{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "During hydrodynamic modelling in data-scarce areas, we frequently observe problems with the used space-based elevation records such as SRTM. Very popular ways of dealing with this in hydrology is to simply dig a very deep channel that carves through the landscape, or fill up pit cells at places where known channels are located, to ensure that water always eventually flows into the ocean.\n", "\n", "For hydraulics (in particular 1D modelling), hydraulic connectivity is very important and care should be taken that the elevation along the river network is as realistically as possible. 1D drainage networks based upon space-borne elevation usually follow more or less the centrelines of channels, but problems occur if channel elevation profiles are obscure due to vegetaion within the channel, noise or islands. This problem was recognized by Yamazaki et al. and an approach to carefully dig and fill elevation to fix this was developed. Yamazaki's algorithm was reprogrammed in python by Hessel Winsemius and Tarasinta Perwitasari and can now be applied on any gridded elevation dataset with drainage network.\n", "\n", "This notebook explains the problem further and shows how the hydrotools digging and filling algorithm (dem_fill_dig) works with an example over Curacao.\n" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [], "source": [ "import hydrotools.gis as gis\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import dem_fill_dig_strahler as dem_fill_new\n", "import time\n", "%matplotlib inline" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's load an elevation model and drainage direction data. These need to have the same number of rows/columns and be on the same geographical region (of course...). Here we use PCRaster based drainage directions, but the array of drainage directions can also be defined using a 3x3 numpy array.\n", "\n", "We'll make a quick plot to see our data" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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bPxWB+cCJYOAgcBXIDHV6wi5wdvQnKso7VfsnBKS8KdoUmvIyDe5yK+1ZzBHD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\nbTkuh9l/HaNSwApjzFZgHTBPRJZfr/kCL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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "dem_file = r'data\\curacao_dem.map'\n", "ldd_file = r'data\\curacao_ldd.map'\n", "x, y, dem, dem_fill = gis.gdal_readmap(dem_file, 'PCRaster')\n", "x, y, ldd, ldd_fill = gis.gdal_readmap(ldd_file, 'PCRaster')\n", "\n", "plt.figure(figsize=(10,6))\n", "plt.subplot(121)\n", "plt.imshow(np.ma.masked_equal(dem, dem_fill), vmin=0., vmax=50)\n", "plt.colorbar()\n", "plt.subplot(122)\n", "plt.imshow(np.ma.masked_equal(ldd, ldd_fill))\n", "plt.colorbar()\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "now let's investigate some points a bit further, we made a nice function that can retrieve the downstream point along a stream line. So we can extract the whole streamline, giving only a starting point of the stream. We will end at a pit cell. From this list we can extract the elevation like so:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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B9F2buOeWuyZNCvsQvfVWbCGJFFw+Gh5IkWrcGP78Z7joIi3qFqnN1luHNq+v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\n3ttV1X17f2vddWs8e9fpql+dYdc5fPe7MGhQCO9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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "some_points_upstream = [(111, 100), (286, 373), (130, 109)]\n", "pit = 5 # this is the number attributed to a pit cell\n", "plt.figure(figsize=(14, 4))\n", "\n", "for n, point_up in enumerate(some_points_upstream):\n", " plt.subplot(1, 3, n + 1)\n", " # find the whole stream line and retrieve elevation\n", " idx_down = [point_up]\n", " idx_next = gis.find_downstream(ldd, point_up[0], point_up[1])\n", " while ldd[idx_next] != pit:\n", " idx_down.append(idx_next)\n", " idx_next = gis.find_downstream(ldd, idx_next[0], idx_next[1])\n", "\n", " # now we have a bunch of idxs, get the elevation and plot!\n", " plt.plot(dem[zip(*idx_down)])\n", " plt.xlabel('upstream point {:s}'.format(str(point_up)))\n", " plt.ylabel('Elevation along profile')\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "These figures clearly demonstrate the problem: there are bumps in the elevation along the stream line that will certaintly compromise hydraulic simulations. The 'bumps' may be due to insufficient resolution (the case here in Curacao given the coarse resolution of the elevation of about 100 meter and the small dimensions of channels, about ~10 meter) or due to islands, vegetation or even elevation data noise. Now let's try to solve this problem. The function dem_fill_dig will dig out or fill elevation pixels along stream lines sequentially across all streamlines within the elevation domain. Whether you prefer digging or filling can be established with penalty weights. A high penalty weight for digging means that the algorithm will prefer filling pixels, while the reverse is true for a high penalty weight for filling." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "First we use the old algorithm to produce a filled dem and check amount of time needed" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Preparing new dem\n", "Old algorithm took 9.38600 seconds\n" ] } ], "source": [ "a = time.time()\n", "dem_mod = gis.dem_fill_dig(dem, ldd, dem_fill, ldd_fill, pit, weight_fill=1.,\n", " weight_dig=5., z_int=0.05,\n", " flow_dirs=np.array([[7, 8, 9], [4, 5, 6], [1, 2, 3]]))\n", "b = time.time()\n", "print('Old algorithm took {:1.5f} seconds'.format(b-a))" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Preparing strahler order 1 with 16143 start points\n", "Preparing new dem\n", "Preparing Strahler order map\n", "Preparing strahler order 2 with 3416 start points\n", "Preparing strahler order 3 with 751 start points\n", "Preparing strahler order 4 with 168 start points\n", "Preparing strahler order 5 with 32 start points\n", "Preparing strahler order 6 with 4 start points\n", "Filling missing data\n", "New algorithm took only 6.02400 seconds. Haha!!!\n" ] } ], "source": [ "a = time.time()\n", "dem_mod_new, strahler = dem_fill_new.dem_fill_dig(dem, ldd, dem_fill, ldd_fill, pit, weight_fill=1.,\n", " weight_dig=5., z_int=0.05,\n", " flow_dirs=np.array([[7, 8, 9], [4, 5, 6], [1, 2, 3]]))\n", "b = time.time()\n", "print('New algorithm took only {:1.5f} seconds. Haha!!!'.format(b-a))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's investigate what the two modified DEMs look like compared to the original. First we make 2 difference plots between the old and new dem" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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+O2am+Oie6Zxbd7HG3RLtwzXahxt0jtdobndobHXPvja7NOjRPD9kMKXAgBoD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Fas11NKT+I1mp7BBG/SG8wjBzCP3JV55O7MIwcwj8ygguWRcTb408FPKa6IaAG/CHx3Smnr5sdS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\nmkM2+CVJkiRJmkM2+CVJkiRJmkP/H1Xl5VoRPOYhAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(18, 10))\n", "plt.subplot(121)\n", "plt.imshow(np.ma.masked_equal(dem_mod[0:100, 0:100], dem_fill)-dem[0:100, 0:100], vmin=-2, vmax=2)\n", "#plt.figure(figsize=(10,10))\n", "#plt.imshow(np.ma.masked_equal(strahler[0:80, 0:80], dem_fill), interpolation='nearest')\n", "#strahler[np.isnan(strahler)] = dem_fill\n", "plt.colorbar()\n", "plt.subplot(122)\n", "plt.imshow(np.ma.masked_equal(dem_mod_new[0:100, 0:100], dem_fill)-dem[0:100, 0:100], vmin=-2, vmax=2)\n", "plt.colorbar()\n", "\n", "#gis.gdal_writemap('strahler.map', 'PCRaster', x, y, strahler, dem_fill)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's plot differences between old and new method" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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yZEnhJ/Uo6BuYSy65hDVr1jBp0iQyMjLIyMhgyZIlRwczNmrUiMTERCZNmkSH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\ng7rNejB5cqcMbSsScwlYPjEmFE6ehFr5S1Gp5OV8uPf8CRJSYhc5NSb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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(14, 4))\n", "\n", "for n, point_up in enumerate(some_points_upstream):\n", " plt.subplot(1, 3, n + 1)\n", " # find the whole stream line and retrieve elevation\n", " idx_down = [point_up]\n", " idx_next = gis.find_downstream(ldd, point_up[0], point_up[1])\n", " while ldd[idx_next] != pit:\n", " idx_down.append(idx_next)\n", " idx_next = gis.find_downstream(ldd, idx_next[0], idx_next[1])\n", "\n", " # now we have a bunch of idxs, get the elevation and plot!\n", " plt.plot(dem[zip(*idx_down)])\n", " plt.plot(dem_mod[zip(*idx_down)], 'r--')\n", " plt.plot(dem_mod_new[zip(*idx_down)], 'k--')\n", " plt.legend(('original', 'modified', 'mod. new'))\n", " plt.xlabel('upstream point {:s}'.format(str(point_up)))\n", " plt.ylabel('Elevation along profile')\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And a diff between old and new method" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.imshow(dem_mod-dem_mod_new, vmin=-0.5, vmax=0.5)" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 2", "language": "python", "name": "python2" }, "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": 0 }