{ "cells": [ { "cell_type": "markdown", "source": [ "# A coupled PO₄–POP model" ], "metadata": {} }, { "cell_type": "markdown", "source": [ "In this tutorial we will explicitly simulate 2 tracers whose distributions control and feed back on each other." ], "metadata": {} }, { "cell_type": "markdown", "source": [ "We consider a simple model for the cycling of phosphorus with 2 state variables consisting of phosphate (PO₄) AKA dissolved inorganic phosphorus (DIP) and particulate organic phosphorus (POP).\n", "The dissolved phases are transported by advection and diffusion whereas the particulate phase sinks rapidly down the water column without any appreciable transport by the circulation.\n", "\n", "The governing equations that couple the 3D concentration fields of DIP and POP, denoted $x_\\mathsf{DIP}$ and $x_\\mathsf{POP}$, respectively, are:\n", "\n", "$$\\left[\\frac{\\partial}{\\partial t} + \\nabla \\cdot (\\boldsymbol{u} + \\mathbf{K}\\nabla )\\right] x_\\mathsf{DIP} = -U(x_\\mathsf{DIP}) + R(x_\\mathsf{POP}),$$\n", "\n", "and\n", "\n", "$$\\left[\\frac{\\partial}{\\partial t} + \\nabla \\cdot \\boldsymbol{w}\\right] x_\\mathsf{POP} = U(x_\\mathsf{DIP}) - R(x_\\mathsf{POP}).$$" ], "metadata": {} }, { "cell_type": "markdown", "source": [ "The $\\nabla \\cdot \\left[ \\boldsymbol{u} - \\mathbf{K} \\nabla \\right]$ and $\\nabla \\cdot \\boldsymbol{w}$ operators represent the ocean circulation and the sinking of particles, respectively.\n", "(Tracer transport operators are described in the documentation.)" ], "metadata": {} }, { "cell_type": "markdown", "source": [ "The function $U$ represents the biological uptake of DIP by phytoplankton, which we model here as\n", "\n", "$$U(x_\\mathsf{DIP}) = \\frac{x_\\mathsf{DIP}}{\\tau_\\mathsf{DIP}} \\, \\frac{x_\\mathsf{DIP}}{x_\\mathsf{DIP} + k} \\, (z < z_0),$$\n", "\n", "with the timescale, $\\tau$, the half-saturation rate $k$, and the depth $z_0$ as parameters." ], "metadata": {} }, { "cell_type": "markdown", "source": [ "The function $R$ defines the remineralization rate of POP, which converts POP back into DIP.\n", "For the remineralization, we simply use a linear rate constant, i.e.,\n", "\n", "$$R(x_\\mathsf{POP}) = \\frac{x_\\mathsf{POP}}{\\tau_\\mathsf{POP}}.$$" ], "metadata": {} }, { "cell_type": "markdown", "source": [ "We start by telling Julia we want to use the AIBECS and the OCIM0.1 circulation for DIP." ], "metadata": {} }, { "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "┌ Warning: Over-writing registration of the datadep\n", "│ name = \"AIBECS-OCIM0.1\"\n", "└ @ DataDeps ~/.julia/packages/DataDeps/ae6dT/src/registration.jl:15\n", "┌ Info: You are about to use the OCIM0.1 model.\n", "│ If you use it for research, please cite:\n", "│ \n", "│ - Primeau, F. W., Holzer, M., and DeVries, T. (2013), Southern Ocean nutrient trapping and the efficiency of the biological pump, J. Geophys. Res. Oceans, 118, 2547–2564, doi:10.1002/jgrc.20181.\n", "│ - DeVries, T. and F. Primeau, 2011: Dynamically and Observationally Constrained Estimates of Water-Mass Distributions and Ages in the Global Ocean. J. Phys. Oceanogr., 41, 2381–2401, doi:10.1175/JPO-D-10-05011.1\n", "│ \n", "│ \n", "│ You can find the corresponding BibTeX entries in the CITATION.bib file\n", "│ at the root of the AIBECS.jl package repository.\n", "└ (Look for the \"DeVries_Primeau_2011\" and \"Primeau_etal_2013\" keys.)\n" ] }, { "output_type": "execute_result", "data": { "text/plain": "T_DIP (generic function with 1 method)" }, "metadata": {}, "execution_count": 1 } ], "cell_type": "code", "source": [ "using AIBECS\n", "grd, T_OCIM = OCIM0.load()\n", "T_DIP(p) = T_OCIM" ], "metadata": {}, "execution_count": 1 }, { "cell_type": "markdown", "source": [ "For the sinking of particles, we use the `transportoperator` function" ], "metadata": {} }, { "outputs": [ { "output_type": "execute_result", "data": { "text/plain": "T_POP (generic function with 1 method)" }, "metadata": {}, "execution_count": 2 } ], "cell_type": "code", "source": [ "T_POP(p) = transportoperator(grd, z -> w(z,p))" ], "metadata": {}, "execution_count": 2 }, { "cell_type": "markdown", "source": [ "for which we need to define the sinking speed `w(z,p)` as a function of depth `z` and of the parameters `p`.\n", "Following the assumption that $w(z) = w_0 + w' z$ increases linearly with depth, we write it as" ], "metadata": {} }, { "outputs": [ { "output_type": "execute_result", "data": { "text/plain": "w (generic function with 1 method)" }, "metadata": {}, "execution_count": 3 } ], "cell_type": "code", "source": [ "function w(z,p)\n", " @unpack w₀, w′ = p\n", " return @. w₀ + w′ * z\n", "end" ], "metadata": {}, "execution_count": 3 }, { "cell_type": "markdown", "source": [ "##### Uptake (DIP → POP)" ], "metadata": {} }, { "cell_type": "markdown", "source": [ "For the uptake, $U$, we write" ], "metadata": {} }, { "outputs": [ { "output_type": "execute_result", "data": { "text/plain": "U (generic function with 1 method)" }, "metadata": {}, "execution_count": 4 } ], "cell_type": "code", "source": [ "z = depthvec(grd)\n", "function U(x,p)\n", " @unpack τ_DIP, k, z₀ = p\n", " return @. x/τ_DIP * x/(x+k) * (z≤z₀) * (x≥0)\n", "end" ], "metadata": {}, "execution_count": 4 }, { "cell_type": "markdown", "source": [ "where we have \"unpacked\" the parameters to make the code clearer and as close to the mathematical equation as possible.\n", "(Note we have also added a constraint that `x` must be positive for uptake to happen.)" ], "metadata": {} }, { "cell_type": "markdown", "source": [ "##### Remineralization (POP → DIP)" ], "metadata": {} }, { "cell_type": "markdown", "source": [ "For the remineralization, $R$, we write" ], "metadata": {} }, { "outputs": [ { "output_type": "execute_result", "data": { "text/plain": "R (generic function with 1 method)" }, "metadata": {}, "execution_count": 5 } ], "cell_type": "code", "source": [ "function R(x,p)\n", " @unpack τ_POP = p\n", " return x / τ_POP\n", "end" ], "metadata": {}, "execution_count": 5 }, { "cell_type": "markdown", "source": [ "##### Net sources and sinks" ], "metadata": {} }, { "cell_type": "markdown", "source": [ "We lump the sources and sinks into `G` functions for DIP and POP." ], "metadata": {} }, { "outputs": [ { "output_type": "execute_result", "data": { "text/plain": "G_POP (generic function with 1 method)" }, "metadata": {}, "execution_count": 6 } ], "cell_type": "code", "source": [ "function G_DIP(DIP, POP, p)\n", " @unpack DIP_geo, τ_geo = p\n", " return @. -$U(DIP,p) + $R(POP,p) + (DIP_geo - DIP) / τ_geo\n", "end\n", "function G_POP(DIP, POP, p)\n", " @unpack τ_geo = p\n", " return @. $U(DIP,p) - $R(POP,p) - POP / τ_geo\n", "end" ], "metadata": {}, "execution_count": 6 }, { "cell_type": "markdown", "source": [ "where we have imposed a slow restoring of DIP to the global mean `DIP_geo` to prescribe the global mean concentration.\n", "(The `$` signs in front of `U` and `R` protect them from the broadcast macro `@.`)" ], "metadata": {} }, { "cell_type": "markdown", "source": [ "We now define and build the parameters." ], "metadata": {} }, { "cell_type": "markdown", "source": [ "In this tutorial we will specify some initial values for the parameters\n", "and also include units." ], "metadata": {} }, { "outputs": [ { "output_type": "execute_result", "data": { "text/plain": "initial_value (generic function with 24 methods)" }, "metadata": {}, "execution_count": 7 } ], "cell_type": "code", "source": [ "import AIBECS: @units, units\n", "import AIBECS: @initial_value, initial_value\n", "using Unitful: m, d, s, yr, Myr, mol, mmol, μmol, μM\n", "@initial_value @units struct PmodelParameters{U} <: AbstractParameters{U}\n", " w₀::U | 0.64 | m/d\n", " w′::U | 0.13 | m/d/m\n", " τ_DIP::U | 230.0 | d\n", " k::U | 6.62 | μmol/m^3\n", " z₀::U | 80.0 | m\n", " τ_POP::U | 5.0 | d\n", " τ_geo::U | 1.0 | Myr\n", " DIP_geo::U | 2.12 | mmol/m^3\n", "end" ], "metadata": {}, "execution_count": 7 }, { "cell_type": "markdown", "source": [ "Finally, thanks to the initial values we provided, we can instantiate the parameter vector succintly as" ], "metadata": {} }, { "outputs": [ { "output_type": "execute_result", "data": { "text/plain": " Row │ Symbol Value Initial value Unit\n │ Symbol Float64 Float64 FreeUnit…\n─────┼────────────────────────────────────────────\n 1 │ w₀ 0.64 0.64 m d⁻¹\n 2 │ w′ 0.13 0.13 d⁻¹\n 3 │ τ_DIP 230.0 230.0 d\n 4 │ k 6.62 6.62 μmol m⁻³\n 5 │ z₀ 80.0 80.0 m\n 6 │ τ_POP 5.0 5.0 d\n 7 │ τ_geo 1.0 1.0 Myr\n 8 │ DIP_geo 2.12 2.12 mmol m⁻³" }, "metadata": {}, "execution_count": 8 } ], "cell_type": "code", "source": [ "p = PmodelParameters()" ], "metadata": {}, "execution_count": 8 }, { "cell_type": "markdown", "source": [ "We generate the state function `F`," ], "metadata": {} }, { "outputs": [ { "output_type": "execute_result", "data": { "text/plain": "(::SciMLBase.ODEFunction{false, SciMLBase.FullSpecialize, AIBECS.var\"#f#58\"{Tuple{typeof(Main.var\"##354\".T_DIP), typeof(Main.var\"##354\".T_POP)}, UnitRange{Int64}, AIBECS.var\"#G#56\"{Tuple{typeof(Main.var\"##354\".G_DIP), typeof(Main.var\"##354\".G_POP)}, AIBECS.var\"#tracers#54\"{Int64, Int64}}, AIBECS.var\"#tracer#55\"{Int64, Int64}}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, AIBECS.var\"#jac#63\"{AIBECS.var\"#T#60\"{Tuple{typeof(Main.var\"##354\".T_DIP), typeof(Main.var\"##354\".T_POP)}, Int64, UnitRange{Int64}}, AIBECS.var\"#∇ₓG#59\"{Tuple{typeof(Main.var\"##354\".G_DIP), typeof(Main.var\"##354\".G_POP)}, Int64, Int64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing}) (generic function with 1 method)" }, "metadata": {}, "execution_count": 9 } ], "cell_type": "code", "source": [ "nb = sum(iswet(grd))\n", "F = AIBECSFunction((T_DIP, T_POP), (G_DIP, G_POP), nb)" ], "metadata": {}, "execution_count": 9 }, { "cell_type": "markdown", "source": [ "generate the steady-state problem," ], "metadata": {} }, { "outputs": [ { "output_type": "execute_result", "data": { "text/plain": "\u001b[36mSteadyStateProblem\u001b[0m with uType \u001b[36mVector{Float64}\u001b[0m. In-place: \u001b[36mfalse\u001b[0m\nu0: 382338-element Vector{Float64}:\n 0.0021200000000000004\n 0.0021200000000000004\n 0.0021200000000000004\n 0.0021200000000000004\n 0.0021200000000000004\n 0.0021200000000000004\n 0.0021200000000000004\n 0.0021200000000000004\n 0.0021200000000000004\n 0.0021200000000000004\n ⋮\n 0.0021200000000000004\n 0.0021200000000000004\n 0.0021200000000000004\n 0.0021200000000000004\n 0.0021200000000000004\n 0.0021200000000000004\n 0.0021200000000000004\n 0.0021200000000000004\n 0.0021200000000000004" }, "metadata": {}, "execution_count": 10 } ], "cell_type": "code", "source": [ "@unpack DIP_geo = p\n", "x = DIP_geo * ones(2nb) # initial guess\n", "prob = SteadyStateProblem(F, x, p)" ], "metadata": {}, "execution_count": 10 }, { "cell_type": "markdown", "source": [ "and solve it" ], "metadata": {} }, { "outputs": [ { "output_type": "execute_result", "data": { "text/plain": "382338-element Vector{Float64}:\n 0.0020967060231705586\n 0.0021333454639574046\n 0.0018399997020597568\n 0.0017256341824103496\n 0.0016123285857810134\n 0.0015535540266715638\n 0.0014585415653205036\n 0.0015700081072975408\n 0.0014573425448412827\n 0.0013585026849794804\n ⋮\n 2.7883468616818437e-9\n 1.6701226349920786e-9\n 1.8293710129096136e-9\n 2.8731364692281686e-9\n 2.993647120882326e-9\n 2.8588624377842093e-9\n 3.237991811834619e-9\n 3.0900967665520413e-9\n 3.1845337501765604e-9" }, "metadata": {}, "execution_count": 11 } ], "cell_type": "code", "source": [ "sol = solve(prob, CTKAlg()).u" ], "metadata": {}, "execution_count": 11 }, { "cell_type": "markdown", "source": [ "We can look at different the DIP and POP fields using the Plots.jl recipes." ], "metadata": {} }, { "outputs": [ { "output_type": "execute_result", "data": { "text/plain": "([0.0020967060231705586, 0.0021333454639574046, 0.0018399997020597568, 0.0017256341824103496, 0.0016123285857810134, 0.0015535540266715638, 0.0014585415653205036, 0.0015700081072975408, 0.0014573425448412827, 0.0013585026849794804 … 0.0014112751669103055, 0.0014122643065746792, 0.001391152331545428, 0.001391143349568631, 0.002137740563216725, 0.002139399333555891, 0.002135737129873535, 0.002124992953432931, 0.002134475636274292, 0.0021379362067736243], [2.6134960067760146e-5, 2.6593099800855085e-5, 2.292510803379859e-5, 2.14950867277868e-5, 2.007832138111992e-5, 1.9343409624194476e-5, 1.8155384587607418e-5, 1.954914986032466e-5, 1.8140392190466615e-5, 1.6904513204817316e-5 … 3.040829677839977e-9, 2.7883468616818437e-9, 1.6701226349920786e-9, 1.8293710129096136e-9, 2.8731364692281686e-9, 2.993647120882326e-9, 2.8588624377842093e-9, 3.237991811834619e-9, 3.0900967665520413e-9, 3.1845337501765604e-9])" }, "metadata": {}, "execution_count": 12 } ], "cell_type": "code", "source": [ "DIP, POP = state_to_tracers(sol, grd) # unpack tracers" ], "metadata": {}, "execution_count": 12 }, { "cell_type": "markdown", "source": [ "First, let's look at the mean profile" ], "metadata": {} }, { "outputs": [ { "output_type": "execute_result", "data": { "text/plain": "Plot{Plots.GRBackend() n=1}", "image/png": 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"Plot{Plots.GRBackend() n=1}", "image/png": 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(mol/m^3*m/s) .|> mmol/yr/m^2, grd, depth=500m, color=:inferno, rev=true)" ], "metadata": {}, "execution_count": 16 }, { "cell_type": "markdown", "source": [ "Now let's make our model a little fancier and use a fine topographic map to refine the remineralization profile.\n", "For this, we will use the ETOPO dataset, which can be downloaded by AIBECS via" ], "metadata": {} }, { "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "┌ Warning: Binning ETOPO to grd. This may take a few seconds\n", "└ @ AIBECS.ETOPO ~/work/AIBECS.jl/AIBECS.jl/src/ETOPO.jl:120\n", "┌ Warning: Checksum not provided, add to the Datadep Registration the following hash line\n", "│ hash = \"55ebef118c1bd4d8682464d4d24f0d0850d24160c996d1ff62ca496010ffdf61\"\n", "└ @ DataDeps ~/.julia/packages/DataDeps/ae6dT/src/verification.jl:44\n", "\n", "7-Zip (a) [64] 17.04 : Copyright (c) 1999-2021 Igor Pavlov : 2017-08-28\n", "p7zip Version 17.04 (locale=utf8,Utf16=on,HugeFiles=on,64 bits,3 CPUs x64)\n", "\n", "Scanning the drive for archives:\n", "1 file, 401881655 bytes (384 MiB)\n", "\n", "Extracting archive: /Users/runner/.julia/datadeps/ETOPO_bedrock/ETOPO1_Bed_g_gdal.grd.gz\n", "--\n", "Path = /Users/runner/.julia/datadeps/ETOPO_bedrock/ETOPO1_Bed_g_gdal.grd.gz\n", "Type = gzip\n", "Headers Size = 32\n", "\n", "Everything is Ok\n", "\n", "Size: 933250996\n", "Compressed: 401881655\n", "┌ Info: You are about to use the ETOPO data set.\n", "│ If you use it for research, please cite:\n", "│ \n", "│ - Amante, C. and B.W. Eakins, 2009. ETOPO1 1 Arc-Minute Global Relief Model: Procedures, Data Sources and Analysis. NOAA Technical Memorandum NESDIS NGDC-24. National Geophysical Data Center, NOAA. doi:10.7289/V5C8276M [access date].\n", "│ \n", "│ You can find the corresponding BibTeX entries in the CITATION.bib file\n", "│ at the root of the AIBECS.jl package repository.\n", "└ (Look for the \"Amante_Eakins_2009\" key.)\n" ] }, { "output_type": "execute_result", "data": { "text/plain": "191169-element Vector{Float64}:\n 0.0006887052341597796\n 0.0\n 0.0\n 0.0\n 0.0\n 0.0\n 0.0\n 0.0\n 0.0\n 0.0\n ⋮\n 0.9904166666666666\n 0.9914583333333333\n 0.9657638888888889\n 0.9586805555555555\n 0.9751388888888889\n 0.9947222222222222\n 0.9328472222222223\n 0.9486111111111111\n 0.9800694444444444" }, "metadata": {}, "execution_count": 17 } ], "cell_type": "code", "source": [ "f_topo = ETOPO.fractiontopo(grd)" ], "metadata": {}, "execution_count": 17 }, { "cell_type": "markdown", "source": [ "`f_topo` is the fraction of sediments located in each wet box of the `grd` grid.\n", "We can use it to redefine the transport operator for sinking particles to take into consideration the subgrid topography,\n", "such that the fine-resolution sediments intercept settling POP." ], "metadata": {} }, { "outputs": [ { "output_type": "execute_result", "data": { "text/plain": "T_POP2 (generic function with 1 method)" }, "metadata": {}, "execution_count": 18 } ], "cell_type": "code", "source": [ "T_POP2(p) = transportoperator(grd, z -> w(z,p); frac_seafloor=f_topo)" ], "metadata": {}, "execution_count": 18 }, { "cell_type": "markdown", "source": [ "With this new vertical transport for POP, we can recreate our problem, solve it again" ], "metadata": {} }, { "outputs": [ { "output_type": "execute_result", "data": { "text/plain": "([0.002098085071990412, 0.002134322122263653, 0.0018409833130486558, 0.001726670590173489, 0.0016137061456367907, 0.0015554917832535692, 0.001460712294660835, 0.0015728691982238652, 0.0014603298578029374, 0.0013625583518157756 … 0.0014213554906798663, 0.0014223553341747345, 0.0014013651420082711, 0.0014013599107128268, 0.002140746929386296, 0.0021424031082460625, 0.002138758544915841, 0.0021280771897302523, 0.0021375005841025797, 0.002140943543096884], [2.6159857260827024e-5, 2.6605311942817016e-5, 2.2937407071816106e-5, 2.1508045912162667e-5, 2.0095546275722533e-5, 1.936763914146748e-5, 1.8182527108061812e-5, 1.958492467293204e-5, 1.817774516666401e-5, 1.6955224585970612e-5 … 3.1092058441323234e-9, 2.8716550526667183e-9, 1.8040447193498278e-9, 1.977252650932807e-9, 2.9378792364005663e-9, 3.070130196974248e-9, 2.9462721482426546e-9, 3.2997240879217117e-9, 3.1590417354174945e-9, 3.2660288276147305e-9])" }, "metadata": {}, "execution_count": 19 } ], "cell_type": "code", "source": [ "F2 = AIBECSFunction((T_DIP, T_POP2), (G_DIP, G_POP), nb)\n", "prob2 = SteadyStateProblem(F2, x, p)\n", "sol2 = solve(prob2, CTKAlg()).u\n", "DIP2, POP2 = state_to_tracers(sol2, grd) # unpack tracers" ], "metadata": {}, "execution_count": 19 }, { "cell_type": "markdown", "source": [ "and check the difference" ], "metadata": {} }, { "outputs": [ { "output_type": "execute_result", "data": { "text/plain": "Plot{Plots.GRBackend() n=1}", "image/png": 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"source": [ "This zonal average shows how much DIP is redistributed as it is prevented from sinking out of the surface layers with the new subgrid parameterization." ], "metadata": {} }, { "cell_type": "markdown", "source": [ "Let's look at the vertical average." ], "metadata": {} }, { "outputs": [ { "output_type": "execute_result", "data": { "text/plain": "Plot{Plots.GRBackend() n=1}", "image/png": 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