Skip to content

Instantly share code, notes, and snippets.

@rabernat
Created October 8, 2021 15:05
Show Gist options
  • Save rabernat/4daac950d20039d2d50ad9fec66c76e4 to your computer and use it in GitHub Desktop.
Save rabernat/4daac950d20039d2d50ad9fec66c76e4 to your computer and use it in GitHub Desktop.
Display the source blob
Display the rendered blob
Raw
{
"cells": [
{
"cell_type": "markdown",
"id": "98483393-223c-4637-9e23-f9565cd1547a",
"metadata": {},
"source": [
"# Simple SST Variance Model\n",
"\n",
"Inspired by [Frankignoul and Hasselmann (1977)](https://www.tandfonline.com/doi/abs/10.3402/tellusa.v29i4.11362) (henceforth FH77).\n",
"\n",
"## Goals of this notebook\n",
"\n",
"- ✅ Develop a simple analytical / numerical model we can use to build intuition about the SST spectral variance budget\n",
"- ✅ Verify consistency between expected analytical results and diagnostics of numerical simulations\n",
"\n",
"\n",
"## The Model: Mixed Layer Head Budget\n",
"\n",
"We will model the SST in the mixed layer as:\n",
"\n",
"$$\n",
"\\rho_0 c_p h \\frac{\\partial T}{\\partial t} = Q - \\lambda T\n",
"$$\n",
"\n",
"where $Q$ is atmospheric forcing (assumed to be random) and the $-\\lambda T$ process represents some unspecified damping / dissipation process (could be latent / sensible heat flux, mixing, etc.).\n",
"\n",
"We can rearrange the equation to\n",
"\n",
"$$\n",
"\\frac{\\partial T}{\\partial t} = \\frac{ Q - \\lambda T }{\\rho_0 c_p h }\n",
"$$\n",
"\n",
"\n",
"and absorb the $\\rho_0 c_p h$ factor into the other two coefficients.\n",
"We will model $Q$ as a white noise process, in which case the equation becomes a [Ornstein Uhlenbeck process](https://en.wikipedia.org/wiki/Ornstein%E2%80%93Uhlenbeck_process), which we can express in Lagevin equation form as:\n",
"\n",
"\n",
"$$\n",
"\\frac{\\partial T}{\\partial t} = - \\theta T + \\sigma \\eta(t) \\ .\n",
"$$\n",
"\n",
"where $\\theta = \\lambda / (\\rho_0 c_p h)$, $\\sigma = Q_0 / (\\rho_0 c_p h)$ with $Q_0$ representing the magnitude of the air-sea forcing, and $\\eta(t)$ as a white noise process with unit variance.\n",
"\n",
"We can interpret $\\theta$ as an inverse timescale. $\\tau_\\theta = \\theta^{-1}$ is the characteristic damping time of the system."
]
},
{
"cell_type": "markdown",
"id": "2d76b282-3286-4ed1-99e8-a5c4f13e92bb",
"metadata": {},
"source": [
"FN77 actually solve the equation analytically for certain statistical properties.\n",
"\n",
"For $t \\gg \\tau_\\theta$, the variance of $T$ is expected to asympotote to\n",
"\n",
"$$\n",
"\\langle T^2 \\rangle = \\frac{\\sigma^2}{2 \\theta}\n",
"$$\n",
"\n",
"\n",
"where the angle brackets are an ensemble and / or time average. (The mean is zero.)\n"
]
},
{
"cell_type": "markdown",
"id": "859b48ca-01be-486f-a535-98d3f28aa6d5",
"metadata": {},
"source": [
"To solve this equation numerically, it's better to express it in its Ito calculus form:\n",
"\n",
"$$\n",
"dT_t = - \\theta T_t dt + \\sigma dW_t\n",
"$$\n",
"\n",
"\n",
"We solve the equation using the [Euler Maruyama method](https://en.wikipedia.org/wiki/Euler%E2%80%93Maruyama_method) and compare the numerical solution to analytical solution.\n",
"\n",
"We also diagnose a \"budget\" from the model by simply summing up the two tendency terms (\"forcing\" and \"damping\") on the RHS of the prognostic equation. This creates a dataset which is analagous to what we would expect from a GCM output."
]
},
{
"cell_type": "code",
"execution_count": 1,
"id": "5b939250-7740-4db1-aebf-5087e320c6dc",
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"from matplotlib import pyplot as plt\n",
"import xarray as xr\n",
"import xrft\n",
"from tqdm import tqdm\n",
"\n",
"def solve_sde(theta, sigma, dt=0.0001, n=1_000_000):\n",
"\n",
" t = np.arange(n) * dt\n",
" t_mid = np.arange(n-1) * dt + dt/2\n",
"\n",
" sqrtdt = np.sqrt(dt)\n",
" T = np.zeros(n)\n",
" \n",
" budget_forcing = np.zeros(n-1)\n",
" budget_damping = np.zeros(n-1)\n",
" \n",
" for i in range(n - 1):\n",
" forcing = sigma * sqrtdt * np.random.randn()\n",
" # Note that the damping is calculated from T[i], which is lagging slightly behind\n",
" # A higher order scheme would approximate this better\n",
" damping = - dt * theta * T[i]\n",
" T[i + 1] = T[i] + forcing + damping\n",
" budget_forcing[i] = forcing / dt\n",
" budget_damping[i] = damping / dt\n",
" \n",
" ds = xr.Dataset(\n",
" {\n",
" 'temperature': ('time', T),\n",
" 'forcing': ('time_mid', budget_forcing),\n",
" 'damping': ('time_mid', budget_damping),\n",
" 'total_tendency': ('time_mid', budget_forcing + budget_damping)\n",
" },\n",
" coords={\n",
" 'time': ('time', t, {'axis': 'T', 'c_grid_axis_shift': 0.5}),\n",
" 'time_mid': ('time_mid', t_mid, {'axis': 'T'})\n",
" }\n",
" )\n",
" \n",
" return ds"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "15b13783-d574-4e88-92f6-774b07bd8a9f",
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"100%|██████████| 50/50 [01:21<00:00, 1.63s/it]\n"
]
}
],
"source": [
"theta = 1\n",
"sigma = 0.1\n",
"\n",
"n_ensembles = 50\n",
"members = [solve_sde(theta, sigma) for n in tqdm(range(n_ensembles))]"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "a6a8622c-b083-4b1b-8d04-4947ea83b499",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<div><svg style=\"position: absolute; width: 0; height: 0; overflow: hidden\">\n",
"<defs>\n",
"<symbol id=\"icon-database\" viewBox=\"0 0 32 32\">\n",
"<path d=\"M16 0c-8.837 0-16 2.239-16 5v4c0 2.761 7.163 5 16 5s16-2.239 16-5v-4c0-2.761-7.163-5-16-5z\"></path>\n",
"<path d=\"M16 17c-8.837 0-16-2.239-16-5v6c0 2.761 7.163 5 16 5s16-2.239 16-5v-6c0 2.761-7.163 5-16 5z\"></path>\n",
"<path d=\"M16 26c-8.837 0-16-2.239-16-5v6c0 2.761 7.163 5 16 5s16-2.239 16-5v-6c0 2.761-7.163 5-16 5z\"></path>\n",
"</symbol>\n",
"<symbol id=\"icon-file-text2\" viewBox=\"0 0 32 32\">\n",
"<path d=\"M28.681 7.159c-0.694-0.947-1.662-2.053-2.724-3.116s-2.169-2.030-3.116-2.724c-1.612-1.182-2.393-1.319-2.841-1.319h-15.5c-1.378 0-2.5 1.121-2.5 2.5v27c0 1.378 1.122 2.5 2.5 2.5h23c1.378 0 2.5-1.122 2.5-2.5v-19.5c0-0.448-0.137-1.23-1.319-2.841zM24.543 5.457c0.959 0.959 1.712 1.825 2.268 2.543h-4.811v-4.811c0.718 0.556 1.584 1.309 2.543 2.268zM28 29.5c0 0.271-0.229 0.5-0.5 0.5h-23c-0.271 0-0.5-0.229-0.5-0.5v-27c0-0.271 0.229-0.5 0.5-0.5 0 0 15.499-0 15.5 0v7c0 0.552 0.448 1 1 1h7v19.5z\"></path>\n",
"<path d=\"M23 26h-14c-0.552 0-1-0.448-1-1s0.448-1 1-1h14c0.552 0 1 0.448 1 1s-0.448 1-1 1z\"></path>\n",
"<path d=\"M23 22h-14c-0.552 0-1-0.448-1-1s0.448-1 1-1h14c0.552 0 1 0.448 1 1s-0.448 1-1 1z\"></path>\n",
"<path d=\"M23 18h-14c-0.552 0-1-0.448-1-1s0.448-1 1-1h14c0.552 0 1 0.448 1 1s-0.448 1-1 1z\"></path>\n",
"</symbol>\n",
"</defs>\n",
"</svg>\n",
"<style>/* CSS stylesheet for displaying xarray objects in jupyterlab.\n",
" *\n",
" */\n",
"\n",
":root {\n",
" --xr-font-color0: var(--jp-content-font-color0, rgba(0, 0, 0, 1));\n",
" --xr-font-color2: var(--jp-content-font-color2, rgba(0, 0, 0, 0.54));\n",
" --xr-font-color3: var(--jp-content-font-color3, rgba(0, 0, 0, 0.38));\n",
" --xr-border-color: var(--jp-border-color2, #e0e0e0);\n",
" --xr-disabled-color: var(--jp-layout-color3, #bdbdbd);\n",
" --xr-background-color: var(--jp-layout-color0, white);\n",
" --xr-background-color-row-even: var(--jp-layout-color1, white);\n",
" --xr-background-color-row-odd: var(--jp-layout-color2, #eeeeee);\n",
"}\n",
"\n",
"html[theme=dark],\n",
"body.vscode-dark {\n",
" --xr-font-color0: rgba(255, 255, 255, 1);\n",
" --xr-font-color2: rgba(255, 255, 255, 0.54);\n",
" --xr-font-color3: rgba(255, 255, 255, 0.38);\n",
" --xr-border-color: #1F1F1F;\n",
" --xr-disabled-color: #515151;\n",
" --xr-background-color: #111111;\n",
" --xr-background-color-row-even: #111111;\n",
" --xr-background-color-row-odd: #313131;\n",
"}\n",
"\n",
".xr-wrap {\n",
" display: block;\n",
" min-width: 300px;\n",
" max-width: 700px;\n",
"}\n",
"\n",
".xr-text-repr-fallback {\n",
" /* fallback to plain text repr when CSS is not injected (untrusted notebook) */\n",
" display: none;\n",
"}\n",
"\n",
".xr-header {\n",
" padding-top: 6px;\n",
" padding-bottom: 6px;\n",
" margin-bottom: 4px;\n",
" border-bottom: solid 1px var(--xr-border-color);\n",
"}\n",
"\n",
".xr-header > div,\n",
".xr-header > ul {\n",
" display: inline;\n",
" margin-top: 0;\n",
" margin-bottom: 0;\n",
"}\n",
"\n",
".xr-obj-type,\n",
".xr-array-name {\n",
" margin-left: 2px;\n",
" margin-right: 10px;\n",
"}\n",
"\n",
".xr-obj-type {\n",
" color: var(--xr-font-color2);\n",
"}\n",
"\n",
".xr-sections {\n",
" padding-left: 0 !important;\n",
" display: grid;\n",
" grid-template-columns: 150px auto auto 1fr 20px 20px;\n",
"}\n",
"\n",
".xr-section-item {\n",
" display: contents;\n",
"}\n",
"\n",
".xr-section-item input {\n",
" display: none;\n",
"}\n",
"\n",
".xr-section-item input + label {\n",
" color: var(--xr-disabled-color);\n",
"}\n",
"\n",
".xr-section-item input:enabled + label {\n",
" cursor: pointer;\n",
" color: var(--xr-font-color2);\n",
"}\n",
"\n",
".xr-section-item input:enabled + label:hover {\n",
" color: var(--xr-font-color0);\n",
"}\n",
"\n",
".xr-section-summary {\n",
" grid-column: 1;\n",
" color: var(--xr-font-color2);\n",
" font-weight: 500;\n",
"}\n",
"\n",
".xr-section-summary > span {\n",
" display: inline-block;\n",
" padding-left: 0.5em;\n",
"}\n",
"\n",
".xr-section-summary-in:disabled + label {\n",
" color: var(--xr-font-color2);\n",
"}\n",
"\n",
".xr-section-summary-in + label:before {\n",
" display: inline-block;\n",
" content: '►';\n",
" font-size: 11px;\n",
" width: 15px;\n",
" text-align: center;\n",
"}\n",
"\n",
".xr-section-summary-in:disabled + label:before {\n",
" color: var(--xr-disabled-color);\n",
"}\n",
"\n",
".xr-section-summary-in:checked + label:before {\n",
" content: '▼';\n",
"}\n",
"\n",
".xr-section-summary-in:checked + label > span {\n",
" display: none;\n",
"}\n",
"\n",
".xr-section-summary,\n",
".xr-section-inline-details {\n",
" padding-top: 4px;\n",
" padding-bottom: 4px;\n",
"}\n",
"\n",
".xr-section-inline-details {\n",
" grid-column: 2 / -1;\n",
"}\n",
"\n",
".xr-section-details {\n",
" display: none;\n",
" grid-column: 1 / -1;\n",
" margin-bottom: 5px;\n",
"}\n",
"\n",
".xr-section-summary-in:checked ~ .xr-section-details {\n",
" display: contents;\n",
"}\n",
"\n",
".xr-array-wrap {\n",
" grid-column: 1 / -1;\n",
" display: grid;\n",
" grid-template-columns: 20px auto;\n",
"}\n",
"\n",
".xr-array-wrap > label {\n",
" grid-column: 1;\n",
" vertical-align: top;\n",
"}\n",
"\n",
".xr-preview {\n",
" color: var(--xr-font-color3);\n",
"}\n",
"\n",
".xr-array-preview,\n",
".xr-array-data {\n",
" padding: 0 5px !important;\n",
" grid-column: 2;\n",
"}\n",
"\n",
".xr-array-data,\n",
".xr-array-in:checked ~ .xr-array-preview {\n",
" display: none;\n",
"}\n",
"\n",
".xr-array-in:checked ~ .xr-array-data,\n",
".xr-array-preview {\n",
" display: inline-block;\n",
"}\n",
"\n",
".xr-dim-list {\n",
" display: inline-block !important;\n",
" list-style: none;\n",
" padding: 0 !important;\n",
" margin: 0;\n",
"}\n",
"\n",
".xr-dim-list li {\n",
" display: inline-block;\n",
" padding: 0;\n",
" margin: 0;\n",
"}\n",
"\n",
".xr-dim-list:before {\n",
" content: '(';\n",
"}\n",
"\n",
".xr-dim-list:after {\n",
" content: ')';\n",
"}\n",
"\n",
".xr-dim-list li:not(:last-child):after {\n",
" content: ',';\n",
" padding-right: 5px;\n",
"}\n",
"\n",
".xr-has-index {\n",
" font-weight: bold;\n",
"}\n",
"\n",
".xr-var-list,\n",
".xr-var-item {\n",
" display: contents;\n",
"}\n",
"\n",
".xr-var-item > div,\n",
".xr-var-item label,\n",
".xr-var-item > .xr-var-name span {\n",
" background-color: var(--xr-background-color-row-even);\n",
" margin-bottom: 0;\n",
"}\n",
"\n",
".xr-var-item > .xr-var-name:hover span {\n",
" padding-right: 5px;\n",
"}\n",
"\n",
".xr-var-list > li:nth-child(odd) > div,\n",
".xr-var-list > li:nth-child(odd) > label,\n",
".xr-var-list > li:nth-child(odd) > .xr-var-name span {\n",
" background-color: var(--xr-background-color-row-odd);\n",
"}\n",
"\n",
".xr-var-name {\n",
" grid-column: 1;\n",
"}\n",
"\n",
".xr-var-dims {\n",
" grid-column: 2;\n",
"}\n",
"\n",
".xr-var-dtype {\n",
" grid-column: 3;\n",
" text-align: right;\n",
" color: var(--xr-font-color2);\n",
"}\n",
"\n",
".xr-var-preview {\n",
" grid-column: 4;\n",
"}\n",
"\n",
".xr-var-name,\n",
".xr-var-dims,\n",
".xr-var-dtype,\n",
".xr-preview,\n",
".xr-attrs dt {\n",
" white-space: nowrap;\n",
" overflow: hidden;\n",
" text-overflow: ellipsis;\n",
" padding-right: 10px;\n",
"}\n",
"\n",
".xr-var-name:hover,\n",
".xr-var-dims:hover,\n",
".xr-var-dtype:hover,\n",
".xr-attrs dt:hover {\n",
" overflow: visible;\n",
" width: auto;\n",
" z-index: 1;\n",
"}\n",
"\n",
".xr-var-attrs,\n",
".xr-var-data {\n",
" display: none;\n",
" background-color: var(--xr-background-color) !important;\n",
" padding-bottom: 5px !important;\n",
"}\n",
"\n",
".xr-var-attrs-in:checked ~ .xr-var-attrs,\n",
".xr-var-data-in:checked ~ .xr-var-data {\n",
" display: block;\n",
"}\n",
"\n",
".xr-var-data > table {\n",
" float: right;\n",
"}\n",
"\n",
".xr-var-name span,\n",
".xr-var-data,\n",
".xr-attrs {\n",
" padding-left: 25px !important;\n",
"}\n",
"\n",
".xr-attrs,\n",
".xr-var-attrs,\n",
".xr-var-data {\n",
" grid-column: 1 / -1;\n",
"}\n",
"\n",
"dl.xr-attrs {\n",
" padding: 0;\n",
" margin: 0;\n",
" display: grid;\n",
" grid-template-columns: 125px auto;\n",
"}\n",
"\n",
".xr-attrs dt,\n",
".xr-attrs dd {\n",
" padding: 0;\n",
" margin: 0;\n",
" float: left;\n",
" padding-right: 10px;\n",
" width: auto;\n",
"}\n",
"\n",
".xr-attrs dt {\n",
" font-weight: normal;\n",
" grid-column: 1;\n",
"}\n",
"\n",
".xr-attrs dt:hover span {\n",
" display: inline-block;\n",
" background: var(--xr-background-color);\n",
" padding-right: 10px;\n",
"}\n",
"\n",
".xr-attrs dd {\n",
" grid-column: 2;\n",
" white-space: pre-wrap;\n",
" word-break: break-all;\n",
"}\n",
"\n",
".xr-icon-database,\n",
".xr-icon-file-text2 {\n",
" display: inline-block;\n",
" vertical-align: middle;\n",
" width: 1em;\n",
" height: 1.5em !important;\n",
" stroke-width: 0;\n",
" stroke: currentColor;\n",
" fill: currentColor;\n",
"}\n",
"</style><pre class='xr-text-repr-fallback'>&lt;xarray.Dataset&gt;\n",
"Dimensions: (member: 50, time: 1000000, time_mid: 999999)\n",
"Coordinates:\n",
" * time (time) float64 0.0 0.0001 0.0002 ... 100.0 100.0 100.0\n",
" * time_mid (time_mid) float64 5e-05 0.00015 0.00025 ... 100.0 100.0\n",
"Dimensions without coordinates: member\n",
"Data variables:\n",
" temperature (member, time) float64 0.0 0.0004731 ... 0.06279 0.06332\n",
" forcing (member, time_mid) float64 4.731 -10.82 ... 5.713 5.347\n",
" damping (member, time_mid) float64 -0.0 -0.0004731 ... -0.06279\n",
" total_tendency (member, time_mid) float64 4.731 -10.82 ... 5.651 5.284</pre><div class='xr-wrap' hidden><div class='xr-header'><div class='xr-obj-type'>xarray.Dataset</div></div><ul class='xr-sections'><li class='xr-section-item'><input id='section-41545885-b8f7-407d-925e-abececbf65fa' class='xr-section-summary-in' type='checkbox' disabled ><label for='section-41545885-b8f7-407d-925e-abececbf65fa' class='xr-section-summary' title='Expand/collapse section'>Dimensions:</label><div class='xr-section-inline-details'><ul class='xr-dim-list'><li><span>member</span>: 50</li><li><span class='xr-has-index'>time</span>: 1000000</li><li><span class='xr-has-index'>time_mid</span>: 999999</li></ul></div><div class='xr-section-details'></div></li><li class='xr-section-item'><input id='section-91924e1e-0daa-4c34-88d1-ae347385c2a3' class='xr-section-summary-in' type='checkbox' checked><label for='section-91924e1e-0daa-4c34-88d1-ae347385c2a3' class='xr-section-summary' >Coordinates: <span>(2)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>time</span></div><div class='xr-var-dims'>(time)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>0.0 0.0001 0.0002 ... 100.0 100.0</div><input id='attrs-6c13a000-317b-4f13-9494-da073c8c673e' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-6c13a000-317b-4f13-9494-da073c8c673e' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-db7970fb-e53d-4255-95ee-d1846023675a' class='xr-var-data-in' type='checkbox'><label for='data-db7970fb-e53d-4255-95ee-d1846023675a' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>axis :</span></dt><dd>T</dd><dt><span>c_grid_axis_shift :</span></dt><dd>0.5</dd></dl></div><div class='xr-var-data'><pre>array([0.00000e+00, 1.00000e-04, 2.00000e-04, ..., 9.99997e+01, 9.99998e+01,\n",
" 9.99999e+01])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>time_mid</span></div><div class='xr-var-dims'>(time_mid)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>5e-05 0.00015 ... 100.0 100.0</div><input id='attrs-c115d4de-a534-4c79-a060-1a42d6a213b3' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-c115d4de-a534-4c79-a060-1a42d6a213b3' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-2dcf29db-56f1-4f76-9ec6-4f0c6731615f' class='xr-var-data-in' type='checkbox'><label for='data-2dcf29db-56f1-4f76-9ec6-4f0c6731615f' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>axis :</span></dt><dd>T</dd></dl></div><div class='xr-var-data'><pre>array([5.000000e-05, 1.500000e-04, 2.500000e-04, ..., 9.999965e+01,\n",
" 9.999975e+01, 9.999985e+01])</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-f39c885d-fcae-452a-935d-ec19a749f815' class='xr-section-summary-in' type='checkbox' checked><label for='section-f39c885d-fcae-452a-935d-ec19a749f815' class='xr-section-summary' >Data variables: <span>(4)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-var-name'><span>temperature</span></div><div class='xr-var-dims'>(member, time)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>0.0 0.0004731 ... 0.06279 0.06332</div><input id='attrs-68daed0a-df23-4519-8d03-427ee9a44e66' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-68daed0a-df23-4519-8d03-427ee9a44e66' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-19068eb0-8512-47e3-98bc-b46941dcad08' class='xr-var-data-in' type='checkbox'><label for='data-19068eb0-8512-47e3-98bc-b46941dcad08' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([[ 0.00000000e+00, 4.73086502e-04, -6.08652730e-04, ...,\n",
" -3.98221268e-02, -3.95781270e-02, -4.03760751e-02],\n",
" [ 0.00000000e+00, -1.08501286e-03, -9.30054189e-04, ...,\n",
" -4.20432287e-02, -4.29264626e-02, -4.43070492e-02],\n",
" [ 0.00000000e+00, -1.51035344e-03, -8.01949074e-04, ...,\n",
" 7.13762710e-02, 7.03799146e-02, 7.17211195e-02],\n",
" ...,\n",
" [ 0.00000000e+00, 2.48410827e-05, 6.68718848e-04, ...,\n",
" -6.89801286e-02, -6.87306107e-02, -6.77093545e-02],\n",
" [ 0.00000000e+00, -4.04392287e-04, 5.84262778e-05, ...,\n",
" -7.97883072e-02, -8.08113449e-02, -8.04462368e-02],\n",
" [ 0.00000000e+00, 2.26119804e-03, 1.66144095e-03, ...,\n",
" 6.22216422e-02, 6.27867602e-02, 6.33151360e-02]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>forcing</span></div><div class='xr-var-dims'>(member, time_mid)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>4.731 -10.82 -7.29 ... 5.713 5.347</div><input id='attrs-d4cf279d-d370-4df9-90d1-a24840080d9a' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-d4cf279d-d370-4df9-90d1-a24840080d9a' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-3dd80c9a-2a43-4d30-a03c-1422a8ad0523' class='xr-var-data-in' type='checkbox'><label for='data-3dd80c9a-2a43-4d30-a03c-1422a8ad0523' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([[ 4.73086502, -10.81691923, -7.28959763, ..., -7.42529277,\n",
" 2.40017544, -8.01905934],\n",
" [-10.85012864, 1.54850173, 3.66101621, ..., -0.60138896,\n",
" -8.87438128, -13.84879271],\n",
" [-15.1035344 , 7.08253331, 8.46214856, ..., 12.74263157,\n",
" -9.89218799, 13.48242896],\n",
" ...,\n",
" [ 0.24841083, 6.4388025 , -12.52079044, ..., -8.76606125,\n",
" 2.42619876, 10.14383142],\n",
" [ -4.04392287, 4.62778126, -11.29746428, ..., -14.94382432,\n",
" -10.31016569, 3.57026996],\n",
" [ 22.61198045, -5.99530971, 1.92290663, ..., 4.43484627,\n",
" 5.71340213, 5.34654425]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>damping</span></div><div class='xr-var-dims'>(member, time_mid)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>-0.0 -0.0004731 ... -0.06279</div><input id='attrs-d84d2043-6987-4847-b19a-3b8e7160e976' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-d84d2043-6987-4847-b19a-3b8e7160e976' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-589099cb-e7e2-4db4-865c-36ea8d1b4774' class='xr-var-data-in' type='checkbox'><label for='data-589099cb-e7e2-4db4-865c-36ea8d1b4774' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([[-0.00000000e+00, -4.73086502e-04, 6.08652730e-04, ...,\n",
" 3.90835058e-02, 3.98221268e-02, 3.95781270e-02],\n",
" [-0.00000000e+00, 1.08501286e-03, 9.30054189e-04, ...,\n",
" 4.19872886e-02, 4.20432287e-02, 4.29264626e-02],\n",
" [-0.00000000e+00, 1.51035344e-03, 8.01949074e-04, ...,\n",
" -7.01090187e-02, -7.13762710e-02, -7.03799146e-02],\n",
" ...,\n",
" [-0.00000000e+00, -2.48410827e-05, -6.68718848e-04, ...,\n",
" 6.81103335e-02, 6.89801286e-02, 6.87306107e-02],\n",
" [-0.00000000e+00, 4.04392287e-04, -5.84262778e-05, ...,\n",
" 7.83017549e-02, 7.97883072e-02, 8.08113449e-02],\n",
" [-0.00000000e+00, -2.26119804e-03, -1.66144095e-03, ...,\n",
" -6.17843360e-02, -6.22216422e-02, -6.27867602e-02]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>total_tendency</span></div><div class='xr-var-dims'>(member, time_mid)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>4.731 -10.82 -7.289 ... 5.651 5.284</div><input id='attrs-cbaa0499-4cc8-4e10-aa5b-9f99824a9f16' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-cbaa0499-4cc8-4e10-aa5b-9f99824a9f16' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-503d5eec-0cc2-410b-8f94-8ed5b0290ef5' class='xr-var-data-in' type='checkbox'><label for='data-503d5eec-0cc2-410b-8f94-8ed5b0290ef5' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([[ 4.73086502, -10.81739232, -7.28898898, ..., -7.38620927,\n",
" 2.43999756, -7.97948122],\n",
" [-10.85012864, 1.54958675, 3.66194626, ..., -0.55940167,\n",
" -8.83233806, -13.80586625],\n",
" [-15.1035344 , 7.08404366, 8.46295051, ..., 12.67252256,\n",
" -9.96356426, 13.41204905],\n",
" ...,\n",
" [ 0.24841083, 6.43877766, -12.52145916, ..., -8.69795091,\n",
" 2.49517889, 10.21256203],\n",
" [ -4.04392287, 4.62818565, -11.2975227 , ..., -14.86552257,\n",
" -10.23037739, 3.6510813 ],\n",
" [ 22.61198045, -5.99757091, 1.92124519, ..., 4.37306194,\n",
" 5.65118048, 5.28375749]])</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-80fbe76c-f248-49f3-a0c7-d80048b244ca' class='xr-section-summary-in' type='checkbox' disabled ><label for='section-80fbe76c-f248-49f3-a0c7-d80048b244ca' class='xr-section-summary' title='Expand/collapse section'>Attributes: <span>(0)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><dl class='xr-attrs'></dl></div></li></ul></div></div>"
],
"text/plain": [
"<xarray.Dataset>\n",
"Dimensions: (member: 50, time: 1000000, time_mid: 999999)\n",
"Coordinates:\n",
" * time (time) float64 0.0 0.0001 0.0002 ... 100.0 100.0 100.0\n",
" * time_mid (time_mid) float64 5e-05 0.00015 0.00025 ... 100.0 100.0\n",
"Dimensions without coordinates: member\n",
"Data variables:\n",
" temperature (member, time) float64 0.0 0.0004731 ... 0.06279 0.06332\n",
" forcing (member, time_mid) float64 4.731 -10.82 ... 5.713 5.347\n",
" damping (member, time_mid) float64 -0.0 -0.0004731 ... -0.06279\n",
" total_tendency (member, time_mid) float64 4.731 -10.82 ... 5.651 5.284"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"ds = xr.concat(members, dim='member')\n",
"del members # free up unused memory?\n",
"ds"
]
},
{
"cell_type": "markdown",
"id": "f807dcb9-1b87-4874-ac3e-e405c3842d51",
"metadata": {},
"source": [
"## Visualize Solution"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "771a81ac-ad04-4cda-a38e-c88b6d3c0ef7",
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 864x360 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"ds.temperature.isel(time=slice(0, 1000)).plot.line(x='time', figsize=(12, 5), add_legend=False);"
]
},
{
"cell_type": "markdown",
"id": "c76e85ed-b891-4677-b3f0-6ad037447cab",
"metadata": {},
"source": [
"Verify approximately zero mean (compared to a single ensemble member)."
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "be067b6f-591c-43e9-bfec-ee2018dbc914",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7fafe1d2eb80>]"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 864x360 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"ds.temperature.sel(member=0).plot(figsize=(12, 5))\n",
"ds.temperature.mean(dim='member').plot()"
]
},
{
"cell_type": "markdown",
"id": "48e599e0-5002-4e90-93d2-78bdc2c5cb62",
"metadata": {},
"source": [
"Verify the expected variance."
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "bdca12c7-a2ca-4ef2-9229-be15387daecb",
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots()\n",
"\n",
"expected_std = np.sqrt(sigma**2 / (2*theta))\n",
"\n",
"ds.temperature.std(dim='member').plot(ax=ax)\n",
"ax.hlines(expected_std, ds.time[0], ds.time[-1], colors='k', zorder=99)\n",
"\n",
"ax.grid()"
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "b61c1459-5561-49c2-99af-e655a9bcc58b",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(array(0.07127127), 0.07071067811865477)"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"ds.temperature.sel(time=slice(2, None)).std().values, expected_std"
]
},
{
"cell_type": "markdown",
"id": "cea54e5e-8368-44e6-8b1d-b706a37b9058",
"metadata": {},
"source": [
"## Budget Terms\n",
"\n",
"First we verify that the budget closes for one ensemble member."
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "97279e37-ac83-477c-9792-02574fb905db",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<xgcm.Grid>\n",
"T Axis (periodic, boundary=None):\n",
" * center time_mid --> outer\n",
" * outer time --> center"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"import xgcm\n",
"grid = xgcm.Grid(ds)\n",
"grid"
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "ce0da5e2-0e91-4565-a5d1-35d6bc3bf9e8",
"metadata": {},
"outputs": [],
"source": [
"dt = 0.0001\n",
"ds0 = ds.sel(member=0)\n",
"ds0['dTdt'] = grid.diff(ds0.temperature, 'T') / dt"
]
},
{
"cell_type": "code",
"execution_count": 10,
"id": "98788e2c-54e2-4744-85a1-6da22de5e875",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<div><svg style=\"position: absolute; width: 0; height: 0; overflow: hidden\">\n",
"<defs>\n",
"<symbol id=\"icon-database\" viewBox=\"0 0 32 32\">\n",
"<path d=\"M16 0c-8.837 0-16 2.239-16 5v4c0 2.761 7.163 5 16 5s16-2.239 16-5v-4c0-2.761-7.163-5-16-5z\"></path>\n",
"<path d=\"M16 17c-8.837 0-16-2.239-16-5v6c0 2.761 7.163 5 16 5s16-2.239 16-5v-6c0 2.761-7.163 5-16 5z\"></path>\n",
"<path d=\"M16 26c-8.837 0-16-2.239-16-5v6c0 2.761 7.163 5 16 5s16-2.239 16-5v-6c0 2.761-7.163 5-16 5z\"></path>\n",
"</symbol>\n",
"<symbol id=\"icon-file-text2\" viewBox=\"0 0 32 32\">\n",
"<path d=\"M28.681 7.159c-0.694-0.947-1.662-2.053-2.724-3.116s-2.169-2.030-3.116-2.724c-1.612-1.182-2.393-1.319-2.841-1.319h-15.5c-1.378 0-2.5 1.121-2.5 2.5v27c0 1.378 1.122 2.5 2.5 2.5h23c1.378 0 2.5-1.122 2.5-2.5v-19.5c0-0.448-0.137-1.23-1.319-2.841zM24.543 5.457c0.959 0.959 1.712 1.825 2.268 2.543h-4.811v-4.811c0.718 0.556 1.584 1.309 2.543 2.268zM28 29.5c0 0.271-0.229 0.5-0.5 0.5h-23c-0.271 0-0.5-0.229-0.5-0.5v-27c0-0.271 0.229-0.5 0.5-0.5 0 0 15.499-0 15.5 0v7c0 0.552 0.448 1 1 1h7v19.5z\"></path>\n",
"<path d=\"M23 26h-14c-0.552 0-1-0.448-1-1s0.448-1 1-1h14c0.552 0 1 0.448 1 1s-0.448 1-1 1z\"></path>\n",
"<path d=\"M23 22h-14c-0.552 0-1-0.448-1-1s0.448-1 1-1h14c0.552 0 1 0.448 1 1s-0.448 1-1 1z\"></path>\n",
"<path d=\"M23 18h-14c-0.552 0-1-0.448-1-1s0.448-1 1-1h14c0.552 0 1 0.448 1 1s-0.448 1-1 1z\"></path>\n",
"</symbol>\n",
"</defs>\n",
"</svg>\n",
"<style>/* CSS stylesheet for displaying xarray objects in jupyterlab.\n",
" *\n",
" */\n",
"\n",
":root {\n",
" --xr-font-color0: var(--jp-content-font-color0, rgba(0, 0, 0, 1));\n",
" --xr-font-color2: var(--jp-content-font-color2, rgba(0, 0, 0, 0.54));\n",
" --xr-font-color3: var(--jp-content-font-color3, rgba(0, 0, 0, 0.38));\n",
" --xr-border-color: var(--jp-border-color2, #e0e0e0);\n",
" --xr-disabled-color: var(--jp-layout-color3, #bdbdbd);\n",
" --xr-background-color: var(--jp-layout-color0, white);\n",
" --xr-background-color-row-even: var(--jp-layout-color1, white);\n",
" --xr-background-color-row-odd: var(--jp-layout-color2, #eeeeee);\n",
"}\n",
"\n",
"html[theme=dark],\n",
"body.vscode-dark {\n",
" --xr-font-color0: rgba(255, 255, 255, 1);\n",
" --xr-font-color2: rgba(255, 255, 255, 0.54);\n",
" --xr-font-color3: rgba(255, 255, 255, 0.38);\n",
" --xr-border-color: #1F1F1F;\n",
" --xr-disabled-color: #515151;\n",
" --xr-background-color: #111111;\n",
" --xr-background-color-row-even: #111111;\n",
" --xr-background-color-row-odd: #313131;\n",
"}\n",
"\n",
".xr-wrap {\n",
" display: block;\n",
" min-width: 300px;\n",
" max-width: 700px;\n",
"}\n",
"\n",
".xr-text-repr-fallback {\n",
" /* fallback to plain text repr when CSS is not injected (untrusted notebook) */\n",
" display: none;\n",
"}\n",
"\n",
".xr-header {\n",
" padding-top: 6px;\n",
" padding-bottom: 6px;\n",
" margin-bottom: 4px;\n",
" border-bottom: solid 1px var(--xr-border-color);\n",
"}\n",
"\n",
".xr-header > div,\n",
".xr-header > ul {\n",
" display: inline;\n",
" margin-top: 0;\n",
" margin-bottom: 0;\n",
"}\n",
"\n",
".xr-obj-type,\n",
".xr-array-name {\n",
" margin-left: 2px;\n",
" margin-right: 10px;\n",
"}\n",
"\n",
".xr-obj-type {\n",
" color: var(--xr-font-color2);\n",
"}\n",
"\n",
".xr-sections {\n",
" padding-left: 0 !important;\n",
" display: grid;\n",
" grid-template-columns: 150px auto auto 1fr 20px 20px;\n",
"}\n",
"\n",
".xr-section-item {\n",
" display: contents;\n",
"}\n",
"\n",
".xr-section-item input {\n",
" display: none;\n",
"}\n",
"\n",
".xr-section-item input + label {\n",
" color: var(--xr-disabled-color);\n",
"}\n",
"\n",
".xr-section-item input:enabled + label {\n",
" cursor: pointer;\n",
" color: var(--xr-font-color2);\n",
"}\n",
"\n",
".xr-section-item input:enabled + label:hover {\n",
" color: var(--xr-font-color0);\n",
"}\n",
"\n",
".xr-section-summary {\n",
" grid-column: 1;\n",
" color: var(--xr-font-color2);\n",
" font-weight: 500;\n",
"}\n",
"\n",
".xr-section-summary > span {\n",
" display: inline-block;\n",
" padding-left: 0.5em;\n",
"}\n",
"\n",
".xr-section-summary-in:disabled + label {\n",
" color: var(--xr-font-color2);\n",
"}\n",
"\n",
".xr-section-summary-in + label:before {\n",
" display: inline-block;\n",
" content: '►';\n",
" font-size: 11px;\n",
" width: 15px;\n",
" text-align: center;\n",
"}\n",
"\n",
".xr-section-summary-in:disabled + label:before {\n",
" color: var(--xr-disabled-color);\n",
"}\n",
"\n",
".xr-section-summary-in:checked + label:before {\n",
" content: '▼';\n",
"}\n",
"\n",
".xr-section-summary-in:checked + label > span {\n",
" display: none;\n",
"}\n",
"\n",
".xr-section-summary,\n",
".xr-section-inline-details {\n",
" padding-top: 4px;\n",
" padding-bottom: 4px;\n",
"}\n",
"\n",
".xr-section-inline-details {\n",
" grid-column: 2 / -1;\n",
"}\n",
"\n",
".xr-section-details {\n",
" display: none;\n",
" grid-column: 1 / -1;\n",
" margin-bottom: 5px;\n",
"}\n",
"\n",
".xr-section-summary-in:checked ~ .xr-section-details {\n",
" display: contents;\n",
"}\n",
"\n",
".xr-array-wrap {\n",
" grid-column: 1 / -1;\n",
" display: grid;\n",
" grid-template-columns: 20px auto;\n",
"}\n",
"\n",
".xr-array-wrap > label {\n",
" grid-column: 1;\n",
" vertical-align: top;\n",
"}\n",
"\n",
".xr-preview {\n",
" color: var(--xr-font-color3);\n",
"}\n",
"\n",
".xr-array-preview,\n",
".xr-array-data {\n",
" padding: 0 5px !important;\n",
" grid-column: 2;\n",
"}\n",
"\n",
".xr-array-data,\n",
".xr-array-in:checked ~ .xr-array-preview {\n",
" display: none;\n",
"}\n",
"\n",
".xr-array-in:checked ~ .xr-array-data,\n",
".xr-array-preview {\n",
" display: inline-block;\n",
"}\n",
"\n",
".xr-dim-list {\n",
" display: inline-block !important;\n",
" list-style: none;\n",
" padding: 0 !important;\n",
" margin: 0;\n",
"}\n",
"\n",
".xr-dim-list li {\n",
" display: inline-block;\n",
" padding: 0;\n",
" margin: 0;\n",
"}\n",
"\n",
".xr-dim-list:before {\n",
" content: '(';\n",
"}\n",
"\n",
".xr-dim-list:after {\n",
" content: ')';\n",
"}\n",
"\n",
".xr-dim-list li:not(:last-child):after {\n",
" content: ',';\n",
" padding-right: 5px;\n",
"}\n",
"\n",
".xr-has-index {\n",
" font-weight: bold;\n",
"}\n",
"\n",
".xr-var-list,\n",
".xr-var-item {\n",
" display: contents;\n",
"}\n",
"\n",
".xr-var-item > div,\n",
".xr-var-item label,\n",
".xr-var-item > .xr-var-name span {\n",
" background-color: var(--xr-background-color-row-even);\n",
" margin-bottom: 0;\n",
"}\n",
"\n",
".xr-var-item > .xr-var-name:hover span {\n",
" padding-right: 5px;\n",
"}\n",
"\n",
".xr-var-list > li:nth-child(odd) > div,\n",
".xr-var-list > li:nth-child(odd) > label,\n",
".xr-var-list > li:nth-child(odd) > .xr-var-name span {\n",
" background-color: var(--xr-background-color-row-odd);\n",
"}\n",
"\n",
".xr-var-name {\n",
" grid-column: 1;\n",
"}\n",
"\n",
".xr-var-dims {\n",
" grid-column: 2;\n",
"}\n",
"\n",
".xr-var-dtype {\n",
" grid-column: 3;\n",
" text-align: right;\n",
" color: var(--xr-font-color2);\n",
"}\n",
"\n",
".xr-var-preview {\n",
" grid-column: 4;\n",
"}\n",
"\n",
".xr-var-name,\n",
".xr-var-dims,\n",
".xr-var-dtype,\n",
".xr-preview,\n",
".xr-attrs dt {\n",
" white-space: nowrap;\n",
" overflow: hidden;\n",
" text-overflow: ellipsis;\n",
" padding-right: 10px;\n",
"}\n",
"\n",
".xr-var-name:hover,\n",
".xr-var-dims:hover,\n",
".xr-var-dtype:hover,\n",
".xr-attrs dt:hover {\n",
" overflow: visible;\n",
" width: auto;\n",
" z-index: 1;\n",
"}\n",
"\n",
".xr-var-attrs,\n",
".xr-var-data {\n",
" display: none;\n",
" background-color: var(--xr-background-color) !important;\n",
" padding-bottom: 5px !important;\n",
"}\n",
"\n",
".xr-var-attrs-in:checked ~ .xr-var-attrs,\n",
".xr-var-data-in:checked ~ .xr-var-data {\n",
" display: block;\n",
"}\n",
"\n",
".xr-var-data > table {\n",
" float: right;\n",
"}\n",
"\n",
".xr-var-name span,\n",
".xr-var-data,\n",
".xr-attrs {\n",
" padding-left: 25px !important;\n",
"}\n",
"\n",
".xr-attrs,\n",
".xr-var-attrs,\n",
".xr-var-data {\n",
" grid-column: 1 / -1;\n",
"}\n",
"\n",
"dl.xr-attrs {\n",
" padding: 0;\n",
" margin: 0;\n",
" display: grid;\n",
" grid-template-columns: 125px auto;\n",
"}\n",
"\n",
".xr-attrs dt,\n",
".xr-attrs dd {\n",
" padding: 0;\n",
" margin: 0;\n",
" float: left;\n",
" padding-right: 10px;\n",
" width: auto;\n",
"}\n",
"\n",
".xr-attrs dt {\n",
" font-weight: normal;\n",
" grid-column: 1;\n",
"}\n",
"\n",
".xr-attrs dt:hover span {\n",
" display: inline-block;\n",
" background: var(--xr-background-color);\n",
" padding-right: 10px;\n",
"}\n",
"\n",
".xr-attrs dd {\n",
" grid-column: 2;\n",
" white-space: pre-wrap;\n",
" word-break: break-all;\n",
"}\n",
"\n",
".xr-icon-database,\n",
".xr-icon-file-text2 {\n",
" display: inline-block;\n",
" vertical-align: middle;\n",
" width: 1em;\n",
" height: 1.5em !important;\n",
" stroke-width: 0;\n",
" stroke: currentColor;\n",
" fill: currentColor;\n",
"}\n",
"</style><pre class='xr-text-repr-fallback'>&lt;xarray.DataArray (variable: 4, time_mid: 1000)&gt;\n",
"array([[ 4.73086502e+00, -1.08169192e+01, -7.28959763e+00, ...,\n",
" -5.52097116e+00, -1.06864931e+01, 4.16167141e+00],\n",
" [-0.00000000e+00, -4.73086502e-04, 6.08652730e-04, ...,\n",
" -5.04992713e-02, -4.99421242e-02, -4.88684807e-02],\n",
" [ 4.73086502e+00, -1.08173923e+01, -7.28898898e+00, ...,\n",
" -5.57147043e+00, -1.07364352e+01, 4.11280293e+00],\n",
" [ 4.73086502e+00, -1.08173923e+01, -7.28898898e+00, ...,\n",
" -5.57147043e+00, -1.07364352e+01, 4.11280293e+00]])\n",
"Coordinates:\n",
" * time_mid (time_mid) float64 5e-05 0.00015 0.00025 ... 0.09985 0.09995\n",
" * variable (variable) &lt;U14 &#x27;forcing&#x27; &#x27;damping&#x27; &#x27;total_tendency&#x27; &#x27;dTdt&#x27;</pre><div class='xr-wrap' hidden><div class='xr-header'><div class='xr-obj-type'>xarray.DataArray</div><div class='xr-array-name'></div><ul class='xr-dim-list'><li><span class='xr-has-index'>variable</span>: 4</li><li><span class='xr-has-index'>time_mid</span>: 1000</li></ul></div><ul class='xr-sections'><li class='xr-section-item'><div class='xr-array-wrap'><input id='section-3779310e-332d-4a11-91d8-b36071c68177' class='xr-array-in' type='checkbox' checked><label for='section-3779310e-332d-4a11-91d8-b36071c68177' title='Show/hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-array-preview xr-preview'><span>4.731 -10.82 -7.29 11.49 -14.91 ... 2.611 4.55 -5.571 -10.74 4.113</span></div><div class='xr-array-data'><pre>array([[ 4.73086502e+00, -1.08169192e+01, -7.28959763e+00, ...,\n",
" -5.52097116e+00, -1.06864931e+01, 4.16167141e+00],\n",
" [-0.00000000e+00, -4.73086502e-04, 6.08652730e-04, ...,\n",
" -5.04992713e-02, -4.99421242e-02, -4.88684807e-02],\n",
" [ 4.73086502e+00, -1.08173923e+01, -7.28898898e+00, ...,\n",
" -5.57147043e+00, -1.07364352e+01, 4.11280293e+00],\n",
" [ 4.73086502e+00, -1.08173923e+01, -7.28898898e+00, ...,\n",
" -5.57147043e+00, -1.07364352e+01, 4.11280293e+00]])</pre></div></div></li><li class='xr-section-item'><input id='section-10efacee-7038-4446-a68e-9ab25816cd89' class='xr-section-summary-in' type='checkbox' checked><label for='section-10efacee-7038-4446-a68e-9ab25816cd89' class='xr-section-summary' >Coordinates: <span>(2)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>time_mid</span></div><div class='xr-var-dims'>(time_mid)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>5e-05 0.00015 ... 0.09985 0.09995</div><input id='attrs-9ba0d2b9-ae6a-40a2-bd35-f1c1bb2970b3' class='xr-var-attrs-in' type='checkbox' ><label for='attrs-9ba0d2b9-ae6a-40a2-bd35-f1c1bb2970b3' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-67ebcc51-885b-4fb2-befc-4f7b956b7090' class='xr-var-data-in' type='checkbox'><label for='data-67ebcc51-885b-4fb2-befc-4f7b956b7090' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'><dt><span>axis :</span></dt><dd>T</dd></dl></div><div class='xr-var-data'><pre>array([5.000e-05, 1.500e-04, 2.500e-04, ..., 9.975e-02, 9.985e-02, 9.995e-02])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>variable</span></div><div class='xr-var-dims'>(variable)</div><div class='xr-var-dtype'>&lt;U14</div><div class='xr-var-preview xr-preview'>&#x27;forcing&#x27; &#x27;damping&#x27; ... &#x27;dTdt&#x27;</div><input id='attrs-a53813b4-d10e-4695-a66a-06008e881528' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-a53813b4-d10e-4695-a66a-06008e881528' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-757bd17b-b25c-4828-b658-a3ec80778859' class='xr-var-data-in' type='checkbox'><label for='data-757bd17b-b25c-4828-b658-a3ec80778859' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([&#x27;forcing&#x27;, &#x27;damping&#x27;, &#x27;total_tendency&#x27;, &#x27;dTdt&#x27;], dtype=&#x27;&lt;U14&#x27;)</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-359812bb-a042-4247-8030-e21cef3e3c3d' class='xr-section-summary-in' type='checkbox' disabled ><label for='section-359812bb-a042-4247-8030-e21cef3e3c3d' class='xr-section-summary' title='Expand/collapse section'>Attributes: <span>(0)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><dl class='xr-attrs'></dl></div></li></ul></div></div>"
],
"text/plain": [
"<xarray.DataArray (variable: 4, time_mid: 1000)>\n",
"array([[ 4.73086502e+00, -1.08169192e+01, -7.28959763e+00, ...,\n",
" -5.52097116e+00, -1.06864931e+01, 4.16167141e+00],\n",
" [-0.00000000e+00, -4.73086502e-04, 6.08652730e-04, ...,\n",
" -5.04992713e-02, -4.99421242e-02, -4.88684807e-02],\n",
" [ 4.73086502e+00, -1.08173923e+01, -7.28898898e+00, ...,\n",
" -5.57147043e+00, -1.07364352e+01, 4.11280293e+00],\n",
" [ 4.73086502e+00, -1.08173923e+01, -7.28898898e+00, ...,\n",
" -5.57147043e+00, -1.07364352e+01, 4.11280293e+00]])\n",
"Coordinates:\n",
" * time_mid (time_mid) float64 5e-05 0.00015 0.00025 ... 0.09985 0.09995\n",
" * variable (variable) <U14 'forcing' 'damping' 'total_tendency' 'dTdt'"
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"budget = ds0.drop(['temperature', 'time']).reset_coords(drop=True).sel(time_mid=slice(0, 0.1)).to_array()\n",
"budget"
]
},
{
"cell_type": "code",
"execution_count": 11,
"id": "13eb3eb2-0d9d-4ba7-bb81-42b48b7c1ac0",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7faf6f78e7f0>,\n",
" <matplotlib.lines.Line2D at 0x7faf6f78e820>,\n",
" <matplotlib.lines.Line2D at 0x7faf6f78e940>,\n",
" <matplotlib.lines.Line2D at 0x7faf6f78ea60>]"
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 864x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"budget.plot.line(x='time_mid', figsize=(12, 4))"
]
},
{
"cell_type": "markdown",
"id": "b22a6b7b-d083-43c2-8ccd-f36453e98fbd",
"metadata": {},
"source": [
"We note that, in this view, **the budget is totally dominated by the forcing**.\n",
"That's because this method emphasises the changes from timestep to timestep."
]
},
{
"cell_type": "markdown",
"id": "6131ef7f-6305-4e0a-ae92-5d888f6bb97d",
"metadata": {},
"source": [
"## Spectral Perspective\n",
"\n",
"We know the damping is crucial. Without it, the variance would grow without bound.\n",
"However, the raw budget doesn't reveal that. Damping looks completely unimportant in the budget timeseries.\n",
"\n",
"The variance budget gives us a different view on how the terms are acting at different scales.\n"
]
},
{
"cell_type": "markdown",
"id": "f4273e50-bf1f-4777-8784-ea282838aba4",
"metadata": {},
"source": [
"### Analytical Solution for the spectrum\n",
"\n",
"Starting from the form,\n",
"\n",
"$$\n",
"\\frac{\\partial T}{\\partial t} = - \\theta T + \\sigma \\eta(t) \n",
"$$\n",
"\n",
"we take the FT\n",
"\n",
"\\begin{align}\n",
"T &= \\hat T e^{i \\omega t} \\\\\n",
"\\eta &= \\hat \\eta e^{i \\omega t}\n",
"\\end{align}\n",
"\n",
"and obtain\n",
"\n",
"\n",
"$$\n",
"i \\omega \\hat T = - \\theta \\hat T + \\sigma \\hat \\eta \\ .\n",
"$$\n",
"\n",
"we multiply by $\\hat T^\\ast$ the complex conjugate of $\\hat T$ to obtain\n",
"\n",
"\n",
"$$\n",
"i \\omega \\hat T^\\ast \\hat T = - \\theta \\hat T^\\ast \\hat T + \\sigma \\hat T^\\ast \\hat \\eta \\ .\n",
"$$\n",
"\n",
"\n",
"Let's rearrange the equation to\n",
"\n",
"\n",
"$$\n",
"(\\theta + i \\omega)\\hat T^\\ast \\hat T = \\sigma \\hat T^\\ast \\hat \\eta \\ .\n",
"$$\n",
"\n",
"Now let's substitute the following for $\\hat T^\\ast$ in the final term (obtained from the original FT equation; do the algebra if you need to convince yourself):\n",
"\n",
"$$\n",
"\\hat T^\\ast = (\\theta + i \\omega) \\frac{\\sigma^2}{\\theta^2 + \\omega^2} \\hat \\eta^\\ast \\ .\n",
"$$\n",
"\n",
"We obtain:\n",
"\n",
"$$\n",
"\\hat T^\\ast \\hat T = \\frac{\\sigma^2}{\\theta^2 + \\omega^2} \\hat \\eta^\\ast \\hat \\eta\n",
"$$\n",
"\n",
"We can further simplify this by noting that $\\eta$ is a white noise process with unit variance, so it's power spectrum is by definition just $1$ at all frequencies:\n",
"\n",
"$$\n",
"\\hat T^\\ast \\hat T = \\frac{\\sigma^2}{\\theta^2 + \\omega^2}\n",
"$$\n",
"\n",
"This is an analytical prediction for the shape of the spectrum.\n"
]
},
{
"cell_type": "code",
"execution_count": 12,
"id": "903a3680-6c7c-48da-9074-c1c86eb97e33",
"metadata": {},
"outputs": [
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAZAAAAELCAYAAAD3HtBMAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjQuMywgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/MnkTPAAAACXBIWXMAAAsTAAALEwEAmpwYAAA09klEQVR4nO3dd3iTZffA8e/JaqGFsssoUjYiQwURAbVFEBAFlSHDhSAvKCgKamWPIrgVQWWJoCgiKBvhFd7+QAEZLmSoIKgVFVliGU3S3L8/WrCUtJTQJml6PteVK3nu+86Tcwjt6TNvMcaglFJKXSxLoANQSilVMGkBUUop5RMtIEoppXyiBUQppZRPtIAopZTyiRYQpZRSPrEFOgB/KVOmjImNjfXpvSdOnCAiIiJvAwoCoZhXKOYEoZlXKOYEoZfXtm3bDhljynrrKzQFJDY2lq1bt/r03qSkJOLi4vI2oCAQinmFYk4QmnmFYk4QenmJyM/Z9ekuLKWUUj7RAqKUUsonWkCUUkr5RAuIUkopnxTYAiIit4vIdBFZLCI3BzoepZQqbAJSQETkLRE5KCLfZWlvKyLfi8geEUnIaR3GmEXGmAeB+4G78jFcpZRSXgTqNN63gcnAnDMNImIFpgCtgWRgi4gsAazAhCzvf8AYczDj9fCM9+XMdQr+3OFTsBEp++HPnSCWTA/JeGRqI8ty5nEWO1jt6c+WArvhp5RSZwWkgBhj1olIbJbmJsAeY8xPACIyD+hojJkA3Jp1HSIiwERgpTHmywt+6F+74Y1mPsV7DYBvl5B4J5ZMBcX2b2GxOcBeFGzh6c/2ImAPJ81aBGuR4hAeBWEZz+FREFEWilWAYuUhLDIPA1RKqQsLpgsJKwG/ZlpOBq7NYfxAoBUQJSI1jDFvZh0gIn2BvgCVy5dmacyjPgXmcrqIDLcTZjWEWQxhVoPDYjL2/xnEeDKeDeDJeM687EFM2tmHxePOeO0+Z9nicWHxpMIpJ85jR3A5U/G4U7F7UiluOUUkJ7Hi8R6jtQipjpK4wkrhdJQiNaw0p4pU5EREZU4WrYzbfn6BSUlJISkpyad/k2AVijlBaOYVijlB6OblTTAVEPHSlu10icaYScCknFZojJkGTAMIq1DTDNxz9SUFmFVkmI3i4TaKhdspXiT9uVi4jeIZz2faI8NsWC3e0sscK/x4MIUNew7x9YFjuD0Gh9XC1VVKcGXlknzz6zE27z9MmOc0NaM8tKkWRoT7KCmHknEfO0Cx1ENUSjtGQ8dpol2/IIe/gLTUfz+gWAUoWxvKXg4xjeGy60j66seQumIWQu8q4DNCMa9QzAlCNy9vgqmAJAOVMy3HAAfyauU1ykYyb0ALn967ZetWatdryD+nXRw/5eb4aRf/nM70fCr9+eA/p9lz0M0/Ge1uz8VNF2wRqF8pigdvqEbz6mVoVKUkRRzWs/1HTjj5dNefrN7xB69sP4RVoqkVXZ3aVxSjVnQx3v3hL/7z4yFqlItkWOfalPcc5MRv3+E5uJuKrp8pm7Ifx6+zkS/eAKBpWFk4dCPEtoCaN0NUJZ/+fZRShVMwFZAtQE0RqQr8BnQDeuTVyos4rNSPifLpvYf3WGleo8xFvccYwylXGv+cdvPPaTcXmnveANHFw4kqYs92TKkIB10bV6Zr48qkutOwWyxYMm3Z9G5RlU93HSRx+U56zd6W0RpF+p7A9L2B0RFWprVz0NB8z/FtSwn/+XP4bkH60PL1oVZbqHMrVGiYfvBfKaWyEZACIiLvA3FAGRFJBkYZY2aKyABgFelnXr1ljPHttKkgICIUddgo6rARXTzv1x9ms57XJiK0rhvNDbXKsHrHn4TbrVQqUYTo4mH8duwUOw4c5+3P99N5SQovdu1IeJ06mOg62I/8QHOzjbC9/4X1L8K656FMbWjQBep3hZJV8j4BpVSBF6izsLpn074CWOHncEJOmM3KbQ0rntNWOjKMBjEluKV+BR6cs5VH3v+KMCukpqWfwBZuv5ye17ZlWNdoLLuXwLfzYW0irB0PtdpAk75QLV5PQVZKnRVMu7CUH0QVsTPngSa8sOp79uz/lT5tGhFut/DeF78w87N9FHVYGXxzL2jcC47+DF+9C9tmwbt3Quka6YXkqrvBETrzHSilfKMFpBAKt1sZfmtdkpIO0qJm+rGdRlVKYrdaeG3tHqqUjqBzoxgoWYVTLRJ47dSt3Bm2lRr73oOVT2L+7zlONOpPeLO+2Irkw/45pVSBoPsjFJB+/CTxjno0r1GapxZ+y393/sm+QyfoNm0jr69PptPnlUnuvJQ/Oi1i06kYIteP4/TzV8D6l9Kv8ldKFTpaQNRZdquFqfc0pl7F4vR/dxvxLyTxw58pjOlwBR6Podu0TXRabugvwxhVbhJb3NVhzRh4rRF8/T54vF/kqJQKTboLS50jMszG272aMHzRd9SKLkb3JpUpVzyc6mUjeW3tjxw76eLlu64k1Z3GPTPLMLnZSa7f9wpRi/rBptehzXioekOg01BK+YEWEHWekhEOpvQ896r9FjXLnD1eApDqTiPCYWXAhqIICQyusJ2HT81FZt8G9bvAzeOhWLS/Q1dK+ZHuwlI+CbNZuaV+BcoVC2Ngy1q88HtDutpf4+Pid2N2LobJ18Dm6eBJC3SoSql8olsgymfj76gPgN0qfLHvCF/sO8IWbmGSXMW75T+g0ooh8PV70HEKRNcNcLRKqbymWyDKZw6bBYfNgojw5t2NWPRwc9rVK88+U4Hr/3iUo21fh2O/wNQbYN0LkOYOdMhKqTykBUTliZIRDq6sXII37m7EZ0/FY7NYmZhcn8XNP+KbyBawdhzMbAUHdwc6VKVUHtECovJcTMmi9Gx6GR9s/ZVHlybT8eCDPOR8BOfh/TD1evjsZT02olQI0AKi8sWA+BrULBeJ3So837kBK01Tulhf5vhlreDT0TCnI/z9W6DDVEpdAj2IrvJF6cgwPhl0A0dOOClbLIy9f53gzf/bS4MjPZlzdVOa/zARyxvNkA6vQd0OgQ5XKeUD3QJR+cZqEcoWCwNgUKuafNjvOhpVKcW9X9bgphPjOGSvCPPvgaWPgvNEgKNVSl0sLSDKL8LtVq6JLcUrd10JwH5TgdbHh7Orem/MttkwLQ5+/yagMSqlLo4WEOVXlUsVZUNCSz4ZdD3HUqHdjpvo6Xwaz+njMKMVbJmRPkG8UiroaQFRflexRBHqlC/OiFvTLy7c4KnHt7ct51C5prB8MCzsA6kpAY5SKXUhWkBUwPRuUZX/eyIOgNtnfc81+/ryYtpdmB0fwfR4+HNnYANUSuVIC4gKqJiSRSkd4QDAYOE1V0dGRo3n6OGDuKfGp98mXikVlLSAqICyWoSNT9/Evgm30D+uOgDv/FGFm0+NZ6u7KizqB0sG6qRVSgUhLSAq4M7cT+uJm2sz4c70GzS2bNyAns6hzLLcCV/OgRmt4chPAY5UKZWZXkiogobFInRvchk31ipLxRJFuKZqKYZ8aKXVHR2J+d+jMC2OrY2ep2bzOyhR1BHocJUq9HQLRAWdiiWKAFCnfDEApv1eg+v/Hs3OkyVo9Nl/WPraIJ0+V6kgoAVEBa3KJYsC8M6mn0k25ejkHM0iT3PuOTUXPugJp/8OcIRKFW5aQFTQiipqJzLs372spwnjcVd/XrT1hh9Xw/SWHN6nV68rFShaQFRQs1sFgHuvq5LRIsxytYF7l+A8cZTwt1uzffVsDqWkcsqpt4hXyp+0gKigdvSkC4Dbr6rE7nFt6R9XnZRUN7FvHiOhzBR+MJWpv+ERPpzYm0fe2xLgaJUqXLSAqKDWu0VVABrGlCDcbqVptdJn+z7a4+Eu5wj+r9it9Lct5Z69Q7C5jgcqVKUKHS0gKqgNb385PyS2w2pJ35V1fY0y9Lux+tl+J3bu+6sHT7oe5FrLLhpvHax39VXKT7SAqKAmIjhs//43tViEhHZ1WNj/unPGzU+Lp6tzJM60NJjZBr5b6O9QlSp0tICoAqlRlVJ8ntCSPePbnW37xtSgZUoip8rUgwUPsGbyw2zb91cAo1QqtGkBUQVWpRJFsFnP/S98iCga7B/IR9KKmw69yz+zuuj1IkrlEy0gqsD735A4wu3//ld2YePxU70Y7upFc/kWpt8Eh34MYIRKhSYtIKrAq1omgk8evYHbr6yYqVV4N601PZ1D8Zw8gpkWDz+sDliMSoWiAl1ARCRCRLaJyK2BjkUFVmyZCF7pdhU9Lz/3JoubzeVcf3QkO0+XwrzXlT+WT9Apc5XKIwEpICLylogcFJHvsrS3FZHvRWSPiCTkYlVPAfPzJ0pVELWuYmfGvY15vnMDtg5vBcBvlKWzcxTL066l/JaJsLA3OE8GOFKlCr5A3c79bWAyMOdMg4hYgSlAayAZ2CIiSwArMCHL+x8AGgA7gXA/xKsKkFZ1o8++jipi5+9TLk4RzgDXQHZ6qjDku/kk//ANxzq8TYN69QMYqVIFm5gAbc6LSCywzBhTL2P5OmC0MaZNxvLTAMaYrMXjzPvHAxFAXeAUcIcxxpNlTF+gL0B0dHSjefPm+RRrSkoKkZGRPr03mIViXllz2nDAzd5jaXgM/O9XNwDxlq941T4ZJ3Z+vSqBv0tcEahwc60wfFehItTyio+P32aMaeytL5gKSGegrTGmT8byPcC1xpgBF1jP/cAhY8yynMY1btzYbN261adYk5KSiIuL8+m9wSwU88oup65TN7J535Gzy9XlN6bZXyLWcpCVlR+nSZchlCsevBuzhem7KuhCLS8RybaABNNBdPHSdsHqZox5+0LFQ6l29cqfs7zXVOIO51jWpdXj1l+f57/P9QC3M0DRKVUwBVMBSQYqZ1qOAQ4EKBYVYu5vFstb9zfmpjrlzrYdJ4Lerid43d2BnrY17HmxJX/98UsAo1SqYAmmArIFqCkiVUXEAXQDlgQ4JhUiRISWdaKZdm9j2lzx70F2Dxaec3fjEecAKp38HtcbN8KBrwIYqVIFR6BO430f2AjUFpFkEeltjHEDA4BVwC5gvjFmRyDiU6HLahFGd7iCJ9vW5j83VDvbvsTTjM7OURiE1GltMNv1ZoxKXUhATuM1xnTPpn0FsMLP4ahCpkJUER6KqwFAj2sv48bnkwDYYarSMTWRNxwvc83CBzAHdyLxw8ASTBvqSgUP/clQhVqV0hF89FCzs8uHiKKncxjz3HHI+hdIm9cTUv8JYIRKBS8tIKrQu/qykucsO7GT4H6QUa77MD98QtqM1nB0f2CCUyqIaQFRClj92A1MvadRphZhdlob7nM+xcm/fsEzLZ6jO9cELD6lgpEWEKWAWtHFaHNFed7p3eSc9s899bktdSw/nQgn8oMusGVGgCJUKvhoAVEqk+trlmX/xPYsfrj52bb9pgJ3OMey3lMflg/Gs/QxSHMFMEqlgoMWEKW8aFi5BNHFw84u/0NR+riG8Kb7Nizb3mLPi63gxOEARqhU4GkBUSobT7Wtc86yBwsT3d0Z5HyIyid2cPCl61j56acBik6pwNMColQ27rw65uycIpkt8rSgq3MExp3KDet7wC69FZsqnLSAKJWDMpFhbBveio1PtzynmHxjatAhNZEfTSX4oCd/LhunMx2qQkcLiFIXUDoyjApRRSgTGcb4O+qdbf+TUtzlHMnHac2J3voCv8/soTMdqkJFC4hSF6HntVWY/5/rzi6n4uAx10NMcHUn+teVbE+8jvdWb+DICb01vAp9WkCUukixpYtmaRGmpt1GH9dgYuVPWn/ejTfmzGXr/iNe369UqNACotRFKlc8nGUDW/DZU/HYLP/Og7bWczV3OMdwwoQz5I8hzJs+kd1/HA9gpErlLy0gSvmgXqUoYkoWZc8zt5zTvsfE0NE5ji2e2rxgn8rxj5+g05R1PPbB14EJVKl8pAVEqUv0RJva5yz/TST3uRKY5W5Dkz/n8egfQ1nz1fcBik6p/KMFRKlLZLycvpuGlTHu+3jK9SBNLTv52DEK959aRFRo0QKi1CVqXbc8APdeV4Ua5SLP6fsgLZ6ezmFEyQlOvh7H4g9n407zBCJMpfJcQGYkVCqU1C5fjP0T259d3vX7cdq9uv7s8hZTh46p45jueIlbv3uUCV9/QZ8nXqR8iSKBCFepPKNbIErlscsrFGf1Yzec0/YbZenkHMUqzzUMt8/lsxe7gus0q3f8QbtX15Pm0avYVcGjBUSpfFArutg5U+UCnCKch12P8LKrE52t6zg05WaGvfMpu34/zt+n9PbwquDRAqJUPrmqcgkAqpeNONtmsPBqWif6OQdR9OhuloSNoL78xIFjp9h5QK8ZUQWLFhCl8omIsHnYTax49Hq6XVP5nL5PPE3o5BxNGhY+dIxh6pTnuGXS+mzWpFRw0gKiVD4qVyycMJuVCXfWZ9nAFuf07TJV6Jg6jm9MdV5zTGaI7QPw6BlaquDQAqKUH4gI9SpF8cXQm85pP0wUdzuH8p47ngG2xeyb0hFzWndlqYJBC4hSfhRdPJxFDzdnUKuaZ9tc2Bjq7sNI131UPvQZf71yIxzZF8AolcodLSBK+dmVlUswqFWtLK3CnLQ23OtKwHHqT46+2oLEyW/i0dN7VRDTAqJUgNzfLPa8tg2eenRwJvKXiSLhr6cZOeIxvk0+5vfYlMoNLSBKBcjoDleccwX7Gb+YaO50jiHJ05BE+yy+ffMBxKPXiajgk6sCIiK1RGSNiHyXsdxARIbnb2hKFR6XlTp3kqoUitLXNZjX3R2427aG8KQRvLF8E+9u+jlAESp1vtxugUwHngZcAMaYb4Fu+RWUUoXJzrFt+O/jN5y3NeLBwnPubjzifJiGsodbv7ibdxevCFCUSp0vtwWkqDFmc5Y2d14Ho1RhVNRhI8xmzbZ/iac5XZ0jsYubhY5RbF45m7/+SfVjhEp5l9sCckhEqgMGQEQ6A7/nW1RKFVJJQ+K8tn9rqnNbaiI/mMo0+eIR5kx8CJc7zb/BKZVFbgvIw8BUoI6I/AYMAvrnV1BKFVaxZSK8HlgH+IuSdHMOZ2FaCwbbF7BqTDsenLFOT/VVAZOrAmKM+ckY0wooC9QxxrQwxuzP18iUKsT2TbjFa3sqDga7+vOMqzu3WDbz6C8DaT70HQ6l6C4t5X+5mlBKREoA9wKxgE1EADDGPJJfgeUiJgswDigObDXGzA5ULErlNRFh49MtWf/DIVpeXo6Fqz9jwubTZ3qZlnYbP5gYJtknsyRsOH3HH+a1p/pRSSepUn6U211YK0gvHtuBbZkePhGRt0Tk4JnTgjO1txWR70Vkj4gkXGA1HYFKpJ8ZluxrLEoFqwpRReh6TWXKRIZRu9T5B9mTPFdxh3MsKSac9x2JvPz8KEYs+s7rHO1K5YfcFpBwY8zjxphZxpjZZx6X8LlvA20zN4iIFZgCtAPqAt1FpK6I1BeRZVke5YDawEZjzOPo8RhVCHwy6HoeuanmOW17TSVud45js6cOL9inUmVrIv+3S89vUf4huflrRUQeA1KAZcDZna3GmCM+f7BILLDMGFMvY/k6YLQxpk3G8tMZnzEhm/ffDTiNMfNF5ANjzF1exvQF+gJER0c3mjdvnk+xpqSkEBkZ6dN7g1ko5hWKOcG5ef14NI3xX5w+p99KGsNt79LLtor/S2vA+qqDqRFdnPIRwXuzicLwXYWC+Pj4bcaYxt76cnUMBHACzwPDyDiVN+O52qWHd1Yl4NdMy8nAtTmM/wh4TUSuB9Z5G2CMmQZMA2jcuLGJi4vzKbCkpCR8fW8wC8W8QjEnODevOCA16kdeWP3D2f40rIxx38f3pjJjbbOI2Z9Anx+H8L8Jffj7pIuoovaAxJ2TwvBdhbrcFpDHgRrGmEP5GIt4act288gYcxLonX/hKBW8BrSsSf+4Gjwy7yuWf/vvLqt5aS3Z66nIm46XWewYwZQZaTy/J4a5fa6leY0yAYxYhaLcbt/uAE7mZyCkb3FknvczBjiQz5+pVIFltQgvdmlIqQjHOe1bTB06pCbymylDv1+ford1BT1nbOK0Sy88VHkrtwUkDfhaRKaKyKQzjzyOZQtQU0SqioiD9HttLcnjz1AqpITbrXw5ojUNK5c4p/03ytLJOZr/ehozwv4uz9mm8fzyb/noy2Q9S0vlmdwWkEXAeGADeXMa7/vARqC2iCSLSG9jjBsYAKwCdgHzjTE7fP0MpQqTD/o2Pa/tJOH0dz3Kq+476Wr7P9p92Zdn5q9jw97DujWi8kSujoHk9UV6xpju2bSvIP2aE6XURQi3e78Zo8HCy+7OfO+J4UX7mywOG07fmUfZYWJZ/2Q8lbPcRl6pi5HjFoiIzM943i4i32Z9+CdEpVRuzO1zLfc0reK1b4WnKZ2dowFY4BjNLZZNLN+u14uoS3OhLZBHM55vze9AlFKXpnmNMjSvUYb2DSpQv1IUV4xadU7/DhNLx9RE3nS8zOuOSbz632Tm2Edwb7O8PBtfFSY5boEYY878ifKQMebnzA/gofwPTyl1sZpWK01EmPe/DQ8RRQ/nMOa7b+RR20eUXdmXJqMX40rz+DlKFQpyexC9tZe2dnkZiFIqb216+iYW9m/GA82rntPuxM6T7r6Mdd3DzZatzPYMJ374HO59K+uccUrl7ELHQPqLyHbSz5bKfPxjH6DHQJQKYuWjwmlUpSQjb6vrpVd4K60dvVxPUkkOsdgxnFM/rmfq/+31e5yq4LrQFsh7wG2kX49xW6ZHI2PM3WcGiUjJfItQKXXJXrnrSq/t6zwN6egcxzETyVzHeH5a/QYTVu7yb3CqwLrQMZC/jTH7jTHdsxwDyXoTxTX5GKNS6hLdflWlbGc63GcqcIdzLBs9V/CsfTrlPx/F4+9v0QsO1QXl1a06vd3HSikVZJpULeW1/TgRPOB6gunuW+hlW8UdOwdx5dPzST56kgPHTvk5SlVQ5FUB0T9VlCoA3undhGUDW3jtS8PKePfdDHH9hyaW3SxyjOC+596l2cS1bN7n88wNKoQF72QBSqk8F2azUq9SFPsm3MLQW+p4HbMg7Ua6O4cTKadZ5BhJnOUruk7d6OdIVUGgu7CUKoREhL43VKd88XCv/V+aWnRITeRnE81b9hfoa13Kkq9/83OUKtjlqoCISKmcHsBN+RynUioffJ7Qkh1j2lCtTMR5fb9Tms7OUazwXMtQ+/u4FvaldsLHpHl0j7VKl9sJpb4kfa6Oo6RvbZQAfsnoM8YYvReCUgWQ1SJEhNlYOySOFs+uJfnouQfMTxPGANdAdnsqM8T+IdXld5oOPcH9bZrycHyNAEWtgkVud2F9AtxmjCljjClN+r2xPjLGVNXioVRo+Oypltn0CJPT7uA/zseoKcksDRvOJ6tX+jU2FZxyW0CuybjVOgDGmJXAjfkTklIqUBb2b5Zt3yrPNXRyjsGNlQ8dY3hk6DDGLdvJiVS3HyNUwSS3BeSQiAwXkVgRqSIiw4DD+RmYUsr/GlUpyfon49mQ0JIZ9zY+r3+3uYwOqYl8Y6ozyTGZkpsmUm/USl759IcARKsCLbcFpDtQFvg441E2o00pFWIqlypKxRJFaFU3mrsaVz6v/wjFuds5lPfcLRlgW8w0+0tM//Rb5mzcz8F/TgcgYhUouSogxpgjxphHgeuNMVcbYwZ5uZ2JUirEPNu5AcPbX35euwsbQ929Gem6j3jL13zkGMX0JWtpMl7valSY5PY03mYishPYmbHcUERez9fIlFJBoc/11dj7zC1eeoQ5aW2415VAtBxlsWMETS07SVy2U29/UkjkdhfWy0AbMo57GGO+AW7Ir6CUUsHFahHWDvZ+3swGTz06Osdx2ETxjn0CpzdOo9nEtSzWCw9DXq6vRDfG/JqlKS2PY1FKBbFqZSOz7fvZlOdO5xjWeRqQaJ9Fom0mg+dtJWGhThsUynJbQH4VkWaAERGHiAwBdNIApQqZ/RPbs3tcW699/1CUB12DedN9G3fb1vCOfSKrtuzQGzGGsNwWkH7Aw0AlIBm4MmNZKVXIhNutdG9ymdc+DxYmurszyPkQV1t+ZLFjBMOnzaf+qFXM+nyfnyNV+e2CBURErMArxpiexphoY0w5Y8zdxhi9DkSpQmrCnfWznVsEYJGnBXc5RxAmLj5yjOJa1xeMWbqT0y7d8x1KLlhAjDFpQFkRcfghHqVUAZF4ez0Arr6shNf+r00NOqQmstdUZJr9JR6yLqLOiJVs2HOIP/7W60VCQW5vprgf+FxElgAnzjQaY17Kj6CUUsGvVnQxdo1ti90q1Bjm/d5Yf1KKrs6RPGufxpP2+dS2JNNrhguPNYzprYv6OWKV13LcAhGRdzJe3gUsyxhfLNNDKVWIFXFYsVktJA2Jy3ZMKg4GuR7mWVc3brNs5EPHGEqlHWb0Br1WpKC70BZIIxGpQvqt21/zQzxKqQIotkwE+ye2J/noSVo8+z8vI4Q30jrwg6nEq/YpLA0bTt9/HmfM0su4tUFFGlUp6feY1aW70DGQN0m/lXstYGumx7aMZ6WUOiumZFGm9Lg62/41nkbc4RzLKePgA8c4jm18h05vbMDp9vgxSpVXciwgxphJxpjLgVnGmGqZHjoPiFLKq/YNKrBjTBte7NLQa/+PJoaOznFs89TkZccbJNjeo87w5azd/aefI1WXKrc3U+yf34EopUJHRJiNTo1i2DzM+2zXxyjGva4E5rhb08+2jBn2F3j07XXEJixn1+/H/Ryt8lWub2WilFIXq1yxcDo0rOi1z42Nke5eDHM9wPWW7XzsGEms/E67V9fTd85WXGm6WyvYaQFRSuWr0R2u4Oa60dn2z01rxT2upyklx1nkGElzy3ZW7/yTmsNW6oWHQU4LiFIqX5WKcDDt3sa82KUh1cpGeB2zyVOXDs5E/jClmG1/lvutnwCGOiM+8W+w6qIU2AIiIpeJyBIReUtEEgIdj1IqZ50axbB2cNzZK9izSjbl6OQczVrPVYy2z2GCbQZ23PR7Zxurd/zh52hVbgSkgGT80j8oIt9laW8rIt+LyJ5cFIVawHJjzANA3XwLVimVp+5uWoVPBl3vte8ERfiP6zFec99Od9v/mOsYz5Yd39P3nW1+jlLlRqC2QN4GzrkndMZNG6cA7UgvCN1FpK6I1BeRZVke5YCvgG4ishbwduWSUipI1SlfnJfjinjtM1h40d2Vgc4BNJCfWBw2gsvlZ2ITlvPS6u/xeIyfo1XZEWMC82WISCywzBhTL2P5OmC0MaZNxvLTAMaYCdm8fwiw2RizTkQWGGM6exnTF+gLEB0d3WjevHk+xZqSkkJkZPaT6RRUoZhXKOYEoZlXSkoKk3da2X0k+7Ot6slPTHe8RBQneMzVn1WeJgC8FFeEUuHBuQc+1L6r+Pj4bcaYxt76gqmAdAbaGmP6ZCzfA1xrjBmQzfvrAaOBQ0CKMWZITp/XuHFjs3WrbxfPJyUlERcX59N7g1ko5hWKOUFo5pU5p1c+/YFXPv3R67iyHGWa42WusuzhJVdnJqXdAQj7J7b3X7AXIdS+KxHJtoAEUwkXL23ZVjdjzHfGmM7GmH4XKh5KqeDWq1nVbPv+oiTdnMNZmHY9j9sXMNk+iSKc5p6ZX/gxQuVNMBWQZKBypuUY4ECAYlFK+VFUUTv7J7bnyxGtvfan4mCwqx/jXT24xbKZBY4x7P1xN7EJy/0cqcosmArIFqCmiFTNmLyqG7AkwDEppfyoVERO89YJ09Nu5QHXECrLQRaHDaeRfE9swnJWbv+dND247neBOo33fWAjUFtEkkWktzHGDQwAVgG7gPnGmB2BiE8pFTjz+jbNsT/JcxV3OMeSYorwviORLtYk+s/9kmnrfvJPgOqsgBQQY0x3Y0wFY4zdGBNjjJmZ0b7CGFPLGFPdGDM+ELEppQKrabXS7J/YnvVPxmc7Zq+pREfnOL7wXM7z9mkMt73DC5/s0F1afhZMu7CUUuqsyqWK5nim1XEiud/1FLPcbehjW8ks+3MUJ4XYhOV6rYifaAFRSgW1/RPb83pP75NUpWFljPs+nnI9SFPLTj52jKKaHKDa0BVs+umwnyMtfLSAKKWC3i31K7Bvwi3Z9n+QFk8P5zCi5ASLHCO5wfIN3aZt4ptfj/kvyEJIC4hSqkAQEawWb5eLpdtq6tAxdRzJpiyz7M/R27qcjlM+0+Mi+UgLiFKqwPgxsR1LBjTPtv83ytLZOYrVnsaMsM/ledtUHLiITVjOQ3P1hox5TQuIUqrAsFiEBjEl2DW2bbZjThLOQ65HecV9J11s63jfkUhZjrFi+x/M2/wLbp3pMM9oAVFKFThFHFY+ffzGbPsNFl5xd6a/81Eul19YHDacK2QfCR9tp8awlfx5/LQfow1dWkCUUgVSjXKRTO5xFe3rV8h2zErPtXR2jsIgLHCMob1lEwDXPrPGX2GGNC0gSqkC69YGFZnS82oGtqyR7ZidJpaOqYnsMLFMcUzicdt8BI9eL5IHtIAopQq8wTfXzvGiw0NE0cM5jA/ccTxiW8Qb9lcpymmqDV3B4/O/9l+gIUYLiFIqZORURJzYecr9IGNc99DaspWFjlHEyF989OVvvJG0l0DNjVSQaQFRSoWU3ePaEl+7bDa9wqy0dtzveoqKcpjFjuE0kV08+8luqj69gvlbfvVrrAWdFhClVEgJt1uZ1asJU3p4v/0JwHpPA253juOYiWSu4xm6W9MPqj+58FvdErkIWkCUUiGpfYMK2HK4cn2fqcAdzrF87qnHBPtMRtvexoabGev3+THKgk0LiFIqZC0e0JxrYktm23+cCB5wPcE0d3vut61mtv1ZJq/YQmzCcsYu3cmGvYf8GG3BowVEKRWyrqgYxYf9muV4cN2DhWfcPRns7Edjy/csdoyghiTz1uf76DFd513PiRYQpVShsO6J7CeoAljouYHuzuFEyGk+doyipeVLADpO/swf4RVIWkCUUoXCZaWL8tWI1nRpFJPtmC9NLTqkJrLfRDPD/iL9rEv4JvkYsQnLOai3PzmPFhClVKFRMsLBuNvr5Tjmd0rTxTmKFZ5rSbDP4yX7G4ThpMkza1iz608/RVowaAFRShUq4XYru8dlfzdfgNOEMcA1kOddXbnT+hkfOMZRjqP0nr2VVz/90U+RBj8tIEqpQifcbmX/xPZsG94qh1HClLTb6et8jJqSzJKw4TSQvbz86Q/EJixnxvqf/BZvsNICopQqtEoWdVAxKjzHMas919DJOQY3Vj50jKWD5XMAEpfv4qX//uCPMIOWFhClVKFlsQgbnr6J/RPbU7549oVkt7mMDqmJfG2qM8kxhSdt8xA8TFrzI/VGrWL+ll85lJLqx8iDgxYQpZQCNg29iZe6Nsy2/wjFuds5lLnum3jItoRp9peI5CQpqW6eXPgtvWZt8WO0wUELiFJKZbjz6hhaXR6dbb8LG8PcDzDCdT/xlq/5yDGKyyT9zKztv/1d6GY61AKilFKZTO5x1QUuOhTeSbuZe10JlJNjLHaM4DrLDiB9psM5O1MLzbzrWkCUUiqTcLuVy0oX5blODXIct8FTjw7ORP4yUbxjn8Dd1v8CsPYXNzWGrfRHqAGnBUQppbzo0jiG2Q80yfGakV9MNHc6x5DkaUiifRaJtpnYcQMwfNF2/vj7NKnuNH+F7HdaQJRSygsR4cZaZQm3W+ne5LJsx6VQlL6uwbzhvo27bWt4xzGBkhzn3U2/0HTCGmoP/8SPUfuXFhCllLqACXfWz7Hfg4Vn3d151PkQV8keljhGUFt+Odu/ce9h0jyGldt/D6kJq7SAKKVULuwc24ZiYbYcxyz2tKCrcwQOcbHQMZrWlq0AdJ++iepDV9B/7pd8/NVv/gjXL7SAKKVULhR12Ng+pg1JQ+JyHPeNqcFtqePZYyoy3fESD1sXAf9udTyzYle+xulPWkCUUuoixJaJ4IuhN+U45iAlucs5kkVpzXjCPp/X7K8RTvqV6odSnLR7db0/Qs13WkCUUuoiRRcP57On4pn/n+sY1/EKr2NScTDI9TATXd1ob/mC+Y6xlOcwALt+Px4Sc4wUiAIiItVEZKaILMjUFiEis0Vkuoj0DGR8SqnCJ6ZkUZpULcU918XmMEp4M60DfVyDqSp/sDRsOFfJv7eDb/LMGg4cO5XvseaXfC8gIvKWiBwUke+ytLcVke9FZI+IJOS0DmPMT8aY3lma7wQWGGMeBDrkcdhKKZVrW4a14sUu2d9Ha63nau50juGkCWOeYxydLOvO9jWbuLbATlTljy2Qt4FzrsQRESswBWgH1AW6i0hdEakvIsuyPMpls94Y4NeM16F7pY5SKuiVLRZGpxymygX40cTQ0TmObZ5avOh4k6G2uVhIv+VJ79lbWbn9d3+EmqfEH+cki0gssMwYUy9j+TpgtDGmTcby0wDGmAkXWM8CY0znjNf3AEeNMctEZJ4xppuX8X2BvgDR0dGN5s2b51P8KSkpREZG+vTeYBaKeYViThCaeYViTn+c8LDzz5PM+UGyHWPDzQjbO9xn+y9JaQ0Z6BrIPxQ92z/wqjAaRed8urA/xcfHbzPGNPbWF6gC0hloa4zpk7F8D3CtMWZANu8vDYwHWgMzjDETRCQCmAycBj4zxszNKYbGjRubrVu3+hR/UlIScXFxPr03mIViXqGYE4RmXqGYE/ybV2zC8hzH9bCuYYztbX4x5ejtGsJ+U+Fs36xe1xBfO7udL/4lItkWkEAdRPdWnrOtZMaYw8aYfsaY6me2UowxJ4wxvYwx/S9UPJRSyt++Htk6x/730m7ibudQSso/LHaMoIVl+9m+XrO2EJuwnCXfHOCk053fofosUAUkGaicaTkGOBCgWJRSKs+VKOpg/8T2OY75wlxOB2ciB0xpZtsn0su6ksx/Sz/y/lfUHbkqnyP1XaAKyBagpohUFREH0A1YEqBYlFIq3+wY04Y3el6dbX+yKUdn52jWeK5mlP0dJtqm48B1zpjYhOVs2HsIV5DNM+KP03jfBzYCtUUkWUR6G2PcwABgFbALmG+M2ZHfsSillL9FhNloV78CGxJaZjvmBEX4j+sxXnPfTjdbEnMd4ynN3+eM6TH9C2oOW8nmfUeC5oaM+V5AjDHdjTEVjDF2Y0yMMWZmRvsKY0ytjOMa4/M7DqWUCqSKJYqw4pHrs+03WHjR3ZUBzoHUk/0sDhtBXdl/3riuUzcS/0JS/gV6EQrElehKKRUK6lYszox7G9O8RulsxyzzXEcX50gseFjgGENby+bzxuw/fJLYhOXUGbGS2ITlFzzjK79oAVFKKT9qVTeauX2a5jjmO1ONjqmJ7DaVedPxCoNsCxDOP/5x2vVv2+Z9RwDwePy3eyt4rlZRSqlCZPPQm2jyzJps+/+iBN2dw3nGPpNBto+oJckMdvXjFOFex3eduvGc5VaXl2NIm9q43Iaa0ZGE2615Gj/oFohSSgVEueLhTOlxNRaBepWKex2TioPBrn6Mc/WkjWULCx1jqMRfuVr/p7sO0vaV9dw2+TP6v7stL0M/S7dAlFIqQNo3qED7Bv9eK1Jv1CpSUrNeOCjMTGvPXlOJSfbXWBw2gn7OQWw1dXL9Of/7PndF52LpFohSSgWJtYNvzLYvyXMldzjHctwU5T3HeLpa/+fHyLzTAqKUUkGiXPFw9k24Jdv+vaYStzvHsslTl+fs0xlpm4M1gDcj1wKilFJBRET4emRrvk9s67X/OJH0cj3JTHc7HrB9wiz7cxQnxc9RptMCopRSQaZEUQdhNivfjWnjtT8NK+Pc9/CEqy9NLTtZ7BhBdfnNz1FqAVFKqaAVGWZj/8T2PNXW+wHzD9Pi6OEcRjE5xceOkcRZvvZrfFpAlFIqyPWPq87nCS3p4mXWw62mDh1SE0k25Zhpf54+1uXkMDtGntICopRSBUClEkV4vktDr7eIP0AZOjlHscpzDcPtc3nBPpUwnPkekxYQpZQqYPZPbM/w9pczsGWNs22nCOdh1yO87OpEZ+s63nckUpaj+RqHFhCllCqA+lxfjcE31+aDvk0Jt6f/KjdYeDWtE/2cg6gjv7IkbAT15Kd8i0ELiFJKFWDXVivN7nHtWDqgBWWLhdHz2stYZZrQ2TmKNCwscIzhNsuGfPlsvZWJUkqFgPoxUWwZ1gqA8XfUT29M6cqW526hQ2z+XGyoBUQppUJVZFmuGbUBLPnzq14LiFJKhTKrPd9WrcdAlFJK+UQLiFJKKZ9oAVFKKeUTLSBKKaV8ogVEKaWUT7SAKKWU8okWEKWUUj4RY/xz299AE5G/gJ8zNUUBf+fydRng0CWGkHm9vozx1pe1LaflM68zt11qXsGSU+bX/sgpp3G5bc8uj8zL+l35Hm9uxuUmp6xtuXkdKt/VmecqxpiyXj/JGFMoH8C03L4Gtubl5/kyxltf1racljPlkrntkvIKlpzy8rvKTU45jctte3Z56HcV2O/qQm25fB0S31Vu4ijMu7CWXuTrvPw8X8Z468valtPy0mzGXIpgySm3seRGbteT3bjctucUu35XuZMf39WF2vR3RSaFZhfWpRCRrcaYxoGOI6+FYl6hmBOEZl6hmBOEbl7eFOYtkIsxLdAB5JNQzCsUc4LQzCsUc4LQzes8ugWilFLKJ7oFopRSyidaQJRSSvlEC4hSSimfaAG5RCJyu4hMF5HFInJzoOPJKyJSTURmisiCQMdyKUQkQkRmZ3xHPQMdT14Ile8mq1D8WRKRy0XkTRFZICL9Ax1PXivUBURE3hKRgyLyXZb2tiLyvYjsEZGEnNZhjFlkjHkQuB+4Kx/DzbU8yusnY0zv/I3UNxeZ353AgozvqIPfg82li8kpmL+brC4yr6D7WfLmInPaZYzpB3QFQu/U3ku5YrKgP4AbgKuB7zK1WYG9QDXAAXwD1AXqA8uyPMplet+LwNWBzikf8loQ6HwuMb+ngSszxrwX6NjzIqdg/m7yKK+g+VnKi5xI/8NlA9Aj0LHn9aNQz4lujFknIrFZmpsAe4wxPwGIyDygozFmAnBr1nWIiAATgZXGmC/zOeRcyYu8gtnF5AckAzHA1wTxFvdF5rTTz+H57GLyEpFdBNnPkjcX+10ZY5YAS0RkOfCeX4PNZ0H7AxVAlYBfMy0nZ7RlZyDQCugsIv3yM7BLdFF5iUhpEXkTuEpEns7v4PJAdvl9BHQSkTfI29tN+IPXnArgd5NVdt9VQflZ8ia77ypORCaJyFRgRWBCyz+FegskG+KlLdurLY0xk4BJ+RdOnrnYvA4DBemH2Gt+xpgTQC9/B5NHssupoH03WWWXV0H5WfImu5ySgCT/huI/ugVyvmSgcqblGOBAgGLJS6Ga1xmhmF8o5gShmVco5nRBWkDOtwWoKSJVRcQBdAOWBDimvBCqeZ0RivmFYk4QmnmFYk4XVKgLiIi8D2wEaotIsoj0Nsa4gQHAKmAXMN8YsyOQcV6sUM3rjFDMLxRzgtDMKxRz8pXeTFEppZRPCvUWiFJKKd9pAVFKKeUTLSBKKaV8ogVEKaWUT7SAKKWU8okWEKWUUj7RAqKUUsonWkCUyiUReUREdonI3HxYdwkReSjTcsVQmzBKhR69kFCpXBKR3UA7Y8y+TG22jKuQL3XdscAyY0y9S12XUv6iWyBK5ULG7dOrkT6vw98iMk1EVgNzRKSsiCwUkS0Zj+YZ7yktIqtF5CsRmSoiP4tImWw+YiJQXUS+FpHnRST2zIx3InK/iCwSkaUisk9EBojI4xnr3SQipTLGVReRT0Rkm4isF5E6fvinUYWYFhClcsGkT0t6AIgHXgYakT4hVw/gVeBlY8w1QCdgRsbbRgGfGWOuIv3Gepfl8BEJwF5jzJXGmCe89NcDepA+cdF44GTGejcC92aMmQYMNMY0AoYAr/uar1K5ofOBKOWbJcaYUxmvWwF10yenBKC4iBQjferTOwGMMctF5OglfN7/jDH/AP+IyN/8OznWdqCBiEQCzYAPM8URdgmfp9QFaQFRyjcnMr22ANdlKigAZPwiz6uDjKmZXnsyLXtI/zm2AMeMMVfm0ecpdUG6C0upS7ea9Ft5AyAiV2a8XAf0zGhrB5TMYR3/AMV8DcAYcxzYJyJdMj5PRKShr+tTKje0gCh16R4BGovItyKyk3+nmx0D3CAiXwI3A79kt4KMaWo/F5HvROR5H+PoCfQWkW+AHUBHH9ejVK7oabxK+YmI7AcaG2MOBToWpfKCboEopZTyiW6BKOVHIlIaWOOl66aM3VhKFRhaQJRSSvlEd2EppZTyiRYQpZRSPtECopRSyidaQJRSSvlEC4hSSimf/D+dTnocAKVgyAAAAABJRU5ErkJggg==\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"T_ps = xrft.power_spectrum(ds.temperature, dim='time', real_dim='time', window='hamming').mean(dim='member')\n",
"\n",
"omega = T_ps.freq_time * 2*np.pi\n",
"ps_expected = sigma**2 / (theta**2 + omega**2)\n",
"\n",
"T_ps.plot(yscale='log', xscale='log')\n",
"ps_expected.plot()\n",
"\n",
"plt.grid()"
]
},
{
"cell_type": "markdown",
"id": "cbc942ce-46eb-474d-89f4-0d32f6e1926d",
"metadata": {},
"source": [
"We can see that the prediction is nearly perfect for this case."
]
},
{
"cell_type": "markdown",
"id": "88868936-5655-40e7-84b9-43604ed803f0",
"metadata": {
"tags": []
},
"source": [
"### Variance Budget\n",
"\n",
"Now let's pretend we don't know what the exact form of the terms on the RHS of the equation is.\n",
"Instead, we just have some diagnostics that we know close the budget.\n",
"\n",
"$$\n",
"\\frac{\\partial T}{\\partial t} = F + D \n",
"$$\n",
"\n",
"For completeness, here we actually do know that $F = \\sigma \\eta(t)$ and $D = - \\theta T$, but that's not the case for the gcm.\n",
"\n",
"The Fourier transform is\n",
"\n",
"$$\n",
"i \\omega \\hat T = \\hat F + \\hat D \\ .\n",
"$$\n",
"\n",
"and we multiply by $\\hat T^\\ast$ the complex conjugate of $\\hat T$ to obtain the spectral variance equation.\n",
"\n",
"\n",
"$$\n",
"i \\omega \\hat T^\\ast \\hat T = \\hat T^\\ast \\hat F + \\hat T^\\ast \\hat D \\ .\n",
"$$\n",
"\n",
"\n",
"The real part of the equation is\n",
"\n",
"$$ 0 = \\Re( \\hat T^\\ast \\hat F ) + \\Re( \\hat T^\\ast \\hat D ) \\ . $$\n",
"\n",
"The imaginary part is\n",
"\n",
"$$ \\omega \\hat T^\\ast \\hat T = \\Im( \\hat T^\\ast \\hat F ) + \\Im( \\hat T^\\ast \\hat D ) \\ . $$\n"
]
},
{
"cell_type": "code",
"execution_count": 13,
"id": "140bed86-648a-44a0-b7bd-92895613ff86",
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/srv/conda/envs/notebook/lib/python3.8/site-packages/xrft/xrft.py:817: FutureWarning: true_phase flag will be set to True in future version of xrft.dft possibly impacting cross_spectrum output. Set explicitely true_phase = False in cross_spectrum arguments list to ensure future compatibility with numpy-like behavior where the coordinates are disregarded.\n",
" warnings.warn(msg, FutureWarning)\n",
"/srv/conda/envs/notebook/lib/python3.8/site-packages/xrft/xrft.py:817: FutureWarning: true_phase flag will be set to True in future version of xrft.dft possibly impacting cross_spectrum output. Set explicitely true_phase = False in cross_spectrum arguments list to ensure future compatibility with numpy-like behavior where the coordinates are disregarded.\n",
" warnings.warn(msg, FutureWarning)\n"
]
}
],
"source": [
"temperature_mid = grid.interp(ds.temperature, 'T')\n",
"a = xrft.cross_spectrum(temperature_mid, ds.forcing, dim='time_mid', real_dim='time_mid', window='hamming').mean(dim='member')\n",
"b = xrft.cross_spectrum(temperature_mid, ds.damping, dim='time_mid', real_dim='time_mid', window='hamming').mean(dim='member')"
]
},
{
"cell_type": "markdown",
"id": "826b5c51-d4b8-48b8-ad60-248225401531",
"metadata": {},
"source": [
"#### Real Part of Budget"
]
},
{
"cell_type": "code",
"execution_count": 14,
"id": "480b8b1e-2fe3-42cc-8eb4-466a6dce3a40",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x7faf6faedf40>"
]
},
"execution_count": 14,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots()\n",
"a.real.plot(xscale='log', ax=ax, label='forcing')\n",
"b.real.plot(xscale='log', ax=ax, label='damping')\n",
"ax.set_yscale('symlog', linthresh=1e-7)\n",
"plt.grid()\n",
"plt.legend()"
]
},
{
"cell_type": "markdown",
"id": "403f3d66-a9dd-4bb2-8f00-5334d0917774",
"metadata": {},
"source": [
"This is a very nice budget! It shows that forcing is adding variance at all scales, while damping is removing it.\n",
"In contrast to the budget timeseries plots we made before, damping is clearly playing a major role.\n",
"\n",
"This suggests that, if we coarsen the budget timseries enough in time, we will indeed see a different balance."
]
},
{
"cell_type": "code",
"execution_count": 15,
"id": "24fe6716-3a4b-46de-8bb8-a8d3f4034d31",
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"budget_smooth = ds.sel(member=0)[['total_tendency', 'forcing', 'damping']].coarsen(time_mid=50000, boundary='pad').mean().to_array()\n",
"budget_smooth.plot.line(x='time_mid', marker='o')\n",
"plt.grid()"
]
},
{
"cell_type": "markdown",
"id": "03fb04ed-5389-4b47-b2eb-157e4acb7fee",
"metadata": {},
"source": [
"We also note that, even in this \"perfect\" toy model, there is still a considerable \"residual\" in the spectral budget.\n",
"Presumably this would get lower with more ensemble members. But this gives us some sort of baseline for how \"good\" a budget can be.\n",
"The semilog scale greatly exaggerates the residual."
]
},
{
"cell_type": "code",
"execution_count": 16,
"id": "ac891e27-7ce6-4278-bbc9-eec9280cfed1",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x7faf6fe87b80>"
]
},
"execution_count": 16,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots()\n",
"a.real.plot(xscale='log', ax=ax, label='forcing')\n",
"b.real.plot(xscale='log', ax=ax, label='damping')\n",
"(a.real + b.real).plot(xscale='log', ax=ax, label='residual')\n",
"plt.grid()\n",
"ax.set_yscale('symlog', linthresh=1e-7)\n",
"plt.legend()"
]
},
{
"cell_type": "markdown",
"id": "d7da290b-f7f3-4a06-8d13-72a3c0333316",
"metadata": {},
"source": [
"Let's see if smoothing is effective at reduding this noise."
]
},
{
"cell_type": "code",
"execution_count": 18,
"id": "6733c956-d50f-422d-8da3-542977e961ca",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x7faf74087a90>"
]
},
"execution_count": 18,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"a_sm = a.rolling(freq_time_mid=10).mean()\n",
"b_sm = b.rolling(freq_time_mid=10).mean()\n",
"fig, ax = plt.subplots()\n",
"a_sm.real.plot(xscale='log', ax=ax, label='forcing')\n",
"b_sm.real.plot(xscale='log', ax=ax, label='damping')\n",
"(a_sm.real + b_sm.real).plot(xscale='log', ax=ax, label='residual')\n",
"plt.grid()\n",
"ax.set_yscale('symlog', linthresh=1e-7)\n",
"plt.legend()"
]
},
{
"cell_type": "markdown",
"id": "87760797-7854-4fca-ad40-f5612237ac93",
"metadata": {},
"source": [
"Yes...BUT it also distorted the shape of the spectrum."
]
},
{
"cell_type": "markdown",
"id": "6d052b11-f07d-4a30-ac40-f24a846cac48",
"metadata": {
"tags": []
},
"source": [
"#### Imaginary Part\n",
"\n",
"Note: I think we need to $\\omega \\to -\\omega$ because Numpy's [FFT sign convention](https://numpy.org/doc/stable/reference/routines.fft.html) is not the same as what we used above.\n",
"\n",
"With that, the imaginary budget seems to close as well."
]
},
{
"cell_type": "code",
"execution_count": 17,
"id": "ef12966d-8bbb-4880-b013-7830c407265c",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x7faf6fda3340>"
]
},
"execution_count": 17,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots()\n",
"\n",
"(-T_ps * omega).plot(xscale='log', ax=ax, label=r'$\\omega \\hat T^\\ast \\hat T$')\n",
"a.imag.plot(xscale='log', ax=ax, label='forcing')\n",
"b.imag.plot(xscale='log', ax=ax, label='damping')\n",
"ax.set_yscale('symlog', linthresh=1e-7)\n",
"plt.grid()\n",
"plt.legend()"
]
},
{
"cell_type": "markdown",
"id": "67127b17-d1dd-4309-8020-faa4b86b51c6",
"metadata": {},
"source": [
"However, _I have no good physical interpretation for the imaginary budget_. I think it relates to the phasing between the different terms."
]
},
{
"cell_type": "markdown",
"id": "8c34f917-b89d-4d54-b214-c51afeac63d6",
"metadata": {},
"source": [
"## Conclusions relevant for the broader project\n",
"\n",
"- If we have a closed tracer budget, we can expect the spectral variance budget to close as well (both the real and imaginary parts)\n",
"- The magnitude of the terms in spectral variance budget appears to correspond to a smoothed version of the budget at the corresponding timescale.\n",
"- Even in highly idealized simulations, the spectra are noisy. Averaging is necessary to see the physical signal we are looking for."
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "9de2abbe-b1d3-4324-8793-f5cc97e6e228",
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3 (ipykernel)",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.8.12"
}
},
"nbformat": 4,
"nbformat_minor": 5
}
Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment