Last updated: 2021-05-12

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Knit directory: emlr_obs_v_XXX/

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1 Data sources

Cant estimates from this sensitivity case:

  • Mean and SD per grid cell (lat, lon, depth)
  • Zonal mean and SD (basin, lat, depth)
  • Inventories (lat, lon)
cant_3d <-
  read_csv(paste(path_version_data,
                 "cant_3d.csv",
                 sep = ""))

cant_zonal <-
  read_csv(paste(path_version_data,
                 "cant_zonal.csv",
                 sep = ""))

cant_zonal_mod_truth <-
  read_csv(paste(path_version_data,
                 "cant_zonal_mod_truth.csv",
                 sep = ""))

cant_zonal <- bind_rows(cant_zonal,
                        cant_zonal_mod_truth)

cant_inv <-
  read_csv(paste(path_version_data,
                 "cant_inv.csv",
                 sep = ""))

2 Cant variability

2.1 Across models

Standard deviation across Cant from all MLR models was calculate for each grid cell (XYZ). The zonal mean of this standard deviation should reflect the uncertainty associated to the predictor selection within each slab and era.

# i_data_source <- unique(cant_zonal$data_source)[1]
# i_basin_AIP <- unique(cant_zonal$basin_AIP)[2]

for (i_basin_AIP in unique(cant_zonal$basin_AIP)) {
  for (i_data_source in unique(cant_zonal$data_source)) {
    print(
      p_section_zonal(
        df = cant_zonal %>%
          filter(basin_AIP == i_basin_AIP,
                 data_source == i_data_source),
        var = "cant_sd_mean",
        gamma = "gamma_mean",
        legend_title = "sd",
        title_text = "Zonal mean section of SD across models",
        subtitle_text =
          paste("Basin:", i_basin_AIP, "| data_source:", i_data_source))
    )
    
  }
}

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Version Author Date
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2.2 Across basins

Standard deviation of mean cant values was calculate across all longitudes. This standard deviation should reflect the zonal variability of cant within the basin and era.

# i_data_source <- unique(cant_zonal$data_source)[1]
# i_basin_AIP <- unique(cant_zonal$basin_AIP)[2]

for (i_basin_AIP in unique(cant_zonal$basin_AIP)) {
  for (i_data_source in unique(cant_zonal$data_source)) {
    print(
      p_section_zonal(
        df = cant_zonal %>%
          filter(basin_AIP == i_basin_AIP,
                 data_source == i_data_source),
        var = "cant_sd",
        gamma = "gamma_mean",
        legend_title = "sd",
        title_text = "Zonal mean section of Cant SD",
        subtitle_text =
          paste("Basin:", i_basin_AIP, "| data_source:", i_data_source))
    )
    
  }
}

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Version Author Date
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2.3 Correlation

2.3.1 Cant vs model SD

2.3.1.1 Era vs basin

cant_3d %>% 
  ggplot(aes(cant, cant_sd)) +
  geom_vline(xintercept = 0) +
  geom_hline(yintercept = 10) +
  geom_bin2d() +
  scale_fill_viridis_c(option = "magma",
                       
                       trans = "log10",
                       name = "log10(n)") +
  facet_grid(basin_AIP ~ data_source)

Version Author Date
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2.3.1.2 Basin vs gamma

cant_3d %>%
  group_split(basin_AIP) %>%
  map(
    ~ ggplot(data = .x, aes(cant, cant_sd)) +
      geom_vline(xintercept = 0) +
      geom_hline(yintercept = 10) +
      geom_bin2d() +
      scale_fill_viridis_c(
        option = "magma",
        
        trans = "log10",
        name = "log10(n)"
      ) +
      facet_grid(gamma_slab ~ data_source) +
      labs(title = paste("Basin:", unique(.x$basin_AIP)))
  )
[[1]]

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20b26d4 jens-daniel-mueller 2021-04-08
5f234c1 jens-daniel-mueller 2021-04-07

[[2]]

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0a6099c jens-daniel-mueller 2021-04-16
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[[3]]

Version Author Date
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c0a47df jens-daniel-mueller 2021-04-16
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a00ec94 jens-daniel-mueller 2021-04-16
b6fe355 jens-daniel-mueller 2021-04-16
81b7c6d jens-daniel-mueller 2021-04-16
0a6099c jens-daniel-mueller 2021-04-16
ddec5b7 jens-daniel-mueller 2021-04-15
29edae5 jens-daniel-mueller 2021-04-14
099d566 jens-daniel-mueller 2021-04-14
bb44686 jens-daniel-mueller 2021-04-14
bf40480 jens-daniel-mueller 2021-04-13
9f31fe3 jens-daniel-mueller 2021-04-13
12e538b jens-daniel-mueller 2021-04-13
3a0c7b9 jens-daniel-mueller 2021-04-13

2.3.2 Cant vs regional SD

2.3.2.1 Era vs basin

cant_zonal %>% 
  ggplot(aes(cant_mean, cant_sd)) +
  geom_vline(xintercept = 0) +
  geom_hline(yintercept = 10) +
  geom_bin2d() +
  scale_fill_viridis_c(option = "magma",
                       
                       trans = "log10",
                       name = "log10(n)") +
  facet_grid(basin_AIP ~ data_source)

Version Author Date
d2a83bc jens-daniel-mueller 2021-04-16
c0a47df jens-daniel-mueller 2021-04-16
50290e8 jens-daniel-mueller 2021-04-16
a00ec94 jens-daniel-mueller 2021-04-16
b6fe355 jens-daniel-mueller 2021-04-16
81b7c6d jens-daniel-mueller 2021-04-16
0a6099c jens-daniel-mueller 2021-04-16
ddec5b7 jens-daniel-mueller 2021-04-15
29edae5 jens-daniel-mueller 2021-04-14
099d566 jens-daniel-mueller 2021-04-14
bb44686 jens-daniel-mueller 2021-04-14
bf40480 jens-daniel-mueller 2021-04-13
9f31fe3 jens-daniel-mueller 2021-04-13
12e538b jens-daniel-mueller 2021-04-13
3a0c7b9 jens-daniel-mueller 2021-04-13
338dd3c jens-daniel-mueller 2021-04-09
a79ca2c jens-daniel-mueller 2021-04-09
20b26d4 jens-daniel-mueller 2021-04-08
5f234c1 jens-daniel-mueller 2021-04-07

2.3.2.2 Era vs basin

cant_zonal %>%
  group_split(basin_AIP) %>%
  map(
    ~ ggplot(data = .x, aes(cant_mean, cant_sd)) +
      geom_vline(xintercept = 0) +
      geom_hline(yintercept = 10) +
      scale_fill_viridis_c(
        option = "magma",
        
        trans = "log10"
      ) +
      geom_bin2d() +
      facet_grid(gamma_slab ~ data_source)  +
      labs(title = paste("Basin:", unique(.x$basin_AIP)))
  )
[[1]]

Version Author Date
d2a83bc jens-daniel-mueller 2021-04-16
c0a47df jens-daniel-mueller 2021-04-16
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a00ec94 jens-daniel-mueller 2021-04-16
b6fe355 jens-daniel-mueller 2021-04-16
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ddec5b7 jens-daniel-mueller 2021-04-15
29edae5 jens-daniel-mueller 2021-04-14
099d566 jens-daniel-mueller 2021-04-14
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bf40480 jens-daniel-mueller 2021-04-13
9f31fe3 jens-daniel-mueller 2021-04-13
12e538b jens-daniel-mueller 2021-04-13
97a3c78 jens-daniel-mueller 2021-04-13
3a0c7b9 jens-daniel-mueller 2021-04-13
338dd3c jens-daniel-mueller 2021-04-09
a79ca2c jens-daniel-mueller 2021-04-09
20b26d4 jens-daniel-mueller 2021-04-08
5f234c1 jens-daniel-mueller 2021-04-07

[[2]]

Version Author Date
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c0a47df jens-daniel-mueller 2021-04-16
50290e8 jens-daniel-mueller 2021-04-16
a00ec94 jens-daniel-mueller 2021-04-16
b6fe355 jens-daniel-mueller 2021-04-16
81b7c6d jens-daniel-mueller 2021-04-16
0a6099c jens-daniel-mueller 2021-04-16
ddec5b7 jens-daniel-mueller 2021-04-15
29edae5 jens-daniel-mueller 2021-04-14
099d566 jens-daniel-mueller 2021-04-14
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9f31fe3 jens-daniel-mueller 2021-04-13
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[[3]]

Version Author Date
d2a83bc jens-daniel-mueller 2021-04-16
c0a47df jens-daniel-mueller 2021-04-16
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b6fe355 jens-daniel-mueller 2021-04-16
81b7c6d jens-daniel-mueller 2021-04-16
0a6099c jens-daniel-mueller 2021-04-16
ddec5b7 jens-daniel-mueller 2021-04-15
29edae5 jens-daniel-mueller 2021-04-14
099d566 jens-daniel-mueller 2021-04-14
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9f31fe3 jens-daniel-mueller 2021-04-13
12e538b jens-daniel-mueller 2021-04-13
97a3c78 jens-daniel-mueller 2021-04-13
3a0c7b9 jens-daniel-mueller 2021-04-13

2.3.3 Cant bias vs model SD

cant_3d_mod_truth <-
  read_csv(paste(path_version_data,
                 "cant_3d_mod_truth.csv",
                 sep = ""))

cant_3d <- bind_rows(cant_3d,
                     cant_3d_mod_truth)


cant_3d_bias <- cant_3d %>%
  filter(data_source %in% c("mod", "mod_truth")) %>%
  select(lat, lon, depth, data_source, basin_AIP, gamma_slab, cant) %>%
  pivot_wider(names_from = data_source,
              values_from = cant) %>%
  mutate(cant_bias = mod - mod_truth)

cant_3d_bias_sd <- cant_3d %>% 
  filter(data_source %in% c("mod")) %>%
  select(lat, lon, depth, cant, cant_sd)

cant_3d_bias <- full_join(cant_3d_bias, cant_3d_bias_sd)

cant_3d_bias %>%
  ggplot(aes(cant_sd, cant_bias)) +
  geom_vline(xintercept = 0) +
  geom_hline(yintercept = 0) +
  scale_fill_viridis_c(option = "magma",
                       
                       trans = "log10") +
  geom_bin2d()

Version Author Date
d2a83bc jens-daniel-mueller 2021-04-16
c0a47df jens-daniel-mueller 2021-04-16
50290e8 jens-daniel-mueller 2021-04-16
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97a3c78 jens-daniel-mueller 2021-04-13
8ea8542 jens-daniel-mueller 2021-04-13
cant_3d_bias %>%
  ggplot(aes(cant_sd, cant_bias)) +
  geom_vline(xintercept = 0) +
  geom_hline(yintercept = 0) +
  scale_fill_viridis_c(option = "magma",
                       
                       trans = "log10") +
  geom_bin2d() +
  facet_grid(gamma_slab ~ basin_AIP)

Version Author Date
d2a83bc jens-daniel-mueller 2021-04-16
c0a47df jens-daniel-mueller 2021-04-16
50290e8 jens-daniel-mueller 2021-04-16
a00ec94 jens-daniel-mueller 2021-04-16
b6fe355 jens-daniel-mueller 2021-04-16
81b7c6d jens-daniel-mueller 2021-04-16
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9f31fe3 jens-daniel-mueller 2021-04-13
12e538b jens-daniel-mueller 2021-04-13
97a3c78 jens-daniel-mueller 2021-04-13
8ea8542 jens-daniel-mueller 2021-04-13

2.3.4 Cant bias vs cant

cant_3d_bias %>%
  ggplot(aes(cant, cant_bias)) +
  geom_vline(xintercept = 0) +
  geom_hline(yintercept = 0) +
  scale_fill_viridis_c(option = "magma",
                       
                       trans = "log10") +
  geom_bin2d()

Version Author Date
d2a83bc jens-daniel-mueller 2021-04-16
c0a47df jens-daniel-mueller 2021-04-16
50290e8 jens-daniel-mueller 2021-04-16
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cant_3d_bias %>%
  ggplot(aes(cant, cant_bias)) +
  geom_vline(xintercept = 0) +
  geom_hline(yintercept = 0) +
  scale_fill_viridis_c(option = "magma",
                       
                       trans = "log10") +
  geom_bin2d() +
  facet_grid(gamma_slab ~ basin_AIP)

Version Author Date
d2a83bc jens-daniel-mueller 2021-04-16
c0a47df jens-daniel-mueller 2021-04-16
50290e8 jens-daniel-mueller 2021-04-16
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sessionInfo()
R version 4.0.3 (2020-10-10)
Platform: x86_64-pc-linux-gnu (64-bit)
Running under: openSUSE Leap 15.2

Matrix products: default
BLAS:   /usr/local/R-4.0.3/lib64/R/lib/libRblas.so
LAPACK: /usr/local/R-4.0.3/lib64/R/lib/libRlapack.so

locale:
 [1] LC_CTYPE=en_US.UTF-8       LC_NUMERIC=C              
 [3] LC_TIME=en_US.UTF-8        LC_COLLATE=en_US.UTF-8    
 [5] LC_MONETARY=en_US.UTF-8    LC_MESSAGES=en_US.UTF-8   
 [7] LC_PAPER=en_US.UTF-8       LC_NAME=C                 
 [9] LC_ADDRESS=C               LC_TELEPHONE=C            
[11] LC_MEASUREMENT=en_US.UTF-8 LC_IDENTIFICATION=C       

attached base packages:
[1] stats     graphics  grDevices utils     datasets  methods   base     

other attached packages:
 [1] gt_0.2.2         kableExtra_1.3.1 marelac_2.1.10   shape_1.4.5     
 [5] scales_1.1.1     metR_0.9.0       scico_1.2.0      patchwork_1.1.1 
 [9] collapse_1.5.0   forcats_0.5.0    stringr_1.4.0    dplyr_1.0.5     
[13] purrr_0.3.4      readr_1.4.0      tidyr_1.1.2      tibble_3.0.4    
[17] ggplot2_3.3.3    tidyverse_1.3.0  workflowr_1.6.2 

loaded via a namespace (and not attached):
 [1] fs_1.5.0                 lubridate_1.7.9          gsw_1.0-5               
 [4] webshot_0.5.2            httr_1.4.2               rprojroot_2.0.2         
 [7] tools_4.0.3              backports_1.1.10         R6_2.5.0                
[10] DBI_1.1.0                colorspace_1.4-1         withr_2.3.0             
[13] tidyselect_1.1.0         compiler_4.0.3           git2r_0.27.1            
[16] cli_2.1.0                rvest_0.3.6              xml2_1.3.2              
[19] isoband_0.2.2            labeling_0.4.2           checkmate_2.0.0         
[22] digest_0.6.27            rmarkdown_2.5            oce_1.2-0               
[25] pkgconfig_2.0.3          htmltools_0.5.0          dbplyr_1.4.4            
[28] rlang_0.4.10             readxl_1.3.1             rstudioapi_0.13         
[31] farver_2.0.3             generics_0.0.2           jsonlite_1.7.1          
[34] magrittr_1.5             Matrix_1.2-18            Rcpp_1.0.5              
[37] munsell_0.5.0            fansi_0.4.1              lifecycle_1.0.0         
[40] stringi_1.5.3            whisker_0.4              yaml_2.2.1              
[43] plyr_1.8.6               grid_4.0.3               blob_1.2.1              
[46] parallel_4.0.3           promises_1.1.1           crayon_1.3.4            
[49] lattice_0.20-41          haven_2.3.1              hms_0.5.3               
[52] seacarb_3.2.14           knitr_1.30               pillar_1.4.7            
[55] reprex_0.3.0             glue_1.4.2               evaluate_0.14           
[58] RcppArmadillo_0.10.1.2.0 data.table_1.13.2        modelr_0.1.8            
[61] vctrs_0.3.5              httpuv_1.5.4             testthat_2.3.2          
[64] cellranger_1.1.0         gtable_0.3.0             assertthat_0.2.1        
[67] xfun_0.18                broom_0.7.5              RcppEigen_0.3.3.7.0     
[70] later_1.1.0.1            viridisLite_0.3.0        memoise_1.1.0           
[73] ellipsis_0.3.1           here_0.1