diff --git a/height-biomass-regression.jl b/height-biomass-regression.jl new file mode 100644 index 0000000000000000000000000000000000000000..33537c50d99fccf7f4e5a8a95007501b55fa02bf --- /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 + +# ╔═╡ 2f12e4a9-b89a-4723-963f-c07295163017 + + +# ╔═╡ 00000000-0000-0000-0000-000000000001 +PLUTO_PROJECT_TOML_CONTENTS = """ +[deps] +CSV = "336ed68f-0bac-5ca0-87d4-7b16caf5d00b" +DataFrames = "a93c6f00-e57d-5684-b7b6-d8193f3e46c0" +Distributions = "31c24e10-a181-5473-b8eb-7969acd0382f" +ForwardDiff = "f6369f11-7733-5829-9624-2563aa707210" +GLM = "38e38edf-8417-5370-95a0-9cbb8c7f171a" +LinearAlgebra = "37e2e46d-f89d-539d-b4ee-838fcccc9c8e" +LsqFit = "2fda8390-95c7-5789-9bda-21331edee243" +Plots = "91a5bcdd-55d7-5caf-9e0b-520d859cae80" +PlutoUI = "7f904dfe-b85e-4ff6-b463-dae2292396a8" +StatsBase = "2913bbd2-ae8a-5f71-8c99-4fb6c76f3a91" +StatsModels = "3eaba693-59b7-5ba5-a881-562e759f1c8d" + +[compat] +CSV = "~0.10.15" +DataFrames = 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