margot energy missing

energy_missing.ipynb

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    "# high frequency noise, filtering & missing energy\n",
    "\n",
    "We assume an observed variable is made of the sum of a physical signal and a white noise:\n",
    "\n",
    "$\n",
    "\\begin{align}\n",
    "u(x) &=  u_p(x) + n(x).\n",
    "\\end{align}\n",
    "$\n",
    "\n",
    "Associated energies are $U_p$ and $N$.\n",
    "We assume the spectrum of the physical signal is:\n",
    "\n",
    "$\n",
    "\\begin{align}\n",
    "E_p(k) &= \\frac{E_0}{\\big [ 1+(Lk)^2 \\big ]^{s/2}},\n",
    "\\end{align}\n",
    "$\n",
    "\n",
    "where $L$ is related to the signal autocorrelation scale and $s$ is the high frequency spectral slope.\n",
    "The white noise has a white spectrum.\n",
    "The Parseval relationship links $E_0$ with the variance of the signal:\n",
    "\n",
    "$\n",
    "\\begin{align}\n",
    "\\langle u_p^2 \\rangle &=  2 \\int_0^{k_{max}} E_p(k)\\;dk = 2E_0 \\int_0^{k_{max}} \\frac{dk}{\\big [ 1+(Lk)^2 \\big ]^{s/2}},\n",
    "\\end{align}\n",
    "$\n"
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i < links.length; i++) {\n      var link = links[i]\n      if (link.href != null) {\n\texisting_stylesheets.push(link.href)\n      }\n    }\n    for (var i = 0; i < css_urls.length; i++) {\n      var url = css_urls[i];\n      if (existing_stylesheets.indexOf(url) !== -1) {\n\ton_load()\n\tcontinue;\n      }\n      const element = document.createElement(\"link\");\n      element.onload = on_load;\n      element.onerror = on_error;\n      element.rel = \"stylesheet\";\n      element.type = \"text/css\";\n      element.href = url;\n      console.debug(\"Bokeh: injecting link tag for BokehJS stylesheet: \", url);\n      document.body.appendChild(element);\n    }    if (((window['jsPanel'] !== undefined) && (!(window['jsPanel'] instanceof HTMLElement))) || window.requirejs) {\n      var urls = ['https://cdn.holoviz.org/panel/1.0.4/dist/bundled/floatpanel/jspanel4@4.12.0/dist/jspanel.js', 'https://cdn.holoviz.org/panel/1.0.4/dist/bundled/floatpanel/jspanel4@4.12.0/dist/extensions/modal/jspanel.modal.js', 'https://cdn.holoviz.org/panel/1.0.4/dist/bundled/floatpanel/jspanel4@4.12.0/dist/extensions/tooltip/jspanel.tooltip.js', 'https://cdn.holoviz.org/panel/1.0.4/dist/bundled/floatpanel/jspanel4@4.12.0/dist/extensions/hint/jspanel.hint.js', 'https://cdn.holoviz.org/panel/1.0.4/dist/bundled/floatpanel/jspanel4@4.12.0/dist/extensions/layout/jspanel.layout.js', 'https://cdn.holoviz.org/panel/1.0.4/dist/bundled/floatpanel/jspanel4@4.12.0/dist/extensions/contextmenu/jspanel.contextmenu.js', 'https://cdn.holoviz.org/panel/1.0.4/dist/bundled/floatpanel/jspanel4@4.12.0/dist/extensions/dock/jspanel.dock.js'];\n      for (var i = 0; i < urls.length; i++) {\n        skip.push(urls[i])\n      }\n    }    if (((window['GridStack'] !== undefined) && (!(window['GridStack'] instanceof HTMLElement))) || window.requirejs) {\n      var urls = ['https://cdn.holoviz.org/panel/1.0.4/dist/bundled/gridstack/gridstack@7.2.3/dist/gridstack-all.js'];\n      for (var i = 0; i < urls.length; i++) {\n        skip.push(urls[i])\n      }\n    }    if (((window['Notyf'] !== undefined) && (!(window['Notyf'] instanceof HTMLElement))) || window.requirejs) {\n      var urls = ['https://cdn.holoviz.org/panel/1.0.4/dist/bundled/notificationarea/notyf@3/notyf.min.js'];\n      for (var i = 0; i < urls.length; i++) {\n        skip.push(urls[i])\n      }\n    }    var existing_scripts = []\n    var scripts = document.getElementsByTagName('script')\n    for (var i = 0; i < scripts.length; i++) {\n      var script = scripts[i]\n      if (script.src != null) {\n\texisting_scripts.push(script.src)\n      }\n    }\n    for (var i = 0; i < js_urls.length; i++) {\n      var url = js_urls[i];\n      if (skip.indexOf(url) !== -1 || existing_scripts.indexOf(url) !== -1) {\n\tif (!window.requirejs) {\n\t  on_load();\n\t}\n\tcontinue;\n      }\n      var element = document.createElement('script');\n      element.onload = on_load;\n      element.onerror = on_error;\n      element.async = false;\n      element.src = url;\n      console.debug(\"Bokeh: injecting script tag for BokehJS library: \", url);\n      document.head.appendChild(element);\n    }\n    for (var i = 0; i < js_modules.length; i++) {\n      var url = js_modules[i];\n      if (skip.indexOf(url) !== -1 || existing_scripts.indexOf(url) !== -1) {\n\tif (!window.requirejs) {\n\t  on_load();\n\t}\n\tcontinue;\n      }\n      var element = document.createElement('script');\n      element.onload = on_load;\n      element.onerror = on_error;\n      element.async = false;\n      element.src = url;\n      element.type = \"module\";\n      console.debug(\"Bokeh: injecting script tag for BokehJS library: \", url);\n      document.head.appendChild(element);\n    }\n    for (const name in js_exports) {\n      var url = js_exports[name];\n      if (skip.indexOf(url) >= 0 || root[name] != null) {\n\tif (!window.requirejs) {\n\t  on_load();\n\t}\n\tcontinue;\n      }\n      var element = document.createElement('script');\n      element.onerror = on_error;\n      element.async = false;\n      element.type = \"module\";\n      console.debug(\"Bokeh: injecting script tag for BokehJS library: \", url);\n      element.textContent = `\n      import ${name} from \"${url}\"\n      window.${name} = ${name}\n      window._bokeh_on_load()\n      `\n      document.head.appendChild(element);\n    }\n    if (!js_urls.length && !js_modules.length) {\n      on_load()\n    }\n  };\n\n  function inject_raw_css(css) {\n    const element = document.createElement(\"style\");\n    element.appendChild(document.createTextNode(css));\n    document.body.appendChild(element);\n  }\n\n  var js_urls = [\"https://cdn.bokeh.org/bokeh/release/bokeh-3.1.1.min.js\", \"https://cdn.bokeh.org/bokeh/release/bokeh-gl-3.1.1.min.js\", \"https://cdn.bokeh.org/bokeh/release/bokeh-widgets-3.1.1.min.js\", \"https://cdn.bokeh.org/bokeh/release/bokeh-tables-3.1.1.min.js\", \"https://cdn.holoviz.org/panel/1.0.4/dist/panel.min.js\"];\n  var js_modules = [];\n  var js_exports = {};\n  var css_urls = [];\n  var inline_js = [    function(Bokeh) {\n      Bokeh.set_log_level(\"info\");\n    },\nfunction(Bokeh) {} // ensure no trailing comma for IE\n  ];\n\n  function run_inline_js() {\n    if ((root.Bokeh !== undefined) || (force === true)) {\n      for (var i = 0; i < inline_js.length; i++) {\n        inline_js[i].call(root, root.Bokeh);\n      }\n      // Cache old bokeh versions\n      if (Bokeh != undefined && !reloading) {\n\tvar NewBokeh = root.Bokeh;\n\tif (Bokeh.versions === undefined) {\n\t  Bokeh.versions = new Map();\n\t}\n\tif (NewBokeh.version !== Bokeh.version) {\n\t  Bokeh.versions.set(NewBokeh.version, NewBokeh)\n\t}\n\troot.Bokeh = Bokeh;\n      }} else if (Date.now() < root._bokeh_timeout) {\n      setTimeout(run_inline_js, 100);\n    } else if (!root._bokeh_failed_load) {\n      console.log(\"Bokeh: BokehJS failed to load within specified timeout.\");\n      root._bokeh_failed_load = true;\n    }\n    root._bokeh_is_initializing = false\n  }\n\n  function load_or_wait() {\n    // Implement a backoff loop that tries to ensure we do not load multiple\n    // versions of Bokeh and its dependencies at the same time.\n    // In recent versions we use the root._bokeh_is_initializing flag\n    // to determine whether there is an ongoing attempt to initialize\n    // bokeh, however for backward compatibility we also try to ensure\n    // that we do not start loading a newer (Panel>=1.0 and Bokeh>3) version\n    // before older versions are fully initialized.\n    if (root._bokeh_is_initializing && Date.now() > root._bokeh_timeout) {\n      root._bokeh_is_initializing = false;\n      root._bokeh_onload_callbacks = undefined;\n      console.log(\"Bokeh: BokehJS was loaded multiple times but one version failed to initialize.\");\n      load_or_wait();\n    } else if (root._bokeh_is_initializing || (typeof root._bokeh_is_initializing === \"undefined\" && root._bokeh_onload_callbacks !== undefined)) {\n      setTimeout(load_or_wait, 100);\n    } else {\n      Bokeh = root.Bokeh;\n      bokeh_loaded = Bokeh != null && (Bokeh.version === py_version || (Bokeh.versions !== undefined && Bokeh.versions.has(py_version)));\n      root._bokeh_is_initializing = true\n      root._bokeh_onload_callbacks = []\n      if (!reloading && (!bokeh_loaded || is_dev)) {\n\troot.Bokeh = undefined;\n      }\n      load_libs(css_urls, js_urls, js_modules, js_exports, function() {\n\tconsole.debug(\"Bokeh: BokehJS plotting callback run at\", now());\n\trun_inline_js();\n      });\n    }\n  }\n  // Give older versions of the autoload script a head-start to ensure\n  // they initialize before we start loading newer version.\n  setTimeout(load_or_wait, 100)\n}(window));"
     },
     "metadata": {},
     "output_type": "display_data"
    },
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     "data": {
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       "  var toinsert = output_area.element.find(\".\" + CLASS_NAME.split(' ')[0]);\n",
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       "    var html_node = toinsert[nchildren-1].children[0];\n",
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       "    var nodelist = html_node.querySelectorAll(\"script\");\n",
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       "}\n",
       "\n",
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       "      register_renderer(events, OutputArea);\n",
       "    }\n",
       "  } catch(err) {\n",
       "  }\n",
       "}\n"
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the DOM node\n */\nfunction render(props, node) {\n  var div = document.createElement(\"div\");\n  var script = document.createElement(\"script\");\n  node.appendChild(div);\n  node.appendChild(script);\n}\n\n/**\n * Handle when a new output is added\n */\nfunction handle_add_output(event, handle) {\n  var output_area = handle.output_area;\n  var output = handle.output;\n  if ((output.data == undefined) || (!output.data.hasOwnProperty(EXEC_MIME_TYPE))) {\n    return\n  }\n  var id = output.metadata[EXEC_MIME_TYPE][\"id\"];\n  var toinsert = output_area.element.find(\".\" + CLASS_NAME.split(' ')[0]);\n  if (id !== undefined) {\n    var nchildren = toinsert.length;\n    var html_node = toinsert[nchildren-1].children[0];\n    html_node.innerHTML = output.data[HTML_MIME_TYPE];\n    var scripts = [];\n    var nodelist = html_node.querySelectorAll(\"script\");\n    for (var i in nodelist) {\n      if (nodelist.hasOwnProperty(i)) {\n        scripts.push(nodelist[i])\n      }\n    }\n\n    scripts.forEach( function (oldScript) {\n      var newScript = document.createElement(\"script\");\n      var attrs = [];\n      var nodemap = oldScript.attributes;\n      for (var j in nodemap) {\n        if (nodemap.hasOwnProperty(j)) {\n          attrs.push(nodemap[j])\n        }\n      }\n      attrs.forEach(function(attr) { newScript.setAttribute(attr.name, attr.value) });\n      newScript.appendChild(document.createTextNode(oldScript.innerHTML));\n      oldScript.parentNode.replaceChild(newScript, oldScript);\n    });\n    if (JS_MIME_TYPE in output.data) {\n      toinsert[nchildren-1].children[1].textContent = output.data[JS_MIME_TYPE];\n    }\n    output_area._hv_plot_id = id;\n    if ((window.Bokeh !== undefined) && (id in Bokeh.index)) {\n      window.PyViz.plot_index[id] = Bokeh.index[id];\n    } else {\n      window.PyViz.plot_index[id] = null;\n    }\n  } else if (output.metadata[EXEC_MIME_TYPE][\"server_id\"] !== undefined) {\n    var bk_div = 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     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<style>*[data-root-id],\n",
       "*[data-root-id] > * {\n",
       "  box-sizing: border-box;\n",
       "  font-family: var(--jp-ui-font-family);\n",
       "  font-size: var(--jp-ui-font-size1);\n",
       "  color: var(--vscode-editor-foreground, var(--jp-ui-font-color1));\n",
       "}\n",
       "\n",
       "/* Override VSCode background color */\n",
       ".cell-output-ipywidget-background:has(> .cell-output-ipywidget-background\n",
       "    > .lm-Widget\n",
       "    > *[data-root-id]),\n",
       ".cell-output-ipywidget-background:has(> .lm-Widget > *[data-root-id]) {\n",
       "  background-color: transparent !important;\n",
       "}\n",
       "</style>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import xarray as xr\n",
    "\n",
    "%matplotlib inline\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "#import drifters.sigp as sigp\n",
    "import pynsitu as pin\n",
    "import sstats.tseries as ts"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "846c8025-d125-4728-9e65-a9b8e8df94f5",
   "metadata": {},
   "source": [
    "---\n",
    "## generate synthetic signals"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "27b65bed-5838-4a0c-b58b-d3fc7a0b6520",
   "metadata": {},
   "outputs": [],
   "source": [
    "dx = 1  # sampling in km\n",
    "x = (10000, dx)\n",
    "Nd = 10 # number of draws"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "3fb5036f-c918-4c94-bf74-719714a85642",
   "metadata": {},
   "outputs": [],
   "source": [
    "# white noise\n",
    "n = (ts.normal(x, 0.0, draws=Nd, seed=0)\n",
    "       .rename(\"n\")\n",
    "       .compute()\n",
    ")\n",
    "n = n/n.std(\"time\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "4c3693ed-a470-4ca0-acb2-0d2c1437e2e8",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "n.plot(x=\"time\", hue=\"draw\");"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "4b585ef3-b192-407e-84a1-d9998e1d3e11",
   "metadata": {},
   "outputs": [],
   "source": [
    "# periodical signal\n",
    "Up = 1\n",
    "L = 100 # spatial decorrelation\n",
    "s = 5\n",
    "Ep = lambda k: 1/(1+(L*k/2/np.pi)**2)**(s/2)\n",
    "\n",
    "up = ts.spectral(x, spectrum=Ep, draws=Nd).compute()\n",
    "up = np.real(up).rename(\"u_phys\")\n",
    "up = Up * up/up.std(\"time\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "6bd138d3-ae6d-4cc6-b1c2-7183962af9cb",
   "metadata": {},
   "outputs": [],
   "source": [
    "ds = xr.merge([n/10, up]).rename(time=\"x\")\n",
    "ds[\"u\"] = ds[\"u_phys\"] + ds[\"n\"]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "0b44bc81-8d6e-4583-b810-014fa1cffb2b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x137f465f0>,\n",
       " <matplotlib.lines.Line2D at 0x137f46650>]"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "_ds = ds.isel(x=slice(0,5000), draw=[0,1])\n",
    "\n",
    "fig, axes = plt.subplots(3,1)\n",
    "_ds.u.plot.line(x=\"x\", ax=axes[0])\n",
    "_ds.u_phys.plot.line(x=\"x\", ax=axes[1])\n",
    "_ds.n.plot.line(x=\"x\", ax=axes[2])\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "59bb289b-abf0-42dd-a6bc-d428ea2eec2d",
   "metadata": {},
   "source": [
    "---\n",
    "\n",
    "## compute spectra\n",
    "\n",
    "\n",
    "$\n",
    "\\begin{align}\n",
    "U_p^2 &=  \\int E_p(k) dk, \\\\\n",
    "N^2 &=  \\int E_n(k) dk,\n",
    "\\end{align}\n",
    "$\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "6eae105f-d3e0-4408-9660-7345b6bcf6b1",
   "metadata": {},
   "outputs": [],
   "source": [
    "E = (ds\n",
    "     .rename(x=\"time\").ts.spectrum(nperseg=int(2000 / 1))\n",
    "     .rename(frequency=\"k\")\n",
    ")\n",
    "E.k.attrs.update(unit=\"cycles per km\")\n",
    "dk = abs(float(E.k[0]-E.k[1]))\n",
    "k_max = float(E.k.max())"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "135445f0-625b-4d96-a290-692aacf1a924",
   "metadata": {},
   "source": [
    "### check Parseval"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "b638fe74-4c30-482d-9dd5-dac99544524a",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.lines.Line2D at 0x137fe6560>"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "Ei = E.sum(\"k\")*dk\n",
    "\n",
    "fig, ax = plt.subplots(1,1)\n",
    "\n",
    "Ei.u.plot(label=\"u\")\n",
    "Ei.u_phys.plot(label=\"u_phys\")\n",
    "#Ei.n.plot(label=\"n\")\n",
    "\n",
    "ax.axhline(float(ds.u.std()**2), color=\"tab:blue\", ls=\"--\")\n",
    "ax.axhline(float(ds.n.std()**2), color=\"tab:green\", ls=\"--\")\n",
    "\n",
    "#ax.set_yscale(\"log\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "dce0143a-8809-4a46-a89b-6b2bf181b572",
   "metadata": {},
   "source": [
    "### inspect spectra"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "c75dd3c7-57f9-4cce-947d-9da75231eae3",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "_E = E.mean(\"draw\").where(E.k>0)\n",
    "\n",
    "fig, ax = plt.subplots(1,1)\n",
    "_E.u.plot(ax=ax, label=\"u\")\n",
    "_E.u_phys.plot(ax=ax, label=\"u_phys\")\n",
    "_E.n.plot(ax=ax, label=\"noise\")\n",
    "\n",
    "ax.axhline(float(ds.n.std()**2)/2/k_max, color=\"tab:green\", ls=\"--\")\n",
    "\n",
    "ax.set_xscale(\"log\")\n",
    "ax.set_yscale(\"log\")\n",
    "ax.legend()\n",
    "ax.grid()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "44e992e2-1b8e-4e33-9d5e-7cdd1a36214b",
   "metadata": {},
   "source": [
    "---\n",
    "\n",
    "## variance budget\n",
    "\n",
    "\n",
    "$\n",
    "\\begin{align}\n",
    "\\int^k E_p(k) &=  \\int^k \\frac{E_0}{\\Big [ 1+(Lk/2\\pi)^2 \\Big ]^{s/2}} dk, \\\\\n",
    "&=  \\frac{2\\pi E_0}{L} \\int^{kL/2\\pi} \\frac{E_0}{\\Big [ 1+ k^2 \\Big ]^{s/2}} dk, \\\\\n",
    "&= \\frac{2\\pi E_0}{L} [ k\\times\\sideset{_2}{_1}{F}(1/2, s/2, 3/2, -k^2) ]^{Lk_+/2\\pi}_{Lk_-/2\\pi} \\\\\n",
    "\\end{align}\n",
    "$\n",
    "\n",
    "dixit [WolframAlpha](https://www.wolframalpha.com/input?i=integrate+1%2F%281%2B+x%5E2%29%5Es+++)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "a0fe4045-0312-45c8-a058-76661ca40f93",
   "metadata": {},
   "outputs": [],
   "source": [
    "from scipy.special import hyp2f1\n",
    "#https://docs.scipy.org/doc/scipy/reference/generated/scipy.special.hyp2f1.html"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "c079aee6-4cd7-4ff7-9d85-0d2f2f7c8727",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "Ep_cum = lambda km, kp, s: kp*L*hyp2f1(0.5, s/2, 1.5, -(L*kp)**2) - km*L*hyp2f1(0.5, s/2, 1.5, -(L*km)**2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "dbf00df0-be8a-490a-b8f7-8ab0b82e0d2d",
   "metadata": {},
   "outputs": [],
   "source": [
    "E[\"u_phys_cum_theoretical\"] =  Up**2 * Ep_cum(0, E.k, s)/Ep_cum(0, k_max, s)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "a1ed453b-8a33-4d40-912b-93d108b8898a",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "_Ec = 2*E.mean(\"draw\").where(E.k>=0, drop=True).sortby(\"k\").cumsum(\"k\")*dk\n",
    "_E = E.mean(\"draw\").where(E.k>=0, drop=True).sortby(\"k\")\n",
    "_Ec = _Ec.assign_coords(k=_E.k) # cumsum drops index coords\n",
    "\n",
    "fig, ax = plt.subplots(1,1)\n",
    "_Ec.u.plot(ax=ax, label=\"u\")\n",
    "_Ec.u_phys.plot(ax=ax, label=\"u_phys\")\n",
    "_E.u_phys_cum_theoretical.plot(ax=ax, label=\"u_phys theoretical\")\n",
    "\n",
    "#ax.axhline(float(ds.n.std()**2)/2/k_max, color=\"tab:green\", ls=\"--\")\n",
    "\n",
    "ax.set_xscale(\"log\")\n",
    "#ax.set_yscale(\"log\")\n",
    "ax.legend()\n",
    "ax.grid()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "635eb34d-6ebd-4f7f-bddc-f7d972cc07ed",
   "metadata": {},
   "source": [
    "Empirical variance estimate may be suffering from windowing effect?\n",
    "\n",
    "Should be seen on Parseval check above ..."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0fb2b4e9-46c7-4f4f-9383-55843344cd76",
   "metadata": {},
   "source": [
    "---\n",
    "\n",
    "## estimate missing energy"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "f740ff91-8c25-496d-8d54-59f3ec44d450",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "dst = E[[\"k\"]]\n",
    "dst = dst.where(dst.k>0, drop=True)\n",
    "dst = dst.assign_coords(\n",
    "    s=(\"s\", np.arange(4,5,.05)),\n",
    "    **{\"k x L\": dst.k*L}\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "3e821163-b4af-4328-b892-73a0d55b2181",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "dst[\"V_captured\"] =  Ep_cum(0, dst.k, dst.s)/Ep_cum(0, k_max, dst.s)\n",
    "dst[\"V_missed\"] = 1 - dst[\"V_captured\"]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "d7e5d5ff-9d97-44d4-acc1-6f0625222f6c",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(1,1)\n",
    "(dst[\"V_missed\"]*100).plot.contourf(x=\"k\", levels=[50, 80, 90, 95, 99, 100]) #x=\"k x L\", \n",
    "#levels=[50, 60, 70, 80, 90, 95, 99, 99.9, 100])\n",
    "#ax.set_xscale(\"log\")\n",
    "ax.grid()\n",
    "ax.set_title(\"energy missed as a function of cutoff wavenumber and spectral slope\")\n",
    "#ax.set_xlim(0,5)\n",
    "ax.set_xscale(\"log\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "id": "eaf7ea20-e2c7-4e40-8e1d-22610c9bf8ac",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(1e-07, 2)"
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(1,1)\n",
    "\n",
    "for s in [4, 4.5, 5]:\n",
    "    (dst[\"V_missed\"]).sel(s=s, method=\"nearest\").plot(x=\"k x L\", label=str(s))\n",
    "ax.grid()\n",
    "ax.set_xscale(\"log\")\n",
    "ax.set_yscale(\"log\")\n",
    "ax.set_title(\"energy missed as a function of cutoff wavenumber and spectral slope\")\n",
    "ax.legend()\n",
    "ax.set_ylim(1e-7, 2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "id": "4a27ec74-7586-4521-9753-6c8505263275",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(1e-07, 2)"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(1,1)\n",
    "\n",
    "for s in [4, 4.5, 5]:\n",
    "    (dst[\"V_missed\"]).sel(s=s, method=\"nearest\").plot(x=\"k\", label=str(s))\n",
    "ax.grid()\n",
    "ax.set_xscale(\"log\")\n",
    "ax.set_yscale(\"log\")\n",
    "ax.set_title(\"energy missed as a function of cutoff wavenumber and spectral slope\")\n",
    "ax.legend()\n",
    "ax.set_ylim(1e-7, 2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "3bea15a9-213a-4837-9803-77a922953f0d",
   "metadata": {},
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