Analysis - isoneutral slab

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Last updated: 2021-01-14

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1 Data sources

Following Cant mean values per grid cell are used:

1.1 This study

Results from this study are referred to as JDM.

cant_3d <-
  read_csv(paste(path_version_data,
                 "cant_3d.csv",
                 sep = ""))

1.2 Modeled Cant

“True” Cant fields directly inferred from the model output are referred to as M.

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

cant_tref_1 <-
  read_csv(
    paste(
      path_preprocessing,
      "cant_annual_field_",
      params_local$model_runs,
      "/cant_",
      unique(tref$year[1]),
      ".csv",
      sep = ""
    )
  )

cant_tref_1 <- cant_tref_1 %>%
  rename(cant_tref_1 = cant_total) %>%
  select(-year)

cant_tref_2 <-
  read_csv(
    paste(
      path_preprocessing,
      "cant_annual_field_",
      params_local$model_runs,
      "/cant_",
      unique(tref$year[2]),
      ".csv",
      sep = ""
    )
  )

cant_tref_2 <- cant_tref_2 %>%
  rename(cant_tref_2 = cant_total) %>%
  select(-year)

cant_tref_3 <-
  read_csv(
    paste(
      path_preprocessing,
      "cant_annual_field_",
      params_local$model_runs,
      "/cant_",
      unique(tref$year[3]),
      ".csv",
      sep = ""
    )
  )

cant_tref_3 <- cant_tref_3 %>%
  rename(cant_tref_3 = cant_total) %>%
  select(-year)

cant_M_1 <- left_join(cant_tref_1, cant_tref_2) %>%
  mutate(cant = cant_tref_2 - cant_tref_1,
         eras = unique(cant_3d$eras)[1]) %>% 
  select(-c(cant_tref_1, cant_tref_2))

cant_M_2 <- left_join(cant_tref_2, cant_tref_3) %>%
  mutate(cant = cant_tref_3 - cant_tref_2,
         eras = unique(cant_3d$eras)[2]) %>% 
  select(-c(cant_tref_2, cant_tref_3))

cant_M <- full_join(cant_M_1, cant_M_2) %>%
  arrange(lon, lat, depth, basin_AIP)

cant_M <- cant_M %>% 
   mutate(cant_pos = if_else(cant <= 0, 0, cant))

rm(cant_tref_1, cant_tref_2, cant_tref_3, cant_M_1, cant_M_2)

cant_3d_gamma <- cant_3d %>%
  select(lon, lat, depth, eras, basin_AIP, gamma, gamma_slab)

cant_M <- left_join(cant_3d_gamma, cant_M)

rm(cant_3d_gamma)

2 Isoneutral slab distribution

Cant mean 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

# JDM
cant_gamma_maps_JDM <- m_cant_slab(cant_3d)

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

# M
cant_gamma_maps_M <- m_cant_slab(cant_M)

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

2.1 Cant - 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 MLR model predictions available for each grid cell). Negative values were set to zero before calculating slab inventories.

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

Past versions of cant_pos_gamma_slab_maps-1.png

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8d032c3	jens-daniel-mueller	2021-01-14
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2.2 Cant - all

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

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

Past versions of cant_all_gamma_slab_maps-1.png

Version	Author	Date
8d032c3	jens-daniel-mueller	2021-01-14
022871c	Donghe-Zhu	2021-01-13

Past versions of cant_all_gamma_slab_maps-2.png

Version	Author	Date
c5a2483	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
022871c	Donghe-Zhu	2021-01-13

Past versions of cant_all_gamma_slab_maps-3.png

Version	Author	Date
c5a2483	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
022871c	Donghe-Zhu	2021-01-13

Past versions of cant_all_gamma_slab_maps-4.png

Version	Author	Date
c5a2483	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
022871c	Donghe-Zhu	2021-01-13

Past versions of cant_all_gamma_slab_maps-5.png

Version	Author	Date
c5a2483	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
022871c	Donghe-Zhu	2021-01-13

Past versions of cant_all_gamma_slab_maps-6.png

Version	Author	Date
c5a2483	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
022871c	Donghe-Zhu	2021-01-13

Past versions of cant_all_gamma_slab_maps-7.png

Version	Author	Date
c5a2483	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
022871c	Donghe-Zhu	2021-01-13

Past versions of cant_all_gamma_slab_maps-8.png

Version	Author	Date
c5a2483	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
022871c	Donghe-Zhu	2021-01-13

Past versions of cant_all_gamma_slab_maps-9.png

Version	Author	Date
c5a2483	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
022871c	Donghe-Zhu	2021-01-13

Past versions of cant_all_gamma_slab_maps-10.png

Version	Author	Date
c5a2483	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
022871c	Donghe-Zhu	2021-01-13

Past versions of cant_all_gamma_slab_maps-11.png

Version	Author	Date
c5a2483	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
022871c	Donghe-Zhu	2021-01-13

Past versions of cant_all_gamma_slab_maps-12.png

Version	Author	Date
c5a2483	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
022871c	Donghe-Zhu	2021-01-13

Past versions of cant_all_gamma_slab_maps-13.png

Version	Author	Date
c5a2483	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
022871c	Donghe-Zhu	2021-01-13

Past versions of cant_all_gamma_slab_maps-14.png

Version	Author	Date
c5a2483	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
022871c	Donghe-Zhu	2021-01-13

Past versions of cant_all_gamma_slab_maps-15.png

Version	Author	Date
c5a2483	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
022871c	Donghe-Zhu	2021-01-13

Past versions of cant_all_gamma_slab_maps-16.png

Version	Author	Date
c5a2483	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
022871c	Donghe-Zhu	2021-01-13

Past versions of cant_all_gamma_slab_maps-17.png

Version	Author	Date
c5a2483	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
022871c	Donghe-Zhu	2021-01-13

Past versions of cant_all_gamma_slab_maps-18.png

Version	Author	Date
c5a2483	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
022871c	Donghe-Zhu	2021-01-13

Past versions of cant_all_gamma_slab_maps-19.png

Version	Author	Date
c5a2483	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
022871c	Donghe-Zhu	2021-01-13

Past versions of cant_all_gamma_slab_maps-20.png

Version	Author	Date
c5a2483	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
022871c	Donghe-Zhu	2021-01-13

Past versions of cant_all_gamma_slab_maps-21.png

Version	Author	Date
c5a2483	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
022871c	Donghe-Zhu	2021-01-13

Past versions of cant_all_gamma_slab_maps-22.png

Version	Author	Date
c5a2483	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
022871c	Donghe-Zhu	2021-01-13

Past versions of cant_all_gamma_slab_maps-23.png

Version	Author	Date
c5a2483	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
022871c	Donghe-Zhu	2021-01-13

Past versions of cant_all_gamma_slab_maps-24.png

Version	Author	Date
c5a2483	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
022871c	Donghe-Zhu	2021-01-13

Past versions of cant_all_gamma_slab_maps-25.png

Version	Author	Date
c5a2483	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
022871c	Donghe-Zhu	2021-01-13

Past versions of cant_all_gamma_slab_maps-26.png

Version	Author	Date
c5a2483	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
022871c	Donghe-Zhu	2021-01-13

Past versions of cant_all_gamma_slab_maps-27.png

Version	Author	Date
c5a2483	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
022871c	Donghe-Zhu	2021-01-13

Past versions of cant_all_gamma_slab_maps-28.png

Version	Author	Date
c5a2483	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
022871c	Donghe-Zhu	2021-01-13

Past versions of cant_all_gamma_slab_maps-29.png

Version	Author	Date
c5a2483	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
022871c	Donghe-Zhu	2021-01-13

Past versions of cant_all_gamma_slab_maps-30.png

Version	Author	Date
c5a2483	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
022871c	Donghe-Zhu	2021-01-13

Past versions of cant_all_gamma_slab_maps-31.png

Version	Author	Date
c5a2483	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
022871c	Donghe-Zhu	2021-01-13

Past versions of cant_all_gamma_slab_maps-32.png

Version	Author	Date
c5a2483	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
022871c	Donghe-Zhu	2021-01-13

Past versions of cant_all_gamma_slab_maps-33.png

Version	Author	Date
c5a2483	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
022871c	Donghe-Zhu	2021-01-13

Past versions of cant_all_gamma_slab_maps-34.png

Version	Author	Date
c5a2483	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
022871c	Donghe-Zhu	2021-01-13

Past versions of cant_all_gamma_slab_maps-35.png

Version	Author	Date
c5a2483	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
022871c	Donghe-Zhu	2021-01-13

Past versions of cant_all_gamma_slab_maps-36.png

Version	Author	Date
c5a2483	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
022871c	Donghe-Zhu	2021-01-13

Past versions of cant_all_gamma_slab_maps-37.png

Version	Author	Date
c5a2483	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
022871c	Donghe-Zhu	2021-01-13

Past versions of cant_all_gamma_slab_maps-38.png

Version	Author	Date
c5a2483	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
022871c	Donghe-Zhu	2021-01-13

Past versions of cant_all_gamma_slab_maps-39.png

Version	Author	Date
c5a2483	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
022871c	Donghe-Zhu	2021-01-13

Past versions of cant_all_gamma_slab_maps-40.png

Version	Author	Date
c5a2483	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
022871c	Donghe-Zhu	2021-01-13

Past versions of cant_all_gamma_slab_maps-41.png

Version	Author	Date
c5a2483	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
022871c	Donghe-Zhu	2021-01-13

Past versions of cant_all_gamma_slab_maps-42.png

Version	Author	Date
c5a2483	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
022871c	Donghe-Zhu	2021-01-13

Past versions of cant_all_gamma_slab_maps-43.png

Version	Author	Date
c5a2483	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
022871c	Donghe-Zhu	2021-01-13

Past versions of cant_all_gamma_slab_maps-44.png

Version	Author	Date
c5a2483	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
022871c	Donghe-Zhu	2021-01-13

Past versions of cant_all_gamma_slab_maps-45.png

Version	Author	Date
c5a2483	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
022871c	Donghe-Zhu	2021-01-13

Past versions of cant_all_gamma_slab_maps-46.png

Version	Author	Date
c5a2483	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
022871c	Donghe-Zhu	2021-01-13

Past versions of cant_all_gamma_slab_maps-47.png

Version	Author	Date
c5a2483	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
022871c	Donghe-Zhu	2021-01-13

Past versions of cant_all_gamma_slab_maps-48.png

Version	Author	Date
c5a2483	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
022871c	Donghe-Zhu	2021-01-13

Past versions of cant_all_gamma_slab_maps-49.png

Version	Author	Date
c5a2483	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
022871c	Donghe-Zhu	2021-01-13

Past versions of cant_all_gamma_slab_maps-50.png

Version	Author	Date
c5a2483	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
022871c	Donghe-Zhu	2021-01-13

Past versions of cant_all_gamma_slab_maps-51.png

Version	Author	Date
c5a2483	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
022871c	Donghe-Zhu	2021-01-13

Past versions of cant_all_gamma_slab_maps-52.png

Version	Author	Date
c5a2483	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
022871c	Donghe-Zhu	2021-01-13

Past versions of cant_all_gamma_slab_maps-53.png

Version	Author	Date
c5a2483	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
022871c	Donghe-Zhu	2021-01-13

Past versions of cant_all_gamma_slab_maps-54.png

Version	Author	Date
c5a2483	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
022871c	Donghe-Zhu	2021-01-13

Past versions of cant_all_gamma_slab_maps-55.png

Version	Author	Date
c5a2483	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
022871c	Donghe-Zhu	2021-01-13

Past versions of cant_all_gamma_slab_maps-56.png

Version	Author	Date
c5a2483	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
022871c	Donghe-Zhu	2021-01-13

Past versions of cant_all_gamma_slab_maps-57.png

Version	Author	Date
c5a2483	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
022871c	Donghe-Zhu	2021-01-13

Past versions of cant_all_gamma_slab_maps-58.png

Version	Author	Date
c5a2483	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
022871c	Donghe-Zhu	2021-01-13

Past versions of cant_all_gamma_slab_maps-59.png

Version	Author	Date
c5a2483	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
022871c	Donghe-Zhu	2021-01-13

Past versions of cant_all_gamma_slab_maps-60.png

Version	Author	Date
8d032c3	jens-daniel-mueller	2021-01-14
022871c	Donghe-Zhu	2021-01-13

Session information

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        marelac_2.1.10  shape_1.4.5     scales_1.1.1   
 [5] metR_0.9.0      scico_1.2.0     patchwork_1.1.1 collapse_1.5.0 
 [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] httr_1.4.2               jsonlite_1.7.1           here_0.1                
 [4] modelr_0.1.8             assertthat_0.2.1         blob_1.2.1              
 [7] cellranger_1.1.0         yaml_2.2.1               pillar_1.4.7            
[10] backports_1.1.10         lattice_0.20-41          glue_1.4.2              
[13] RcppEigen_0.3.3.7.0      digest_0.6.27            promises_1.1.1          
[16] checkmate_2.0.0          rvest_0.3.6              colorspace_1.4-1        
[19] htmltools_0.5.0          httpuv_1.5.4             Matrix_1.2-18           
[22] pkgconfig_2.0.3          broom_0.7.2              seacarb_3.2.14          
[25] haven_2.3.1              whisker_0.4              later_1.1.0.1           
[28] git2r_0.27.1             farver_2.0.3             generics_0.0.2          
[31] ellipsis_0.3.1           withr_2.3.0              cli_2.1.0               
[34] magrittr_1.5             crayon_1.3.4             readxl_1.3.1            
[37] evaluate_0.14            fs_1.5.0                 fansi_0.4.1             
[40] xml2_1.3.2               RcppArmadillo_0.10.1.2.0 oce_1.2-0               
[43] tools_4.0.3              data.table_1.13.2        hms_0.5.3               
[46] lifecycle_0.2.0          munsell_0.5.0            reprex_0.3.0            
[49] gsw_1.0-5                compiler_4.0.3           rlang_0.4.9             
[52] grid_4.0.3               rstudioapi_0.13          labeling_0.4.2          
[55] rmarkdown_2.5            testthat_2.3.2           gtable_0.3.0            
[58] DBI_1.1.0                R6_2.5.0                 lubridate_1.7.9         
[61] knitr_1.30               rprojroot_2.0.2          stringi_1.5.3           
[64] parallel_4.0.3           Rcpp_1.0.5               vctrs_0.3.5             
[67] dbplyr_1.4.4             tidyselect_1.1.0         xfun_0.18