Harmonic_Coefficients_L8_SO.ipynb

{
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    "id": "UNNPPra3u9kM",
    "jupyter": {
     "outputs_hidden": true
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   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Found existing installation: geemap 0.34.0\n",
      "Uninstalling geemap-0.34.0:\n",
      "  Would remove:\n",
      "    /usr/local/bin/geemap\n",
      "    /usr/local/lib/python3.10/dist-packages/geemap-0.34.0.dist-info/*\n",
      "    /usr/local/lib/python3.10/dist-packages/geemap/*\n",
      "Proceed (Y/n)? y\n",
      "  Successfully uninstalled geemap-0.34.0\n"
     ]
    }
   ],
   "source": [
    "#!pip uninstall geemap"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": true,
    "id": "YTy4VnJg7KSu",
    "jupyter": {
     "outputs_hidden": true
    },
    "tags": []
   },
   "outputs": [],
   "source": [
    "try:\n",
    "    import geemap, ee\n",
    "except ModuleNotFoundError:\n",
    "    if 'google.colab' in str(get_ipython()):\n",
    "        print(\"package not found, installing w/ pip in Google Colab...\")\n",
    "        !pip install geemap\n",
    "    else:\n",
    "        print(\"package not found, installing w/ conda...\")\n",
    "        !conda install mamba -c conda-forge -y\n",
    "        !mamba install geemap -c conda-forge -y\n",
    "    import geemap, ee"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
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    "jupyter": {
     "outputs_hidden": true
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    "outputId": "f3768087-374b-47b5-f358-1d0bc94c76df",
    "tags": []
   },
   "outputs": [
    {
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       "\n",
       "            <style>\n",
       "                .geemap-dark {\n",
       "                    --jp-widgets-color: white;\n",
       "                    --jp-widgets-label-color: white;\n",
       "                    --jp-ui-font-color1: white;\n",
       "                    --jp-layout-color2: #454545;\n",
       "                    background-color: #383838;\n",
       "                }\n",
       "                    \n",
       "                .geemap-dark .jupyter-button {\n",
       "                    --jp-layout-color3: #383838;\n",
       "                }\n",
       "                \n",
       "                .geemap-colab {\n",
       "                    background-color: var(--colab-primary-surface-color, white);\n",
       "                }\n",
       "                    \n",
       "                .geemap-colab .jupyter-button {\n",
       "                    --jp-layout-color3: var(--colab-primary-surface-color, white);\n",
       "                }\n",
       "            </style>\n",
       "            "
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       "<IPython.core.display.HTML object>"
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   ],
   "source": [
    "try:\n",
    "    ee.Initialize(project='ee-carlosmh290692')\n",
    "except Exception as e:\n",
    "    ee.Authenticate()\n",
    "    ee.Initialize(project='ee-carlosmh290692')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 17
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    "id": "6C7GDR3O7Idt",
    "outputId": "1fe64dd7-0909-4881-938f-8b774eae2c6d",
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "            <style>\n",
       "                .geemap-dark {\n",
       "                    --jp-widgets-color: white;\n",
       "                    --jp-widgets-label-color: white;\n",
       "                    --jp-ui-font-color1: white;\n",
       "                    --jp-layout-color2: #454545;\n",
       "                    background-color: #383838;\n",
       "                }\n",
       "                    \n",
       "                .geemap-dark .jupyter-button {\n",
       "                    --jp-layout-color3: #383838;\n",
       "                }\n",
       "                \n",
       "                .geemap-colab {\n",
       "                    background-color: var(--colab-primary-surface-color, white);\n",
       "                }\n",
       "                    \n",
       "                .geemap-colab .jupyter-button {\n",
       "                    --jp-layout-color3: var(--colab-primary-surface-color, white);\n",
       "                }\n",
       "            </style>\n",
       "            "
      ],
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       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import math\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 17
    },
    "id": "cnfvf-uE7Idw",
    "outputId": "0da4fb36-b5da-4ff4-d0fd-be54de2cb698",
    "tags": []
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   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "            <style>\n",
       "                .geemap-dark {\n",
       "                    --jp-widgets-color: white;\n",
       "                    --jp-widgets-label-color: white;\n",
       "                    --jp-ui-font-color1: white;\n",
       "                    --jp-layout-color2: #454545;\n",
       "                    background-color: #383838;\n",
       "                }\n",
       "                    \n",
       "                .geemap-dark .jupyter-button {\n",
       "                    --jp-layout-color3: #383838;\n",
       "                }\n",
       "                \n",
       "                .geemap-colab {\n",
       "                    background-color: var(--colab-primary-surface-color, white);\n",
       "                }\n",
       "                    \n",
       "                .geemap-colab .jupyter-button {\n",
       "                    --jp-layout-color3: var(--colab-primary-surface-color, white);\n",
       "                }\n",
       "            </style>\n",
       "            "
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "Map = geemap.Map(center=[40, -100], zoom=4)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 17
    },
    "id": "ptd6h4re7Idx",
    "outputId": "4a957979-5901-4ea9-e40a-281ad4fe1f8b",
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "            <style>\n",
       "                .geemap-dark {\n",
       "                    --jp-widgets-color: white;\n",
       "                    --jp-widgets-label-color: white;\n",
       "                    --jp-ui-font-color1: white;\n",
       "                    --jp-layout-color2: #454545;\n",
       "                    background-color: #383838;\n",
       "                }\n",
       "                    \n",
       "                .geemap-dark .jupyter-button {\n",
       "                    --jp-layout-color3: #383838;\n",
       "                }\n",
       "                \n",
       "                .geemap-colab {\n",
       "                    background-color: var(--colab-primary-surface-color, white);\n",
       "                }\n",
       "                    \n",
       "                .geemap-colab .jupyter-button {\n",
       "                    --jp-layout-color3: var(--colab-primary-surface-color, white);\n",
       "                }\n",
       "            </style>\n",
       "            "
      ],
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       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
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    }
   ],
   "source": [
    "# Define study area.\n",
    "TIGER = ee.FeatureCollection('TIGER/2018/Counties')\n",
    "region = ee.Feature(TIGER \\\n",
    "    .filter(ee.Filter.eq('STATEFP', '17')) \\\n",
    "    .filter(ee.Filter.eq('NAME', 'McLean')) \\\n",
    "    .first())\n",
    "geometry = region.geometry()\n",
    "Map.centerObject(region)\n",
    "Map.addLayer(region, {\n",
    "    'color': 'red'\n",
    "}, 'McLean County')\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "exSs5GXC3iy5"
   },
   "source": [
    "## Data input"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "id": "THaD8Zrj3mX8",
    "tags": []
   },
   "outputs": [
    {
     "data": {
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       "\n",
       "            <style>\n",
       "                .geemap-dark {\n",
       "                    --jp-widgets-color: white;\n",
       "                    --jp-widgets-label-color: white;\n",
       "                    --jp-ui-font-color1: white;\n",
       "                    --jp-layout-color2: #454545;\n",
       "                    background-color: #383838;\n",
       "                }\n",
       "                    \n",
       "                .geemap-dark .jupyter-button {\n",
       "                    --jp-layout-color3: #383838;\n",
       "                }\n",
       "                \n",
       "                .geemap-colab {\n",
       "                    background-color: var(--colab-primary-surface-color, white);\n",
       "                }\n",
       "                    \n",
       "                .geemap-colab .jupyter-button {\n",
       "                    --jp-layout-color3: var(--colab-primary-surface-color, white);\n",
       "                }\n",
       "            </style>\n",
       "            "
      ],
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       "<IPython.core.display.HTML object>"
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     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "lat =  40.579804398254005\n",
    "long = -88.81417685576481\n",
    "\n",
    "point = ee.Geometry.Point([long,lat])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 17
    },
    "id": "bvfI0uUl7Idx",
    "outputId": "41a8c5d5-8425-4371-81d5-cb1cd68b0e08",
    "tags": []
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   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "            <style>\n",
       "                .geemap-dark {\n",
       "                    --jp-widgets-color: white;\n",
       "                    --jp-widgets-label-color: white;\n",
       "                    --jp-ui-font-color1: white;\n",
       "                    --jp-layout-color2: #454545;\n",
       "                    background-color: #383838;\n",
       "                }\n",
       "                    \n",
       "                .geemap-dark .jupyter-button {\n",
       "                    --jp-layout-color3: #383838;\n",
       "                }\n",
       "                \n",
       "                .geemap-colab {\n",
       "                    background-color: var(--colab-primary-surface-color, white);\n",
       "                }\n",
       "                    \n",
       "                .geemap-colab .jupyter-button {\n",
       "                    --jp-layout-color3: var(--colab-primary-surface-color, white);\n",
       "                }\n",
       "            </style>\n",
       "            "
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "landsat7 = ee.ImageCollection('LANDSAT/LE07/C02/T1_L2')\n",
    "landsat8 = ee.ImageCollection('LANDSAT/LC08/C02/T1_L2')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "id": "UoD4dNUb3sGa",
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "            <style>\n",
       "                .geemap-dark {\n",
       "                    --jp-widgets-color: white;\n",
       "                    --jp-widgets-label-color: white;\n",
       "                    --jp-ui-font-color1: white;\n",
       "                    --jp-layout-color2: #454545;\n",
       "                    background-color: #383838;\n",
       "                }\n",
       "                    \n",
       "                .geemap-dark .jupyter-button {\n",
       "                    --jp-layout-color3: #383838;\n",
       "                }\n",
       "                \n",
       "                .geemap-colab {\n",
       "                    background-color: var(--colab-primary-surface-color, white);\n",
       "                }\n",
       "                    \n",
       "                .geemap-colab .jupyter-button {\n",
       "                    --jp-layout-color3: var(--colab-primary-surface-color, white);\n",
       "                }\n",
       "            </style>\n",
       "            "
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "start_date = '2020-05-01'\n",
    "end_date = '2020-11-30'\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "dUQ7wDxM3to-"
   },
   "source": [
    "## Satellite data processing"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 17
    },
    "id": "MSWNg35a7Idy",
    "outputId": "5545a5fa-5f49-44d4-98a7-63371f396d2c",
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "            <style>\n",
       "                .geemap-dark {\n",
       "                    --jp-widgets-color: white;\n",
       "                    --jp-widgets-label-color: white;\n",
       "                    --jp-ui-font-color1: white;\n",
       "                    --jp-layout-color2: #454545;\n",
       "                    background-color: #383838;\n",
       "                }\n",
       "                    \n",
       "                .geemap-dark .jupyter-button {\n",
       "                    --jp-layout-color3: #383838;\n",
       "                }\n",
       "                \n",
       "                .geemap-colab {\n",
       "                    background-color: var(--colab-primary-surface-color, white);\n",
       "                }\n",
       "                    \n",
       "                .geemap-colab .jupyter-button {\n",
       "                    --jp-layout-color3: var(--colab-primary-surface-color, white);\n",
       "                }\n",
       "            </style>\n",
       "            "
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "def renameL7(img):\n",
    "    return img.rename(['BLUE', 'GREEN', 'RED', 'NIR', 'SWIR1',\n",
    "        'SWIR2', 'TEMP1', 'ATMOS_OPACITY', 'QA_CLOUD',\n",
    "        'ATRAN', 'CDIST',\n",
    "        'DRAD', 'EMIS', 'EMSD', 'QA', 'TRAD', 'URAD',\n",
    "        'QA_PIXEL',\n",
    "        'QA_RADSAT'\n",
    "    ])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 17
    },
    "id": "Sdaf6qKM7Idy",
    "outputId": "c55fc547-88df-4075-f89b-281b3c23b2a4",
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "            <style>\n",
       "                .geemap-dark {\n",
       "                    --jp-widgets-color: white;\n",
       "                    --jp-widgets-label-color: white;\n",
       "                    --jp-ui-font-color1: white;\n",
       "                    --jp-layout-color2: #454545;\n",
       "                    background-color: #383838;\n",
       "                }\n",
       "                    \n",
       "                .geemap-dark .jupyter-button {\n",
       "                    --jp-layout-color3: #383838;\n",
       "                }\n",
       "                \n",
       "                .geemap-colab {\n",
       "                    background-color: var(--colab-primary-surface-color, white);\n",
       "                }\n",
       "                    \n",
       "                .geemap-colab .jupyter-button {\n",
       "                    --jp-layout-color3: var(--colab-primary-surface-color, white);\n",
       "                }\n",
       "            </style>\n",
       "            "
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def renameL8(img):\n",
    "    return img.rename(['AEROS', 'BLUE', 'GREEN', 'RED', 'NIR',\n",
    "        'SWIR1',\n",
    "        'SWIR2', 'TEMP1', 'QA_AEROSOL', 'ATRAN', 'CDIST',\n",
    "        'DRAD', 'EMIS',\n",
    "        'EMSD', 'QA', 'TRAD', 'URAD', 'QA_PIXEL', 'QA_RADSAT'\n",
    "    ])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 17
    },
    "id": "Ngp8EHME7Idz",
    "outputId": "ec4fd37e-b411-4b7a-a4b3-b9c39ae7bf4d",
    "tags": []
   },
   "outputs": [
    {
     "data": {
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       "\n",
       "            <style>\n",
       "                .geemap-dark {\n",
       "                    --jp-widgets-color: white;\n",
       "                    --jp-widgets-label-color: white;\n",
       "                    --jp-ui-font-color1: white;\n",
       "                    --jp-layout-color2: #454545;\n",
       "                    background-color: #383838;\n",
       "                }\n",
       "                    \n",
       "                .geemap-dark .jupyter-button {\n",
       "                    --jp-layout-color3: #383838;\n",
       "                }\n",
       "                \n",
       "                .geemap-colab {\n",
       "                    background-color: var(--colab-primary-surface-color, white);\n",
       "                }\n",
       "                    \n",
       "                .geemap-colab .jupyter-button {\n",
       "                    --jp-layout-color3: var(--colab-primary-surface-color, white);\n",
       "                }\n",
       "            </style>\n",
       "            "
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      "text/plain": [
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   "source": [
    "\n",
    "def addMask(img):\n",
    "    # Bit 0: Fill\n",
    "    # Bit 1: Dilated Cloud\n",
    "    # Bit 2: Cirrus (high confidence) (L8) or unused (L7)\n",
    "    # Bit 3: Cloud\n",
    "    # Bit 4: Cloud Shadow\n",
    "    # Bit 5: Snow\n",
    "    # Bit 6: Clear\n",
    "    #        0: Cloud or Dilated Cloud bits are set\n",
    "    #        1: Cloud and Dilated Cloud bits are not set\n",
    "    # Bit 7: Water\n",
    "    clear = img.select('QA_PIXEL').bitwiseAnd(64).neq(0)\n",
    "    clear = clear.updateMask(clear).rename(['pxqa_clear'])\n",
    "\n",
    "    water = img.select('QA_PIXEL').bitwiseAnd(128).neq(0)\n",
    "    water = water.updateMask(water).rename(['pxqa_water'])\n",
    "\n",
    "    cloud_shadow = img.select('QA_PIXEL').bitwiseAnd(16).neq(0)\n",
    "    cloud_shadow = cloud_shadow.updateMask(cloud_shadow).rename([\n",
    "        'pxqa_cloudshadow'\n",
    "    ])\n",
    "\n",
    "    snow = img.select('QA_PIXEL').bitwiseAnd(32).neq(0)\n",
    "    snow = snow.updateMask(snow).rename(['pxqa_snow'])\n",
    "\n",
    "    masks = ee.Image.cat([\n",
    "        clear, water, cloud_shadow, snow\n",
    "    ])\n",
    "\n",
    "    return img.addBands(masks)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 17
    },
    "id": "bLiLV0Pp7Idz",
    "outputId": "64c22c66-6e97-4bda-ca53-622890489c83",
    "tags": []
   },
   "outputs": [
    {
     "data": {
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       "\n",
       "            <style>\n",
       "                .geemap-dark {\n",
       "                    --jp-widgets-color: white;\n",
       "                    --jp-widgets-label-color: white;\n",
       "                    --jp-ui-font-color1: white;\n",
       "                    --jp-layout-color2: #454545;\n",
       "                    background-color: #383838;\n",
       "                }\n",
       "                    \n",
       "                .geemap-dark .jupyter-button {\n",
       "                    --jp-layout-color3: #383838;\n",
       "                }\n",
       "                \n",
       "                .geemap-colab {\n",
       "                    background-color: var(--colab-primary-surface-color, white);\n",
       "                }\n",
       "                    \n",
       "                .geemap-colab .jupyter-button {\n",
       "                    --jp-layout-color3: var(--colab-primary-surface-color, white);\n",
       "                }\n",
       "            </style>\n",
       "            "
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       "<IPython.core.display.HTML object>"
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     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def maskQAClear(img):\n",
    "    return img.updateMask(img.select('pxqa_clear'))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 17
    },
    "id": "jl4JWDuT7Id0",
    "outputId": "0942beea-4266-4cb5-8bd6-c62af2727096",
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "            <style>\n",
       "                .geemap-dark {\n",
       "                    --jp-widgets-color: white;\n",
       "                    --jp-widgets-label-color: white;\n",
       "                    --jp-ui-font-color1: white;\n",
       "                    --jp-layout-color2: #454545;\n",
       "                    background-color: #383838;\n",
       "                }\n",
       "                    \n",
       "                .geemap-dark .jupyter-button {\n",
       "                    --jp-layout-color3: #383838;\n",
       "                }\n",
       "                \n",
       "                .geemap-colab {\n",
       "                    background-color: var(--colab-primary-surface-color, white);\n",
       "                }\n",
       "                    \n",
       "                .geemap-colab .jupyter-button {\n",
       "                    --jp-layout-color3: var(--colab-primary-surface-color, white);\n",
       "                }\n",
       "            </style>\n",
       "            "
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "def addVIs(img):\n",
    "    gcvi = img.expression('(nir / green) - 1', {\n",
    "      'nir': img.select('NIR'),\n",
    "      'green': img.select('GREEN')\n",
    "    }).select([0], ['GCVI'])\n",
    "    return ee.Image.cat([img, gcvi])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 17
    },
    "id": "h3TSaIKM7Id0",
    "outputId": "0ecc533f-e830-4f84-9124-44917603b35d",
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "            <style>\n",
       "                .geemap-dark {\n",
       "                    --jp-widgets-color: white;\n",
       "                    --jp-widgets-label-color: white;\n",
       "                    --jp-ui-font-color1: white;\n",
       "                    --jp-layout-color2: #454545;\n",
       "                    background-color: #383838;\n",
       "                }\n",
       "                    \n",
       "                .geemap-dark .jupyter-button {\n",
       "                    --jp-layout-color3: #383838;\n",
       "                }\n",
       "                \n",
       "                .geemap-colab {\n",
       "                    background-color: var(--colab-primary-surface-color, white);\n",
       "                }\n",
       "                    \n",
       "                .geemap-colab .jupyter-button {\n",
       "                    --jp-layout-color3: var(--colab-primary-surface-color, white);\n",
       "                }\n",
       "            </style>\n",
       "            "
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "def apply_scale_factors_L8(image):\n",
    "    optical_bands = image.select('SR_B.').multiply(0.0000275).add(-0.2)\n",
    "    return image.addBands(optical_bands, overwrite=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 17
    },
    "id": "kXqLHsSp7Id1",
    "outputId": "6c0bed3f-b87f-4432-a4f4-1c0bfb758a86",
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "            <style>\n",
       "                .geemap-dark {\n",
       "                    --jp-widgets-color: white;\n",
       "                    --jp-widgets-label-color: white;\n",
       "                    --jp-ui-font-color1: white;\n",
       "                    --jp-layout-color2: #454545;\n",
       "                    background-color: #383838;\n",
       "                }\n",
       "                    \n",
       "                .geemap-dark .jupyter-button {\n",
       "                    --jp-layout-color3: #383838;\n",
       "                }\n",
       "                \n",
       "                .geemap-colab {\n",
       "                    background-color: var(--colab-primary-surface-color, white);\n",
       "                }\n",
       "                    \n",
       "                .geemap-colab .jupyter-button {\n",
       "                    --jp-layout-color3: var(--colab-primary-surface-color, white);\n",
       "                }\n",
       "            </style>\n",
       "            "
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def apply_scale_factors_L7(image):\n",
    "    optical_bands = image.select('SR_B.').multiply(0.0000275).add(-0.2)\n",
    "    return image.addBands(optical_bands, overwrite=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 17
    },
    "id": "-td7O6Is7Id1",
    "outputId": "b8ce6dc3-8612-439c-c726-23caf5aa545d",
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "            <style>\n",
       "                .geemap-dark {\n",
       "                    --jp-widgets-color: white;\n",
       "                    --jp-widgets-label-color: white;\n",
       "                    --jp-ui-font-color1: white;\n",
       "                    --jp-layout-color2: #454545;\n",
       "                    background-color: #383838;\n",
       "                }\n",
       "                    \n",
       "                .geemap-dark .jupyter-button {\n",
       "                    --jp-layout-color3: #383838;\n",
       "                }\n",
       "                \n",
       "                .geemap-colab {\n",
       "                    background-color: var(--colab-primary-surface-color, white);\n",
       "                }\n",
       "                    \n",
       "                .geemap-colab .jupyter-button {\n",
       "                    --jp-layout-color3: var(--colab-primary-surface-color, white);\n",
       "                }\n",
       "            </style>\n",
       "            "
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "\n",
    "landsat7coll = landsat7 \\\n",
    "    .filterBounds(geometry) \\\n",
    "    .filterDate(start_date, end_date) \\\n",
    "    .map(apply_scale_factors_L7) \\\n",
    "    .map(renameL7)\n",
    "\n",
    "landsat8coll = landsat8 \\\n",
    "    .filterDate(start_date, end_date) \\\n",
    "    .filterBounds(geometry) \\\n",
    "    .map(apply_scale_factors_L8) \\\n",
    "    .map(renameL8)\n",
    "\n",
    "\n",
    "landsat = landsat7coll.merge(landsat8coll) \\\n",
    "    .sort('system:time_start')\n",
    "\n",
    "\n",
    "\n",
    "landsat = landsat.map(addMask) \\\n",
    "    .map(maskQAClear) \\\n",
    "    .map(addVIs)\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 17
    },
    "id": "xDLlz2xI7Id2",
    "outputId": "6f50ba61-c08f-4a1b-ac25-63442754f1b1",
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "            <style>\n",
       "                .geemap-dark {\n",
       "                    --jp-widgets-color: white;\n",
       "                    --jp-widgets-label-color: white;\n",
       "                    --jp-ui-font-color1: white;\n",
       "                    --jp-layout-color2: #454545;\n",
       "                    background-color: #383838;\n",
       "                }\n",
       "                    \n",
       "                .geemap-dark .jupyter-button {\n",
       "                    --jp-layout-color3: #383838;\n",
       "                }\n",
       "                \n",
       "                .geemap-colab {\n",
       "                    background-color: var(--colab-primary-surface-color, white);\n",
       "                }\n",
       "                    \n",
       "                .geemap-colab .jupyter-button {\n",
       "                    --jp-layout-color3: var(--colab-primary-surface-color, white);\n",
       "                }\n",
       "            </style>\n",
       "            "
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "def addTimeUnit(image, refdate):\n",
    "    date = image.date()\n",
    "\n",
    "    dyear = date.difference(refdate, 'year')\n",
    "    t = image.select(0).multiply(0).add(dyear).select([0], ['t']) \\\n",
    "        .float()\n",
    "\n",
    "    imageplus = image.addBands(t)\n",
    "\n",
    "    return imageplus\n",
    "\n",
    "\n",
    "# Function that adds harmonic basis to an image.\n",
    "def addHarmonics(image, omega, refdate):\n",
    "    image = addTimeUnit(image, refdate)\n",
    "    timeRadians = image.select('t').multiply(2 * math.pi * omega)\n",
    "    timeRadians2 = image.select('t').multiply(4 * math.pi *\n",
    "    omega)\n",
    "\n",
    "    return image \\\n",
    "        .addBands(timeRadians.cos().rename('cos')) \\\n",
    "        .addBands(timeRadians.sin().rename('sin')) \\\n",
    "        .addBands(timeRadians2.cos().rename('cos2')) \\\n",
    "        .addBands(timeRadians2.sin().rename('sin2')) \\\n",
    "        .addBands(timeRadians.divide(timeRadians) \\\n",
    "            .rename('constant'))\n",
    "\n",
    "\n",
    "\n",
    "omega = 1\n",
    "\n",
    "def apply_harmonics(image):\n",
    "    return addHarmonics(image, omega, start_date)\n",
    "\n",
    "\n",
    "landsatPlus = landsat.map(apply_harmonics)\n",
    "\n",
    "#print('Landsat collection with harmonic basis: ', landsatPlus)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 17
    },
    "id": "GKO7P06r7Id2",
    "outputId": "ce25620e-953a-402a-80ba-35dc5a6ef623",
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "            <style>\n",
       "                .geemap-dark {\n",
       "                    --jp-widgets-color: white;\n",
       "                    --jp-widgets-label-color: white;\n",
       "                    --jp-ui-font-color1: white;\n",
       "                    --jp-layout-color2: #454545;\n",
       "                    background-color: #383838;\n",
       "                }\n",
       "                    \n",
       "                .geemap-dark .jupyter-button {\n",
       "                    --jp-layout-color3: #383838;\n",
       "                }\n",
       "                \n",
       "                .geemap-colab {\n",
       "                    background-color: var(--colab-primary-surface-color, white);\n",
       "                }\n",
       "                    \n",
       "                .geemap-colab .jupyter-button {\n",
       "                    --jp-layout-color3: var(--colab-primary-surface-color, white);\n",
       "                }\n",
       "            </style>\n",
       "            "
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "def arrayimgHarmonicRegr(harmonicColl, dependent, independents):\n",
    "    independents = ee.List(independents)\n",
    "    dependent = ee.String(dependent)\n",
    "\n",
    "    regression = harmonicColl \\\n",
    "        .select(independents.add(dependent)) \\\n",
    "        .reduce(ee.Reducer.linearRegression(independents.length(), 1))\n",
    "\n",
    "    return regression\n",
    "\n",
    "\n",
    "def imageHarmonicRegr(harmonicColl, dependent, independents):\n",
    "    hregr = arrayimgHarmonicRegr(harmonicColl, dependent, independents)\n",
    "\n",
    "    independents = ee.List(independents)\n",
    "    dependent = ee.String(dependent)\n",
    "\n",
    "    def func_mxk(b):\n",
    "        return dependent.cat(ee.String('_')).cat(ee.String(b))\n",
    "\n",
    "    newNames = independents.map(func_mxk)\n",
    "\n",
    "    imgCoeffs = hregr.select('coefficients') \\\n",
    "        .arrayProject([0]) \\\n",
    "        .arrayFlatten([independents]) \\\n",
    "        .select(independents, newNames)\n",
    "\n",
    "    return imgCoeffs\n",
    "\n",
    "\n",
    "def apply_imageHarmonicRegr(band):\n",
    "    return imageHarmonicRegr(harmonicColl, band, independents)\n",
    "\n",
    "\n",
    "def getHarmonicCoeffs(harmonicColl, bands, independents):\n",
    "    coefficients = ee.ImageCollection.fromImages(\n",
    "        bands.map(apply_imageHarmonicRegr)\n",
    "    )\n",
    "    return coefficients.toBands()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 99,
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "            <style>\n",
       "                .geemap-dark {\n",
       "                    --jp-widgets-color: white;\n",
       "                    --jp-widgets-label-color: white;\n",
       "                    --jp-ui-font-color1: white;\n",
       "                    --jp-layout-color2: #454545;\n",
       "                    background-color: #383838;\n",
       "                }\n",
       "                    \n",
       "                .geemap-dark .jupyter-button {\n",
       "                    --jp-layout-color3: #383838;\n",
       "                }\n",
       "                \n",
       "                .geemap-colab {\n",
       "                    background-color: var(--colab-primary-surface-color, white);\n",
       "                }\n",
       "                    \n",
       "                .geemap-colab .jupyter-button {\n",
       "                    --jp-layout-color3: var(--colab-primary-surface-color, white);\n",
       "                }\n",
       "            </style>\n",
       "            "
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<div><style>:root {\n",
       "  --font-color-primary: var(--jp-content-font-color0, rgba(0, 0, 0, 1));\n",
       "  --font-color-secondary: var(--jp-content-font-color2, rgba(0, 0, 0, 0.6));\n",
       "  --font-color-accent: rgba(123, 31, 162, 1);\n",
       "  --border-color: var(--jp-border-color2, #e0e0e0);\n",
       "  --background-color: var(--jp-layout-color0, white);\n",
       "  --background-color-row-even: var(--jp-layout-color1, white);\n",
       "  --background-color-row-odd: var(--jp-layout-color2, #eeeeee);\n",
       "}\n",
       "\n",
       "html[theme=\"dark\"],\n",
       "body[data-theme=\"dark\"],\n",
       "body.vscode-dark {\n",
       "  --font-color-primary: rgba(255, 255, 255, 1);\n",
       "  --font-color-secondary: rgba(255, 255, 255, 0.6);\n",
       "  --font-color-accent: rgb(173, 132, 190);\n",
       "  --border-color: #2e2e2e;\n",
       "  --background-color: #111111;\n",
       "  --background-color-row-even: #111111;\n",
       "  --background-color-row-odd: #313131;\n",
       "}\n",
       "\n",
       ".ee {\n",
       "  padding: 1em;\n",
       "  line-height: 1.5em;\n",
       "  min-width: 300px;\n",
       "  max-width: 1200px;\n",
       "  overflow-y: scroll;\n",
       "  max-height: 600px;\n",
       "  border: 1px solid var(--border-color);\n",
       "  font-family: monospace;\n",
       "}\n",
       "\n",
       ".ee li {\n",
       "  list-style-type: none;\n",
       "}\n",
       "\n",
       ".ee ul {\n",
       "  padding-left: 1.5em !important;\n",
       "  margin: 0;\n",
       "}\n",
       "\n",
       ".ee > ul {\n",
       "  padding-left: 0 !important;\n",
       "}\n",
       "\n",
       ".ee-open,\n",
       ".ee-shut {\n",
       "  color: var(--font-color-secondary);\n",
       "  cursor: pointer;\n",
       "  margin: 0;\n",
       "}\n",
       "\n",
       ".ee-open:hover,\n",
       ".ee-shut:hover {\n",
       "  color: var(--font-color-primary);\n",
       "}\n",
       "\n",
       ".ee-k {\n",
       "  color: var(--font-color-accent);\n",
       "  margin-right: 6px;\n",
       "}\n",
       "\n",
       ".ee-v {\n",
       "  color: var(--font-color-primary);\n",
       "}\n",
       "\n",
       ".ee-toggle {\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".ee-shut + ul {\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".ee-open + ul {\n",
       "  display: block;\n",
       "}\n",
       "\n",
       ".ee-shut::before {\n",
       "  display: inline-block;\n",
       "  content: \"▼\";\n",
       "  margin-right: 6px;\n",
       "  transform: rotate(-90deg);\n",
       "  transition: transform 0.2s;\n",
       "}\n",
       "\n",
       ".ee-open::before {\n",
       "  transform: rotate(0deg);\n",
       "  display: inline-block;\n",
       "  content: \"▼\";\n",
       "  margin-right: 6px;\n",
       "  transition: transform 0.2s;\n",
       "}\n",
       "</style><div class='ee'><ul><li><label class='ee-shut'>Image (2 bands)<input type='checkbox' class='ee-toggle'></label><ul><li><span class='ee-k'>type:</span><span class='ee-v'>Image</span></li><li><label class='ee-shut'>bands: List (2 elements)<input type='checkbox' class='ee-toggle'></label><ul><li><label class='ee-shut'>0: \"coefficients\", double, EPSG:4326<input type='checkbox' class='ee-toggle'></label><ul><li><span class='ee-k'>id:</span><span class='ee-v'>coefficients</span></li><li><span class='ee-k'>crs:</span><span class='ee-v'>EPSG:4326</span></li><li><label class='ee-shut'>crs_transform: [1, 0, 0, 0, 1, 0]<input type='checkbox' class='ee-toggle'></label><ul><li><span class='ee-k'>0:</span><span class='ee-v'>1</span></li><li><span class='ee-k'>1:</span><span class='ee-v'>0</span></li><li><span class='ee-k'>2:</span><span class='ee-v'>0</span></li><li><span class='ee-k'>3:</span><span class='ee-v'>0</span></li><li><span class='ee-k'>4:</span><span class='ee-v'>1</span></li><li><span class='ee-k'>5:</span><span class='ee-v'>0</span></li></ul></li><li><label class='ee-shut'>data_type: double<input type='checkbox' class='ee-toggle'></label><ul><li><span class='ee-k'>type:</span><span class='ee-v'>PixelType</span></li><li><span class='ee-k'>dimensions:</span><span class='ee-v'>2</span></li><li><span class='ee-k'>precision:</span><span class='ee-v'>double</span></li></ul></li></ul></li><li><label class='ee-shut'>1: \"residuals\", double, EPSG:4326<input type='checkbox' class='ee-toggle'></label><ul><li><span class='ee-k'>id:</span><span class='ee-v'>residuals</span></li><li><span class='ee-k'>crs:</span><span class='ee-v'>EPSG:4326</span></li><li><label class='ee-shut'>crs_transform: [1, 0, 0, 0, 1, 0]<input type='checkbox' class='ee-toggle'></label><ul><li><span class='ee-k'>0:</span><span class='ee-v'>1</span></li><li><span class='ee-k'>1:</span><span class='ee-v'>0</span></li><li><span class='ee-k'>2:</span><span class='ee-v'>0</span></li><li><span class='ee-k'>3:</span><span class='ee-v'>0</span></li><li><span class='ee-k'>4:</span><span class='ee-v'>1</span></li><li><span class='ee-k'>5:</span><span class='ee-v'>0</span></li></ul></li><li><label class='ee-shut'>data_type: double<input type='checkbox' class='ee-toggle'></label><ul><li><span class='ee-k'>type:</span><span class='ee-v'>PixelType</span></li><li><span class='ee-k'>dimensions:</span><span class='ee-v'>1</span></li><li><span class='ee-k'>precision:</span><span class='ee-v'>double</span></li></ul></li></ul></li></ul></li></ul></li></ul></div><script>function toggleHeader() {\n",
       "    const parent = this.parentElement;\n",
       "    parent.className = parent.className === \"ee-open\" ? \"ee-shut\" : \"ee-open\";\n",
       "}\n",
       "\n",
       "for (let c of document.getElementsByClassName(\"ee-toggle\")) {\n",
       "    c.onclick = toggleHeader;\n",
       "}</script></div>"
      ],
      "text/plain": [
       "<ee.image.Image at 0x24cd13cd6d0>"
      ]
     },
     "execution_count": 99,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 17
    },
    "id": "Lxfuq5_P7Id2",
    "outputId": "133873e9-8d00-4daa-9783-a07c6689a1f8",
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "            <style>\n",
       "                .geemap-dark {\n",
       "                    --jp-widgets-color: white;\n",
       "                    --jp-widgets-label-color: white;\n",
       "                    --jp-ui-font-color1: white;\n",
       "                    --jp-layout-color2: #454545;\n",
       "                    background-color: #383838;\n",
       "                }\n",
       "                    \n",
       "                .geemap-dark .jupyter-button {\n",
       "                    --jp-layout-color3: #383838;\n",
       "                }\n",
       "                \n",
       "                .geemap-colab {\n",
       "                    background-color: var(--colab-primary-surface-color, white);\n",
       "                }\n",
       "                    \n",
       "                .geemap-colab .jupyter-button {\n",
       "                    --jp-layout-color3: var(--colab-primary-surface-color, white);\n",
       "                }\n",
       "            </style>\n",
       "            "
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "harmonicColl = landsatPlus\n",
    "\n",
    "\n",
    "bands = ee.List(['NIR', 'SWIR1', 'SWIR2', 'GCVI'])  \n",
    "independents = ee.List(['constant', 'cos', 'sin', 'cos2', 'sin2'])\n",
    "harmonics = getHarmonicCoeffs(harmonicColl, bands, independents)\n",
    "\n",
    "harmonics = harmonics.clip(geometry)\n",
    "harmonics = harmonics.multiply(10000).toInt32()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "harmonics.select('residuals').getInfo()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Compute fitted values.\n",
    "gcviHarmonicCoefficients = harmonics \\\n",
    "    .select([\n",
    "        '3_GCVI_constant', '3_GCVI_cos',\n",
    "        '3_GCVI_sin', '3_GCVI_cos2', '3_GCVI_sin2'\n",
    "    ]) \\\n",
    "    .divide(10000)\n",
    "\n",
    "def add_fitted_band(image):\n",
    "    return image.addBands(\n",
    "        image.select(independents) \\\n",
    "        .multiply(gcviHarmonicCoefficients) \\\n",
    "        .reduce('sum') \\\n",
    "        .rename('fitted')\n",
    "    )\n",
    "\n",
    "fittedHarmonic = landsatPlus.map(add_fitted_band)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 109,
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "def add_residuals(img):\n",
    "     return img.addBands(img.select('GCVI').subtract(img.select('fitted')) \\\n",
    "                         .rename('residuals'))\n",
    "    \n",
    "residuals = fittedHarmonic.map(add_residuals)\n",
    "\n",
    "dependent = 'GCVI'\n",
    "harmonicIndependents = ['constant', 'cos', 'sin', 'cos2', 'sin2']\n",
    "n = residuals.select(dependent).count()\n",
    "dof = n.subtract(len(harmonicIndependents))\n",
    "\n",
    "# Obtener los residuos cuadráticos medios en un píxel.\n",
    "rmsr = arrayimgHarmonicRegr(harmonicColl, dependent, independents).select('residuals') \\\n",
    "    .arrayProject([0]) \\\n",
    "    .arrayFlatten([['rmsr']])\n",
    "\n",
    "# Suma de cuadrados de los residuos.\n",
    "rss = rmsr.pow(2).multiply(n)\n",
    "\n",
    "rmse = rmsr.pow(2).reduce(ee.Reducer.mean()).sqrt().rename(dependent + '_rmse')\n",
    "# Varianza estimada = RSS/(n-p).\n",
    "sSquared = rss.divide(dof)\n",
    "\n",
    "# Varianza muestral de la variable dependiente.\n",
    "yVariance = fittedHarmonic.select(dependent).reduce(ee.Reducer.sampleVariance())\n",
    "\n",
    "# Coeficiente de regresión múltiple ajustado y cuadrado.\n",
    "r2 = ee.Image(1).subtract(sSquared.divide(yVariance)).rename(dependent + '_R2')\n",
    "\n",
    "\n",
    "Map = geemap.Map(center=[40, -100], zoom=4)\n",
    "Map.setCenter(long, lat, zoom=10)\n",
    "\n",
    "Map.addLayer(rmse, {'min': 0, 'max': 5, 'palette': ['#d73027', '#fee08b', '#1a9850']}, 'RMSE')\n",
    "Map.addLayer(r2, {'min': 0, 'max': 1, 'palette': ['#d73027', '#fee08b', '#1a9850']}, 'R2')\n",
    "\n",
    "#Map.addLayer(region, {'color': 'red'}, 'Region')\n",
    "Map"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "jTbJ5q7L3A3B"
   },
   "source": [
    "## Metrics: RMSE and R2"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "WU6JqeWvGGeb"
   },
   "source": [
    "### Alternative 1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 17
    },
    "id": "pvV3sa_z7Id3",
    "outputId": "4b99cc29-8695-4328-f7a4-9e3a6360bd7c",
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "            <style>\n",
       "                .geemap-dark {\n",
       "                    --jp-widgets-color: white;\n",
       "                    --jp-widgets-label-color: white;\n",
       "                    --jp-ui-font-color1: white;\n",
       "                    --jp-layout-color2: #454545;\n",
       "                    background-color: #383838;\n",
       "                }\n",
       "\n",
       "                .geemap-dark .jupyter-button {\n",
       "                    --jp-layout-color3: #383838;\n",
       "                }\n",
       "\n",
       "                .geemap-colab {\n",
       "                    background-color: var(--colab-primary-surface-color, white);\n",
       "                }\n",
       "\n",
       "                .geemap-colab .jupyter-button {\n",
       "                    --jp-layout-color3: var(--colab-primary-surface-color, white);\n",
       "                }\n",
       "            </style>\n",
       "            "
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def calculate_metrics_for_image(img):\n",
    "    dependent = 'GCVI'\n",
    "    fitted_values = 'fitted'\n",
    "\n",
    "   \n",
    "    mean_gcvi = img.select(dependent).reduceRegion(\n",
    "        reducer=ee.Reducer.mean(),\n",
    "        geometry=img.geometry(),\n",
    "        scale=30,\n",
    "        maxPixels=1e9\n",
    "    ).get(dependent)\n",
    "\n",
    "    residuals = img.select(dependent).subtract(img.select(fitted_values))\n",
    "    squared_residuals = residuals.pow(2)\n",
    "    rmse = squared_residuals.reduce(ee.Reducer.mean()).sqrt().rename(dependent + '_rmse')\n",
    "\n",
    "\n",
    "    residual_sum_of_squares = residuals.pow(2).reduce(ee.Reducer.sum())\n",
    "\n",
    "\n",
    "    total_sum_of_squares = img.select(dependent).subtract(ee.Image.constant(mean_gcvi)).pow(2).reduce(ee.Reducer.sum())\n",
    "\n",
    "    r2 = ee.Image(1).subtract(residual_sum_of_squares.divide(total_sum_of_squares)).rename(dependent + '_r2')\n",
    "\n",
    "    return r2.addBands(rmse)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "A_LFXhuMGMpC"
   },
   "source": [
    "### Alternative 2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 17
    },
    "id": "anbnvBbwGOg8",
    "outputId": "7e0c3d7f-5ad6-4b65-ec7f-34a0896279a3"
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "            <style>\n",
       "                .geemap-dark {\n",
       "                    --jp-widgets-color: white;\n",
       "                    --jp-widgets-label-color: white;\n",
       "                    --jp-ui-font-color1: white;\n",
       "                    --jp-layout-color2: #454545;\n",
       "                    background-color: #383838;\n",
       "                }\n",
       "\n",
       "                .geemap-dark .jupyter-button {\n",
       "                    --jp-layout-color3: #383838;\n",
       "                }\n",
       "\n",
       "                .geemap-colab {\n",
       "                    background-color: var(--colab-primary-surface-color, white);\n",
       "                }\n",
       "\n",
       "                .geemap-colab .jupyter-button {\n",
       "                    --jp-layout-color3: var(--colab-primary-surface-color, white);\n",
       "                }\n",
       "            </style>\n",
       "            "
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def calculate_metrics_for_image(img,depende):\n",
    "    dependent = 'GCVI'\n",
    "    fitted_values = 'fitted'\n",
    "\n",
    "    \n",
    "    mean_gcvi = img.select(dependent).reduceRegion(\n",
    "        reducer=ee.Reducer.mean(),\n",
    "        geometry=img.geometry(),\n",
    "        scale=30,\n",
    "        maxPixels=1e9\n",
    "    ).get(dependent)\n",
    "\n",
    "    residuals = img.select(dependent).subtract(img.select(fitted_values))\n",
    "    squared_residuals = residuals.pow(2)\n",
    "    rmse = squared_residuals.reduce(ee.Reducer.mean()).sqrt().rename(dependent + '_rmse')\n",
    "\n",
    "    \n",
    "    totreducer = ee.Reducer.sampleVariance().combine(ee.Reducer.count(), None, True).combine(ee.Reducer.mean(), None, True)\n",
    "    stats = img.select(dependent).reduce(totreducer)\n",
    "    stats = stats.reproject(ee.Image(img.projection()))\n",
    "    variance = stats.select('variance')\n",
    "\n",
    "    r2bandn = ee.String(dependent).cat(ee.String('_r2'))\n",
    "    r2 = ee.Image(1).updateMask(variance).subtract(rmse.pow(2).divide(variance)).select([0], [r2bandn])\n",
    "\n",
    "    return r2.addBands(rmse)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "def calculate_metrics_for_image(img):\n",
    "    \n",
    "    \n",
    "    \n",
    "    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 17
    },
    "id": "vZzyZsHz7Id3",
    "outputId": "8f26b909-1219-4428-e3f8-d5b2633cb935",
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "            <style>\n",
       "                .geemap-dark {\n",
       "                    --jp-widgets-color: white;\n",
       "                    --jp-widgets-label-color: white;\n",
       "                    --jp-ui-font-color1: white;\n",
       "                    --jp-layout-color2: #454545;\n",
       "                    background-color: #383838;\n",
       "                }\n",
       "\n",
       "                .geemap-dark .jupyter-button {\n",
       "                    --jp-layout-color3: #383838;\n",
       "                }\n",
       "\n",
       "                .geemap-colab {\n",
       "                    background-color: var(--colab-primary-surface-color, white);\n",
       "                }\n",
       "\n",
       "                .geemap-colab .jupyter-button {\n",
       "                    --jp-layout-color3: var(--colab-primary-surface-color, white);\n",
       "                }\n",
       "            </style>\n",
       "            "
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       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "metrics_images = fittedHarmonic.map(calculate_metrics_for_image)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
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    },
    "id": "gKjbaeZe7Id3",
    "outputId": "596b3a78-ed5c-4863-9a8b-8b1cc3cb121a",
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "            <style>\n",
       "                .geemap-dark {\n",
       "                    --jp-widgets-color: white;\n",
       "                    --jp-widgets-label-color: white;\n",
       "                    --jp-ui-font-color1: white;\n",
       "                    --jp-layout-color2: #454545;\n",
       "                    background-color: #383838;\n",
       "                }\n",
       "\n",
       "                .geemap-dark .jupyter-button {\n",
       "                    --jp-layout-color3: #383838;\n",
       "                }\n",
       "\n",
       "                .geemap-colab {\n",
       "                    background-color: var(--colab-primary-surface-color, white);\n",
       "                }\n",
       "\n",
       "                .geemap-colab .jupyter-button {\n",
       "                    --jp-layout-color3: var(--colab-primary-surface-color, white);\n",
       "                }\n",
       "            </style>\n",
       "            "
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "1736d0f3b4114f30a068e8e6527536c9",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Map(center=[40.579804398254005, -88.81417685576481], controls=(WidgetControl(options=['position', 'transparent…"
      ]
     },
     "metadata": {
      "application/vnd.jupyter.widget-view+json": {
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         "url": "https://ssl.gstatic.com/colaboratory-static/widgets/colab-cdn-widget-manager/2b70e893a8ba7c0f/manager.min.js"
        }
       }
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "Map = geemap.Map(center=[40, -100], zoom=4)\n",
    "Map.setCenter(long, lat, zoom=10)\n",
    "\n",
    "Map.addLayer(metrics_images.select('GCVI_rmse'), {'min': 0, 'max': 3, 'palette': ['#d73027', '#fee08b', '#1a9850']}, 'RMSE')\n",
    "Map.addLayer(metrics_images.select('GCVI_r2'), {'min': 0, 'max': 1, 'palette': ['#d73027', '#fee08b', '#1a9850']}, 'R2')\n",
    "\n",
    "#Map.addLayer(region, {'color': 'red'}, 'Region')\n",
    "Map"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Definir la carpeta en la que se guardarán las imágenes exportadas\n",
    "output_folder = 'users/your_username/your_folder_name'\n",
    "\n",
    "# Exportar cada imagen individualmente\n",
    "def export_to_asset(image):\n",
    "    # Obtener el ID de la imagen\n",
    "    image_id = image.get('system:index').getInfo()\n",
    "    \n",
    "    # Definir el nombre del asset de salida\n",
    "    asset_id = f\"{output_folder}/{image_id}\"\n",
    "    \n",
    "    # Configurar la tarea de exportación\n",
    "    task = ee.batch.Export.image.toAsset(\n",
    "        image=image,\n",
    "        description=f'Export_{image_id}',\n",
    "        assetId=asset_id,\n",
    "        scale=10,\n",
    "        region=image.geometry(),\n",
    "        maxPixels=1e13\n",
    "    )\n",
    "    \n",
    "    # Iniciar la tarea\n",
    "    task.start()\n",
    "    print(f\"Exportando {asset_id}\")\n",
    "\n",
    "# Mapear la función de exportación sobre la colección\n",
    "image_collection.toList(image_collection.size()).map(lambda img: export_to_asset(ee.Image(img)))\n"
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