Gigatonnes to mm SLR.ipynb

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  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Wikipedia: The area of the World Ocean is about 361.9 million square kilometers"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "A = 361.9e6 # [km^2]\n",
    "Gt = 1000.0e9 # [kg] 1 tonne = 1000 kg"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1.0000000000000002"
      ]
     },
     "execution_count": 2,
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   ],
   "source": [
    "\"\"\" \n",
    "Convert kg to liters = dm^3\n",
    "then to cubic meter (m^3)\n",
    "\"\"\"\n",
    "Gt_dm3 = Gt # NOTE: assuming water equivalent: not accounted for density of ice\n",
    "Gt_m3 = Gt_dm3*0.1**3\n",
    "Gt_km3 = Gt_m3 * 1e-9 # [km^3] one gigatonne = 1 km^3\n",
    "Gt_km3"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "\"\"\"\n",
    "Convert ocean area to m\n",
    "\"\"\"\n",
    "A_m3 = A*1000**2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.002763194252555955"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
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   ],
   "source": [
    "\"\"\"\n",
    "Calculate SLR equivalent of 1 Gt (in m and mm)\n",
    "\"\"\"\n",
    "SLR = Gt_m3 / A_m3\n",
    "SLR_mm = SLR*1000\n",
    "SLR_mm"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Check with vd Broeke, 2017: *the GrIS (including its peripheral glaciers) lost an estimated 2.9 ± 0.5 × 10^3 Gt of mass between 1991 and 2011, equivalent to ≈ 8 mm of global mean sea level rise (SLR).*"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "361.9"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "1/SLR_mm"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "8.013263332412269"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
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   ],
   "source": [
    "2.9e3 * SLR_mm # Should yield 8 mm"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## custom input below"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "1 mm is equivalent to 363"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "361.9"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "1/SLR_mm"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1.0030395136778116"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "363*SLR_mm"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
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