGPf1wc+/iMiPfm2muvXdppp53q9+F8aDtOP/30oof6eK3jMzjmY0SKO++8s1jvs6F9+bTzwWdD5QncFRbd6ffr168Ys27VVVct5uONUSe+vB5zzDFF1/5xku+3337FH9hy//rXv0pDhgwpxtKNsB4hfv78+Q22ueeee0pf+MIXiseJN1mM5bmoGE8v3gCxTXTrH+P4kle8LhGsFp1i+Ke64ZfOPPPMIiDFB9igQYOK8RXLvffee0Wg6t69ezF8w7e+9a0inJWLcZJ33HHHYh9xnkVYWtRNN91UWn/99YvXP4Z9iPEcyzWmLOQ7H+JLdfwhjD+AEX7XWGONYnzLRS+KOR/ajiWdCzGVf363pL8RjSkL+c6HyZMnF1+gV1xxxeI9ue666xZfjMvH2g3Oh7bhiCOOKP4OxPGPvwvxGVwXtoPPhvbl084Hnw2VVxX/LOtadQAAAGjr3MMNAAAAGQjcAAAAkIHADQAAABkI3AAAAJCBwA0AAAAZCNwAAACQgcANAAAAGQjcANCKVFVVpVtvvbXSxQAAGkHgBoAW4PDDDy/CdEydOnVKq6yyStp1113Ttddem2pra+u3mzJlShoyZEij9imcA0BlCdwA0ELsscceRaD+17/+lcaPH5+++tWvpuOOOy7ttddeacGCBcU2ffv2TV26dKl0UQGARhC4AaCFiCAdgXrVVVdNW265ZTrjjDPSH/7whyJ8X3/99YvVWs+bNy9973vfS/369Utdu3ZNa6yxRho1alSxbs011yx+7rfffsXv1M2/+uqraZ999ilq0Lt375622WabNGHChAbliG3PP//8dMQRR6QePXqk1VdfPV155ZUNtnnzzTfTwQcfnFZcccW0/PLLp6233jo9+uij9euj3PEcolxrr712GjlyZP1FAwBoLwRuAGjBdtlll7T55punW265ZbF1P//5z9Ntt92WbrrppvTiiy+mG264oT5YP/bYY8XP6667rqg1r5ufNWtW2nPPPdPEiRPTk08+WdSq77333mny5MkN9n3JJZcUITq2OeaYY9LRRx9dPEbdPnbeeef01ltvFY//9NNPp1NPPbW+6fv999+fDjvssKJ2/vnnn09jxowpLhicd9552Y8XALQkHStdAADg02244YZp0qRJiy2PkLzeeuulHXfcsajFjhruOiuvvHLxc4UVVihqzetEeI+pzrnnnpvGjRtXBOeoLa8ToTyCdjjttNPSpZdemu655560wQYbpN/+9rfp3XffLUJ81HCHddddt/53ozb79NNPT8OHDy/mo4Y7HidC+dlnn93MRwcAWi6BGwBauFKpVATqJXW0Fh2rRQiOmuq413u33Xb71H1F7fQ555yTbr/99qLmO5p5z5kzZ7Ea7oEDB9b/Px47Qvu0adOK+aeeeiptscUW9WF7UVHj/eCDDzao0V64cGH6+OOP0+zZs9Nyyy3X5GMAAK2RwA0ALdwLL7yQ1lprrcWWxz3Sr732WnGPd9yHfeCBB6bBgwenm2+++RP3dfLJJ6e77rorXXzxxUWtdLdu3dI3vvGN4n7wctFTerkI3XVNxuN3lhbqo5Z7//33X2xd3NMNAO2FwA0ALdjdd9+dnnnmmXTCCScscX1NTU066KCDiimCc9R0v//++0Xtc4TmqFkuFzXPUTMenanVhePoFb0povb76quvrn+cJV0IiPu9y5uZA0B7JHADQAsxd+7cNHXq1CIkv/POO+nPf/5z0et4NBWPTsgWNXr06KKH8mjeXV1dnX7/+98XTb/jvu0QHahF52g77LBD0QN6r169inu+owO26Cgtaq3PPPPMBuN8N0b0Th69mO+7775F+aIM0bla//7903bbbZfOOuusoszRu3lcBIiyRTPzZ599Nv3kJz9ptuMFAC2dXsoBoIWIgB3hNYJy1FRHJ2XRE3kMsdWhQ4fFto8huy666KKiN/EY3itqqu+4444i4Nb1NB7NxwcMGFCE8rqQHsF7++23L0L37rvvXtRIN0Xnzp3TnXfemfr06VN0rrbZZpulCy64oL6Msc8//elPxTZRri996UtFp2vlnboBQHtQVYqeWAAAAIBmpYYbAAAAMhC4AQAAIAOBGwAAADIQuAEAACADgRsAAAAyELgBAAAgA4EbAAAAMhC4AQAAIAOBGwAAADIQuAEAACADgRsAAAAyELgBAAAgNb//B7cMA0Ho4z7aAAAAAElFTkSuQmCC" }, "metadata": {}, "output_type": "display_data" } ], "execution_count": 12 }, { "metadata": {}, "cell_type": "markdown", "source": "### Case 5: Isotropic variogram - no leading direction", "id": "c051fffb957cb4eb" }, { "metadata": { "ExecuteTime": { "end_time": "2025-12-21T14:57:05.961473Z", "start_time": "2025-12-21T14:57:05.834167Z" } }, "cell_type": "code", "source": [ "exp_var = ExperimentalVariogram(\n", " values=df[VALUE_COL],\n", " geometries=df['geometry'],\n", " step_size=SEMI_MAJOR_AXIS_SIZE,\n", " max_range=MAX_RANGE\n", ")\n", "exp_var.plot(semivariance=True, covariance=False, variance=False)" ], "id": "7e729cef114f4958", "outputs": [ { "data": { "text/plain": [ "
" ], "image/png": 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" }, "metadata": {}, "output_type": "display_data" } ], "execution_count": 13 }, { "metadata": {}, "cell_type": "markdown", "source": [ "## 3. Compare semivariograms\n", "\n", "We have created a set of variograms. What do we observe?\n", "\n", "- The **NE-SW** variogram is very weak at describing a short-range variation (compare it to the map of air pollution from the beginning of the tutorial. Points in this direction are relatively similar).\n", "- The **N-S** variogram works well for a short range.\n", "- The **W-E** variogram catches too much variability, and lags must be longer for this direction.\n", "- The **NW-SE** variogram looks good and shows approximately linear variability change in a distance function. It has the smallest variance from all variograms.\n", "\n", "We can visualize and compare all variograms simultaneously, and we are sure that the y-axis is the same for every plot. We will use special class of `DirectionalVariogram` to calculate semivariances in all directions at once!" ], "id": "8487705e4aedf914" }, { "metadata": { "ExecuteTime": { "end_time": "2025-12-21T14:57:06.199607Z", "start_time": "2025-12-21T14:57:05.976944Z" } }, "cell_type": "code", "source": [ "dir_var = DirectionalVariogram(\n", " values=df[VALUE_COL],\n", " geometries=df['geometry'],\n", " step_size=SEMI_MAJOR_AXIS_SIZE,\n", " max_range=MAX_RANGE,\n", " tolerance=TOLERANCE\n", ")" ], "id": "3a3cacf696518ac4", "outputs": [], "execution_count": 14 }, { "metadata": { "ExecuteTime": { "end_time": "2025-12-21T14:57:06.611242Z", "start_time": "2025-12-21T14:57:06.327858Z" } }, "cell_type": "code", "source": "dir_var.show()", "id": "c40636fd2a921f24", "outputs": [ { "data": { "text/plain": [ "
" ], "image/png": 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" }, "metadata": {}, "output_type": "display_data" } ], "execution_count": 15 }, { "metadata": {}, "cell_type": "markdown", "source": "In your opinion, which semivariogram model is optimal? Should we pick isotropic (omnidirectional) variogram, or one of directional variograms? I'd check how variograms behave at a close distances - in this comparison **NE-SW** shouldn't be used. But any decision is not definitive, the best what we can do is to perform cross validation on different directional variograms and with different step sizes (bins width).", "id": "f441151161473423" }, { "metadata": {}, "cell_type": "markdown", "source": [ "## Changelog\n", "\n", "| Date | Changes | Author |\n", "|------------|----------------------------------------------|----------------------------------|\n", "| 2025-11-07 | Used **values** and **geometries** parameters instead of **ds** in the experimental variogram initialization | @SimonMolinsky (Szymon Moliński) |\n", "| 2025-09-16 | Removed `dir_neighbors_selection_method` parameter | @SimonMolinsky (Szymon Moliński) |\n", "| 2025-04-24 | Tutorial has been adapted to the 1.0 release | @SimonMolinsky (Szymon Moliński) |" ], "id": "7ad38e1c97ba6d27" } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.6" } }, "nbformat": 4, "nbformat_minor": 5 }