├── .gitignore ├── README.md └── notebooks ├── cookie-cutter.jl ├── declustering.jl ├── directional-variograms.jl ├── hilbert-kriging.jl ├── image-quilting.jl ├── stratigraphy.jl ├── two-point-stats.jl ├── variogram-modeling.jl └── variography-game.jl /.gitignore: -------------------------------------------------------------------------------- 1 | notebooks/.ipynb_checkpoints 2 | -------------------------------------------------------------------------------- /README.md: -------------------------------------------------------------------------------- 1 | # GeoStatsTutorials 2 | 3 | Tutorials in the form of [Pluto](https://github.com/fonsp/Pluto.jl) notebooks 4 | for the [GeoStats.jl](https://github.com/juliohm/GeoStats.jl) framework. 5 | 6 |

7 | 8 | 9 | 10 |

11 | 12 | # Instructions 13 | 14 | To run the notebooks locally, install Pluto: 15 | 16 | ```julia 17 | julia> import Pkg 18 | julia> Pkg.add("Pluto") 19 | ``` 20 | 21 | launch it: 22 | 23 | ```julia 24 | julia> import Pluto 25 | julia> Pluto.run() 26 | ``` 27 | 28 | and open any notebook in the `notebooks` directory. 29 | 30 | ## Contributing 31 | 32 | Contributions are very welcome, please submit a pull request or open an issue 33 | with a tutorial that you feel is missing. 34 | -------------------------------------------------------------------------------- /notebooks/declustering.jl: -------------------------------------------------------------------------------- 1 | ### A Pluto.jl notebook ### 2 | # v0.19.9 3 | 4 | using Markdown 5 | using InteractiveUtils 6 | 7 | # ╔═╡ 8ced4438-1fa2-11eb-0f34-5d4b6ae2e1d3 8 | begin 9 | # packages used in this notebook 10 | using GeoStats 11 | using GeoStatsImages 12 | 13 | # default plot settings 14 | using Plots; gr(size=(700,400), c=:cividis) 15 | 16 | # make sure that results are reproducible 17 | using Random; Random.seed!(2020) 18 | end; 19 | 20 | # ╔═╡ 58cbb430-74bc-45b0-b371-46d8db6ea2bf 21 | md""" 22 | # How much Gold there is left? 23 | 24 | We will pretend that we are a mining company interested in extracting a mineral resource such as Gold (Au) from a mine $\mathcal{D}$. Based on the fact that we are trying to maximize profit, we end up collecting samples $\mathcal{S} = \{Au(x_1),Au(x_2),\ldots,Au(x_N)\}$ at nearby locations $x_1,x_2,\ldots,x_N$ where we believe we will find the mineral we are after. 25 | 26 | Our data acquisition process suffers from *sampling bias*: most of our samples reflect high concentrations of Gold. 27 | 28 | **Problem statement**: 29 | 30 | Estimate the remaining amount of Gold in the mine $\mathcal{D}$ from the geospatial samples $\mathcal{S}$. 31 | 32 | *Can we do any better than multiplying the sample average by the volume of the mine?* 33 | 34 | $$\underbrace{\left(\frac{1}{N}\sum_{i=1}^{N} Au(x_i)\right)}_{\mu_\mathcal{S}:\text{ sample average}} \times \mathcal{V}(\mathcal{D})$$ 35 | """ 36 | 37 | # ╔═╡ fc60b540-1a0f-11eb-3bd0-23c1ea40c42c 38 | begin 39 | # reference image representing a mine 40 | ℐ = geostatsimage("WalkerLakeTruth") 41 | 42 | # rename variable Z to Au 43 | 𝒟 = georef((Au=ℐ.Z,), domain(ℐ)) 44 | 45 | # sample from geospatial data 46 | 𝒮 = sample(𝒟, 50, 𝒟.Au, replace=false) 47 | 48 | plot(plot(𝒟), plot(𝒮)) 49 | end 50 | 51 | # ╔═╡ a779b5df-19d5-4de1-90c1-499fef8e0a99 52 | md""" 53 | The mean value of Gold in the mine is: 54 | """ 55 | 56 | # ╔═╡ c5a1c13e-cd05-41bc-a20a-ce1d2912f3b4 57 | μ𝒟 = mean(𝒟.Au) 58 | 59 | # ╔═╡ 06b89221-c543-45be-baf9-513ccc7a8762 60 | md""" 61 | whereas the sample average is much higher: 62 | """ 63 | 64 | # ╔═╡ 1f984003-b063-4400-bd26-9d5888bd923a 65 | μ𝒮 = mean(𝒮.Au) 66 | 67 | # ╔═╡ c6d99824-249b-4517-982d-ea951a826dbb 68 | md""" 69 | ## Geospatial declustering 70 | 71 | Notice that besides suffering from sampling bias, our sampling process leads to samples that are *clustered in space*. To quantify this observation, let's partition $\mathcal{S}$ into blocks $\mathcal{B}_1,\mathcal{B}_2,\ldots,\mathcal{B}_M$ of size $b^2$ and count the number of samples that share a block: 72 | """ 73 | 74 | # ╔═╡ 41cfd2ee-1a10-11eb-2509-911a08eb0e16 75 | begin 76 | ℬ = partition(𝒮, BlockPartition(50.,50.)) 77 | p₁ = plot(ℬ, colorbar=false, xlabel="x", ylabel="y") 78 | p₂ = bar(nelements.(ℬ), xlabel="block", ylabel="counts", legend=false) 79 | plot(p₁, p₂) 80 | end 81 | 82 | # ╔═╡ 0857c193-0866-4c79-be0d-74750e0cc5ef 83 | md""" 84 | Samples that are close to each other are redundant, and shouldn't receive the same "importance" in the mean estimate compared with isolated samples. We can use the block counts $|\mathcal{B}_j|$ to assign importance weights $w_b(x_i) = \frac{1}{|\mathcal{B}_j|}$ to the samples $Au(x_i)$ based on their locations $x_i \in \mathcal{B}_j$: 85 | """ 86 | 87 | # ╔═╡ 16a8cebb-0427-4cab-8697-be5b8274812e 88 | begin 89 | 𝒲 = weight(𝒮, BlockWeighting(50.,50.)) 90 | plot(𝒲, c=:Oranges) 91 | end 92 | 93 | # ╔═╡ f7fd71ae-2995-4176-984b-9524cad8c199 94 | md""" 95 | These weights $w_b(x_i)$, which are a function of the block size $b^2$, can be used in a weighted average 96 | 97 | $$\mu_\mathcal{B} = \frac{\sum_{i=1}^N w_b(x_i) Au(x_i)}{\sum_{i=1}^N w_b(x_i)}$$ 98 | 99 | that generalizes the sample average $\mu_\mathcal{S} = \lim_{b\to 0} \mu_\mathcal{B}$. 100 | 101 | We can plot the weighted average for increasing block sizes to notice that the sample average (i.e. uniform weights) is recovered when the block size is too small (each sample is its own block), or when the block size is too large (all samples are in a single block): 102 | """ 103 | 104 | # ╔═╡ bb3b8830-1a0d-11eb-3578-3fb0b1f8ffe0 105 | begin 106 | bs = range(1, stop=120, length=100) 107 | ms = [mean(𝒮, :Au, b) for b in bs] 108 | 109 | plot(xlabel="block size", ylabel="mean estimate", legend=:bottomright) 110 | plot!(bs, ms, c=:green, label="weighted average") 111 | hline!([μ𝒮], c=:red, ls=:dash, label="sample average") 112 | hline!([μ𝒟], c=:black, ls=:dash, label="true average") 113 | end 114 | 115 | # ╔═╡ 5d87af07-ffba-4e02-ac1b-b168b5d0b304 116 | md""" 117 | In case the block size is ommited, GeoStats.jl uses a heuristic to select a "reasonable" block size for the given geospatial configuration: 118 | """ 119 | 120 | # ╔═╡ a1c3e8c0-1a0d-11eb-2163-659f72901110 121 | μℬ = mean(𝒮, :Au) 122 | 123 | # ╔═╡ a52f0030-1a0d-11eb-2412-c90fa06d295a 124 | md""" 125 | | Sample average | Weighted average | True average | 126 | |:--------------:|:----------------:|:------------:| 127 | | $μ𝒮 | $μℬ | $μ𝒟 | 128 | """ 129 | 130 | # ╔═╡ a9bca08e-2a23-49b4-9f99-2267ff827e27 131 | md""" 132 | We can compare the difference, in volume of Gold, between the two statistics: 133 | """ 134 | 135 | # ╔═╡ 4644c09e-1a0d-11eb-3db4-afbc0bbaad23 136 | 𝒱 = area(boundingbox(𝒮)) 137 | 138 | # ╔═╡ 096d397d-370c-4d6a-b01b-45cac8981adc 139 | (μ𝒮 - μℬ) * 𝒱 140 | 141 | # ╔═╡ d9daf7aa-271b-4833-a15f-a3b71dd9da4a 142 | md""" 143 | ### Declustered statistics 144 | 145 | The idea of assigning importance weights to samples via geospatial declustering is general, and holds for any statistic of interest. Hence, the term *declustered statistics*. To give another example, we can obtain better estimates of any quantile of the Gold distribution by considering the coordinates of the samples: 146 | 147 | #### Classical quantile 148 | """ 149 | 150 | # ╔═╡ d10fd364-dfe2-4011-a96c-d986a3b1e8a1 151 | quantile(𝒮.Au, [0.25,0.50,0.75]) 152 | 153 | # ╔═╡ d52c29ee-535d-4b6f-a277-00e39c1a44cd 154 | md""" 155 | #### Geospatial quantile 156 | """ 157 | 158 | # ╔═╡ e87cbc5e-b1f3-4ee0-90b2-6e83ff2ac862 159 | quantile(𝒮, :Au, [0.25,0.50,0.75]) 160 | 161 | # ╔═╡ 7084342c-622b-464c-9c63-c9434bad3b2e 162 | md""" 163 | ## Remarks 164 | 165 | - Samples can be weighted based on their coordinates to improve volumetric estimates 166 | - Declustering is particularly useful in the presence of sampling bias and correlation 167 | - GeoStats.jl changes the semantics of statistics such as `mean`, `var` and `quantile` 168 | """ 169 | 170 | # ╔═╡ 00000000-0000-0000-0000-000000000001 171 | PLUTO_PROJECT_TOML_CONTENTS = """ 172 | [deps] 173 | GeoStats = "dcc97b0b-8ce5-5539-9008-bb190f959ef6" 174 | GeoStatsImages = "7cd16168-b42c-5e7d-a585-4f59d326662d" 175 | Plots = "91a5bcdd-55d7-5caf-9e0b-520d859cae80" 176 | Random = "9a3f8284-a2c9-5f02-9a11-845980a1fd5c" 177 | 178 | [compat] 179 | GeoStats = "~0.31.7" 180 | GeoStatsImages = "~1.0.0" 181 | Plots = "~1.30.1" 182 | """ 183 | 184 | # ╔═╡ 00000000-0000-0000-0000-000000000002 185 | PLUTO_MANIFEST_TOML_CONTENTS = """ 186 | # This file is machine-generated - editing it directly is not advised 187 | 188 | julia_version = "1.7.2" 189 | manifest_format = "2.0" 190 | 191 | [[deps.AbstractFFTs]] 192 | deps = ["ChainRulesCore", "LinearAlgebra"] 193 | git-tree-sha1 = "8e9c3482c61d06343a6199814bf84f7df82f2b28" 194 | uuid = "621f4979-c628-5d54-868e-fcf4e3e8185c" 195 | version = "1.2.0" 196 | 197 | [[deps.AbstractTrees]] 198 | git-tree-sha1 = "5c0b629df8a5566a06f5fef5100b53ea56e465a0" 199 | uuid = "1520ce14-60c1-5f80-bbc7-55ef81b5835c" 200 | version = "0.4.2" 201 | 202 | [[deps.Adapt]] 203 | deps = 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["Artifacts", "Expat_jll", "JLLWrappers", "Libdl", "Libffi_jll", "Pkg", "XML2_jll"] 1413 | git-tree-sha1 = "3e61f0b86f90dacb0bc0e73a0c5a83f6a8636e23" 1414 | uuid = "a2964d1f-97da-50d4-b82a-358c7fce9d89" 1415 | version = "1.19.0+0" 1416 | 1417 | [[deps.Wayland_protocols_jll]] 1418 | deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] 1419 | git-tree-sha1 = "4528479aa01ee1b3b4cd0e6faef0e04cf16466da" 1420 | uuid = "2381bf8a-dfd0-557d-9999-79630e7b1b91" 1421 | version = "1.25.0+0" 1422 | 1423 | [[deps.XML2_jll]] 1424 | deps = ["Artifacts", "JLLWrappers", "Libdl", "Libiconv_jll", "Pkg", "Zlib_jll"] 1425 | git-tree-sha1 = "58443b63fb7e465a8a7210828c91c08b92132dff" 1426 | uuid = "02c8fc9c-b97f-50b9-bbe4-9be30ff0a78a" 1427 | version = "2.9.14+0" 1428 | 1429 | [[deps.XSLT_jll]] 1430 | deps = ["Artifacts", "JLLWrappers", "Libdl", "Libgcrypt_jll", "Libgpg_error_jll", "Libiconv_jll", "Pkg", "XML2_jll", "Zlib_jll"] 1431 | git-tree-sha1 = "91844873c4085240b95e795f692c4cec4d805f8a" 1432 | uuid = "aed1982a-8fda-507f-9586-7b0439959a61" 1433 | version = "1.1.34+0" 1434 | 1435 | [[deps.Xorg_libX11_jll]] 1436 | deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libxcb_jll", "Xorg_xtrans_jll"] 1437 | git-tree-sha1 = "5be649d550f3f4b95308bf0183b82e2582876527" 1438 | uuid = "4f6342f7-b3d2-589e-9d20-edeb45f2b2bc" 1439 | version = "1.6.9+4" 1440 | 1441 | [[deps.Xorg_libXau_jll]] 1442 | deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] 1443 | git-tree-sha1 = "4e490d5c960c314f33885790ed410ff3a94ce67e" 1444 | uuid = "0c0b7dd1-d40b-584c-a123-a41640f87eec" 1445 | version = "1.0.9+4" 1446 | 1447 | [[deps.Xorg_libXcursor_jll]] 1448 | deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libXfixes_jll", "Xorg_libXrender_jll"] 1449 | git-tree-sha1 = "12e0eb3bc634fa2080c1c37fccf56f7c22989afd" 1450 | uuid = "935fb764-8cf2-53bf-bb30-45bb1f8bf724" 1451 | version = "1.2.0+4" 1452 | 1453 | [[deps.Xorg_libXdmcp_jll]] 1454 | deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] 1455 | git-tree-sha1 = "4fe47bd2247248125c428978740e18a681372dd4" 1456 | uuid = "a3789734-cfe1-5b06-b2d0-1dd0d9d62d05" 1457 | version = "1.1.3+4" 1458 | 1459 | [[deps.Xorg_libXext_jll]] 1460 | deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libX11_jll"] 1461 | git-tree-sha1 = "b7c0aa8c376b31e4852b360222848637f481f8c3" 1462 | uuid = "1082639a-0dae-5f34-9b06-72781eeb8cb3" 1463 | version = "1.3.4+4" 1464 | 1465 | [[deps.Xorg_libXfixes_jll]] 1466 | deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libX11_jll"] 1467 | git-tree-sha1 = "0e0dc7431e7a0587559f9294aeec269471c991a4" 1468 | uuid = "d091e8ba-531a-589c-9de9-94069b037ed8" 1469 | version = "5.0.3+4" 1470 | 1471 | [[deps.Xorg_libXi_jll]] 1472 | deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libXext_jll", "Xorg_libXfixes_jll"] 1473 | git-tree-sha1 = "89b52bc2160aadc84d707093930ef0bffa641246" 1474 | uuid = "a51aa0fd-4e3c-5386-b890-e753decda492" 1475 | version = "1.7.10+4" 1476 | 1477 | [[deps.Xorg_libXinerama_jll]] 1478 | deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libXext_jll"] 1479 | git-tree-sha1 = "26be8b1c342929259317d8b9f7b53bf2bb73b123" 1480 | uuid = "d1454406-59df-5ea1-beac-c340f2130bc3" 1481 | version = "1.1.4+4" 1482 | 1483 | [[deps.Xorg_libXrandr_jll]] 1484 | deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libXext_jll", "Xorg_libXrender_jll"] 1485 | git-tree-sha1 = "34cea83cb726fb58f325887bf0612c6b3fb17631" 1486 | uuid = "ec84b674-ba8e-5d96-8ba1-2a689ba10484" 1487 | version = "1.5.2+4" 1488 | 1489 | [[deps.Xorg_libXrender_jll]] 1490 | deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libX11_jll"] 1491 | git-tree-sha1 = "19560f30fd49f4d4efbe7002a1037f8c43d43b96" 1492 | uuid = "ea2f1a96-1ddc-540d-b46f-429655e07cfa" 1493 | version = "0.9.10+4" 1494 | 1495 | [[deps.Xorg_libpthread_stubs_jll]] 1496 | deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] 1497 | git-tree-sha1 = "6783737e45d3c59a4a4c4091f5f88cdcf0908cbb" 1498 | uuid = "14d82f49-176c-5ed1-bb49-ad3f5cbd8c74" 1499 | version = "0.1.0+3" 1500 | 1501 | [[deps.Xorg_libxcb_jll]] 1502 | deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "XSLT_jll", "Xorg_libXau_jll", "Xorg_libXdmcp_jll", "Xorg_libpthread_stubs_jll"] 1503 | git-tree-sha1 = "daf17f441228e7a3833846cd048892861cff16d6" 1504 | uuid = "c7cfdc94-dc32-55de-ac96-5a1b8d977c5b" 1505 | version = "1.13.0+3" 1506 | 1507 | [[deps.Xorg_libxkbfile_jll]] 1508 | deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libX11_jll"] 1509 | git-tree-sha1 = "926af861744212db0eb001d9e40b5d16292080b2" 1510 | uuid = "cc61e674-0454-545c-8b26-ed2c68acab7a" 1511 | version = "1.1.0+4" 1512 | 1513 | [[deps.Xorg_xcb_util_image_jll]] 1514 | deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_xcb_util_jll"] 1515 | git-tree-sha1 = "0fab0a40349ba1cba2c1da699243396ff8e94b97" 1516 | uuid = "12413925-8142-5f55-bb0e-6d7ca50bb09b" 1517 | version = "0.4.0+1" 1518 | 1519 | [[deps.Xorg_xcb_util_jll]] 1520 | deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libxcb_jll"] 1521 | git-tree-sha1 = "e7fd7b2881fa2eaa72717420894d3938177862d1" 1522 | uuid = "2def613f-5ad1-5310-b15b-b15d46f528f5" 1523 | version = "0.4.0+1" 1524 | 1525 | [[deps.Xorg_xcb_util_keysyms_jll]] 1526 | deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_xcb_util_jll"] 1527 | git-tree-sha1 = "d1151e2c45a544f32441a567d1690e701ec89b00" 1528 | uuid = "975044d2-76e6-5fbe-bf08-97ce7c6574c7" 1529 | version = "0.4.0+1" 1530 | 1531 | [[deps.Xorg_xcb_util_renderutil_jll]] 1532 | deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_xcb_util_jll"] 1533 | git-tree-sha1 = "dfd7a8f38d4613b6a575253b3174dd991ca6183e" 1534 | uuid = "0d47668e-0667-5a69-a72c-f761630bfb7e" 1535 | version = "0.3.9+1" 1536 | 1537 | [[deps.Xorg_xcb_util_wm_jll]] 1538 | deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_xcb_util_jll"] 1539 | git-tree-sha1 = "e78d10aab01a4a154142c5006ed44fd9e8e31b67" 1540 | uuid = "c22f9ab0-d5fe-5066-847c-f4bb1cd4e361" 1541 | version = "0.4.1+1" 1542 | 1543 | [[deps.Xorg_xkbcomp_jll]] 1544 | deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libxkbfile_jll"] 1545 | git-tree-sha1 = "4bcbf660f6c2e714f87e960a171b119d06ee163b" 1546 | uuid = "35661453-b289-5fab-8a00-3d9160c6a3a4" 1547 | version = "1.4.2+4" 1548 | 1549 | [[deps.Xorg_xkeyboard_config_jll]] 1550 | deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_xkbcomp_jll"] 1551 | git-tree-sha1 = "5c8424f8a67c3f2209646d4425f3d415fee5931d" 1552 | uuid = "33bec58e-1273-512f-9401-5d533626f822" 1553 | version = "2.27.0+4" 1554 | 1555 | [[deps.Xorg_xtrans_jll]] 1556 | deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] 1557 | git-tree-sha1 = "79c31e7844f6ecf779705fbc12146eb190b7d845" 1558 | uuid = "c5fb5394-a638-5e4d-96e5-b29de1b5cf10" 1559 | version = "1.4.0+3" 1560 | 1561 | [[deps.Zlib_jll]] 1562 | deps = ["Libdl"] 1563 | uuid = "83775a58-1f1d-513f-b197-d71354ab007a" 1564 | 1565 | [[deps.Zstd_jll]] 1566 | deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] 1567 | git-tree-sha1 = "e45044cd873ded54b6a5bac0eb5c971392cf1927" 1568 | uuid = "3161d3a3-bdf6-5164-811a-617609db77b4" 1569 | version = "1.5.2+0" 1570 | 1571 | [[deps.ZygoteRules]] 1572 | deps = ["MacroTools"] 1573 | git-tree-sha1 = "8c1a8e4dfacb1fd631745552c8db35d0deb09ea0" 1574 | uuid = "700de1a5-db45-46bc-99cf-38207098b444" 1575 | version = "0.2.2" 1576 | 1577 | [[deps.libass_jll]] 1578 | deps = ["Artifacts", "Bzip2_jll", "FreeType2_jll", "FriBidi_jll", "HarfBuzz_jll", "JLLWrappers", "Libdl", "Pkg", "Zlib_jll"] 1579 | git-tree-sha1 = "5982a94fcba20f02f42ace44b9894ee2b140fe47" 1580 | uuid = "0ac62f75-1d6f-5e53-bd7c-93b484bb37c0" 1581 | version = "0.15.1+0" 1582 | 1583 | [[deps.libblastrampoline_jll]] 1584 | deps = ["Artifacts", "Libdl", "OpenBLAS_jll"] 1585 | uuid = "8e850b90-86db-534c-a0d3-1478176c7d93" 1586 | 1587 | [[deps.libfdk_aac_jll]] 1588 | deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] 1589 | git-tree-sha1 = "daacc84a041563f965be61859a36e17c4e4fcd55" 1590 | uuid = "f638f0a6-7fb0-5443-88ba-1cc74229b280" 1591 | version = "2.0.2+0" 1592 | 1593 | [[deps.libpng_jll]] 1594 | deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Zlib_jll"] 1595 | git-tree-sha1 = "94d180a6d2b5e55e447e2d27a29ed04fe79eb30c" 1596 | uuid = "b53b4c65-9356-5827-b1ea-8c7a1a84506f" 1597 | version = "1.6.38+0" 1598 | 1599 | [[deps.libvorbis_jll]] 1600 | deps = ["Artifacts", "JLLWrappers", "Libdl", "Ogg_jll", "Pkg"] 1601 | git-tree-sha1 = "b910cb81ef3fe6e78bf6acee440bda86fd6ae00c" 1602 | uuid = "f27f6e37-5d2b-51aa-960f-b287f2bc3b7a" 1603 | version = "1.3.7+1" 1604 | 1605 | [[deps.nghttp2_jll]] 1606 | deps = ["Artifacts", "Libdl"] 1607 | uuid = "8e850ede-7688-5339-a07c-302acd2aaf8d" 1608 | 1609 | [[deps.p7zip_jll]] 1610 | deps = ["Artifacts", "Libdl"] 1611 | uuid = "3f19e933-33d8-53b3-aaab-bd5110c3b7a0" 1612 | 1613 | [[deps.x264_jll]] 1614 | deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] 1615 | git-tree-sha1 = "4fea590b89e6ec504593146bf8b988b2c00922b2" 1616 | uuid = "1270edf5-f2f9-52d2-97e9-ab00b5d0237a" 1617 | version = "2021.5.5+0" 1618 | 1619 | [[deps.x265_jll]] 1620 | deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] 1621 | git-tree-sha1 = "ee567a171cce03570d77ad3a43e90218e38937a9" 1622 | uuid = "dfaa095f-4041-5dcd-9319-2fabd8486b76" 1623 | version = "3.5.0+0" 1624 | 1625 | [[deps.xkbcommon_jll]] 1626 | deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Wayland_jll", "Wayland_protocols_jll", "Xorg_libxcb_jll", "Xorg_xkeyboard_config_jll"] 1627 | git-tree-sha1 = "ece2350174195bb31de1a63bea3a41ae1aa593b6" 1628 | uuid = "d8fb68d0-12a3-5cfd-a85a-d49703b185fd" 1629 | version = "0.9.1+5" 1630 | """ 1631 | 1632 | # ╔═╡ Cell order: 1633 | # ╠═8ced4438-1fa2-11eb-0f34-5d4b6ae2e1d3 1634 | # ╟─58cbb430-74bc-45b0-b371-46d8db6ea2bf 1635 | # ╠═fc60b540-1a0f-11eb-3bd0-23c1ea40c42c 1636 | # ╟─a779b5df-19d5-4de1-90c1-499fef8e0a99 1637 | # ╠═c5a1c13e-cd05-41bc-a20a-ce1d2912f3b4 1638 | # ╟─06b89221-c543-45be-baf9-513ccc7a8762 1639 | # ╠═1f984003-b063-4400-bd26-9d5888bd923a 1640 | # ╟─c6d99824-249b-4517-982d-ea951a826dbb 1641 | # ╠═41cfd2ee-1a10-11eb-2509-911a08eb0e16 1642 | # ╟─0857c193-0866-4c79-be0d-74750e0cc5ef 1643 | # ╠═16a8cebb-0427-4cab-8697-be5b8274812e 1644 | # ╟─f7fd71ae-2995-4176-984b-9524cad8c199 1645 | # ╠═bb3b8830-1a0d-11eb-3578-3fb0b1f8ffe0 1646 | # ╟─5d87af07-ffba-4e02-ac1b-b168b5d0b304 1647 | # ╠═a1c3e8c0-1a0d-11eb-2163-659f72901110 1648 | # ╟─a52f0030-1a0d-11eb-2412-c90fa06d295a 1649 | # ╟─a9bca08e-2a23-49b4-9f99-2267ff827e27 1650 | # ╠═4644c09e-1a0d-11eb-3db4-afbc0bbaad23 1651 | # ╠═096d397d-370c-4d6a-b01b-45cac8981adc 1652 | # ╟─d9daf7aa-271b-4833-a15f-a3b71dd9da4a 1653 | # ╠═d10fd364-dfe2-4011-a96c-d986a3b1e8a1 1654 | # ╟─d52c29ee-535d-4b6f-a277-00e39c1a44cd 1655 | # ╠═e87cbc5e-b1f3-4ee0-90b2-6e83ff2ac862 1656 | # ╟─7084342c-622b-464c-9c63-c9434bad3b2e 1657 | # ╟─00000000-0000-0000-0000-000000000001 1658 | # ╟─00000000-0000-0000-0000-000000000002 1659 | -------------------------------------------------------------------------------- /notebooks/stratigraphy.jl: -------------------------------------------------------------------------------- 1 | ### A Pluto.jl notebook ### 2 | # v0.19.9 3 | 4 | using Markdown 5 | using InteractiveUtils 6 | 7 | # ╔═╡ fc7b9a21-34dd-40ba-9d57-9f785904e307 8 | begin 9 | # packages used in this notebook 10 | using GeoStats 11 | using StratiGraphics 12 | 13 | # default plot settings 14 | using Plots; gr(size=(700,400), format=:png) 15 | 16 | # make sure that results are reproducible 17 | using Random; Random.seed!(2021) 18 | end; 19 | 20 | # ╔═╡ b3fa8609-b27e-4ad2-9836-b7841d6a8db0 21 | md""" 22 | ## Creating surfaces 23 | 24 | First, we demonstrate how Markov-Poisson sampling can be used to generate random surfaces of a 3D stratigraphic model. 25 | 26 | We start by defining a set of 2D geostatistical processes: 27 | """ 28 | 29 | # ╔═╡ 61daf6c2-71a3-11eb-3810-ff67b544d72b 30 | begin 31 | solver₁ = FFTGS(:land => (variogram=GaussianVariogram(range=100.,sill=3e-2),)) 32 | solver₂ = FFTGS(:land => (variogram=GaussianVariogram(range=100.,sill=3e-2),)) 33 | 34 | procs = [GeoStatsProcess(solver) for solver in [solver₁, solver₂]] 35 | end; 36 | 37 | # ╔═╡ 700cff42-71a3-11eb-0bd0-43662099751a 38 | md""" 39 | In this example, we define two Gaussian processes. This processes represent smooth "depositional" processes as indicated by the GaussianVariogram model. The range and sill parameters determine the "frequency" and "height" of oscillation in the horizons, respectively. 40 | 41 | Having a set of processes defined to evolve a landscape, we need transition probabilities between these processes in order to build stratigraphy over time. Here we say that the two processes are balanced (i.e. 50% / 50% chance in the long run): 42 | """ 43 | 44 | # ╔═╡ 7cfdd530-71a3-11eb-212f-5f05c6e9a32b 45 | P = [0.5 0.5 46 | 0.5 0.5] 47 | 48 | # ╔═╡ 8195379e-71a3-11eb-007f-556d235edf2e 49 | md""" 50 | Finally, we specify a duration process that determines the (random) amount of time that each process takes before a new transition: 51 | """ 52 | 53 | # ╔═╡ 87c0f5b0-71a3-11eb-2bd9-5b17609aa37e 54 | ΔT = ExponentialDuration(1.0) 55 | 56 | # ╔═╡ 8caa48b0-71a3-11eb-13b6-ad167093b2b5 57 | md""" 58 | We create a geological environment with the components defined above: 59 | """ 60 | 61 | # ╔═╡ 943ce9c0-71a3-11eb-1f36-c1575df9d64d 62 | env = Environment(procs, P, ΔT); 63 | 64 | # ╔═╡ a39ee6c0-71a3-11eb-37a6-6b10b691816c 65 | md""" 66 | Given an initial state (i.e. flat land), and a number of epochs, we can simulate the environment to produce a geological record: 67 | """ 68 | 69 | # ╔═╡ 98ad8a52-71a3-11eb-11f7-697f1f42f72e 70 | begin 71 | nepochs = 10 # number of surfaces to simulate 72 | 73 | init = LandState(zeros(500,500)) # each surface is a 500x500 image 74 | 75 | record = simulate(env, init, nepochs) 76 | end; 77 | 78 | # ╔═╡ ac62b4d0-71a3-11eb-3f18-45756be15fba 79 | md""" 80 | From the record, we can extract the surfaces that make the stratigraphic model. Two options are available for stacking the surfaces, they are :erosional (default) in which case the surfaces are eroded backward in time, and :depositional in which case the surfaces are deposited forward in time: 81 | """ 82 | 83 | # ╔═╡ b43481c0-71a3-11eb-358e-6314ea693e5e 84 | begin 85 | strata = Strata(record) 86 | 87 | plot(strata, size=(600,600)) 88 | end 89 | 90 | # ╔═╡ c1813350-71a3-11eb-1d48-ab432f7a2f4b 91 | md""" 92 | We can convert the stratigraphic model into a 3D voxel model by specifying a vertical resolution: 93 | """ 94 | 95 | # ╔═╡ ca98edc0-71a3-11eb-25d8-bde416e1b51a 96 | begin 97 | model = voxelize(strata, 250) # 500x500x250 voxel model 98 | 99 | xslice = rotr90(model[25,:,:]) 100 | yslice = rotr90(model[:,25,:]) 101 | 102 | px = heatmap(xslice, title="xline") 103 | py = heatmap(yslice, title="yline") 104 | 105 | plot(px, py, size=(950,200), aspect_ratio=:equal, clim=(0,nepochs)) 106 | end 107 | 108 | # ╔═╡ d06dd940-71a3-11eb-25ba-5d1cf54e15e2 109 | md""" 110 | ## Putting it all together 111 | 112 | We can create many such stratigraphic models by defining a simulation problem for stratigraphy: 113 | """ 114 | 115 | # ╔═╡ e00676a0-71a3-11eb-1355-4b949a460052 116 | problem = SimulationProblem(CartesianGrid(500,500,250), :strata => Float64, 3) 117 | 118 | # ╔═╡ e79e47d0-71a3-11eb-1fa7-6da8d2f1a167 119 | md""" 120 | The StratSim solver is compliant with the GeoStats.jl API: 121 | """ 122 | 123 | # ╔═╡ ee764b70-71a3-11eb-2d35-43056ba7f528 124 | solver = StratSim(:strata => (environment=env,)) 125 | 126 | # ╔═╡ fad1e640-71a3-11eb-1518-0d2eb7b95875 127 | solution = solve(problem, solver) 128 | 129 | # ╔═╡ 05b8944e-71a4-11eb-269a-cb9412e8e223 130 | md""" 131 | The solution contains 3 realizations of stratrigraphy, which can be visualized with: 132 | """ 133 | 134 | # ╔═╡ fb8cea20-71a9-11eb-2a4c-4beb0a2f20d9 135 | begin 136 | plts = [] 137 | for (i,real) in enumerate(solution) 138 | # realization as a 3D array 139 | r = asarray(real, :strata) 140 | 141 | # take vertical slices 142 | xslice = rotr90(r[25,:,:]) 143 | yslice = rotr90(r[:,25,:]) 144 | 145 | px = heatmap(xslice, title="realization $i (xline)", clim=(0,nepochs)) 146 | py = heatmap(yslice, title="realization $i (yline)", clim=(0,nepochs)) 147 | 148 | plt = plot(px, py, aspectratio=:equal, size=(950,200)) 149 | 150 | push!(plts, plt) 151 | end 152 | plot(plts..., layout=(3,1), size=(750, 700)) 153 | end 154 | 155 | # ╔═╡ 00000000-0000-0000-0000-000000000001 156 | PLUTO_PROJECT_TOML_CONTENTS = """ 157 | [deps] 158 | GeoStats = "dcc97b0b-8ce5-5539-9008-bb190f959ef6" 159 | Plots = "91a5bcdd-55d7-5caf-9e0b-520d859cae80" 160 | Random = "9a3f8284-a2c9-5f02-9a11-845980a1fd5c" 161 | StratiGraphics = "135379e1-83be-5ae7-9e8e-29dade3dc6c7" 162 | 163 | [compat] 164 | GeoStats = "~0.31.7" 165 | Plots = "~1.30.1" 166 | StratiGraphics = "~0.5.2" 167 | """ 168 | 169 | # ╔═╡ 00000000-0000-0000-0000-000000000002 170 | PLUTO_MANIFEST_TOML_CONTENTS = """ 171 | # This file is machine-generated - editing it directly is not advised 172 | 173 | julia_version = "1.7.2" 174 | manifest_format = "2.0" 175 | 176 | [[deps.AbstractFFTs]] 177 | deps = ["ChainRulesCore", "LinearAlgebra"] 178 | git-tree-sha1 = "8e9c3482c61d06343a6199814bf84f7df82f2b28" 179 | uuid = "621f4979-c628-5d54-868e-fcf4e3e8185c" 180 | version = "1.2.0" 181 | 182 | [[deps.AbstractTrees]] 183 | git-tree-sha1 = "5c0b629df8a5566a06f5fef5100b53ea56e465a0" 184 | uuid = "1520ce14-60c1-5f80-bbc7-55ef81b5835c" 185 | version = "0.4.2" 186 | 187 | [[deps.Adapt]] 188 | deps = ["LinearAlgebra"] 189 | git-tree-sha1 = "af92965fb30777147966f58acb05da51c5616b5f" 190 | uuid = "79e6a3ab-5dfb-504d-930d-738a2a938a0e" 191 | version = "3.3.3" 192 | 193 | [[deps.ArgCheck]] 194 | git-tree-sha1 = "a3a402a35a2f7e0b87828ccabbd5ebfbebe356b4" 195 | uuid = "dce04be8-c92d-5529-be00-80e4d2c0e197" 196 | version = "2.3.0" 197 | 198 | [[deps.ArgTools]] 199 | uuid = "0dad84c5-d112-42e6-8d28-ef12dabb789f" 200 | 201 | [[deps.ArrayInterfaceCore]] 202 | deps = ["LinearAlgebra", "SparseArrays", "SuiteSparse"] 203 | git-tree-sha1 = "7d255eb1d2e409335835dc8624c35d97453011eb" 204 | uuid = "30b0a656-2188-435a-8636-2ec0e6a096e2" 205 | version = "0.1.14" 206 | 207 | [[deps.Artifacts]] 208 | uuid = "56f22d72-fd6d-98f1-02f0-08ddc0907c33" 209 | 210 | [[deps.AxisArrays]] 211 | deps = ["Dates", "IntervalSets", "IterTools", "RangeArrays"] 212 | git-tree-sha1 = "1dd4d9f5beebac0c03446918741b1a03dc5e5788" 213 | uuid = "39de3d68-74b9-583c-8d2d-e117c070f3a9" 214 | version = "0.4.6" 215 | 216 | [[deps.BangBang]] 217 | deps = ["Compat", "ConstructionBase", "Future", "InitialValues", "LinearAlgebra", "Requires", "Setfield", "Tables", "ZygoteRules"] 218 | git-tree-sha1 = "b15a6bc52594f5e4a3b825858d1089618871bf9d" 219 | uuid = "198e06fe-97b7-11e9-32a5-e1d131e6ad66" 220 | version = "0.3.36" 221 | 222 | [[deps.Base64]] 223 | uuid = "2a0f44e3-6c83-55bd-87e4-b1978d98bd5f" 224 | 225 | [[deps.Baselet]] 226 | git-tree-sha1 = "aebf55e6d7795e02ca500a689d326ac979aaf89e" 227 | uuid = "9718e550-a3fa-408a-8086-8db961cd8217" 228 | version = "0.1.1" 229 | 230 | [[deps.Bzip2_jll]] 231 | deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] 232 | git-tree-sha1 = "19a35467a82e236ff51bc17a3a44b69ef35185a2" 233 | uuid = "6e34b625-4abd-537c-b88f-471c36dfa7a0" 234 | version = "1.0.8+0" 235 | 236 | [[deps.CEnum]] 237 | git-tree-sha1 = "eb4cb44a499229b3b8426dcfb5dd85333951ff90" 238 | uuid = "fa961155-64e5-5f13-b03f-caf6b980ea82" 239 | version = "0.4.2" 240 | 241 | [[deps.Cairo_jll]] 242 | deps = ["Artifacts", "Bzip2_jll", "Fontconfig_jll", "FreeType2_jll", "Glib_jll", "JLLWrappers", "LZO_jll", "Libdl", "Pixman_jll", "Pkg", "Xorg_libXext_jll", "Xorg_libXrender_jll", "Zlib_jll", "libpng_jll"] 243 | git-tree-sha1 = "4b859a208b2397a7a623a03449e4636bdb17bcf2" 244 | uuid = "83423d85-b0ee-5818-9007-b63ccbeb887a" 245 | version = "1.16.1+1" 246 | 247 | [[deps.Calculus]] 248 | deps = ["LinearAlgebra"] 249 | git-tree-sha1 = "f641eb0a4f00c343bbc32346e1217b86f3ce9dad" 250 | uuid = "49dc2e85-a5d0-5ad3-a950-438e2897f1b9" 251 | version = "0.5.1" 252 | 253 | [[deps.CatIndices]] 254 | deps = ["CustomUnitRanges", "OffsetArrays"] 255 | git-tree-sha1 = "a0f80a09780eed9b1d106a1bf62041c2efc995bc" 256 | uuid = "aafaddc9-749c-510e-ac4f-586e18779b91" 257 | version = "0.2.2" 258 | 259 | [[deps.CategoricalArrays]] 260 | deps = ["DataAPI", "Future", "Missings", "Printf", "Requires", "Statistics", "Unicode"] 261 | git-tree-sha1 = "5f5a975d996026a8dd877c35fe26a7b8179c02ba" 262 | uuid = "324d7699-5711-5eae-9e2f-1d82baa6b597" 263 | version = "0.10.6" 264 | 265 | [[deps.ChainRulesCore]] 266 | deps = ["Compat", "LinearAlgebra", "SparseArrays"] 267 | git-tree-sha1 = "2dd813e5f2f7eec2d1268c57cf2373d3ee91fcea" 268 | uuid = "d360d2e6-b24c-11e9-a2a3-2a2ae2dbcce4" 269 | version = "1.15.1" 270 | 271 | [[deps.ChangesOfVariables]] 272 | deps = ["ChainRulesCore", "LinearAlgebra", "Test"] 273 | git-tree-sha1 = "1e315e3f4b0b7ce40feded39c73049692126cf53" 274 | uuid = "9e997f8a-9a97-42d5-a9f1-ce6bfc15e2c0" 275 | version = "0.1.3" 276 | 277 | [[deps.CircularArrays]] 278 | deps = ["OffsetArrays"] 279 | git-tree-sha1 = "3587fdbecba8c44f7e7285a1957182711b95f580" 280 | uuid = "7a955b69-7140-5f4e-a0ed-f168c5e2e749" 281 | version = "1.3.1" 282 | 283 | [[deps.Clustering]] 284 | deps = ["Distances", "LinearAlgebra", "NearestNeighbors", "Printf", "SparseArrays", "Statistics", "StatsBase"] 285 | git-tree-sha1 = "75479b7df4167267d75294d14b58244695beb2ac" 286 | uuid = "aaaa29a8-35af-508c-8bc3-b662a17a0fe5" 287 | version = "0.14.2" 288 | 289 | [[deps.CoDa]] 290 | deps = ["AxisArrays", "Distances", "Distributions", "FillArrays", "LinearAlgebra", "Printf", "Random", "ScientificTypes", "StaticArrays", "Statistics", "StatsBase", "TableTransforms", "Tables", "UnicodePlots"] 291 | git-tree-sha1 = "8a97fd3541bfff45a387435c50cff4472be3d6c8" 292 | uuid = "5900dafe-f573-5c72-b367-76665857777b" 293 | version = "1.0.0" 294 | 295 | [[deps.ColorSchemes]] 296 | deps = ["ColorTypes", "ColorVectorSpace", "Colors", "FixedPointNumbers", "Random"] 297 | git-tree-sha1 = "1fd869cc3875b57347f7027521f561cf46d1fcd8" 298 | uuid = "35d6a980-a343-548e-a6ea-1d62b119f2f4" 299 | version = "3.19.0" 300 | 301 | [[deps.ColorTypes]] 302 | deps = ["FixedPointNumbers", "Random"] 303 | git-tree-sha1 = "eb7f0f8307f71fac7c606984ea5fb2817275d6e4" 304 | uuid = "3da002f7-5984-5a60-b8a6-cbb66c0b333f" 305 | version = "0.11.4" 306 | 307 | [[deps.ColorVectorSpace]] 308 | deps = ["ColorTypes", "FixedPointNumbers", "LinearAlgebra", "SpecialFunctions", "Statistics", "TensorCore"] 309 | git-tree-sha1 = "d08c20eef1f2cbc6e60fd3612ac4340b89fea322" 310 | uuid = "c3611d14-8923-5661-9e6a-0046d554d3a4" 311 | version = "0.9.9" 312 | 313 | [[deps.Colors]] 314 | deps = ["ColorTypes", "FixedPointNumbers", "Reexport"] 315 | git-tree-sha1 = "417b0ed7b8b838aa6ca0a87aadf1bb9eb111ce40" 316 | uuid = "5ae59095-9a9b-59fe-a467-6f913c188581" 317 | version = "0.12.8" 318 | 319 | [[deps.Combinatorics]] 320 | git-tree-sha1 = "08c8b6831dc00bfea825826be0bc8336fc369860" 321 | uuid = "861a8166-3701-5b0c-9a16-15d98fcdc6aa" 322 | version = "1.0.2" 323 | 324 | [[deps.CommonSubexpressions]] 325 | deps = ["MacroTools", "Test"] 326 | git-tree-sha1 = "7b8a93dba8af7e3b42fecabf646260105ac373f7" 327 | uuid = "bbf7d656-a473-5ed7-a52c-81e309532950" 328 | version = "0.3.0" 329 | 330 | [[deps.Compat]] 331 | deps = ["Base64", "Dates", "DelimitedFiles", "Distributed", "InteractiveUtils", "LibGit2", "Libdl", "LinearAlgebra", "Markdown", "Mmap", "Pkg", "Printf", "REPL", "Random", "SHA", "Serialization", "SharedArrays", "Sockets", "SparseArrays", "Statistics", "Test", "UUIDs", "Unicode"] 332 | git-tree-sha1 = "9be8be1d8a6f44b96482c8af52238ea7987da3e3" 333 | uuid = "34da2185-b29b-5c13-b0c7-acf172513d20" 334 | version = "3.45.0" 335 | 336 | [[deps.CompilerSupportLibraries_jll]] 337 | deps = ["Artifacts", "Libdl"] 338 | uuid = "e66e0078-7015-5450-92f7-15fbd957f2ae" 339 | 340 | [[deps.CompositionsBase]] 341 | git-tree-sha1 = "455419f7e328a1a2493cabc6428d79e951349769" 342 | uuid = "a33af91c-f02d-484b-be07-31d278c5ca2b" 343 | version = "0.1.1" 344 | 345 | [[deps.ComputationalResources]] 346 | git-tree-sha1 = "52cb3ec90e8a8bea0e62e275ba577ad0f74821f7" 347 | uuid = "ed09eef8-17a6-5b46-8889-db040fac31e3" 348 | version = "0.3.2" 349 | 350 | [[deps.ConstructionBase]] 351 | deps = ["LinearAlgebra"] 352 | git-tree-sha1 = "c096d0e321368ac23eb1be1ea405814f8b32adb3" 353 | uuid = "187b0558-2788-49d3-abe0-74a17ed4e7c9" 354 | version = "1.3.1" 355 | 356 | [[deps.Contour]] 357 | deps = ["StaticArrays"] 358 | git-tree-sha1 = "9f02045d934dc030edad45944ea80dbd1f0ebea7" 359 | uuid = "d38c429a-6771-53c6-b99e-75d170b6e991" 360 | version = "0.5.7" 361 | 362 | [[deps.CpuId]] 363 | deps = ["Markdown"] 364 | git-tree-sha1 = "fcbb72b032692610bfbdb15018ac16a36cf2e406" 365 | uuid = "adafc99b-e345-5852-983c-f28acb93d879" 366 | version = "0.3.1" 367 | 368 | [[deps.Crayons]] 369 | git-tree-sha1 = "249fe38abf76d48563e2f4556bebd215aa317e15" 370 | uuid = "a8cc5b0e-0ffa-5ad4-8c14-923d3ee1735f" 371 | version = "4.1.1" 372 | 373 | [[deps.CustomUnitRanges]] 374 | git-tree-sha1 = "1a3f97f907e6dd8983b744d2642651bb162a3f7a" 375 | uuid = "dc8bdbbb-1ca9-579f-8c36-e416f6a65cce" 376 | version = "1.0.2" 377 | 378 | [[deps.DataAPI]] 379 | git-tree-sha1 = "fb5f5316dd3fd4c5e7c30a24d50643b73e37cd40" 380 | uuid = "9a962f9c-6df0-11e9-0e5d-c546b8b5ee8a" 381 | version = "1.10.0" 382 | 383 | [[deps.DataStructures]] 384 | deps = ["Compat", "InteractiveUtils", "OrderedCollections"] 385 | git-tree-sha1 = "d1fff3a548102f48987a52a2e0d114fa97d730f0" 386 | uuid = "864edb3b-99cc-5e75-8d2d-829cb0a9cfe8" 387 | version = "0.18.13" 388 | 389 | [[deps.DataValueInterfaces]] 390 | git-tree-sha1 = "bfc1187b79289637fa0ef6d4436ebdfe6905cbd6" 391 | uuid = "e2d170a0-9d28-54be-80f0-106bbe20a464" 392 | version = "1.0.0" 393 | 394 | [[deps.Dates]] 395 | deps = ["Printf"] 396 | uuid = "ade2ca70-3891-5945-98fb-dc099432e06a" 397 | 398 | [[deps.DefineSingletons]] 399 | git-tree-sha1 = "0fba8b706d0178b4dc7fd44a96a92382c9065c2c" 400 | uuid = "244e2a9f-e319-4986-a169-4d1fe445cd52" 401 | version = "0.1.2" 402 | 403 | [[deps.DelimitedFiles]] 404 | deps = ["Mmap"] 405 | uuid = "8bb1440f-4735-579b-a4ab-409b98df4dab" 406 | 407 | [[deps.DensityInterface]] 408 | deps = ["InverseFunctions", "Test"] 409 | git-tree-sha1 = "80c3e8639e3353e5d2912fb3a1916b8455e2494b" 410 | uuid = "b429d917-457f-4dbc-8f4c-0cc954292b1d" 411 | version = "0.4.0" 412 | 413 | [[deps.DensityRatioEstimation]] 414 | deps = ["LinearAlgebra", "Parameters", "Random", "Requires", "Statistics", "StatsBase"] 415 | git-tree-sha1 = "5eff3192daa4f956f553ebcffa582a9e8d1db9e8" 416 | uuid = "ab46fb84-d57c-11e9-2f65-6f72e4a7229f" 417 | version = "0.5.1" 418 | 419 | [[deps.Dictionaries]] 420 | deps = ["Indexing", "Random"] 421 | git-tree-sha1 = "7669d53b75e9f9e2fa32d5215cb2af348b2c13e2" 422 | uuid = 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"DensityInterface", "FillArrays", "LinearAlgebra", "PDMats", "Printf", "QuadGK", "Random", "SparseArrays", "SpecialFunctions", "Statistics", "StatsBase", "StatsFuns", "Test"] 449 | git-tree-sha1 = "0597dffe1268516192ff4ddebdb4d8937254512d" 450 | uuid = "31c24e10-a181-5473-b8eb-7969acd0382f" 451 | version = "0.25.63" 452 | 453 | [[deps.DocStringExtensions]] 454 | deps = ["LibGit2"] 455 | git-tree-sha1 = "b19534d1895d702889b219c382a6e18010797f0b" 456 | uuid = "ffbed154-4ef7-542d-bbb7-c09d3a79fcae" 457 | version = "0.8.6" 458 | 459 | [[deps.Downloads]] 460 | deps = ["ArgTools", "LibCURL", "NetworkOptions"] 461 | uuid = "f43a241f-c20a-4ad4-852c-f6b1247861c6" 462 | 463 | [[deps.DualNumbers]] 464 | deps = ["Calculus", "NaNMath", "SpecialFunctions"] 465 | git-tree-sha1 = "5837a837389fccf076445fce071c8ddaea35a566" 466 | uuid = "fa6b7ba4-c1ee-5f82-b5fc-ecf0adba8f74" 467 | version = "0.6.8" 468 | 469 | [[deps.EarCut_jll]] 470 | deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] 471 | git-tree-sha1 = "3f3a2501fa7236e9b911e0f7a588c657e822bb6d" 472 | uuid = "5ae413db-bbd1-5e63-b57d-d24a61df00f5" 473 | version = "2.2.3+0" 474 | 475 | [[deps.Expat_jll]] 476 | deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] 477 | git-tree-sha1 = "bad72f730e9e91c08d9427d5e8db95478a3c323d" 478 | uuid = "2e619515-83b5-522b-bb60-26c02a35a201" 479 | version = "2.4.8+0" 480 | 481 | [[deps.FFMPEG]] 482 | deps = ["FFMPEG_jll"] 483 | git-tree-sha1 = "b57e3acbe22f8484b4b5ff66a7499717fe1a9cc8" 484 | uuid = "c87230d0-a227-11e9-1b43-d7ebe4e7570a" 485 | version = "0.4.1" 486 | 487 | [[deps.FFMPEG_jll]] 488 | deps = ["Artifacts", "Bzip2_jll", "FreeType2_jll", "FriBidi_jll", "JLLWrappers", "LAME_jll", "Libdl", "Ogg_jll", "OpenSSL_jll", "Opus_jll", "Pkg", "Zlib_jll", "libass_jll", "libfdk_aac_jll", "libvorbis_jll", "x264_jll", "x265_jll"] 489 | git-tree-sha1 = "d8a578692e3077ac998b50c0217dfd67f21d1e5f" 490 | uuid = "b22a6f82-2f65-5046-a5b2-351ab43fb4e5" 491 | version = "4.4.0+0" 492 | 493 | [[deps.FFTViews]] 494 | deps = ["CustomUnitRanges", "FFTW"] 495 | git-tree-sha1 = "cbdf14d1e8c7c8aacbe8b19862e0179fd08321c2" 496 | uuid = "4f61f5a4-77b1-5117-aa51-3ab5ef4ef0cd" 497 | version = "0.3.2" 498 | 499 | [[deps.FFTW]] 500 | deps = ["AbstractFFTs", "FFTW_jll", "LinearAlgebra", "MKL_jll", "Preferences", "Reexport"] 501 | git-tree-sha1 = "90630efff0894f8142308e334473eba54c433549" 502 | uuid = "7a1cc6ca-52ef-59f5-83cd-3a7055c09341" 503 | version = "1.5.0" 504 | 505 | [[deps.FFTW_jll]] 506 | deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] 507 | git-tree-sha1 = "c6033cc3892d0ef5bb9cd29b7f2f0331ea5184ea" 508 | uuid = "f5851436-0d7a-5f13-b9de-f02708fd171a" 509 | version = "3.3.10+0" 510 | 511 | [[deps.FileIO]] 512 | deps = ["Pkg", "Requires", "UUIDs"] 513 | git-tree-sha1 = "9267e5f50b0e12fdfd5a2455534345c4cf2c7f7a" 514 | uuid = "5789e2e9-d7fb-5bc7-8068-2c6fae9b9549" 515 | version = "1.14.0" 516 | 517 | [[deps.FillArrays]] 518 | deps = ["LinearAlgebra", "Random", "SparseArrays", 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= "3.0.0" 1191 | 1192 | [[deps.RelocatableFolders]] 1193 | deps = ["SHA", "Scratch"] 1194 | git-tree-sha1 = "cdbd3b1338c72ce29d9584fdbe9e9b70eeb5adca" 1195 | uuid = "05181044-ff0b-4ac5-8273-598c1e38db00" 1196 | version = "0.1.3" 1197 | 1198 | [[deps.Requires]] 1199 | deps = ["UUIDs"] 1200 | git-tree-sha1 = "838a3a4188e2ded87a4f9f184b4b0d78a1e91cb7" 1201 | uuid = "ae029012-a4dd-5104-9daa-d747884805df" 1202 | version = "1.3.0" 1203 | 1204 | [[deps.Rmath]] 1205 | deps = ["Random", "Rmath_jll"] 1206 | git-tree-sha1 = "bf3188feca147ce108c76ad82c2792c57abe7b1f" 1207 | uuid = "79098fc4-a85e-5d69-aa6a-4863f24498fa" 1208 | version = "0.7.0" 1209 | 1210 | [[deps.Rmath_jll]] 1211 | deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] 1212 | git-tree-sha1 = "68db32dff12bb6127bac73c209881191bf0efbb7" 1213 | uuid = "f50d1b31-88e8-58de-be2c-1cc44531875f" 1214 | version = "0.3.0+0" 1215 | 1216 | [[deps.SHA]] 1217 | uuid = "ea8e919c-243c-51af-8825-aaa63cd721ce" 1218 | 1219 | [[deps.ScientificTypes]] 1220 | deps = ["CategoricalArrays", "ColorTypes", "Dates", "Distributions", "PrettyTables", "Reexport", "ScientificTypesBase", "StatisticalTraits", "Tables"] 1221 | git-tree-sha1 = "ba70c9a6e4c81cc3634e3e80bb8163ab5ef57eb8" 1222 | uuid = "321657f4-b219-11e9-178b-2701a2544e81" 1223 | version = "3.0.0" 1224 | 1225 | [[deps.ScientificTypesBase]] 1226 | git-tree-sha1 = "a8e18eb383b5ecf1b5e6fc237eb39255044fd92b" 1227 | uuid = "30f210dd-8aff-4c5f-94ba-8e64358c1161" 1228 | version = "3.0.0" 1229 | 1230 | [[deps.Scratch]] 1231 | deps = ["Dates"] 1232 | git-tree-sha1 = "0b4b7f1393cff97c33891da2a0bf69c6ed241fda" 1233 | uuid = "6c6a2e73-6563-6170-7368-637461726353" 1234 | version = "1.1.0" 1235 | 1236 | [[deps.Serialization]] 1237 | uuid = "9e88b42a-f829-5b0c-bbe9-9e923198166b" 1238 | 1239 | [[deps.Setfield]] 1240 | deps = ["ConstructionBase", "Future", "MacroTools", "Requires"] 1241 | git-tree-sha1 = "38d88503f695eb0301479bc9b0d4320b378bafe5" 1242 | uuid = "efcf1570-3423-57d1-acb7-fd33fddbac46" 1243 | version = "0.8.2" 1244 | 1245 | [[deps.SharedArrays]] 1246 | deps = ["Distributed", "Mmap", "Random", "Serialization"] 1247 | uuid = "1a1011a3-84de-559e-8e89-a11a2f7dc383" 1248 | 1249 | [[deps.Showoff]] 1250 | deps = ["Dates", "Grisu"] 1251 | git-tree-sha1 = "91eddf657aca81df9ae6ceb20b959ae5653ad1de" 1252 | uuid = "992d4aef-0814-514b-bc4d-f2e9a6c4116f" 1253 | version = "1.0.3" 1254 | 1255 | [[deps.SimpleTraits]] 1256 | deps = ["InteractiveUtils", "MacroTools"] 1257 | git-tree-sha1 = "5d7e3f4e11935503d3ecaf7186eac40602e7d231" 1258 | uuid = "699a6c99-e7fa-54fc-8d76-47d257e15c1d" 1259 | version = "0.9.4" 1260 | 1261 | [[deps.Sockets]] 1262 | uuid = "6462fe0b-24de-5631-8697-dd941f90decc" 1263 | 1264 | [[deps.SortingAlgorithms]] 1265 | deps = ["DataStructures"] 1266 | git-tree-sha1 = "b3363d7460f7d098ca0912c69b082f75625d7508" 1267 | uuid = "a2af1166-a08f-5f64-846c-94a0d3cef48c" 1268 | version = "1.0.1" 1269 | 1270 | [[deps.SparseArrays]] 1271 | deps = ["LinearAlgebra", "Random"] 1272 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1297 | 1298 | [[deps.StaticArrays]] 1299 | deps = ["LinearAlgebra", "Random", "StaticArraysCore", "Statistics"] 1300 | git-tree-sha1 = "9f8a5dc5944dc7fbbe6eb4180660935653b0a9d9" 1301 | uuid = "90137ffa-7385-5640-81b9-e52037218182" 1302 | version = "1.5.0" 1303 | 1304 | [[deps.StaticArraysCore]] 1305 | git-tree-sha1 = "66fe9eb253f910fe8cf161953880cfdaef01cdf0" 1306 | uuid = "1e83bf80-4336-4d27-bf5d-d5a4f845583c" 1307 | version = "1.0.1" 1308 | 1309 | [[deps.StatisticalTraits]] 1310 | deps = ["ScientificTypesBase"] 1311 | git-tree-sha1 = "271a7fea12d319f23d55b785c51f6876aadb9ac0" 1312 | uuid = "64bff920-2084-43da-a3e6-9bb72801c0c9" 1313 | version = "3.0.0" 1314 | 1315 | [[deps.Statistics]] 1316 | deps = ["LinearAlgebra", "SparseArrays"] 1317 | uuid = "10745b16-79ce-11e8-11f9-7d13ad32a3b2" 1318 | 1319 | [[deps.StatsAPI]] 1320 | deps = ["LinearAlgebra"] 1321 | git-tree-sha1 = "2c11d7290036fe7aac9038ff312d3b3a2a5bf89e" 1322 | uuid = "82ae8749-77ed-4fe6-ae5f-f523153014b0" 1323 | version = 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| version = "0.2.1" 1368 | 1369 | [[deps.TableTraits]] 1370 | deps = ["IteratorInterfaceExtensions"] 1371 | git-tree-sha1 = "c06b2f539df1c6efa794486abfb6ed2022561a39" 1372 | uuid = "3783bdb8-4a98-5b6b-af9a-565f29a5fe9c" 1373 | version = "1.0.1" 1374 | 1375 | [[deps.TableTransforms]] 1376 | deps = ["AbstractTrees", "CategoricalArrays", "Distributions", "LinearAlgebra", "PrettyTables", "Random", "ScientificTypes", "Statistics", "StatsBase", "Tables", "Transducers"] 1377 | git-tree-sha1 = "0a4e114098f3cc5590af8e9becd0d6185e0e392f" 1378 | uuid = "0d432bfd-3ee1-4ac1-886a-39f05cc69a3e" 1379 | version = "1.3.0" 1380 | 1381 | [[deps.Tables]] 1382 | deps = ["DataAPI", "DataValueInterfaces", "IteratorInterfaceExtensions", "LinearAlgebra", "OrderedCollections", "TableTraits", "Test"] 1383 | git-tree-sha1 = "5ce79ce186cc678bbb5c5681ca3379d1ddae11a1" 1384 | uuid = "bd369af6-aec1-5ad0-b16a-f7cc5008161c" 1385 | version = "1.7.0" 1386 | 1387 | [[deps.Tar]] 1388 | deps = ["ArgTools", "SHA"] 1389 | uuid 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"58443b63fb7e465a8a7210828c91c08b92132dff" 1480 | uuid = "02c8fc9c-b97f-50b9-bbe4-9be30ff0a78a" 1481 | version = "2.9.14+0" 1482 | 1483 | [[deps.XSLT_jll]] 1484 | deps = ["Artifacts", "JLLWrappers", "Libdl", "Libgcrypt_jll", "Libgpg_error_jll", "Libiconv_jll", "Pkg", "XML2_jll", "Zlib_jll"] 1485 | git-tree-sha1 = "91844873c4085240b95e795f692c4cec4d805f8a" 1486 | uuid = "aed1982a-8fda-507f-9586-7b0439959a61" 1487 | version = "1.1.34+0" 1488 | 1489 | [[deps.Xorg_libX11_jll]] 1490 | deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libxcb_jll", "Xorg_xtrans_jll"] 1491 | git-tree-sha1 = "5be649d550f3f4b95308bf0183b82e2582876527" 1492 | uuid = "4f6342f7-b3d2-589e-9d20-edeb45f2b2bc" 1493 | version = "1.6.9+4" 1494 | 1495 | [[deps.Xorg_libXau_jll]] 1496 | deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] 1497 | git-tree-sha1 = "4e490d5c960c314f33885790ed410ff3a94ce67e" 1498 | uuid = "0c0b7dd1-d40b-584c-a123-a41640f87eec" 1499 | version = "1.0.9+4" 1500 | 1501 | 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"Libdl", "Pkg", "Xorg_libX11_jll"] 1545 | git-tree-sha1 = "19560f30fd49f4d4efbe7002a1037f8c43d43b96" 1546 | uuid = "ea2f1a96-1ddc-540d-b46f-429655e07cfa" 1547 | version = "0.9.10+4" 1548 | 1549 | [[deps.Xorg_libpthread_stubs_jll]] 1550 | deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] 1551 | git-tree-sha1 = "6783737e45d3c59a4a4c4091f5f88cdcf0908cbb" 1552 | uuid = "14d82f49-176c-5ed1-bb49-ad3f5cbd8c74" 1553 | version = "0.1.0+3" 1554 | 1555 | [[deps.Xorg_libxcb_jll]] 1556 | deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "XSLT_jll", "Xorg_libXau_jll", "Xorg_libXdmcp_jll", "Xorg_libpthread_stubs_jll"] 1557 | git-tree-sha1 = "daf17f441228e7a3833846cd048892861cff16d6" 1558 | uuid = "c7cfdc94-dc32-55de-ac96-5a1b8d977c5b" 1559 | version = "1.13.0+3" 1560 | 1561 | [[deps.Xorg_libxkbfile_jll]] 1562 | deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libX11_jll"] 1563 | git-tree-sha1 = "926af861744212db0eb001d9e40b5d16292080b2" 1564 | uuid = "cc61e674-0454-545c-8b26-ed2c68acab7a" 1565 | version = "1.1.0+4" 1566 | 1567 | [[deps.Xorg_xcb_util_image_jll]] 1568 | deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_xcb_util_jll"] 1569 | git-tree-sha1 = "0fab0a40349ba1cba2c1da699243396ff8e94b97" 1570 | uuid = "12413925-8142-5f55-bb0e-6d7ca50bb09b" 1571 | version = "0.4.0+1" 1572 | 1573 | [[deps.Xorg_xcb_util_jll]] 1574 | deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libxcb_jll"] 1575 | git-tree-sha1 = "e7fd7b2881fa2eaa72717420894d3938177862d1" 1576 | uuid = "2def613f-5ad1-5310-b15b-b15d46f528f5" 1577 | version = "0.4.0+1" 1578 | 1579 | [[deps.Xorg_xcb_util_keysyms_jll]] 1580 | deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_xcb_util_jll"] 1581 | git-tree-sha1 = "d1151e2c45a544f32441a567d1690e701ec89b00" 1582 | uuid = "975044d2-76e6-5fbe-bf08-97ce7c6574c7" 1583 | version = "0.4.0+1" 1584 | 1585 | [[deps.Xorg_xcb_util_renderutil_jll]] 1586 | deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_xcb_util_jll"] 1587 | git-tree-sha1 = "dfd7a8f38d4613b6a575253b3174dd991ca6183e" 1588 | uuid = "0d47668e-0667-5a69-a72c-f761630bfb7e" 1589 | version = "0.3.9+1" 1590 | 1591 | [[deps.Xorg_xcb_util_wm_jll]] 1592 | deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_xcb_util_jll"] 1593 | git-tree-sha1 = "e78d10aab01a4a154142c5006ed44fd9e8e31b67" 1594 | uuid = "c22f9ab0-d5fe-5066-847c-f4bb1cd4e361" 1595 | version = "0.4.1+1" 1596 | 1597 | [[deps.Xorg_xkbcomp_jll]] 1598 | deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libxkbfile_jll"] 1599 | git-tree-sha1 = "4bcbf660f6c2e714f87e960a171b119d06ee163b" 1600 | uuid = "35661453-b289-5fab-8a00-3d9160c6a3a4" 1601 | version = "1.4.2+4" 1602 | 1603 | [[deps.Xorg_xkeyboard_config_jll]] 1604 | deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_xkbcomp_jll"] 1605 | git-tree-sha1 = "5c8424f8a67c3f2209646d4425f3d415fee5931d" 1606 | uuid = "33bec58e-1273-512f-9401-5d533626f822" 1607 | version = "2.27.0+4" 1608 | 1609 | [[deps.Xorg_xtrans_jll]] 1610 | deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] 1611 | git-tree-sha1 = "79c31e7844f6ecf779705fbc12146eb190b7d845" 1612 | uuid = "c5fb5394-a638-5e4d-96e5-b29de1b5cf10" 1613 | version = "1.4.0+3" 1614 | 1615 | [[deps.Zlib_jll]] 1616 | deps = ["Libdl"] 1617 | uuid = "83775a58-1f1d-513f-b197-d71354ab007a" 1618 | 1619 | [[deps.Zstd_jll]] 1620 | deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] 1621 | git-tree-sha1 = "e45044cd873ded54b6a5bac0eb5c971392cf1927" 1622 | uuid = "3161d3a3-bdf6-5164-811a-617609db77b4" 1623 | version = "1.5.2+0" 1624 | 1625 | [[deps.ZygoteRules]] 1626 | deps = ["MacroTools"] 1627 | git-tree-sha1 = "8c1a8e4dfacb1fd631745552c8db35d0deb09ea0" 1628 | uuid = "700de1a5-db45-46bc-99cf-38207098b444" 1629 | version = "0.2.2" 1630 | 1631 | [[deps.libass_jll]] 1632 | deps = ["Artifacts", "Bzip2_jll", "FreeType2_jll", "FriBidi_jll", "HarfBuzz_jll", "JLLWrappers", "Libdl", "Pkg", "Zlib_jll"] 1633 | git-tree-sha1 = "5982a94fcba20f02f42ace44b9894ee2b140fe47" 1634 | uuid = "0ac62f75-1d6f-5e53-bd7c-93b484bb37c0" 1635 | version = "0.15.1+0" 1636 | 1637 | [[deps.libblastrampoline_jll]] 1638 | deps = ["Artifacts", "Libdl", "OpenBLAS_jll"] 1639 | uuid = "8e850b90-86db-534c-a0d3-1478176c7d93" 1640 | 1641 | [[deps.libfdk_aac_jll]] 1642 | deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] 1643 | git-tree-sha1 = "daacc84a041563f965be61859a36e17c4e4fcd55" 1644 | uuid = "f638f0a6-7fb0-5443-88ba-1cc74229b280" 1645 | version = "2.0.2+0" 1646 | 1647 | [[deps.libpng_jll]] 1648 | deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Zlib_jll"] 1649 | git-tree-sha1 = "94d180a6d2b5e55e447e2d27a29ed04fe79eb30c" 1650 | uuid = "b53b4c65-9356-5827-b1ea-8c7a1a84506f" 1651 | version = "1.6.38+0" 1652 | 1653 | [[deps.libvorbis_jll]] 1654 | deps = ["Artifacts", "JLLWrappers", "Libdl", "Ogg_jll", "Pkg"] 1655 | git-tree-sha1 = "b910cb81ef3fe6e78bf6acee440bda86fd6ae00c" 1656 | uuid = "f27f6e37-5d2b-51aa-960f-b287f2bc3b7a" 1657 | version = "1.3.7+1" 1658 | 1659 | [[deps.nghttp2_jll]] 1660 | deps = ["Artifacts", "Libdl"] 1661 | uuid = "8e850ede-7688-5339-a07c-302acd2aaf8d" 1662 | 1663 | [[deps.p7zip_jll]] 1664 | deps = ["Artifacts", "Libdl"] 1665 | uuid = "3f19e933-33d8-53b3-aaab-bd5110c3b7a0" 1666 | 1667 | [[deps.x264_jll]] 1668 | deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] 1669 | git-tree-sha1 = "4fea590b89e6ec504593146bf8b988b2c00922b2" 1670 | uuid = "1270edf5-f2f9-52d2-97e9-ab00b5d0237a" 1671 | version = "2021.5.5+0" 1672 | 1673 | [[deps.x265_jll]] 1674 | deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] 1675 | git-tree-sha1 = "ee567a171cce03570d77ad3a43e90218e38937a9" 1676 | uuid = "dfaa095f-4041-5dcd-9319-2fabd8486b76" 1677 | version = "3.5.0+0" 1678 | 1679 | [[deps.xkbcommon_jll]] 1680 | deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Wayland_jll", "Wayland_protocols_jll", "Xorg_libxcb_jll", "Xorg_xkeyboard_config_jll"] 1681 | git-tree-sha1 = "ece2350174195bb31de1a63bea3a41ae1aa593b6" 1682 | uuid = "d8fb68d0-12a3-5cfd-a85a-d49703b185fd" 1683 | version = "0.9.1+5" 1684 | """ 1685 | 1686 | # ╔═╡ Cell order: 1687 | # ╠═fc7b9a21-34dd-40ba-9d57-9f785904e307 1688 | # ╟─b3fa8609-b27e-4ad2-9836-b7841d6a8db0 1689 | # ╠═61daf6c2-71a3-11eb-3810-ff67b544d72b 1690 | # ╟─700cff42-71a3-11eb-0bd0-43662099751a 1691 | # ╠═7cfdd530-71a3-11eb-212f-5f05c6e9a32b 1692 | # ╟─8195379e-71a3-11eb-007f-556d235edf2e 1693 | # ╠═87c0f5b0-71a3-11eb-2bd9-5b17609aa37e 1694 | # ╟─8caa48b0-71a3-11eb-13b6-ad167093b2b5 1695 | # ╠═943ce9c0-71a3-11eb-1f36-c1575df9d64d 1696 | # ╟─a39ee6c0-71a3-11eb-37a6-6b10b691816c 1697 | # ╠═98ad8a52-71a3-11eb-11f7-697f1f42f72e 1698 | # ╟─ac62b4d0-71a3-11eb-3f18-45756be15fba 1699 | # ╠═b43481c0-71a3-11eb-358e-6314ea693e5e 1700 | # ╟─c1813350-71a3-11eb-1d48-ab432f7a2f4b 1701 | # ╠═ca98edc0-71a3-11eb-25d8-bde416e1b51a 1702 | # ╟─d06dd940-71a3-11eb-25ba-5d1cf54e15e2 1703 | # ╠═e00676a0-71a3-11eb-1355-4b949a460052 1704 | # ╟─e79e47d0-71a3-11eb-1fa7-6da8d2f1a167 1705 | # ╠═ee764b70-71a3-11eb-2d35-43056ba7f528 1706 | # ╠═fad1e640-71a3-11eb-1518-0d2eb7b95875 1707 | # ╟─05b8944e-71a4-11eb-269a-cb9412e8e223 1708 | # ╠═fb8cea20-71a9-11eb-2a4c-4beb0a2f20d9 1709 | # ╟─00000000-0000-0000-0000-000000000001 1710 | # ╟─00000000-0000-0000-0000-000000000002 1711 | -------------------------------------------------------------------------------- /notebooks/variogram-modeling.jl: -------------------------------------------------------------------------------- 1 | ### A Pluto.jl notebook ### 2 | # v0.19.9 3 | 4 | using Markdown 5 | using InteractiveUtils 6 | 7 | # This Pluto notebook uses @bind for interactivity. When running this notebook outside of Pluto, the following 'mock version' of @bind gives bound variables a default value (instead of an error). 8 | macro bind(def, element) 9 | quote 10 | local iv = try Base.loaded_modules[Base.PkgId(Base.UUID("6e696c72-6542-2067-7265-42206c756150"), "AbstractPlutoDingetjes")].Bonds.initial_value catch; b -> missing; end 11 | local el = $(esc(element)) 12 | global $(esc(def)) = Core.applicable(Base.get, el) ? Base.get(el) : iv(el) 13 | el 14 | end 15 | end 16 | 17 | # ╔═╡ d7d22dfc-1fa1-11eb-08cb-398c0a942070 18 | begin 19 | # packages used in this notebook 20 | using GeoStats 21 | using GeoStatsImages 22 | using PlutoUI 23 | 24 | # default plot settings 25 | using Plots; gr(size=(700,400)) 26 | 27 | # make sure that results are reproducible 28 | using Random; Random.seed!(2017) 29 | end; 30 | 31 | # ╔═╡ cb75ca40-1840-11eb-07b6-65ffdf8b1480 32 | md""" 33 | # Variogram modeling 34 | 35 | In this tutorial we illustrate how to model variograms manually and with automatic fitting procedures. The workflow consists of two steps: 36 | 37 | 1. Calculation of empirical variogram from geospatial data 38 | 2. Fitting with sliders or with automatic procedures 39 | 40 | ## The data 41 | 42 | Let's consider a simple 2D problem in which properties of a field are sampled at random locations. We will be using an image of the Walker Lake in Nevada available in [GeoStatsImages.jl](https://github.com/JuliaEarth/GeoStatsImages.jl) as our field. We sample a thousand points from the image:""" 43 | 44 | # ╔═╡ 206af8a0-184a-11eb-2223-616291fcd27e 45 | begin 46 | 𝒟 = geostatsimage("WalkerLake") 47 | 48 | 𝒮 = sample(𝒟, 1000) 49 | 50 | plot(plot(𝒟), plot(𝒮)) 51 | end 52 | 53 | # ╔═╡ 1d0fd5d0-1841-11eb-271f-ab7825a69fec 54 | md"""## Empirical variogram 55 | 56 | We consider a simple omnidirectional variogram in this tutorial, and estimate it from the data by varying the number of lags (or bins):""" 57 | 58 | # ╔═╡ 2480c170-186a-11eb-021f-b7a99755a0d4 59 | md"nlags = $(@bind nlags Slider(1:30; default=15, show_value=true))" 60 | 61 | # ╔═╡ c0c8ad50-1841-11eb-18f7-37e327fd0ae5 62 | plot(EmpiricalVariogram(𝒮, :Z, nlags=nlags, maxlag=200.)) 63 | 64 | # ╔═╡ c74aefd0-1841-11eb-1865-dfaae510218d 65 | md"""Besides the variogram itself, GeoStats.jl presents the bin counts (scaled) as a measure of confidence about the estimated points. This frequency plot can be deactived by passing the option `showbins=false` to the plot command. We encourage users to keep the bin counts option activated as it has zero cost. 66 | 67 | This empirical variogram was constructed using the Euclidean distance between data locations. We can also specify a custom distance to estimate the variogram when points are embedded on different coordinate systems. Please consult the documentation for more distance functions. 68 | 69 | After interacting with the plot, we select a number of lags and proceed to fitting a theoretical model:""" 70 | 71 | # ╔═╡ d35b50d0-1841-11eb-0814-676fc99dc20d 72 | γₑ = EmpiricalVariogram(𝒮, :Z, nlags=30, maxlag=200.) 73 | 74 | # ╔═╡ d8ab2dd0-1841-11eb-3116-0fd157960d7e 75 | plot(γₑ) 76 | 77 | # ╔═╡ dd031640-1841-11eb-2fb7-f750c7369758 78 | md""" 79 | ## Theoretical variogram 80 | 81 | ### Manual fitting 82 | 83 | Various theoretical variogram models are available in GeoStats.jl, including a composite additive model that can be used to combine different variogram types. Please consult the documentation for more details. Here we will use a simple spherical variogram to illustrate manual fitting: 84 | """ 85 | 86 | # ╔═╡ 8be1d270-1868-11eb-09ec-697b71485822 87 | md"sill = $(@bind s Slider(range(0, stop=.1, length=50); default=0.05, show_value=true))" 88 | 89 | # ╔═╡ 50706cf0-1869-11eb-375f-9112e5f435e9 90 | md"range = $(@bind r Slider(range(0, stop=100., length=50); default=50.0, show_value=true))" 91 | 92 | # ╔═╡ 608a9660-1869-11eb-170f-699e74bd5a47 93 | md"nugget = $(@bind n Slider(range(0, stop=.1, length=50); default=0.05, show_value=true))" 94 | 95 | # ╔═╡ 824e62e0-1869-11eb-1d9b-4b650c21564f 96 | begin 97 | γ₁ = SphericalVariogram(sill=Float64(s), range=Float64(r), nugget=Float64(n)) 98 | 99 | plot(γₑ, label="empirical") 100 | plot!(γ₁, label="theoretical") 101 | end 102 | 103 | # ╔═╡ f067afc0-1841-11eb-3d48-e9e39922429c 104 | md"""After tuning the parameters of the theoretical variogram interactively, we plot the final result:""" 105 | 106 | # ╔═╡ f7a13450-1841-11eb-0829-0d76cd22c6e4 107 | begin 108 | γ₂ = SphericalVariogram(sill=0.079, range=42.857, nugget=0.006) 109 | plot(γₑ, label="empirical") 110 | plot!(γ₂, label="theoretical") 111 | end 112 | 113 | # ╔═╡ 124f09d0-1842-11eb-308f-d36056ffdc9a 114 | md""" 115 | ### Automatic fitting 116 | 117 | An alternative option to interactive variogram modeling is automatic fitting. We can fit a specific theoretical variogram model with: 118 | """ 119 | 120 | # ╔═╡ 1a702f40-1842-11eb-1ec9-4faf98e29997 121 | begin 122 | γ₃ = fit(SphericalVariogram, γₑ) 123 | 124 | plot(γₑ, label="empirical") 125 | plot!(γ₃, label="theoretical") 126 | end 127 | 128 | # ╔═╡ 2f3988e0-1842-11eb-0663-2bfccebc6320 129 | md"""or let GeoStats.jl pick the model with minimum weighted least squares error by passing the `Variogram` super type:""" 130 | 131 | # ╔═╡ 3e5d445e-1842-11eb-05bc-d98aa1f73728 132 | begin 133 | γ₄ = fit(Variogram, γₑ) 134 | 135 | plot(γₑ, label="empirical") 136 | plot!(γ₄, 0, 200, label="theoretical") 137 | end 138 | 139 | # ╔═╡ 49fabf52-1842-11eb-2266-7d8c574bb98a 140 | md"""which in this example turns out to be:""" 141 | 142 | # ╔═╡ 519109e0-1842-11eb-38d5-f150bb9ef89b 143 | γ₄ 144 | 145 | # ╔═╡ 583e05e0-1842-11eb-23fb-c3630190751c 146 | md""" 147 | ## Remarks 148 | 149 | - Variogram modeling is an important step in classical geostatistics. Some practioners prefer to model variograms interactively to enforce a specific type of spatial continuity, whereas others prefer to use automatic fitting procedures, which are guaranteed to minimize a given loss function. 150 | 151 | - Both approaches are available in GeoStats.jl, and are useful under different circumstances.""" 152 | 153 | # ╔═╡ 00000000-0000-0000-0000-000000000001 154 | PLUTO_PROJECT_TOML_CONTENTS = """ 155 | [deps] 156 | GeoStats = "dcc97b0b-8ce5-5539-9008-bb190f959ef6" 157 | GeoStatsImages = "7cd16168-b42c-5e7d-a585-4f59d326662d" 158 | Plots = "91a5bcdd-55d7-5caf-9e0b-520d859cae80" 159 | PlutoUI = "7f904dfe-b85e-4ff6-b463-dae2292396a8" 160 | Random = "9a3f8284-a2c9-5f02-9a11-845980a1fd5c" 161 | 162 | [compat] 163 | GeoStats = "~0.31.2" 164 | GeoStatsImages = "~0.6.1" 165 | Plots = "~1.25.10" 166 | PlutoUI = "~0.7.34" 167 | """ 168 | 169 | # ╔═╡ 00000000-0000-0000-0000-000000000002 170 | PLUTO_MANIFEST_TOML_CONTENTS = """ 171 | # This file is machine-generated - editing it directly is not advised 172 | 173 | julia_version = "1.7.2" 174 | manifest_format = "2.0" 175 | 176 | [[deps.AbstractFFTs]] 177 | deps = ["ChainRulesCore", "LinearAlgebra"] 178 | git-tree-sha1 = "8e9c3482c61d06343a6199814bf84f7df82f2b28" 179 | uuid = "621f4979-c628-5d54-868e-fcf4e3e8185c" 180 | version = "1.2.0" 181 | 182 | [[deps.AbstractPlutoDingetjes]] 183 | deps = ["Pkg"] 184 | git-tree-sha1 = "8eaf9f1b4921132a4cff3f36a1d9ba923b14a481" 185 | uuid = "6e696c72-6542-2067-7265-42206c756150" 186 | version = "1.1.4" 187 | 188 | [[deps.AbstractTrees]] 189 | git-tree-sha1 = "5c0b629df8a5566a06f5fef5100b53ea56e465a0" 190 | uuid = "1520ce14-60c1-5f80-bbc7-55ef81b5835c" 191 | version = "0.4.2" 192 | 193 | [[deps.Adapt]] 194 | deps = ["LinearAlgebra"] 195 | git-tree-sha1 = "af92965fb30777147966f58acb05da51c5616b5f" 196 | uuid = "79e6a3ab-5dfb-504d-930d-738a2a938a0e" 197 | version = "3.3.3" 198 | 199 | [[deps.ArgCheck]] 200 | git-tree-sha1 = "a3a402a35a2f7e0b87828ccabbd5ebfbebe356b4" 201 | uuid = "dce04be8-c92d-5529-be00-80e4d2c0e197" 202 | version = "2.3.0" 203 | 204 | [[deps.ArgTools]] 205 | uuid = "0dad84c5-d112-42e6-8d28-ef12dabb789f" 206 | 207 | [[deps.ArrayInterfaceCore]] 208 | deps = ["LinearAlgebra", "SparseArrays", "SuiteSparse"] 209 | git-tree-sha1 = "7d255eb1d2e409335835dc8624c35d97453011eb" 210 | uuid = "30b0a656-2188-435a-8636-2ec0e6a096e2" 211 | version = "0.1.14" 212 | 213 | [[deps.Artifacts]] 214 | uuid = "56f22d72-fd6d-98f1-02f0-08ddc0907c33" 215 | 216 | [[deps.AxisArrays]] 217 | deps = ["Dates", "IntervalSets", "IterTools", "RangeArrays"] 218 | git-tree-sha1 = "1dd4d9f5beebac0c03446918741b1a03dc5e5788" 219 | uuid = "39de3d68-74b9-583c-8d2d-e117c070f3a9" 220 | version = "0.4.6" 221 | 222 | [[deps.BangBang]] 223 | deps = ["Compat", "ConstructionBase", "Future", "InitialValues", "LinearAlgebra", "Requires", "Setfield", "Tables", "ZygoteRules"] 224 | git-tree-sha1 = "b15a6bc52594f5e4a3b825858d1089618871bf9d" 225 | uuid = "198e06fe-97b7-11e9-32a5-e1d131e6ad66" 226 | version = "0.3.36" 227 | 228 | [[deps.Base64]] 229 | uuid = "2a0f44e3-6c83-55bd-87e4-b1978d98bd5f" 230 | 231 | [[deps.Baselet]] 232 | git-tree-sha1 = "aebf55e6d7795e02ca500a689d326ac979aaf89e" 233 | uuid = "9718e550-a3fa-408a-8086-8db961cd8217" 234 | version = "0.1.1" 235 | 236 | [[deps.Bzip2_jll]] 237 | deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] 238 | git-tree-sha1 = "19a35467a82e236ff51bc17a3a44b69ef35185a2" 239 | uuid = "6e34b625-4abd-537c-b88f-471c36dfa7a0" 240 | version = "1.0.8+0" 241 | 242 | [[deps.CEnum]] 243 | git-tree-sha1 = "eb4cb44a499229b3b8426dcfb5dd85333951ff90" 244 | uuid = "fa961155-64e5-5f13-b03f-caf6b980ea82" 245 | version = "0.4.2" 246 | 247 | [[deps.Cairo_jll]] 248 | deps = ["Artifacts", "Bzip2_jll", "Fontconfig_jll", "FreeType2_jll", "Glib_jll", "JLLWrappers", "LZO_jll", "Libdl", "Pixman_jll", "Pkg", "Xorg_libXext_jll", "Xorg_libXrender_jll", "Zlib_jll", "libpng_jll"] 249 | git-tree-sha1 = "4b859a208b2397a7a623a03449e4636bdb17bcf2" 250 | uuid = "83423d85-b0ee-5818-9007-b63ccbeb887a" 251 | version = "1.16.1+1" 252 | 253 | [[deps.Calculus]] 254 | deps = ["LinearAlgebra"] 255 | git-tree-sha1 = "f641eb0a4f00c343bbc32346e1217b86f3ce9dad" 256 | uuid = "49dc2e85-a5d0-5ad3-a950-438e2897f1b9" 257 | version = "0.5.1" 258 | 259 | [[deps.CategoricalArrays]] 260 | deps = ["DataAPI", "Future", "Missings", "Printf", "Requires", "Statistics", "Unicode"] 261 | git-tree-sha1 = "5f5a975d996026a8dd877c35fe26a7b8179c02ba" 262 | uuid = "324d7699-5711-5eae-9e2f-1d82baa6b597" 263 | version = "0.10.6" 264 | 265 | [[deps.ChainRulesCore]] 266 | deps = ["Compat", "LinearAlgebra", "SparseArrays"] 267 | git-tree-sha1 = "2dd813e5f2f7eec2d1268c57cf2373d3ee91fcea" 268 | uuid = "d360d2e6-b24c-11e9-a2a3-2a2ae2dbcce4" 269 | version = "1.15.1" 270 | 271 | [[deps.ChangesOfVariables]] 272 | deps = ["ChainRulesCore", "LinearAlgebra", "Test"] 273 | git-tree-sha1 = "1e315e3f4b0b7ce40feded39c73049692126cf53" 274 | uuid = "9e997f8a-9a97-42d5-a9f1-ce6bfc15e2c0" 275 | version = "0.1.3" 276 | 277 | [[deps.CircularArrays]] 278 | deps = ["OffsetArrays"] 279 | git-tree-sha1 = "3587fdbecba8c44f7e7285a1957182711b95f580" 280 | uuid = "7a955b69-7140-5f4e-a0ed-f168c5e2e749" 281 | version = "1.3.1" 282 | 283 | [[deps.Clustering]] 284 | deps = ["Distances", "LinearAlgebra", "NearestNeighbors", "Printf", "SparseArrays", "Statistics", "StatsBase"] 285 | git-tree-sha1 = "75479b7df4167267d75294d14b58244695beb2ac" 286 | uuid = "aaaa29a8-35af-508c-8bc3-b662a17a0fe5" 287 | version = "0.14.2" 288 | 289 | [[deps.CoDa]] 290 | deps = ["AxisArrays", "Distances", "Distributions", "FillArrays", "LinearAlgebra", "Printf", "Random", "ScientificTypes", "StaticArrays", "Statistics", "StatsBase", "TableTransforms", "Tables", "UnicodePlots"] 291 | git-tree-sha1 = "8a97fd3541bfff45a387435c50cff4472be3d6c8" 292 | uuid = "5900dafe-f573-5c72-b367-76665857777b" 293 | version = "1.0.0" 294 | 295 | [[deps.ColorSchemes]] 296 | deps = ["ColorTypes", "ColorVectorSpace", "Colors", "FixedPointNumbers", "Random"] 297 | git-tree-sha1 = "1fd869cc3875b57347f7027521f561cf46d1fcd8" 298 | uuid = "35d6a980-a343-548e-a6ea-1d62b119f2f4" 299 | version = "3.19.0" 300 | 301 | [[deps.ColorTypes]] 302 | deps = ["FixedPointNumbers", "Random"] 303 | git-tree-sha1 = "eb7f0f8307f71fac7c606984ea5fb2817275d6e4" 304 | uuid = "3da002f7-5984-5a60-b8a6-cbb66c0b333f" 305 | version = "0.11.4" 306 | 307 | [[deps.ColorVectorSpace]] 308 | deps = ["ColorTypes", "FixedPointNumbers", "LinearAlgebra", "SpecialFunctions", "Statistics", "TensorCore"] 309 | git-tree-sha1 = "d08c20eef1f2cbc6e60fd3612ac4340b89fea322" 310 | uuid = "c3611d14-8923-5661-9e6a-0046d554d3a4" 311 | version = "0.9.9" 312 | 313 | [[deps.Colors]] 314 | deps = ["ColorTypes", "FixedPointNumbers", "Reexport"] 315 | git-tree-sha1 = "417b0ed7b8b838aa6ca0a87aadf1bb9eb111ce40" 316 | uuid = "5ae59095-9a9b-59fe-a467-6f913c188581" 317 | version = "0.12.8" 318 | 319 | [[deps.Combinatorics]] 320 | git-tree-sha1 = "08c8b6831dc00bfea825826be0bc8336fc369860" 321 | uuid = "861a8166-3701-5b0c-9a16-15d98fcdc6aa" 322 | version = "1.0.2" 323 | 324 | [[deps.CommonSubexpressions]] 325 | deps = ["MacroTools", "Test"] 326 | git-tree-sha1 = "7b8a93dba8af7e3b42fecabf646260105ac373f7" 327 | uuid = "bbf7d656-a473-5ed7-a52c-81e309532950" 328 | version = "0.3.0" 329 | 330 | [[deps.Compat]] 331 | deps = ["Base64", "Dates", "DelimitedFiles", "Distributed", "InteractiveUtils", "LibGit2", "Libdl", "LinearAlgebra", "Markdown", "Mmap", "Pkg", "Printf", "REPL", "Random", "SHA", "Serialization", "SharedArrays", "Sockets", "SparseArrays", "Statistics", "Test", "UUIDs", "Unicode"] 332 | git-tree-sha1 = "9be8be1d8a6f44b96482c8af52238ea7987da3e3" 333 | uuid = "34da2185-b29b-5c13-b0c7-acf172513d20" 334 | version = "3.45.0" 335 | 336 | [[deps.CompilerSupportLibraries_jll]] 337 | deps = ["Artifacts", "Libdl"] 338 | uuid = "e66e0078-7015-5450-92f7-15fbd957f2ae" 339 | 340 | [[deps.CompositionsBase]] 341 | git-tree-sha1 = "455419f7e328a1a2493cabc6428d79e951349769" 342 | uuid = "a33af91c-f02d-484b-be07-31d278c5ca2b" 343 | version = "0.1.1" 344 | 345 | [[deps.ConstructionBase]] 346 | deps = ["LinearAlgebra"] 347 | git-tree-sha1 = "c096d0e321368ac23eb1be1ea405814f8b32adb3" 348 | uuid = "187b0558-2788-49d3-abe0-74a17ed4e7c9" 349 | version = "1.3.1" 350 | 351 | [[deps.Contour]] 352 | deps = ["StaticArrays"] 353 | git-tree-sha1 = "9f02045d934dc030edad45944ea80dbd1f0ebea7" 354 | uuid = "d38c429a-6771-53c6-b99e-75d170b6e991" 355 | version = "0.5.7" 356 | 357 | [[deps.CpuId]] 358 | deps = ["Markdown"] 359 | git-tree-sha1 = "fcbb72b032692610bfbdb15018ac16a36cf2e406" 360 | uuid = "adafc99b-e345-5852-983c-f28acb93d879" 361 | version = "0.3.1" 362 | 363 | [[deps.Crayons]] 364 | git-tree-sha1 = "249fe38abf76d48563e2f4556bebd215aa317e15" 365 | uuid = "a8cc5b0e-0ffa-5ad4-8c14-923d3ee1735f" 366 | version = "4.1.1" 367 | 368 | [[deps.DataAPI]] 369 | git-tree-sha1 = 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["InverseFunctions", "Test"] 399 | git-tree-sha1 = "80c3e8639e3353e5d2912fb3a1916b8455e2494b" 400 | uuid = "b429d917-457f-4dbc-8f4c-0cc954292b1d" 401 | version = "0.4.0" 402 | 403 | [[deps.DensityRatioEstimation]] 404 | deps = ["LinearAlgebra", "Parameters", "Random", "Requires", "Statistics", "StatsBase"] 405 | git-tree-sha1 = "5eff3192daa4f956f553ebcffa582a9e8d1db9e8" 406 | uuid = "ab46fb84-d57c-11e9-2f65-6f72e4a7229f" 407 | version = "0.5.1" 408 | 409 | [[deps.Dictionaries]] 410 | deps = ["Indexing", "Random"] 411 | git-tree-sha1 = "7669d53b75e9f9e2fa32d5215cb2af348b2c13e2" 412 | uuid = "85a47980-9c8c-11e8-2b9f-f7ca1fa99fb4" 413 | version = "0.3.21" 414 | 415 | [[deps.DiffResults]] 416 | deps = ["StaticArrays"] 417 | git-tree-sha1 = "c18e98cba888c6c25d1c3b048e4b3380ca956805" 418 | uuid = "163ba53b-c6d8-5494-b064-1a9d43ac40c5" 419 | version = "1.0.3" 420 | 421 | [[deps.DiffRules]] 422 | deps = ["IrrationalConstants", "LogExpFunctions", "NaNMath", "Random", "SpecialFunctions"] 423 | git-tree-sha1 = "28d605d9a0ac17118fe2c5e9ce0fbb76c3ceb120" 424 | uuid = "b552c78f-8df3-52c6-915a-8e097449b14b" 425 | version = "1.11.0" 426 | 427 | [[deps.Distances]] 428 | deps = ["LinearAlgebra", "SparseArrays", "Statistics", "StatsAPI"] 429 | git-tree-sha1 = "3258d0659f812acde79e8a74b11f17ac06d0ca04" 430 | uuid = "b4f34e82-e78d-54a5-968a-f98e89d6e8f7" 431 | version = "0.10.7" 432 | 433 | [[deps.Distributed]] 434 | deps = ["Random", "Serialization", "Sockets"] 435 | uuid = "8ba89e20-285c-5b6f-9357-94700520ee1b" 436 | 437 | [[deps.Distributions]] 438 | deps = ["ChainRulesCore", "DensityInterface", "FillArrays", "LinearAlgebra", "PDMats", "Printf", "QuadGK", "Random", "SparseArrays", "SpecialFunctions", "Statistics", "StatsBase", "StatsFuns", "Test"] 439 | git-tree-sha1 = "0597dffe1268516192ff4ddebdb4d8937254512d" 440 | uuid = "31c24e10-a181-5473-b8eb-7969acd0382f" 441 | version = "0.25.63" 442 | 443 | [[deps.DocStringExtensions]] 444 | deps = ["LibGit2"] 445 | git-tree-sha1 = 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1015 | [[deps.OpenSpecFun_jll]] 1016 | deps = ["Artifacts", "CompilerSupportLibraries_jll", "JLLWrappers", "Libdl", "Pkg"] 1017 | git-tree-sha1 = "13652491f6856acfd2db29360e1bbcd4565d04f1" 1018 | uuid = "efe28fd5-8261-553b-a9e1-b2916fc3738e" 1019 | version = "0.5.5+0" 1020 | 1021 | [[deps.Optim]] 1022 | deps = ["Compat", "FillArrays", "ForwardDiff", "LineSearches", "LinearAlgebra", "NLSolversBase", "NaNMath", "Parameters", "PositiveFactorizations", "Printf", "SparseArrays", "StatsBase"] 1023 | git-tree-sha1 = "7a28efc8e34d5df89fc87343318b0a8add2c4021" 1024 | uuid = "429524aa-4258-5aef-a3af-852621145aeb" 1025 | version = "1.7.0" 1026 | 1027 | [[deps.Opus_jll]] 1028 | deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] 1029 | git-tree-sha1 = "51a08fb14ec28da2ec7a927c4337e4332c2a4720" 1030 | uuid = "91d4177d-7536-5919-b921-800302f37372" 1031 | version = "1.3.2+0" 1032 | 1033 | [[deps.OrderedCollections]] 1034 | git-tree-sha1 = "85f8e6578bf1f9ee0d11e7bb1b1456435479d47c" 1035 | uuid = 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1063 | deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] 1064 | git-tree-sha1 = "b4f5d02549a10e20780a24fce72bea96b6329e29" 1065 | uuid = "30392449-352a-5448-841d-b1acce4e97dc" 1066 | version = "0.40.1+0" 1067 | 1068 | [[deps.Pkg]] 1069 | deps = ["Artifacts", "Dates", "Downloads", "LibGit2", "Libdl", "Logging", "Markdown", "Printf", "REPL", "Random", "SHA", "Serialization", "TOML", "Tar", "UUIDs", "p7zip_jll"] 1070 | uuid = "44cfe95a-1eb2-52ea-b672-e2afdf69b78f" 1071 | 1072 | [[deps.PlotThemes]] 1073 | deps = ["PlotUtils", "Requires", "Statistics"] 1074 | git-tree-sha1 = "a3a964ce9dc7898193536002a6dd892b1b5a6f1d" 1075 | uuid = "ccf2f8ad-2431-5c83-bf29-c5338b663b6a" 1076 | version = "2.0.1" 1077 | 1078 | [[deps.PlotUtils]] 1079 | deps = ["ColorSchemes", "Colors", "Dates", "Printf", "Random", "Reexport", "Statistics"] 1080 | git-tree-sha1 = "9888e59493658e476d3073f1ce24348bdc086660" 1081 | uuid = "995b91a9-d308-5afd-9ec6-746e21dbc043" 1082 | version = "1.3.0" 1083 | 1084 | 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[[deps.Qt5Base_jll]] 1125 | deps = ["Artifacts", "CompilerSupportLibraries_jll", "Fontconfig_jll", "Glib_jll", "JLLWrappers", "Libdl", "Libglvnd_jll", "OpenSSL_jll", "Pkg", "Xorg_libXext_jll", "Xorg_libxcb_jll", "Xorg_xcb_util_image_jll", "Xorg_xcb_util_keysyms_jll", "Xorg_xcb_util_renderutil_jll", "Xorg_xcb_util_wm_jll", "Zlib_jll", "xkbcommon_jll"] 1126 | git-tree-sha1 = "c6c0f690d0cc7caddb74cef7aa847b824a16b256" 1127 | uuid = "ea2cea3b-5b76-57ae-a6ef-0a8af62496e1" 1128 | version = "5.15.3+1" 1129 | 1130 | [[deps.QuadGK]] 1131 | deps = ["DataStructures", "LinearAlgebra"] 1132 | git-tree-sha1 = "78aadffb3efd2155af139781b8a8df1ef279ea39" 1133 | uuid = "1fd47b50-473d-5c70-9696-f719f8f3bcdc" 1134 | version = "2.4.2" 1135 | 1136 | [[deps.REPL]] 1137 | deps = ["InteractiveUtils", "Markdown", "Sockets", "Unicode"] 1138 | uuid = "3fa0cd96-eef1-5676-8a61-b3b8758bbffb" 1139 | 1140 | [[deps.Random]] 1141 | deps = ["SHA", "Serialization"] 1142 | uuid = "9a3f8284-a2c9-5f02-9a11-845980a1fd5c" 1143 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git-tree-sha1 = "4fe47bd2247248125c428978740e18a681372dd4" 1476 | uuid = "a3789734-cfe1-5b06-b2d0-1dd0d9d62d05" 1477 | version = "1.1.3+4" 1478 | 1479 | [[deps.Xorg_libXext_jll]] 1480 | deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libX11_jll"] 1481 | git-tree-sha1 = "b7c0aa8c376b31e4852b360222848637f481f8c3" 1482 | uuid = "1082639a-0dae-5f34-9b06-72781eeb8cb3" 1483 | version = "1.3.4+4" 1484 | 1485 | [[deps.Xorg_libXfixes_jll]] 1486 | deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libX11_jll"] 1487 | git-tree-sha1 = "0e0dc7431e7a0587559f9294aeec269471c991a4" 1488 | uuid = "d091e8ba-531a-589c-9de9-94069b037ed8" 1489 | version = "5.0.3+4" 1490 | 1491 | [[deps.Xorg_libXi_jll]] 1492 | deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libXext_jll", "Xorg_libXfixes_jll"] 1493 | git-tree-sha1 = "89b52bc2160aadc84d707093930ef0bffa641246" 1494 | uuid = "a51aa0fd-4e3c-5386-b890-e753decda492" 1495 | version = "1.7.10+4" 1496 | 1497 | [[deps.Xorg_libXinerama_jll]] 1498 | deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libXext_jll"] 1499 | git-tree-sha1 = "26be8b1c342929259317d8b9f7b53bf2bb73b123" 1500 | uuid = "d1454406-59df-5ea1-beac-c340f2130bc3" 1501 | version = "1.1.4+4" 1502 | 1503 | [[deps.Xorg_libXrandr_jll]] 1504 | deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libXext_jll", "Xorg_libXrender_jll"] 1505 | git-tree-sha1 = "34cea83cb726fb58f325887bf0612c6b3fb17631" 1506 | uuid = "ec84b674-ba8e-5d96-8ba1-2a689ba10484" 1507 | version = "1.5.2+4" 1508 | 1509 | [[deps.Xorg_libXrender_jll]] 1510 | deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libX11_jll"] 1511 | git-tree-sha1 = "19560f30fd49f4d4efbe7002a1037f8c43d43b96" 1512 | uuid = "ea2f1a96-1ddc-540d-b46f-429655e07cfa" 1513 | version = "0.9.10+4" 1514 | 1515 | [[deps.Xorg_libpthread_stubs_jll]] 1516 | deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] 1517 | git-tree-sha1 = "6783737e45d3c59a4a4c4091f5f88cdcf0908cbb" 1518 | uuid = "14d82f49-176c-5ed1-bb49-ad3f5cbd8c74" 1519 | version = "0.1.0+3" 1520 | 1521 | [[deps.Xorg_libxcb_jll]] 1522 | deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "XSLT_jll", "Xorg_libXau_jll", "Xorg_libXdmcp_jll", "Xorg_libpthread_stubs_jll"] 1523 | git-tree-sha1 = "daf17f441228e7a3833846cd048892861cff16d6" 1524 | uuid = "c7cfdc94-dc32-55de-ac96-5a1b8d977c5b" 1525 | version = "1.13.0+3" 1526 | 1527 | [[deps.Xorg_libxkbfile_jll]] 1528 | deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libX11_jll"] 1529 | git-tree-sha1 = "926af861744212db0eb001d9e40b5d16292080b2" 1530 | uuid = "cc61e674-0454-545c-8b26-ed2c68acab7a" 1531 | version = "1.1.0+4" 1532 | 1533 | [[deps.Xorg_xcb_util_image_jll]] 1534 | deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_xcb_util_jll"] 1535 | git-tree-sha1 = "0fab0a40349ba1cba2c1da699243396ff8e94b97" 1536 | uuid = "12413925-8142-5f55-bb0e-6d7ca50bb09b" 1537 | version = "0.4.0+1" 1538 | 1539 | [[deps.Xorg_xcb_util_jll]] 1540 | deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libxcb_jll"] 1541 | git-tree-sha1 = "e7fd7b2881fa2eaa72717420894d3938177862d1" 1542 | uuid = "2def613f-5ad1-5310-b15b-b15d46f528f5" 1543 | version = "0.4.0+1" 1544 | 1545 | [[deps.Xorg_xcb_util_keysyms_jll]] 1546 | deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_xcb_util_jll"] 1547 | git-tree-sha1 = "d1151e2c45a544f32441a567d1690e701ec89b00" 1548 | uuid = "975044d2-76e6-5fbe-bf08-97ce7c6574c7" 1549 | version = "0.4.0+1" 1550 | 1551 | [[deps.Xorg_xcb_util_renderutil_jll]] 1552 | deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_xcb_util_jll"] 1553 | git-tree-sha1 = "dfd7a8f38d4613b6a575253b3174dd991ca6183e" 1554 | uuid = "0d47668e-0667-5a69-a72c-f761630bfb7e" 1555 | version = "0.3.9+1" 1556 | 1557 | [[deps.Xorg_xcb_util_wm_jll]] 1558 | deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_xcb_util_jll"] 1559 | git-tree-sha1 = "e78d10aab01a4a154142c5006ed44fd9e8e31b67" 1560 | uuid = "c22f9ab0-d5fe-5066-847c-f4bb1cd4e361" 1561 | version = "0.4.1+1" 1562 | 1563 | [[deps.Xorg_xkbcomp_jll]] 1564 | deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libxkbfile_jll"] 1565 | git-tree-sha1 = "4bcbf660f6c2e714f87e960a171b119d06ee163b" 1566 | uuid = "35661453-b289-5fab-8a00-3d9160c6a3a4" 1567 | version = "1.4.2+4" 1568 | 1569 | [[deps.Xorg_xkeyboard_config_jll]] 1570 | deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_xkbcomp_jll"] 1571 | git-tree-sha1 = "5c8424f8a67c3f2209646d4425f3d415fee5931d" 1572 | uuid = "33bec58e-1273-512f-9401-5d533626f822" 1573 | version = "2.27.0+4" 1574 | 1575 | [[deps.Xorg_xtrans_jll]] 1576 | deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] 1577 | git-tree-sha1 = "79c31e7844f6ecf779705fbc12146eb190b7d845" 1578 | uuid = "c5fb5394-a638-5e4d-96e5-b29de1b5cf10" 1579 | version = "1.4.0+3" 1580 | 1581 | [[deps.Zlib_jll]] 1582 | deps = ["Libdl"] 1583 | uuid = "83775a58-1f1d-513f-b197-d71354ab007a" 1584 | 1585 | [[deps.Zstd_jll]] 1586 | deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] 1587 | git-tree-sha1 = "e45044cd873ded54b6a5bac0eb5c971392cf1927" 1588 | uuid = "3161d3a3-bdf6-5164-811a-617609db77b4" 1589 | version = "1.5.2+0" 1590 | 1591 | [[deps.ZygoteRules]] 1592 | deps = ["MacroTools"] 1593 | git-tree-sha1 = "8c1a8e4dfacb1fd631745552c8db35d0deb09ea0" 1594 | uuid = "700de1a5-db45-46bc-99cf-38207098b444" 1595 | version = "0.2.2" 1596 | 1597 | [[deps.libass_jll]] 1598 | deps = ["Artifacts", "Bzip2_jll", "FreeType2_jll", "FriBidi_jll", "HarfBuzz_jll", "JLLWrappers", "Libdl", "Pkg", "Zlib_jll"] 1599 | git-tree-sha1 = "5982a94fcba20f02f42ace44b9894ee2b140fe47" 1600 | uuid = "0ac62f75-1d6f-5e53-bd7c-93b484bb37c0" 1601 | version = "0.15.1+0" 1602 | 1603 | [[deps.libblastrampoline_jll]] 1604 | deps = ["Artifacts", "Libdl", "OpenBLAS_jll"] 1605 | uuid = "8e850b90-86db-534c-a0d3-1478176c7d93" 1606 | 1607 | [[deps.libfdk_aac_jll]] 1608 | deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] 1609 | git-tree-sha1 = "daacc84a041563f965be61859a36e17c4e4fcd55" 1610 | uuid = "f638f0a6-7fb0-5443-88ba-1cc74229b280" 1611 | version = "2.0.2+0" 1612 | 1613 | [[deps.libpng_jll]] 1614 | deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Zlib_jll"] 1615 | git-tree-sha1 = "94d180a6d2b5e55e447e2d27a29ed04fe79eb30c" 1616 | uuid = "b53b4c65-9356-5827-b1ea-8c7a1a84506f" 1617 | version = "1.6.38+0" 1618 | 1619 | [[deps.libvorbis_jll]] 1620 | deps = ["Artifacts", "JLLWrappers", "Libdl", "Ogg_jll", "Pkg"] 1621 | git-tree-sha1 = "b910cb81ef3fe6e78bf6acee440bda86fd6ae00c" 1622 | uuid = "f27f6e37-5d2b-51aa-960f-b287f2bc3b7a" 1623 | version = "1.3.7+1" 1624 | 1625 | [[deps.nghttp2_jll]] 1626 | deps = ["Artifacts", "Libdl"] 1627 | uuid = "8e850ede-7688-5339-a07c-302acd2aaf8d" 1628 | 1629 | [[deps.p7zip_jll]] 1630 | deps = ["Artifacts", "Libdl"] 1631 | uuid = "3f19e933-33d8-53b3-aaab-bd5110c3b7a0" 1632 | 1633 | [[deps.x264_jll]] 1634 | deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] 1635 | git-tree-sha1 = "4fea590b89e6ec504593146bf8b988b2c00922b2" 1636 | uuid = "1270edf5-f2f9-52d2-97e9-ab00b5d0237a" 1637 | version = "2021.5.5+0" 1638 | 1639 | [[deps.x265_jll]] 1640 | deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] 1641 | git-tree-sha1 = "ee567a171cce03570d77ad3a43e90218e38937a9" 1642 | uuid = "dfaa095f-4041-5dcd-9319-2fabd8486b76" 1643 | version = "3.5.0+0" 1644 | 1645 | [[deps.xkbcommon_jll]] 1646 | deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Wayland_jll", "Wayland_protocols_jll", "Xorg_libxcb_jll", "Xorg_xkeyboard_config_jll"] 1647 | git-tree-sha1 = "ece2350174195bb31de1a63bea3a41ae1aa593b6" 1648 | uuid = "d8fb68d0-12a3-5cfd-a85a-d49703b185fd" 1649 | version = "0.9.1+5" 1650 | """ 1651 | 1652 | # ╔═╡ Cell order: 1653 | # ╠═d7d22dfc-1fa1-11eb-08cb-398c0a942070 1654 | # ╟─cb75ca40-1840-11eb-07b6-65ffdf8b1480 1655 | # ╠═206af8a0-184a-11eb-2223-616291fcd27e 1656 | # ╟─1d0fd5d0-1841-11eb-271f-ab7825a69fec 1657 | # ╟─2480c170-186a-11eb-021f-b7a99755a0d4 1658 | # ╠═c0c8ad50-1841-11eb-18f7-37e327fd0ae5 1659 | # ╟─c74aefd0-1841-11eb-1865-dfaae510218d 1660 | # ╠═d35b50d0-1841-11eb-0814-676fc99dc20d 1661 | # ╠═d8ab2dd0-1841-11eb-3116-0fd157960d7e 1662 | # ╟─dd031640-1841-11eb-2fb7-f750c7369758 1663 | # ╟─8be1d270-1868-11eb-09ec-697b71485822 1664 | # ╟─50706cf0-1869-11eb-375f-9112e5f435e9 1665 | # ╟─608a9660-1869-11eb-170f-699e74bd5a47 1666 | # ╠═824e62e0-1869-11eb-1d9b-4b650c21564f 1667 | # ╟─f067afc0-1841-11eb-3d48-e9e39922429c 1668 | # ╠═f7a13450-1841-11eb-0829-0d76cd22c6e4 1669 | # ╟─124f09d0-1842-11eb-308f-d36056ffdc9a 1670 | # ╠═1a702f40-1842-11eb-1ec9-4faf98e29997 1671 | # ╟─2f3988e0-1842-11eb-0663-2bfccebc6320 1672 | # ╠═3e5d445e-1842-11eb-05bc-d98aa1f73728 1673 | # ╟─49fabf52-1842-11eb-2266-7d8c574bb98a 1674 | # ╠═519109e0-1842-11eb-38d5-f150bb9ef89b 1675 | # ╟─583e05e0-1842-11eb-23fb-c3630190751c 1676 | # ╟─00000000-0000-0000-0000-000000000001 1677 | # ╟─00000000-0000-0000-0000-000000000002 1678 | --------------------------------------------------------------------------------