Analysis of cant estimates

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Last updated: 2020-12-02

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Knit directory: emlr_obs_v_XXX/

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---

path_functions      <- "/nfs/kryo/work/updata/emlr_cant/utilities/functions/"
path_files          <- "/nfs/kryo/work/updata/emlr_cant/utilities/files/"

path_preprocessing    <-
  "/nfs/kryo/work/updata/emlr_cant/observations/preprocessing/"

path_version_data     <-
  paste(
    "/nfs/kryo/work/updata/emlr_cant/observations/",
    params_local$Version_ID,
    "/data/",
    sep = ""
  )

path_version_figures  <-
  paste(
    "/nfs/kryo/work/updata/emlr_cant/observations/",
    params_local$Version_ID,
    "/figures/",
    sep = ""
  )

1 Libraries

Loading libraries specific to the the analysis performed in this section.

library(scales)
library(marelac)
library(kableExtra)

2 Data sources

cant estimates from this study:

• 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_predictor_zonal <-
  read_csv(paste(path_version_data,
                 "cant_predictor_zonal.csv",
                 sep = ""))

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

C* estimates from this study:

• Mean and SD per grid cell (lat, lon, depth)
• Zonal mean and SD (basin, lat, depth)

cstar_3d <-
  read_csv(paste(path_version_data,
                 "cstar_3d.csv",
                 sep = ""))

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

Cleaned GLODAPv2_2020 file as used in this study

GLODAP <-
  read_csv(paste(
    path_version_data,
    "GLODAPv2.2020_MLR_fitting_ready.csv",
    sep = ""
  ))

3 C_ant budgets

Global C_ant inventories were estimated in units of Pg C. Please note that here we only added positive C_ant values in the upper 3000m and do not apply additional corrections for areas not covered.

cant_inv_budget <- cant_inv %>% 
  mutate(surface_area = earth_surf(lat, lon),
         cant_inv_grid = cant_inv*surface_area) %>% 
  group_by(eras, basin_AIP) %>% 
  summarise(cant_total = sum(cant_inv_grid)*12*1e-15,
            cant_total = round(cant_total,1)) %>% 
  ungroup() %>% 
  arrange(desc(eras)) %>% 
  pivot_wider(values_from = cant_total, names_from = basin_AIP) %>% 
  mutate(total = Atlantic + Indian + Pacific)

cant_inv_budget %>% 
  kableExtra::kable() %>% 
  add_header_above() %>%
  kable_styling(full_width = FALSE)

eras	Atlantic	Indian	Pacific	total
(1999,2012] –> (2012,Inf]	7.3	3.8	14.7	25.8
(1981,1999] –> (1999,2012]	10.9	10.1	17.4	38.4

rm(cant_inv_budget)

4 C_ant - positive

In a first series of plots we explore the distribution of cant, taking only positive estimates into account (positive here refers to the mean cant estimate across 10 eMLR model predictions available for each grid cell). Negative values were set to zero before calculating mean sections and inventories.

4.1 Zonal mean sections

# i_basin_AIP <- unique(cant_zonal$basin_AIP)[2]
# i_eras <- unique(cant_zonal$eras)[1]

for (i_basin_AIP in unique(cant_zonal$basin_AIP)) {
  for (i_eras in unique(cant_zonal$eras)) {
   
     print(
      p_section_zonal(
        df = cant_zonal %>%
          filter(basin_AIP == i_basin_AIP,
                 eras == i_eras),
        var = "cant_pos_mean",
        subtitle_text =
          paste("Basin:", i_basin_AIP, "| eras:", i_eras))
    )
    
  }
}

Past versions of cant_pos_zonal_mean_sections-1.png

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9eb4281	jens-daniel-mueller	2020-12-02
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bc61ce3	Jens Müller	2020-11-30

Past versions of cant_pos_zonal_mean_sections-2.png

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Past versions of cant_pos_zonal_mean_sections-3.png

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Past versions of cant_pos_zonal_mean_sections-4.png

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4.2 Isoneutral slab distribution

Mean of positive cant within each horizontal grid cell (lon x lat) per isoneutral slab.

Please note that:

• density slabs covering values >28.1 occur by definition only either in the Atlantic or Indo-Pacific basin
• gaps in the maps represent areas where (thin) density layers fit between discrete depth levels used for mapping

cant_gamma_maps <- m_cant_slab(cant_3d)

cant_gamma_maps <- cant_gamma_maps %>% 
  arrange(gamma_slab, eras)

# i_eras <- unique(cant_gamma_maps$eras)[1]
# i_gamma_slab <- unique(cant_gamma_maps$gamma_slab)[1]

for (i_eras in unique(cant_gamma_maps$eras)) {
  for (i_gamma_slab in unique(cant_gamma_maps$gamma_slab)) {
    print(
      p_map_cant_slab(
        df = cant_gamma_maps %>%
          filter(eras == i_eras,
                 gamma_slab == i_gamma_slab),
        subtitle_text = paste(
          "Eras:", i_eras,
          "| Neutral density:", i_gamma_slab)
        )
    )
    
  }
}

Past versions of cant_pos_gamma_slab_maps-1.png

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Past versions of cant_pos_gamma_slab_maps-2.png

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4.3 Inventory map

Column inventory of positive cant between the surface and 3000m water depth per horizontal grid cell (lat x lon).

# i_eras <- unique(cant_inv$eras)[1]

for (i_eras in unique(cant_inv$eras)) {
  
  print(
    p_map_cant_inv(
      df = cant_inv %>% filter(eras == i_eras),
      var = "cant_pos_inv",
      subtitle_text = paste("Eras:", i_eras))
  )
  
}

Past versions of cant_pos_inventory_map-1.png

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4.4 Global sections

for (i_eras in unique(cant_3d$eras)) {
  print(
    p_section_global(
      df = cant_3d %>% filter(eras == i_eras),
      var = "cant_pos",
      subtitle_text = paste("Eras:", i_eras)
    )
  )
  
}

Past versions of cant_sections_positive_mean_one_lon_JGOFS_GO-1.png

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5 Cant - all

In a second series of plots we explore the distribution of cant, taking positive and negative estimates into account.

5.1 Zonal mean sections

# i_eras <- unique(cant_zonal$eras)[1]
# i_basin_AIP <- unique(cant_zonal$basin_AIP)[1]

for (i_basin_AIP in unique(cant_zonal$basin_AIP)) {
  for (i_eras in unique(cant_zonal$eras)) {
    print(
      p_section_zonal(
        df = cant_zonal %>%
          filter(basin_AIP == i_basin_AIP,
                 eras == i_eras),
        var = "cant_mean",
        gamma = "gamma_mean",
        breaks = params_global$breaks_cant,
        col = "divergent",
        subtitle_text =
          paste("Basin:", i_basin_AIP, "| eras:", i_eras))
    )
    
  }
}

Past versions of cant_all_zonal_mean_sections-1.png

Version	Author	Date
9eb4281	jens-daniel-mueller	2020-12-02
902f65a	jens-daniel-mueller	2020-12-02
ee9bf6d	jens-daniel-mueller	2020-12-01
0ff728b	jens-daniel-mueller	2020-12-01
92edddb	jens-daniel-mueller	2020-12-01
196be51	jens-daniel-mueller	2020-11-30
bc61ce3	Jens Müller	2020-11-30

Past versions of cant_all_zonal_mean_sections-2.png

Version	Author	Date
9eb4281	jens-daniel-mueller	2020-12-02
902f65a	jens-daniel-mueller	2020-12-02
ee9bf6d	jens-daniel-mueller	2020-12-01
0ff728b	jens-daniel-mueller	2020-12-01
92edddb	jens-daniel-mueller	2020-12-01
196be51	jens-daniel-mueller	2020-11-30
bc61ce3	Jens Müller	2020-11-30

Past versions of cant_all_zonal_mean_sections-3.png

Version	Author	Date
9eb4281	jens-daniel-mueller	2020-12-02
902f65a	jens-daniel-mueller	2020-12-02
ee9bf6d	jens-daniel-mueller	2020-12-01
0ff728b	jens-daniel-mueller	2020-12-01
92edddb	jens-daniel-mueller	2020-12-01
196be51	jens-daniel-mueller	2020-11-30
bc61ce3	Jens Müller	2020-11-30

Past versions of cant_all_zonal_mean_sections-4.png

Version	Author	Date
9eb4281	jens-daniel-mueller	2020-12-02
902f65a	jens-daniel-mueller	2020-12-02
ee9bf6d	jens-daniel-mueller	2020-12-01
0ff728b	jens-daniel-mueller	2020-12-01
92edddb	jens-daniel-mueller	2020-12-01
196be51	jens-daniel-mueller	2020-11-30
bc61ce3	Jens Müller	2020-11-30

Past versions of cant_all_zonal_mean_sections-5.png

Version	Author	Date
9eb4281	jens-daniel-mueller	2020-12-02
902f65a	jens-daniel-mueller	2020-12-02
ee9bf6d	jens-daniel-mueller	2020-12-01
0ff728b	jens-daniel-mueller	2020-12-01
92edddb	jens-daniel-mueller	2020-12-01
196be51	jens-daniel-mueller	2020-11-30
bc61ce3	Jens Müller	2020-11-30

Past versions of cant_all_zonal_mean_sections-6.png

Version	Author	Date
9eb4281	jens-daniel-mueller	2020-12-02
902f65a	jens-daniel-mueller	2020-12-02
ee9bf6d	jens-daniel-mueller	2020-12-01
0ff728b	jens-daniel-mueller	2020-12-01
92edddb	jens-daniel-mueller	2020-12-01
196be51	jens-daniel-mueller	2020-11-30
bc61ce3	Jens Müller	2020-11-30

5.2 Isoneutral slab distribution

Mean of cant within each horizontal grid cell (lon x lat) per isoneutral slab.

Please note that:

• density slabs covering values >28.1 occur by definition only either in the Atlantic or Indo-Pacific basin
• gaps in the maps represent areas where (thin) density layers fit between discrete depth levels used for mapping

# i_eras <- unique(cant_gamma_maps$eras)[1]
# i_gamma_slab <- unique(cant_gamma_maps$gamma_slab)[5]

for (i_eras in unique(cant_gamma_maps$eras)) {
  for (i_gamma_slab in unique(cant_gamma_maps$gamma_slab)) {
    print(
      p_map_cant_slab(
        df = cant_gamma_maps %>%
          filter(eras == i_eras,
                 gamma_slab == i_gamma_slab),
        var = "cant",
        col = "divergent",
        subtitle_text = paste(
          "Eras:", i_eras,
          "| Neutral density:", i_gamma_slab))
    )
    
  }
}

Past versions of cant_all_gamma_slab_maps-1.png

Version	Author	Date
0ff728b	jens-daniel-mueller	2020-12-01
92edddb	jens-daniel-mueller	2020-12-01
196be51	jens-daniel-mueller	2020-11-30
bc61ce3	Jens Müller	2020-11-30

Past versions of cant_all_gamma_slab_maps-2.png

Version	Author	Date
0ff728b	jens-daniel-mueller	2020-12-01
92edddb	jens-daniel-mueller	2020-12-01
196be51	jens-daniel-mueller	2020-11-30
bc61ce3	Jens Müller	2020-11-30

Past versions of cant_all_gamma_slab_maps-3.png

Version	Author	Date
902f65a	jens-daniel-mueller	2020-12-02
0ff728b	jens-daniel-mueller	2020-12-01
92edddb	jens-daniel-mueller	2020-12-01
196be51	jens-daniel-mueller	2020-11-30
bc61ce3	Jens Müller	2020-11-30

Past versions of cant_all_gamma_slab_maps-4.png

Version	Author	Date
0ff728b	jens-daniel-mueller	2020-12-01
92edddb	jens-daniel-mueller	2020-12-01
196be51	jens-daniel-mueller	2020-11-30
bc61ce3	Jens Müller	2020-11-30

Past versions of cant_all_gamma_slab_maps-5.png

Version	Author	Date
902f65a	jens-daniel-mueller	2020-12-02
0ff728b	jens-daniel-mueller	2020-12-01
92edddb	jens-daniel-mueller	2020-12-01
196be51	jens-daniel-mueller	2020-11-30
bc61ce3	Jens Müller	2020-11-30

Past versions of cant_all_gamma_slab_maps-6.png

Version	Author	Date
902f65a	jens-daniel-mueller	2020-12-02
0ff728b	jens-daniel-mueller	2020-12-01
92edddb	jens-daniel-mueller	2020-12-01
196be51	jens-daniel-mueller	2020-11-30
bc61ce3	Jens Müller	2020-11-30

Past versions of cant_all_gamma_slab_maps-7.png

Version	Author	Date
902f65a	jens-daniel-mueller	2020-12-02
0ff728b	jens-daniel-mueller	2020-12-01
92edddb	jens-daniel-mueller	2020-12-01
196be51	jens-daniel-mueller	2020-11-30
bc61ce3	Jens Müller	2020-11-30

Past versions of cant_all_gamma_slab_maps-8.png

Version	Author	Date
902f65a	jens-daniel-mueller	2020-12-02
0ff728b	jens-daniel-mueller	2020-12-01
92edddb	jens-daniel-mueller	2020-12-01
196be51	jens-daniel-mueller	2020-11-30
bc61ce3	Jens Müller	2020-11-30

Past versions of cant_all_gamma_slab_maps-9.png

Version	Author	Date
0ff728b	jens-daniel-mueller	2020-12-01
92edddb	jens-daniel-mueller	2020-12-01
196be51	jens-daniel-mueller	2020-11-30
bc61ce3	Jens Müller	2020-11-30

Past versions of cant_all_gamma_slab_maps-10.png

Version	Author	Date
0ff728b	jens-daniel-mueller	2020-12-01
92edddb	jens-daniel-mueller	2020-12-01
196be51	jens-daniel-mueller	2020-11-30
bc61ce3	Jens Müller	2020-11-30

Past versions of cant_all_gamma_slab_maps-11.png

Version	Author	Date
0ff728b	jens-daniel-mueller	2020-12-01
92edddb	jens-daniel-mueller	2020-12-01
196be51	jens-daniel-mueller	2020-11-30
bc61ce3	Jens Müller	2020-11-30

Past versions of cant_all_gamma_slab_maps-12.png

Version	Author	Date
0ff728b	jens-daniel-mueller	2020-12-01
92edddb	jens-daniel-mueller	2020-12-01
196be51	jens-daniel-mueller	2020-11-30
bc61ce3	Jens Müller	2020-11-30

Past versions of cant_all_gamma_slab_maps-13.png

Version	Author	Date
0ff728b	jens-daniel-mueller	2020-12-01
92edddb	jens-daniel-mueller	2020-12-01
196be51	jens-daniel-mueller	2020-11-30
bc61ce3	Jens Müller	2020-11-30

Past versions of cant_all_gamma_slab_maps-14.png

Version	Author	Date
902f65a	jens-daniel-mueller	2020-12-02
0ff728b	jens-daniel-mueller	2020-12-01
92edddb	jens-daniel-mueller	2020-12-01
196be51	jens-daniel-mueller	2020-11-30
bc61ce3	Jens Müller	2020-11-30

Past versions of cant_all_gamma_slab_maps-15.png

Version	Author	Date
0ff728b	jens-daniel-mueller	2020-12-01
92edddb	jens-daniel-mueller	2020-12-01
196be51	jens-daniel-mueller	2020-11-30
bc61ce3	Jens Müller	2020-11-30

Past versions of cant_all_gamma_slab_maps-16.png

Version	Author	Date
902f65a	jens-daniel-mueller	2020-12-02
0ff728b	jens-daniel-mueller	2020-12-01
92edddb	jens-daniel-mueller	2020-12-01
196be51	jens-daniel-mueller	2020-11-30
bc61ce3	Jens Müller	2020-11-30

Past versions of cant_all_gamma_slab_maps-17.png

Version	Author	Date
902f65a	jens-daniel-mueller	2020-12-02
0ff728b	jens-daniel-mueller	2020-12-01
92edddb	jens-daniel-mueller	2020-12-01
196be51	jens-daniel-mueller	2020-11-30
bc61ce3	Jens Müller	2020-11-30

Past versions of cant_all_gamma_slab_maps-18.png

Version	Author	Date
902f65a	jens-daniel-mueller	2020-12-02
0ff728b	jens-daniel-mueller	2020-12-01
92edddb	jens-daniel-mueller	2020-12-01
196be51	jens-daniel-mueller	2020-11-30
bc61ce3	Jens Müller	2020-11-30

Past versions of cant_all_gamma_slab_maps-19.png

Version	Author	Date
0ff728b	jens-daniel-mueller	2020-12-01
92edddb	jens-daniel-mueller	2020-12-01
196be51	jens-daniel-mueller	2020-11-30
bc61ce3	Jens Müller	2020-11-30

Past versions of cant_all_gamma_slab_maps-20.png

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902f65a	jens-daniel-mueller	2020-12-02
0ff728b	jens-daniel-mueller	2020-12-01
92edddb	jens-daniel-mueller	2020-12-01
196be51	jens-daniel-mueller	2020-11-30
bc61ce3	Jens Müller	2020-11-30

Past versions of cant_all_gamma_slab_maps-21.png

Version	Author	Date
902f65a	jens-daniel-mueller	2020-12-02
0ff728b	jens-daniel-mueller	2020-12-01
92edddb	jens-daniel-mueller	2020-12-01
196be51	jens-daniel-mueller	2020-11-30
bc61ce3	Jens Müller	2020-11-30

Past versions of cant_all_gamma_slab_maps-22.png

Version	Author	Date
902f65a	jens-daniel-mueller	2020-12-02
0ff728b	jens-daniel-mueller	2020-12-01
92edddb	jens-daniel-mueller	2020-12-01
196be51	jens-daniel-mueller	2020-11-30
bc61ce3	Jens Müller	2020-11-30

Past versions of cant_all_gamma_slab_maps-23.png

Version	Author	Date
902f65a	jens-daniel-mueller	2020-12-02
0ff728b	jens-daniel-mueller	2020-12-01
92edddb	jens-daniel-mueller	2020-12-01
196be51	jens-daniel-mueller	2020-11-30
bc61ce3	Jens Müller	2020-11-30

Past versions of cant_all_gamma_slab_maps-24.png

Version	Author	Date
902f65a	jens-daniel-mueller	2020-12-02
0ff728b	jens-daniel-mueller	2020-12-01
92edddb	jens-daniel-mueller	2020-12-01
196be51	jens-daniel-mueller	2020-11-30
bc61ce3	Jens Müller	2020-11-30

Past versions of cant_all_gamma_slab_maps-25.png

Version	Author	Date
902f65a	jens-daniel-mueller	2020-12-02
0ff728b	jens-daniel-mueller	2020-12-01
92edddb	jens-daniel-mueller	2020-12-01
196be51	jens-daniel-mueller	2020-11-30
bc61ce3	Jens Müller	2020-11-30

Past versions of cant_all_gamma_slab_maps-26.png

Version	Author	Date
902f65a	jens-daniel-mueller	2020-12-02
0ff728b	jens-daniel-mueller	2020-12-01
92edddb	jens-daniel-mueller	2020-12-01
196be51	jens-daniel-mueller	2020-11-30
bc61ce3	Jens Müller	2020-11-30

Past versions of cant_all_gamma_slab_maps-27.png

Version	Author	Date
0ff728b	jens-daniel-mueller	2020-12-01
92edddb	jens-daniel-mueller	2020-12-01
196be51	jens-daniel-mueller	2020-11-30
bc61ce3	Jens Müller	2020-11-30

Past versions of cant_all_gamma_slab_maps-28.png

Version	Author	Date
0ff728b	jens-daniel-mueller	2020-12-01
92edddb	jens-daniel-mueller	2020-12-01
196be51	jens-daniel-mueller	2020-11-30
bc61ce3	Jens Müller	2020-11-30

Past versions of cant_all_gamma_slab_maps-29.png

Version	Author	Date
902f65a	jens-daniel-mueller	2020-12-02
0ff728b	jens-daniel-mueller	2020-12-01
92edddb	jens-daniel-mueller	2020-12-01
196be51	jens-daniel-mueller	2020-11-30
bc61ce3	Jens Müller	2020-11-30

Past versions of cant_all_gamma_slab_maps-30.png

Version	Author	Date
902f65a	jens-daniel-mueller	2020-12-02
0ff728b	jens-daniel-mueller	2020-12-01
92edddb	jens-daniel-mueller	2020-12-01
196be51	jens-daniel-mueller	2020-11-30
bc61ce3	Jens Müller	2020-11-30

5.3 Inventory map

Column inventory of positive cant between the surface and 3000m water depth per horizontal grid cell (lat x lon).

# i_eras <- unique(cant_inv$eras)[1]

for (i_eras in unique(cant_inv$eras)) {
  
  print(
    p_map_cant_inv(
      df = cant_inv %>% filter(eras == i_eras),
      var = "cant_inv",
      col = "divergent",
      subtitle_text = paste("Eras:", i_eras))
  )
  
}

Past versions of cant_all_inventory_map-1.png

Version	Author	Date
902f65a	jens-daniel-mueller	2020-12-02
0ff728b	jens-daniel-mueller	2020-12-01
92edddb	jens-daniel-mueller	2020-12-01
196be51	jens-daniel-mueller	2020-11-30
bc61ce3	Jens Müller	2020-11-30

Past versions of cant_all_inventory_map-2.png

Version	Author	Date
902f65a	jens-daniel-mueller	2020-12-02
0ff728b	jens-daniel-mueller	2020-12-01
92edddb	jens-daniel-mueller	2020-12-01
196be51	jens-daniel-mueller	2020-11-30
bc61ce3	Jens Müller	2020-11-30

6 Cant - standard deviation

6.1 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_eras <- unique(cant_zonal$eras)[1]
# i_basin_AIP <- unique(cant_zonal$basin_AIP)[2]

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

Past versions of cant_sections_sd_models-1.png

Version	Author	Date
9eb4281	jens-daniel-mueller	2020-12-02
902f65a	jens-daniel-mueller	2020-12-02
ee9bf6d	jens-daniel-mueller	2020-12-01
0ff728b	jens-daniel-mueller	2020-12-01
92edddb	jens-daniel-mueller	2020-12-01
196be51	jens-daniel-mueller	2020-11-30
bc61ce3	Jens Müller	2020-11-30

Past versions of cant_sections_sd_models-2.png

Version	Author	Date
9eb4281	jens-daniel-mueller	2020-12-02
902f65a	jens-daniel-mueller	2020-12-02
ee9bf6d	jens-daniel-mueller	2020-12-01
0ff728b	jens-daniel-mueller	2020-12-01
92edddb	jens-daniel-mueller	2020-12-01
196be51	jens-daniel-mueller	2020-11-30
bc61ce3	Jens Müller	2020-11-30

Past versions of cant_sections_sd_models-3.png

Version	Author	Date
9eb4281	jens-daniel-mueller	2020-12-02
902f65a	jens-daniel-mueller	2020-12-02
ee9bf6d	jens-daniel-mueller	2020-12-01
0ff728b	jens-daniel-mueller	2020-12-01
92edddb	jens-daniel-mueller	2020-12-01
196be51	jens-daniel-mueller	2020-11-30
bc61ce3	Jens Müller	2020-11-30

Past versions of cant_sections_sd_models-4.png

Version	Author	Date
9eb4281	jens-daniel-mueller	2020-12-02
902f65a	jens-daniel-mueller	2020-12-02
ee9bf6d	jens-daniel-mueller	2020-12-01
0ff728b	jens-daniel-mueller	2020-12-01
92edddb	jens-daniel-mueller	2020-12-01
196be51	jens-daniel-mueller	2020-11-30
bc61ce3	Jens Müller	2020-11-30

Past versions of cant_sections_sd_models-5.png

Version	Author	Date
9eb4281	jens-daniel-mueller	2020-12-02
902f65a	jens-daniel-mueller	2020-12-02
ee9bf6d	jens-daniel-mueller	2020-12-01
0ff728b	jens-daniel-mueller	2020-12-01
92edddb	jens-daniel-mueller	2020-12-01
196be51	jens-daniel-mueller	2020-11-30
bc61ce3	Jens Müller	2020-11-30

Past versions of cant_sections_sd_models-6.png

Version	Author	Date
9eb4281	jens-daniel-mueller	2020-12-02
902f65a	jens-daniel-mueller	2020-12-02
ee9bf6d	jens-daniel-mueller	2020-12-01
0ff728b	jens-daniel-mueller	2020-12-01
92edddb	jens-daniel-mueller	2020-12-01
196be51	jens-daniel-mueller	2020-11-30
bc61ce3	Jens Müller	2020-11-30

6.2 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_eras <- unique(cant_zonal$eras)[1]
# i_basin_AIP <- unique(cant_zonal$basin_AIP)[2]

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

Past versions of cant_sections_sd_cant-1.png

Version	Author	Date
9eb4281	jens-daniel-mueller	2020-12-02
902f65a	jens-daniel-mueller	2020-12-02
ee9bf6d	jens-daniel-mueller	2020-12-01
0ff728b	jens-daniel-mueller	2020-12-01
92edddb	jens-daniel-mueller	2020-12-01
196be51	jens-daniel-mueller	2020-11-30
bc61ce3	Jens Müller	2020-11-30

Past versions of cant_sections_sd_cant-2.png

Version	Author	Date
9eb4281	jens-daniel-mueller	2020-12-02
902f65a	jens-daniel-mueller	2020-12-02
ee9bf6d	jens-daniel-mueller	2020-12-01
0ff728b	jens-daniel-mueller	2020-12-01
92edddb	jens-daniel-mueller	2020-12-01
196be51	jens-daniel-mueller	2020-11-30
bc61ce3	Jens Müller	2020-11-30

Past versions of cant_sections_sd_cant-3.png

Version	Author	Date
9eb4281	jens-daniel-mueller	2020-12-02
902f65a	jens-daniel-mueller	2020-12-02
ee9bf6d	jens-daniel-mueller	2020-12-01
0ff728b	jens-daniel-mueller	2020-12-01
92edddb	jens-daniel-mueller	2020-12-01
196be51	jens-daniel-mueller	2020-11-30
bc61ce3	Jens Müller	2020-11-30

Past versions of cant_sections_sd_cant-4.png

Version	Author	Date
9eb4281	jens-daniel-mueller	2020-12-02
902f65a	jens-daniel-mueller	2020-12-02
ee9bf6d	jens-daniel-mueller	2020-12-01
0ff728b	jens-daniel-mueller	2020-12-01
92edddb	jens-daniel-mueller	2020-12-01
196be51	jens-daniel-mueller	2020-11-30
bc61ce3	Jens Müller	2020-11-30

Past versions of cant_sections_sd_cant-5.png

Version	Author	Date
9eb4281	jens-daniel-mueller	2020-12-02
902f65a	jens-daniel-mueller	2020-12-02
ee9bf6d	jens-daniel-mueller	2020-12-01
0ff728b	jens-daniel-mueller	2020-12-01
92edddb	jens-daniel-mueller	2020-12-01
196be51	jens-daniel-mueller	2020-11-30
bc61ce3	Jens Müller	2020-11-30

Past versions of cant_sections_sd_cant-6.png

Version	Author	Date
9eb4281	jens-daniel-mueller	2020-12-02
902f65a	jens-daniel-mueller	2020-12-02
ee9bf6d	jens-daniel-mueller	2020-12-01
0ff728b	jens-daniel-mueller	2020-12-01
92edddb	jens-daniel-mueller	2020-12-01
196be51	jens-daniel-mueller	2020-11-30
bc61ce3	Jens Müller	2020-11-30

6.3 Correlation

6.3.1 Cant vs model SD

# cant_3d <- cant_3d  %>% 
#   mutate(eras = factor(eras, c("JGOFS_GO", "GO_new")))

cant_3d %>% 
  ggplot(aes(cant, cant_sd)) +
  geom_vline(xintercept = 0) +
  geom_hline(yintercept = 10) +
  geom_bin2d() +
  scale_fill_viridis_c(option = "magma",
                       direction = -1,
                       trans = "log10",
                       name = "log10(n)") +
  facet_grid(basin_AIP ~ eras)

Past versions of cant_vs_sd_by_basin_era-1.png

Version	Author	Date
902f65a	jens-daniel-mueller	2020-12-02
0ff728b	jens-daniel-mueller	2020-12-01
92edddb	jens-daniel-mueller	2020-12-01
196be51	jens-daniel-mueller	2020-11-30
bc61ce3	Jens Müller	2020-11-30

cant_3d %>% 
  ggplot(aes(cant, cant_sd)) +
  geom_vline(xintercept = 0) +
  geom_hline(yintercept = 10) +
  geom_bin2d() +
  scale_fill_viridis_c(option = "magma",
                       direction = -1,
                       trans = "log10",
                       name = "log10(n)") +
  facet_grid(gamma_slab ~ basin_AIP)

Past versions of cant_vs_sd_by_basin_gamma-1.png

Version	Author	Date
902f65a	jens-daniel-mueller	2020-12-02
0ff728b	jens-daniel-mueller	2020-12-01
92edddb	jens-daniel-mueller	2020-12-01
196be51	jens-daniel-mueller	2020-11-30
bc61ce3	Jens Müller	2020-11-30

6.3.2 Cant vs regional SD

cant_zonal %>% 
  ggplot(aes(cant_mean, cant_sd)) +
  geom_vline(xintercept = 0) +
  geom_hline(yintercept = 10) +
  geom_bin2d() +
  scale_fill_viridis_c(option = "magma",
                       direction = -1,
                       trans = "log10",
                       name = "log10(n)") +
  facet_grid(basin_AIP ~ eras)

Past versions of cant_vs_sd_by_basin_era_zonal-1.png

Version	Author	Date
902f65a	jens-daniel-mueller	2020-12-02
0ff728b	jens-daniel-mueller	2020-12-01
92edddb	jens-daniel-mueller	2020-12-01
196be51	jens-daniel-mueller	2020-11-30
bc61ce3	Jens Müller	2020-11-30

cant_zonal %>% 
  ggplot(aes(cant_mean, cant_sd)) +
  geom_vline(xintercept = 0) +
  geom_hline(yintercept = 10) +
  geom_bin2d() +
  scale_fill_viridis_c(option = "magma",
                       direction = -1,
                       trans = "log10",
                       name = "log10(n)") +
  facet_grid(gamma_slab ~ basin_AIP)

Past versions of cant_vs_sd_by_basin_gamma_zonal-1.png

Version	Author	Date
902f65a	jens-daniel-mueller	2020-12-02
0ff728b	jens-daniel-mueller	2020-12-01
92edddb	jens-daniel-mueller	2020-12-01
196be51	jens-daniel-mueller	2020-11-30
bc61ce3	Jens Müller	2020-11-30

7 Cant - predictor contribution

# cant_predictor_zonal <- cant_predictor_zonal %>% 
#   mutate(eras = factor(eras, c("JGOFS_GO", "GO_new")))

variable <- "cant_intercept"

for (variable in c(
  "cant_intercept",
  "cant_aou",
  "cant_oxygen",
  "cant_phosphate",
  "cant_phosphate_star",
  "cant_silicate",
  "cant_tem",
  "cant_sal")) {

print(
p_section_zonal_divergent_gamma_eras_basin(
  df = cant_predictor_zonal,
  var = variable,
  gamma = "gamma")
)
    
}

Past versions of cant_section_predictor_contribution-1.png

Version	Author	Date
902f65a	jens-daniel-mueller	2020-12-02
ee9bf6d	jens-daniel-mueller	2020-12-01
0ff728b	jens-daniel-mueller	2020-12-01
92edddb	jens-daniel-mueller	2020-12-01
196be51	jens-daniel-mueller	2020-11-30
bc61ce3	Jens Müller	2020-11-30

Past versions of cant_section_predictor_contribution-2.png

Version	Author	Date
902f65a	jens-daniel-mueller	2020-12-02
ee9bf6d	jens-daniel-mueller	2020-12-01
0ff728b	jens-daniel-mueller	2020-12-01
92edddb	jens-daniel-mueller	2020-12-01
196be51	jens-daniel-mueller	2020-11-30
bc61ce3	Jens Müller	2020-11-30

Past versions of cant_section_predictor_contribution-3.png

Version	Author	Date
902f65a	jens-daniel-mueller	2020-12-02
ee9bf6d	jens-daniel-mueller	2020-12-01
0ff728b	jens-daniel-mueller	2020-12-01
92edddb	jens-daniel-mueller	2020-12-01
196be51	jens-daniel-mueller	2020-11-30
bc61ce3	Jens Müller	2020-11-30

Past versions of cant_section_predictor_contribution-4.png

Version	Author	Date
902f65a	jens-daniel-mueller	2020-12-02
ee9bf6d	jens-daniel-mueller	2020-12-01
0ff728b	jens-daniel-mueller	2020-12-01
92edddb	jens-daniel-mueller	2020-12-01
196be51	jens-daniel-mueller	2020-11-30
bc61ce3	Jens Müller	2020-11-30

Past versions of cant_section_predictor_contribution-5.png

Version	Author	Date
902f65a	jens-daniel-mueller	2020-12-02
ee9bf6d	jens-daniel-mueller	2020-12-01
0ff728b	jens-daniel-mueller	2020-12-01
92edddb	jens-daniel-mueller	2020-12-01
196be51	jens-daniel-mueller	2020-11-30
bc61ce3	Jens Müller	2020-11-30

Past versions of cant_section_predictor_contribution-6.png

Version	Author	Date
902f65a	jens-daniel-mueller	2020-12-02
ee9bf6d	jens-daniel-mueller	2020-12-01
0ff728b	jens-daniel-mueller	2020-12-01
92edddb	jens-daniel-mueller	2020-12-01
196be51	jens-daniel-mueller	2020-11-30
bc61ce3	Jens Müller	2020-11-30

Past versions of cant_section_predictor_contribution-7.png

Version	Author	Date
902f65a	jens-daniel-mueller	2020-12-02
ee9bf6d	jens-daniel-mueller	2020-12-01
0ff728b	jens-daniel-mueller	2020-12-01
92edddb	jens-daniel-mueller	2020-12-01
196be51	jens-daniel-mueller	2020-11-30
bc61ce3	Jens Müller	2020-11-30

Past versions of cant_section_predictor_contribution-8.png

Version	Author	Date
902f65a	jens-daniel-mueller	2020-12-02
ee9bf6d	jens-daniel-mueller	2020-12-01
0ff728b	jens-daniel-mueller	2020-12-01
92edddb	jens-daniel-mueller	2020-12-01
196be51	jens-daniel-mueller	2020-11-30
bc61ce3	Jens Müller	2020-11-30

rm(variable)

8 Neutral density

8.1 Slab depth

Please note that:

• density slabs covering values >28.1 occur by definition only either in the Atlantic or Indo-Pacific basin
• predictor density slabs are only shown for the upper 3000m as used for the mapping, whereas GLODAP observations are displayed for the entire water column as used for fitting eMLRs (in both cases shallow waters are excluded at low density)

GLODAP_obs_coverage <- GLODAP %>% 
  count(lat, lon, gamma_slab, era)
# %>% 
#   mutate(era = factor(era, c("JGOFS_WOCE", "GO_SHIP", "new_era")))
  
map +
  geom_raster(data = cant_gamma_maps,
              aes(lon, lat, fill = depth_max)) +
  geom_raster(data = GLODAP_obs_coverage,
              aes(lon, lat), fill = "red") +
  facet_grid(gamma_slab ~ era) +
  scale_fill_viridis_c(direction = -1) +
  theme(axis.ticks = element_blank(),
        axis.text = element_blank(),
        legend.position = "top")

Past versions of gamma_maps-1.png

Version	Author	Date
0ff728b	jens-daniel-mueller	2020-12-01
92edddb	jens-daniel-mueller	2020-12-01
196be51	jens-daniel-mueller	2020-11-30
bc61ce3	Jens Müller	2020-11-30

rm(GLODAP_obs_coverage)

9 C*

9.1 Zonal mean sections

# cstar_zonal <- cstar_zonal %>% 
#     mutate(era = factor(era, c("JGOFS_WOCE", "GO_SHIP", "new_era"))) 

slab_breaks <- c(params_local$slabs_Atl[1:12],Inf)

cstar_zonal %>% 
    ggplot(aes(lat, depth, z = cstar_mean)) +
    geom_contour_filled(bins = 11) +
    scale_fill_viridis_d(name = "cstar") +
    geom_contour(aes(lat, depth, z = gamma_mean),
                 breaks = slab_breaks,
                 col = "white") +
    geom_text_contour(
      aes(lat, depth, z = gamma_mean),
      breaks = slab_breaks,
      col = "white",
      skip = 1
    ) +
    scale_y_reverse() +
    scale_x_continuous(breaks = seq(-100,100,20)) +
    coord_cartesian(expand = 0) +
    guides(fill = guide_colorsteps(barheight = unit(10, "cm"))) +
    facet_grid(basin_AIP ~ era)

Past versions of cstar_zonal_mean_era-1.png

Version	Author	Date
902f65a	jens-daniel-mueller	2020-12-02
0ff728b	jens-daniel-mueller	2020-12-01
92edddb	jens-daniel-mueller	2020-12-01
196be51	jens-daniel-mueller	2020-11-30

rm(slab_breaks)

10 Sections by model

Zonal sections plots are produced for every 20° longitude, each era and for all models individually and can be downloaded here.

11 Known issues

Deviations between this study and the results by Gruber et al (2019), short G19, for the same period, might be attributable to following known differences in the implementation of the eMLR(C*) method:

• GLODAPv2_2020 here vs an extended version of GLODAPv2 in G19
• flagging: Here, we accept f flags 0 and 2 (except for tco2, where only 0 is accepted). G19 claim to use 0 throughout, yet have a high coverage of talk observations in the SE Pacific
  
• Neutral density calculation: Here and in GLODAPv2_2020 a polynomial approximation is used, whereas G19 uses the original Matlab code
  
• Predictor climatology: Here we used WOA18, whereas G19 used WOA13
• Missing data in the GLODAP mapped climatology, eg NO3 at surface, where not filled in this study
• cant on neutral density levels calculate as slab mean, rather than on one surface
• Here, surface delta cant were calculated based on Luecker constants, rather than Mehrbach as in G19
• Here, pCO2 was calculated from DIC/TA Climatology

Session information

sessionInfo()

R version 4.0.3 (2020-10-10)
Platform: x86_64-pc-linux-gnu (64-bit)
Running under: openSUSE Leap 15.1

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] kableExtra_1.3.1 marelac_2.1.10   shape_1.4.5      scales_1.1.1    
 [5] metR_0.9.0       scico_1.2.0      patchwork_1.1.0  collapse_1.4.2  
 [9] forcats_0.5.0    stringr_1.4.0    dplyr_1.0.2      purrr_0.3.4     
[13] readr_1.4.0      tidyr_1.1.2      tibble_3.0.4     ggplot2_3.3.2   
[17] 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_2.0-0         withr_2.3.0             
[13] tidyselect_1.1.0         compiler_4.0.3           git2r_0.27.1            
[16] cli_2.2.0                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] highr_0.8                rlang_0.4.9              readxl_1.3.1            
[31] rstudioapi_0.13          farver_2.0.3             generics_0.0.2          
[34] jsonlite_1.7.1           magrittr_2.0.1           Matrix_1.2-18           
[37] Rcpp_1.0.5               munsell_0.5.0            fansi_0.4.1             
[40] lifecycle_0.2.0          stringi_1.5.3            whisker_0.4             
[43] yaml_2.2.1               plyr_1.8.6               grid_4.0.3              
[46] blob_1.2.1               parallel_4.0.3           promises_1.1.1          
[49] crayon_1.3.4             lattice_0.20-41          haven_2.3.1             
[52] hms_0.5.3                seacarb_3.2.14           knitr_1.30              
[55] pillar_1.4.7             reprex_0.3.0             glue_1.4.2              
[58] evaluate_0.14            RcppArmadillo_0.10.1.2.0 data.table_1.13.2       
[61] modelr_0.1.8             vctrs_0.3.5              httpuv_1.5.4            
[64] testthat_3.0.0           cellranger_1.1.0         gtable_0.3.0            
[67] assertthat_0.2.1         xfun_0.18                broom_0.7.2             
[70] RcppEigen_0.3.3.7.0      later_1.1.0.1            viridisLite_0.3.0       
[73] memoise_1.1.0            ellipsis_0.3.1           here_0.1