From a3770dee98b827a6436f945b79a6872b28500c2a Mon Sep 17 00:00:00 2001
From: Marco Matthies <71844+marcom@users.noreply.github.com>
Date: Mon, 7 Apr 2025 12:16:48 +0200
Subject: [PATCH] Add height-biomass regression Pluto notebook
---
height-biomass-regression.jl | 1983 ++++++++++++++++++++++++++++++++++
1 file changed, 1983 insertions(+)
create mode 100644 height-biomass-regression.jl
diff --git a/height-biomass-regression.jl b/height-biomass-regression.jl
new file mode 100644
index 0000000..33537c5
--- /dev/null
+++ b/height-biomass-regression.jl
@@ -0,0 +1,1983 @@
+### A Pluto.jl notebook ###
+# v0.20.5
+
+using Markdown
+using InteractiveUtils
+
+# ╔═╡ 9453f1ec-4b07-4ead-b2f8-fedf581f4820
+begin
+ using PlutoUI
+ using DataFrames, GLM, StatsBase, CSV, Plots, LsqFit
+ using Distributions, ForwardDiff, LinearAlgebra
+ using StatsModels: ConstantTerm, Term
+ TableOfContents()
+end
+
+# ╔═╡ f3a7b218-0d98-11f0-09c5-5b1e4ccc61a7
+md"""
+# Height-biomass regression for AquaCrop
+
+Estimate crop height from biomass for use in AquaCrop, as AquaCrop does not calculate plant height.
+
+Performs the following regressions:
+- linear: $y = a x$
+- affine: $y = a x + b$
+- power law: $y = a x^b$
+- rational: $y = (a x^b) / (c + x^b)$
+
+where $y$ is plant height and $x$ is biomass. We perform regressions for both fresh and dry biomass.
+
+Uses data from:
+ [Reichenau et al. (2020) A comprehensive dataset of vegetationstates, fluxes
+ of matter and energy, weather, agricultural management, and soil properties
+ from intensively monitored crop sites in western Germany](https://essd.copernicus.org/articles/12/2333/2020/)
+"""
+
+# ╔═╡ 4da59ad6-5b8d-45f3-a691-1892b854365b
+md"""
+## Results
+
+For comparison the regressions against fresh and dry biomass are shown.
+"""
+
+# ╔═╡ 2d309586-facf-475f-aa8c-d0730ec2ada7
+fmt = :svg
+
+# ╔═╡ 62e747df-13b7-43d1-a788-f3745967cfd0
+md"### Maize"
+
+# ╔═╡ a05ff243-c467-4042-a553-0b88267a4b18
+md"### Winter wheat"
+
+# ╔═╡ 4ff1a0db-47ca-4714-b09d-405d940730ea
+md"### Winter barley"
+
+# ╔═╡ 66792290-5fb6-4641-8293-2d1f467ffb5f
+md"### Rapeseed"
+
+# ╔═╡ 20f1dd4b-6d3e-4608-b0d7-7addfe9319e0
+md"## Constants"
+
+# ╔═╡ d712dbef-f388-4696-a634-37023d5022c2
+const CSV_FILEPATHS = [
+ "./essd-data/huertgenwald/vegetation_HW.csv",
+ "./essd-data/merken/vegetation_MK.csv",
+ "./essd-data/selhausen/vegetation_SE.csv",
+ "./essd-data/merzenhausen/vegetation_ME.csv",
+]
+
+# ╔═╡ 767ff0bd-a520-4d8e-85a3-7f3b5cfe486e
+const COLS_BIOMASS_DRY = [:DW_green_leaves, :DW_brown_leaves,
+ :DW_green_stems, :DW_brown_stems,
+ :DW_fruit]
+
+# ╔═╡ a9d97894-5f58-436f-84a8-90f6f1b5ae32
+const COLS_BIOMASS_FRESH = [:FW_green_leaves, :FW_brown_leaves,
+ :FW_green_stems, :FW_brown_stems,
+ :FW_fruit]
+
+# ╔═╡ fba24771-e365-4ebf-a72c-6c483ac32dc7
+# TODO: note from which figure in paper this is
+const CROPS = Dict(
+ "MA" => "maize",
+ "WW" => "winter wheat",
+ "WB" => "winter barley",
+ "RA" => "rapeseed",
+)
+
+# ╔═╡ 1df29f78-9c77-4097-b67e-37c41433e025
+md"## Methods"
+
+# ╔═╡ 79e25ba8-eb08-444e-b8a6-f559257f2eb8
+md"### Read data"
+
+# ╔═╡ 399228e3-6e1f-40d7-ab31-e3d19cc1e281
+md"### Regression for height from fresh biomass"
+
+# ╔═╡ 73b3e0a6-99f3-44e0-9782-88cdbbe5bf3b
+md"### Regression for height from dry biomass"
+
+# ╔═╡ 07d5eff8-03a8-4258-8b3e-4440965d9b71
+md"## Code"
+
+# ╔═╡ 622f5fba-f510-4d25-b1cc-d31535c6ecaa
+count_nomissing(cols...) = count(r -> all(!ismissing, r), zip(cols...))
+
+# ╔═╡ dbf16004-b7a6-41c0-b4e7-8a6128317215
+function read_dataset(csv_filepath::AbstractString)
+ #println("\nDataset = ", csv_filepath)
+ df = CSV.read(csv_filepath, DataFrame;
+ delim=';', header=1, skipto=3, missingstring="NA")
+ #println("Columns containing 'height' = ",
+ # filter(x->occursin("height", x), names(df)))
+ #println("Columns starting with 'DW_' = ",
+ # filter(x -> startswith(x, "DW_"), names(df)))
+ return df
+end
+
+# ╔═╡ 5fc7de9f-c800-4a1e-b403-e083b465b350
+df = vcat([read_dataset(csv) for csv in CSV_FILEPATHS]...);
+
+# ╔═╡ 850d7e06-86c9-4fd6-ae0c-72e494041294
+names(df)
+
+# ╔═╡ 6ebfadca-534c-4604-8876-21c9c82b745b
+# Number of datasets
+length(unique(df.dataset))
+
+# ╔═╡ 23c5f02b-a24a-486c-a6fd-655d275a68bc
+# datasets
+String.(unique(df.dataset))
+
+# ╔═╡ bbdab08f-f6c2-4ebc-9895-b4e2bae8ae19
+function dataset_stats(df; biomass_cols::Vector{Symbol}=COLS_BIOMASS_FRESH)
+ gdf = groupby(filter(r -> haskey(CROPS, r.land_use), df), :dataset)
+ # println("Num. datasets = $(length(unique(df.dataset)))")
+ # println("Datasets = $(String.(unique(df.dataset)))")
+ df_dataset_stats = combine(gdf,
+ nrow => :ndates,
+ :canopy_height => (col -> sum(!ismissing, col)) => :height,
+ #:DW_biomass_undiff => (col -> sum(!ismissing, col)) => :DW_undiff,
+ #[:canopy_height, :DW_biomass_undiff] => count_nomissing => :height_DW_undiff,
+ [biomass_cols...] => count_nomissing => :biomass,
+ [:canopy_height, biomass_cols...] => count_nomissing => :height_and_biomass,
+ :land_use,
+ )
+ #println("Datasets stats: ", df_dataset_stats)
+ sort!(df_dataset_stats, :height_and_biomass; rev=true)
+ return groupby(df_dataset_stats, :land_use)
+ #return df_dataset_stats
+end
+
+# ╔═╡ f0b56ffb-9ffb-450e-987d-e4a08eb7d09f
+df_stats_fresh = dataset_stats(df; biomass_cols=COLS_BIOMASS_FRESH);
+
+# ╔═╡ 3c92964a-98c6-4e8f-bff7-4b7d0dbbd462
+df_stats_dry = dataset_stats(df; biomass_cols=COLS_BIOMASS_DRY);
+
+# ╔═╡ 3bdc0e72-343a-47da-9e58-93afe888d644
+function make_regressions(
+ df::DataFrame;
+ crop::Pair{String,String}="MA"=>"maize",
+ xcol::Union{Symbol,Vector{Symbol}}=COLS_BIOMASS_FRESH,
+ ycol::Symbol=:canopy_height,
+ xlabel::AbstractString="Fresh biomass (g/plant)",
+ ylabel::AbstractString="Height (cm)",
+)
+ for col in (xcol..., ycol)
+ if String(col) ∉ names(df)
+ error("Column $col not found in dataframe, dataframe columns are $(names(df))")
+ end
+ end
+ if crop ∉ CROPS
+ error("Unknown crop $crop, known are $CROPS")
+ end
+ crop_id, crop_name = crop
+
+ # add xval column for regression
+ df.xval = if xcol isa Symbol
+ df[:, xcol]
+ else
+ sum(eachcol(df[:, xcol]))
+ end
+
+ # divide by num_plants_m2 to get x values per plant and not per m^2
+ df.xval ./= df.num_plants_m2
+
+ df = filter(r -> r.land_use == crop_id
+ && !ismissing(r.xval) && !isnan(r.xval) && !isinf(r.xval)
+ && !ismissing(r[ycol]),
+ df)
+ if nrow(df) == 0
+ error("No rows")
+ end
+
+ check_col_nan_inf(col) = if any(isnan.(col)) || any(isinf.(col))
+ error("NaN or Inf values in matrix")
+ end
+ check_col_nan_inf(df[:, ycol])
+ check_col_nan_inf(df.xval)
+
+ # affine fit: y = a*x + b
+ #lm_affine = lm(@formula(canopy_height ~ DW_total), df)
+ lm_affine = lm(Term(ycol) ~ Term(:xval), df)
+ r2_affine = r2(lm_affine)
+ coef_affine = round.(coef(lm_affine), digits=3)
+
+ # linear fit: y = a*x
+ #lm_linear = lm(@formula(canopy_height ~ 0 + DW_total), df)
+ lm_linear = lm(Term(ycol) ~ ConstantTerm(0) + Term(:xval), df)
+ #lm_linear = lm(FormulaTerm(Term(ycol), Term(:xval); intercept=false), df)
+ r2_linear = r2(lm_linear)
+ coef_linear = round.(coef(lm_linear), digits=3)
+
+ # power law fit: y = a*x^b
+ model_power(x, p) = p[1] * x.^p[2]
+ initial_params = [1.0, 1.0]
+ fit_power = curve_fit(model_power, df.xval, df[:, ycol], initial_params)
+ coef_power = round.(fit_power.param, digits=3)
+ # calculate R^2 for power law fit
+ ss_tot = sum((df[:, ycol] .- mean(df[:, ycol])).^2)
+ ss_res = sum((df[:, ycol] .- model_power(df.xval, fit_power.param)).^2)
+ r2_power = round(1 - ss_res/ss_tot, digits=3)
+
+ # rational function fit: y = (a*x^b) / (c + x^b)
+ @. model_rational(x, p) = (p[1] * x^p[2]) / (p[3] + x^p[2])
+ initial_params = [100.0, 2.0, 4.0]
+ fit_rational = curve_fit(model_rational, df.xval, df[:, ycol],
+ initial_params)
+ coef_rational = round.(fit_rational.param, digits=3)
+ # Calculate R² for rational fn fit
+ ss_tot = sum((df[:, ycol] .- mean(df[:, ycol])).^2)
+ ss_res = sum((df[:, ycol] .- model_rational(df.xval, fit_rational.param)).^2)
+ r2_rational = round(1 - ss_res/ss_tot, digits=3)
+
+ # plot data points
+ plt = scatter(df.xval, df[:, ycol];
+ xlabel, ylabel,
+ title=uppercasefirst(last(crop)),
+ label="Data points", fmt = :svg,
+ )
+
+ # plot affine fit
+ plot!(plt, df.xval, predict(lm_affine), lw=2, linestyle=:dash,
+ seriestype=:line,
+ label="y=$(coef_affine[2])x + $(coef_affine[1]) R²=$(round(r2_affine,digits=3)))")
+
+ # plot linear fit
+ plot!(plt, df.xval, predict(lm_linear), lw=2, linestyle=:dash,
+ seriestype=:line,
+ label="y=$(coef_linear[1])x (R²=$(round(r2_linear,digits=3)))")
+
+ # plot power law fit
+ x_fit = range(minimum(df.xval), stop=maximum(df.xval), length=200)
+ y_fit = model_power(x_fit, fit_power.param)
+ plot!(plt, x_fit, y_fit, lw=2, linestyle=:dot, seriestype=:line,
+ label="y=$(coef_power[1])x^$(coef_power[2]) (R²=$(r2_power))")
+
+ # plot rational fn fit
+ x_fit = range(minimum(df.xval), stop=maximum(df.xval), length=200)
+ y_fit = model_rational(x_fit, fit_rational.param)
+ plot!(plt, x_fit, y_fit, lw=2, linestyle=:dot, seriestype=:line,
+ label="y=($(coef_rational[1])x^$(coef_rational[2]))/($(coef_rational[3]) + x^$(coef_rational[2])) (R²=$(r2_rational))")
+
+ return (;
+ lm_linear,
+ lm_affine,
+ fit_power,
+ fit_rational,
+ plt
+ )
+end
+
+# ╔═╡ 3e8cb2c0-fc0a-45b6-9d68-80bfa3df7718
+res_fresh = Dict(
+ last(crop) => make_regressions(df; crop, xcol=COLS_BIOMASS_FRESH,
+ ycol=:canopy_height,
+ xlabel="Fresh biomass (g/plant)")
+ for crop in CROPS
+)
+
+# ╔═╡ 3f843686-829a-4fab-834c-7039694ba06c
+res_dry = Dict(
+ last(crop) => make_regressions(df; crop, xcol=COLS_BIOMASS_DRY,
+ ycol=:canopy_height,
+ xlabel="Dry biomass (g/plant)")
+ for crop in CROPS
+)
+
+# ╔═╡ ca617e02-5dae-41ea-b164-ea33842f062f
+plot(res_fresh["maize"].plt,
+ res_dry["maize"].plt;
+ layout=(2,1), size=(800,800), fmt=fmt)
+
+# ╔═╡ 08200759-f9ec-4bde-ab43-48e7aefbb394
+plot(res_fresh["winter wheat"].plt,
+ res_dry["winter wheat"].plt;
+ layout=(2,1), size=(800,800), fmt=fmt)
+
+# ╔═╡ d34a96b9-bb51-4a21-b09e-f1e68e123563
+plot(res_fresh["winter barley"].plt,
+ res_dry["winter barley"].plt;
+ layout=(2,1), size=(800,800), fmt=fmt)
+
+# ╔═╡ 7baa1b25-2712-4bb1-9ffb-998af5d71740
+plot(res_fresh["rapeseed"].plt,
+ res_dry["rapeseed"].plt;
+ layout=(2,1), size=(800,800), fmt=fmt)
+
+# ╔═╡ ed7accaf-6ff5-41be-860a-0fb8073359cc
+md"## Testing area"
+
+# ╔═╡ e24a80de-4cd8-4b79-941b-374d48a8caed
+# test plot for a single site
+let
+ df = read_dataset("./essd-data/huertgenwald/vegetation_HW.csv")
+ df_stats = dataset_stats(df)
+ res = make_regressions(df)
+ @info df_stats
+ res.plt
+end
+
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+
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+deps = ["Artifacts", "JLLWrappers", "Libdl", "Xorg_libX11_jll"]
+git-tree-sha1 = "6fcc21d5aea1a0b7cce6cab3e62246abd1949b86"
+uuid = "d091e8ba-531a-589c-9de9-94069b037ed8"
+version = "6.0.0+0"
+
+[[deps.Xorg_libXi_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Xorg_libXext_jll", "Xorg_libXfixes_jll"]
+git-tree-sha1 = "984b313b049c89739075b8e2a94407076de17449"
+uuid = "a51aa0fd-4e3c-5386-b890-e753decda492"
+version = "1.8.2+0"
+
+[[deps.Xorg_libXinerama_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Xorg_libXext_jll"]
+git-tree-sha1 = "a1a7eaf6c3b5b05cb903e35e8372049b107ac729"
+uuid = "d1454406-59df-5ea1-beac-c340f2130bc3"
+version = "1.1.5+0"
+
+[[deps.Xorg_libXrandr_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Xorg_libXext_jll", "Xorg_libXrender_jll"]
+git-tree-sha1 = "b6f664b7b2f6a39689d822a6300b14df4668f0f4"
+uuid = "ec84b674-ba8e-5d96-8ba1-2a689ba10484"
+version = "1.5.4+0"
+
+[[deps.Xorg_libXrender_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Xorg_libX11_jll"]
+git-tree-sha1 = "a490c6212a0e90d2d55111ac956f7c4fa9c277a6"
+uuid = "ea2f1a96-1ddc-540d-b46f-429655e07cfa"
+version = "0.9.11+1"
+
+[[deps.Xorg_libpthread_stubs_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl"]
+git-tree-sha1 = "c57201109a9e4c0585b208bb408bc41d205ac4e9"
+uuid = "14d82f49-176c-5ed1-bb49-ad3f5cbd8c74"
+version = "0.1.2+0"
+
+[[deps.Xorg_libxcb_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "XSLT_jll", "Xorg_libXau_jll", "Xorg_libXdmcp_jll", "Xorg_libpthread_stubs_jll"]
+git-tree-sha1 = "1a74296303b6524a0472a8cb12d3d87a78eb3612"
+uuid = "c7cfdc94-dc32-55de-ac96-5a1b8d977c5b"
+version = "1.17.0+3"
+
+[[deps.Xorg_libxkbfile_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Xorg_libX11_jll"]
+git-tree-sha1 = "dbc53e4cf7701c6c7047c51e17d6e64df55dca94"
+uuid = "cc61e674-0454-545c-8b26-ed2c68acab7a"
+version = "1.1.2+1"
+
+[[deps.Xorg_xcb_util_cursor_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Xorg_xcb_util_image_jll", "Xorg_xcb_util_jll", "Xorg_xcb_util_renderutil_jll"]
+git-tree-sha1 = "04341cb870f29dcd5e39055f895c39d016e18ccd"
+uuid = "e920d4aa-a673-5f3a-b3d7-f755a4d47c43"
+version = "0.1.4+0"
+
+[[deps.Xorg_xcb_util_image_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_xcb_util_jll"]
+git-tree-sha1 = "0fab0a40349ba1cba2c1da699243396ff8e94b97"
+uuid = "12413925-8142-5f55-bb0e-6d7ca50bb09b"
+version = "0.4.0+1"
+
+[[deps.Xorg_xcb_util_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libxcb_jll"]
+git-tree-sha1 = "e7fd7b2881fa2eaa72717420894d3938177862d1"
+uuid = "2def613f-5ad1-5310-b15b-b15d46f528f5"
+version = "0.4.0+1"
+
+[[deps.Xorg_xcb_util_keysyms_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_xcb_util_jll"]
+git-tree-sha1 = "d1151e2c45a544f32441a567d1690e701ec89b00"
+uuid = "975044d2-76e6-5fbe-bf08-97ce7c6574c7"
+version = "0.4.0+1"
+
+[[deps.Xorg_xcb_util_renderutil_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_xcb_util_jll"]
+git-tree-sha1 = "dfd7a8f38d4613b6a575253b3174dd991ca6183e"
+uuid = "0d47668e-0667-5a69-a72c-f761630bfb7e"
+version = "0.3.9+1"
+
+[[deps.Xorg_xcb_util_wm_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_xcb_util_jll"]
+git-tree-sha1 = "e78d10aab01a4a154142c5006ed44fd9e8e31b67"
+uuid = "c22f9ab0-d5fe-5066-847c-f4bb1cd4e361"
+version = "0.4.1+1"
+
+[[deps.Xorg_xkbcomp_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Xorg_libxkbfile_jll"]
+git-tree-sha1 = "ab2221d309eda71020cdda67a973aa582aa85d69"
+uuid = "35661453-b289-5fab-8a00-3d9160c6a3a4"
+version = "1.4.6+1"
+
+[[deps.Xorg_xkeyboard_config_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Xorg_xkbcomp_jll"]
+git-tree-sha1 = "691634e5453ad362044e2ad653e79f3ee3bb98c3"
+uuid = "33bec58e-1273-512f-9401-5d533626f822"
+version = "2.39.0+0"
+
+[[deps.Xorg_xtrans_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl"]
+git-tree-sha1 = "6dba04dbfb72ae3ebe5418ba33d087ba8aa8cb00"
+uuid = "c5fb5394-a638-5e4d-96e5-b29de1b5cf10"
+version = "1.5.1+0"
+
+[[deps.Zlib_jll]]
+deps = ["Libdl"]
+uuid = "83775a58-1f1d-513f-b197-d71354ab007a"
+version = "1.2.13+1"
+
+[[deps.Zstd_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl"]
+git-tree-sha1 = "446b23e73536f84e8037f5dce465e92275f6a308"
+uuid = "3161d3a3-bdf6-5164-811a-617609db77b4"
+version = "1.5.7+1"
+
+[[deps.eudev_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "gperf_jll"]
+git-tree-sha1 = "431b678a28ebb559d224c0b6b6d01afce87c51ba"
+uuid = "35ca27e7-8b34-5b7f-bca9-bdc33f59eb06"
+version = "3.2.9+0"
+
+[[deps.fzf_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl"]
+git-tree-sha1 = "6e50f145003024df4f5cb96c7fce79466741d601"
+uuid = "214eeab7-80f7-51ab-84ad-2988db7cef09"
+version = "0.56.3+0"
+
+[[deps.gperf_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
+git-tree-sha1 = "0ba42241cb6809f1a278d0bcb976e0483c3f1f2d"
+uuid = "1a1c6b14-54f6-533d-8383-74cd7377aa70"
+version = "3.1.1+1"
+
+[[deps.libaom_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl"]
+git-tree-sha1 = "522c1df09d05a71785765d19c9524661234738e9"
+uuid = "a4ae2306-e953-59d6-aa16-d00cac43593b"
+version = "3.11.0+0"
+
+[[deps.libass_jll]]
+deps = ["Artifacts", "Bzip2_jll", "FreeType2_jll", "FriBidi_jll", "HarfBuzz_jll", "JLLWrappers", "Libdl", "Zlib_jll"]
+git-tree-sha1 = "e17c115d55c5fbb7e52ebedb427a0dca79d4484e"
+uuid = "0ac62f75-1d6f-5e53-bd7c-93b484bb37c0"
+version = "0.15.2+0"
+
+[[deps.libblastrampoline_jll]]
+deps = ["Artifacts", "Libdl"]
+uuid = "8e850b90-86db-534c-a0d3-1478176c7d93"
+version = "5.11.0+0"
+
+[[deps.libdecor_jll]]
+deps = ["Artifacts", "Dbus_jll", "JLLWrappers", "Libdl", "Libglvnd_jll", "Pango_jll", "Wayland_jll", "xkbcommon_jll"]
+git-tree-sha1 = "9bf7903af251d2050b467f76bdbe57ce541f7f4f"
+uuid = "1183f4f0-6f2a-5f1a-908b-139f9cdfea6f"
+version = "0.2.2+0"
+
+[[deps.libevdev_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
+git-tree-sha1 = "141fe65dc3efabb0b1d5ba74e91f6ad26f84cc22"
+uuid = "2db6ffa8-e38f-5e21-84af-90c45d0032cc"
+version = "1.11.0+0"
+
+[[deps.libfdk_aac_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl"]
+git-tree-sha1 = "8a22cf860a7d27e4f3498a0fe0811a7957badb38"
+uuid = "f638f0a6-7fb0-5443-88ba-1cc74229b280"
+version = "2.0.3+0"
+
+[[deps.libinput_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "eudev_jll", "libevdev_jll", "mtdev_jll"]
+git-tree-sha1 = "ad50e5b90f222cfe78aa3d5183a20a12de1322ce"
+uuid = "36db933b-70db-51c0-b978-0f229ee0e533"
+version = "1.18.0+0"
+
+[[deps.libpng_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Zlib_jll"]
+git-tree-sha1 = "068dfe202b0a05b8332f1e8e6b4080684b9c7700"
+uuid = "b53b4c65-9356-5827-b1ea-8c7a1a84506f"
+version = "1.6.47+0"
+
+[[deps.libvorbis_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Ogg_jll", "Pkg"]
+git-tree-sha1 = "490376214c4721cdaca654041f635213c6165cb3"
+uuid = "f27f6e37-5d2b-51aa-960f-b287f2bc3b7a"
+version = "1.3.7+2"
+
+[[deps.mtdev_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
+git-tree-sha1 = "814e154bdb7be91d78b6802843f76b6ece642f11"
+uuid = "009596ad-96f7-51b1-9f1b-5ce2d5e8a71e"
+version = "1.1.6+0"
+
+[[deps.nghttp2_jll]]
+deps = ["Artifacts", "Libdl"]
+uuid = "8e850ede-7688-5339-a07c-302acd2aaf8d"
+version = "1.59.0+0"
+
+[[deps.p7zip_jll]]
+deps = ["Artifacts", "Libdl"]
+uuid = "3f19e933-33d8-53b3-aaab-bd5110c3b7a0"
+version = "17.4.0+2"
+
+[[deps.x264_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
+git-tree-sha1 = "4fea590b89e6ec504593146bf8b988b2c00922b2"
+uuid = "1270edf5-f2f9-52d2-97e9-ab00b5d0237a"
+version = "2021.5.5+0"
+
+[[deps.x265_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
+git-tree-sha1 = "ee567a171cce03570d77ad3a43e90218e38937a9"
+uuid = "dfaa095f-4041-5dcd-9319-2fabd8486b76"
+version = "3.5.0+0"
+
+[[deps.xkbcommon_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Wayland_jll", "Wayland_protocols_jll", "Xorg_libxcb_jll", "Xorg_xkeyboard_config_jll"]
+git-tree-sha1 = "63406453ed9b33a0df95d570816d5366c92b7809"
+uuid = "d8fb68d0-12a3-5cfd-a85a-d49703b185fd"
+version = "1.4.1+2"
+"""
+
+# ╔═╡ Cell order:
+# ╟─f3a7b218-0d98-11f0-09c5-5b1e4ccc61a7
+# ╟─4da59ad6-5b8d-45f3-a691-1892b854365b
+# ╠═2d309586-facf-475f-aa8c-d0730ec2ada7
+# ╟─62e747df-13b7-43d1-a788-f3745967cfd0
+# ╠═ca617e02-5dae-41ea-b164-ea33842f062f
+# ╟─a05ff243-c467-4042-a553-0b88267a4b18
+# ╠═08200759-f9ec-4bde-ab43-48e7aefbb394
+# ╟─4ff1a0db-47ca-4714-b09d-405d940730ea
+# ╠═d34a96b9-bb51-4a21-b09e-f1e68e123563
+# ╟─66792290-5fb6-4641-8293-2d1f467ffb5f
+# ╠═7baa1b25-2712-4bb1-9ffb-998af5d71740
+# ╟─20f1dd4b-6d3e-4608-b0d7-7addfe9319e0
+# ╠═d712dbef-f388-4696-a634-37023d5022c2
+# ╠═767ff0bd-a520-4d8e-85a3-7f3b5cfe486e
+# ╠═a9d97894-5f58-436f-84a8-90f6f1b5ae32
+# ╠═fba24771-e365-4ebf-a72c-6c483ac32dc7
+# ╟─1df29f78-9c77-4097-b67e-37c41433e025
+# ╟─79e25ba8-eb08-444e-b8a6-f559257f2eb8
+# ╠═5fc7de9f-c800-4a1e-b403-e083b465b350
+# ╠═850d7e06-86c9-4fd6-ae0c-72e494041294
+# ╠═6ebfadca-534c-4604-8876-21c9c82b745b
+# ╠═23c5f02b-a24a-486c-a6fd-655d275a68bc
+# ╠═f0b56ffb-9ffb-450e-987d-e4a08eb7d09f
+# ╠═3c92964a-98c6-4e8f-bff7-4b7d0dbbd462
+# ╟─399228e3-6e1f-40d7-ab31-e3d19cc1e281
+# ╠═3e8cb2c0-fc0a-45b6-9d68-80bfa3df7718
+# ╟─73b3e0a6-99f3-44e0-9782-88cdbbe5bf3b
+# ╠═3f843686-829a-4fab-834c-7039694ba06c
+# ╟─07d5eff8-03a8-4258-8b3e-4440965d9b71
+# ╠═9453f1ec-4b07-4ead-b2f8-fedf581f4820
+# ╠═622f5fba-f510-4d25-b1cc-d31535c6ecaa
+# ╠═dbf16004-b7a6-41c0-b4e7-8a6128317215
+# ╠═bbdab08f-f6c2-4ebc-9895-b4e2bae8ae19
+# ╠═3bdc0e72-343a-47da-9e58-93afe888d644
+# ╟─ed7accaf-6ff5-41be-860a-0fb8073359cc
+# ╠═e24a80de-4cd8-4b79-941b-374d48a8caed
+# ╠═2f12e4a9-b89a-4723-963f-c07295163017
+# ╟─00000000-0000-0000-0000-000000000001
+# ╟─00000000-0000-0000-0000-000000000002
--
GitLab