Institutional Design, Coordination, and Endurance

1. Data Preparation

1.1 Load and Inspect the Data

# Load necessary libraries
library(tidyverse)
## ── Attaching core tidyverse packages ──────────────────────── tidyverse 2.0.0 ──
## ✔ dplyr     1.1.4     ✔ readr     2.1.5
## ✔ forcats   1.0.0     ✔ stringr   1.5.1
## ✔ ggplot2   3.5.2     ✔ tibble    3.3.0
## ✔ lubridate 1.9.4     ✔ tidyr     1.3.1
## ✔ purrr     1.1.0     
## ── Conflicts ────────────────────────────────────────── tidyverse_conflicts() ──
## ✖ dplyr::filter() masks stats::filter()
## ✖ dplyr::lag()    masks stats::lag()
## ℹ Use the conflicted package (<http://conflicted.r-lib.org/>) to force all conflicts to become errors
library(lubridate)

# Load the data
data <- read.csv("full_data.csv")

# Inspect the first few rows
head(data)
##   institution year_founded          founding_era_category foundingdensity_5yr
## 1         IOC         1960     Post-WWII Boom (1946-1960)                   4
## 2         FAO         1945 Early 20th Century (1900-1945)                   5
## 3         IMO         1948     Post-WWII Boom (1946-1960)                   4
## 4   UN DOALOS         1992      Post-Cold War (1991-2000)                   7
## 5         CCS         1992      Post-Cold War (1991-2000)                   7
## 6         ISA         1994      Post-Cold War (1991-2000)                   8
##   cumulativestock ordinal_score_spatial archipelago_withinigo
## 1              16                     9              4.444444
## 2               7                     9              4.444444
## 3              11                     9              4.444444
## 4              36                     7              4.444444
## 5              36                     9              4.444444
## 6              40                     1              0.000000
##   coastal_zone_withinigo contiguous_zone_cz_withinigo
## 1               3.333333                            0
## 2               3.333333                            0
## 3               3.333333                            0
## 4               0.000000                            0
## 5               3.333333                            0
## 6               0.000000                            0
##   enclosed_or_semi_enclosed_sea_withinigo exclusive_economic_zone_eez_withinigo
## 1                                5.555556                                     0
## 2                                5.555556                                     0
## 3                                5.555556                                     0
## 4                                5.555556                                     0
## 5                                5.555556                                     0
## 6                                0.000000                                     0
##   extended_continental_shelf_cs_withinigo high_seas_withinigo
## 1                                       0                  10
## 2                                       0                  10
## 3                                       0                  10
## 4                                       0                  10
## 5                                       0                  10
## 6                                       0                   0
##   internal_waters_withinigo territorial_sea_ts_withinigo the_area_withinigo
## 1                  0.000000                            0                  0
## 2                  2.222222                            0                  0
## 3                  2.222222                            0                  0
## 4                  0.000000                            0                  0
## 5                  2.222222                            0                  0
## 6                  0.000000                            0                 10
##   archipelago_acrossigo coastal_zone_acrossigo contiguous_zone_cz_acrossigo
## 1              3.636364               2.727273                            0
## 2              3.636364               2.727273                            0
## 3              3.636364               2.727273                            0
## 4              3.636364               0.000000                            0
## 5              3.636364               2.727273                            0
## 6              0.000000               0.000000                            0
##   enclosed_or_semi_enclosed_sea_acrossigo exclusive_economic_zone_eez_acrossigo
## 1                                4.545455                                     0
## 2                                4.545455                                     0
## 3                                4.545455                                     0
## 4                                4.545455                                     0
## 5                                4.545455                                     0
## 6                                0.000000                                     0
##   extended_continental_shelf_cs_acrossigo high_seas_acrossigo
## 1                                       0            8.181818
## 2                                       0            8.181818
## 3                                       0            8.181818
## 4                                       0            8.181818
## 5                                       0            8.181818
## 6                                       0            0.000000
##   internal_waters_acrossigo territorial_sea_ts_acrossigo the_area_acrossigo
## 1                  0.000000                            0                  0
## 2                  1.818182                            0                  0
## 3                  1.818182                            0                  0
## 4                  0.000000                            0                  0
## 5                  1.818182                            0                  0
## 6                  0.000000                            0                 10
##   ordinal_score_vertical_coordination data_integration_systems_withinigo
## 1                                   6                                  0
## 2                                   7                                  0
## 3                                   7                                  0
## 4                                   6                                  0
## 5                                   4                                  0
## 6                                   6                                  0
##   global_regional_national_coordination_withinigo
## 1                                        3.333333
## 2                                        5.000000
## 3                                        2.000000
## 4                                        2.000000
## 5                                        5.000000
## 6                                        3.333333
##   intergovernmental_to_national_institutions_withinigo
## 1                                             3.333333
## 2                                             5.000000
## 3                                             2.000000
## 4                                             2.000000
## 5                                             5.000000
## 6                                             3.333333
##   multi_level_planning_structures_withinigo
## 1                                  3.333333
## 2                                  5.000000
## 3                                  2.000000
## 4                                  0.000000
## 5                                  0.000000
## 6                                  3.333333
##   policy_alignment_with_national_plans_withinigo
## 1                                              0
## 2                                              5
## 3                                              0
## 4                                              0
## 5                                              0
## 6                                              0
##   regional_implementing_partners_withinigo
## 1                                 3.333333
## 2                                10.000000
## 3                                 4.000000
## 4                                 0.000000
## 5                                10.000000
## 6                                 6.666667
##   reporting_compliance_mechanisms_withinigo
## 1                                         0
## 2                                         0
## 3                                         0
## 4                                         4
## 5                                         0
## 6                                         0
##   sectoral_to_national_coordination_withinigo
## 1                                           0
## 2                                           0
## 3                                           2
## 4                                           2
## 5                                           0
## 6                                           0
##   technical_assistance_to_states_withinigo un_to_member_states_withinigo
## 1                                 3.333333                     10.000000
## 2                                10.000000                     10.000000
## 3                                10.000000                      6.000000
## 4                                10.000000                      4.000000
## 5                                 0.000000                     10.000000
## 6                                10.000000                      6.666667
##   data_integration_systems_acrossigo
## 1                                  0
## 2                                  0
## 3                                  0
## 4                                  0
## 5                                  0
## 6                                  0
##   global_regional_national_coordination_acrossigo
## 1                                               2
## 2                                               2
## 3                                               2
## 4                                               2
## 5                                               2
## 6                                               2
##   intergovernmental_to_national_institutions_acrossigo
## 1                                                    2
## 2                                                    2
## 3                                                    2
## 4                                                    2
## 5                                                    2
## 6                                                    2
##   multi_level_planning_structures_acrossigo
## 1                                         2
## 2                                         2
## 3                                         2
## 4                                         0
## 5                                         0
## 6                                         2
##   policy_alignment_with_national_plans_acrossigo
## 1                                              0
## 2                                              2
## 3                                              0
## 4                                              0
## 5                                              0
## 6                                              0
##   regional_implementing_partners_acrossigo
## 1                                        2
## 2                                        4
## 3                                        4
## 4                                        0
## 5                                        4
## 6                                        4
##   reporting_compliance_mechanisms_acrossigo
## 1                                         0
## 2                                         0
## 3                                         0
## 4                                         4
## 5                                         0
## 6                                         0
##   sectoral_to_national_coordination_acrossigo
## 1                                           0
## 2                                           0
## 3                                           2
## 4                                           2
## 5                                           0
## 6                                           0
##   technical_assistance_to_states_acrossigo un_to_member_states_acrossigo
## 1                                        2                             6
## 2                                        4                             4
## 3                                       10                             6
## 4                                       10                             4
## 5                                        0                             4
## 6                                        6                             4
##   ordinal_score_subject_matter biodiversity_ecosystem_conservation_withinigo
## 1                            6                                      3.333333
## 2                            6                                     10.000000
## 3                            6                                      0.000000
## 4                            4                                     10.000000
## 5                            3                                      0.000000
## 6                            4                                      0.000000
##   cultural_heritage_traditional_knowledge_data_governance_withinigo
## 1                                                                 0
## 2                                                                 0
## 3                                                                 0
## 4                                                                 0
## 5                                                                 0
## 6                                                                 0
##   disaster_risk_reduction_resilience_withinigo
## 1                                            0
## 2                                            0
## 3                                            0
## 4                                            0
## 5                                            0
## 6                                            0
##   environmental_protection_climate_change_withinigo
## 1                                          8.333333
## 2                                         10.000000
## 3                                          4.000000
## 4                                         10.000000
## 5                                          6.666667
## 6                                          4.000000
##   human_rights_social_justice_advocacy_withinigo
## 1                                              0
## 2                                              0
## 3                                              0
## 4                                              0
## 5                                              0
## 6                                              0
##   international_cooperation_governance_withinigo
## 1                                       3.333333
## 2                                      10.000000
## 3                                       2.000000
## 4                                       0.000000
## 5                                      10.000000
## 6                                       4.000000
##   research_science_innovation_withinigo security_safety_withinigo
## 1                                    10                         0
## 2                                    10                         0
## 3                                     6                        10
## 4                                     0                         0
## 5                                     0                         0
## 6                                    10                         0
##   sustainable_development_capacity_building_withinigo
## 1                                            3.333333
## 2                                           10.000000
## 3                                            4.000000
## 4                                            5.000000
## 5                                            3.333333
## 6                                            0.000000
##   trade_investment_economic_cooperation_withinigo
## 1                                               0
## 2                                               0
## 3                                               4
## 4                                               0
## 5                                               0
## 6                                               0
##   biodiversity_ecosystem_conservation_acrossigo
## 1                                      3.333333
## 2                                      1.666667
## 3                                      0.000000
## 4                                      3.333333
## 5                                      0.000000
## 6                                      0.000000
##   cultural_heritage_traditional_knowledge_data_governance_acrossigo
## 1                                                                 0
## 2                                                                 0
## 3                                                                 0
## 4                                                                 0
## 5                                                                 0
## 6                                                                 0
##   disaster_risk_reduction_resilience_acrossigo
## 1                                            0
## 2                                            0
## 3                                            0
## 4                                            0
## 5                                            0
## 6                                            0
##   environmental_protection_climate_change_acrossigo
## 1                                          8.333333
## 2                                          1.666667
## 3                                          3.333333
## 4                                          3.333333
## 5                                          3.333333
## 6                                          3.333333
##   human_rights_social_justice_advocacy_acrossigo
## 1                                              0
## 2                                              0
## 3                                              0
## 4                                              0
## 5                                              0
## 6                                              0
##   international_cooperation_governance_acrossigo
## 1                                       3.333333
## 2                                       1.666667
## 3                                       1.666667
## 4                                       0.000000
## 5                                       5.000000
## 6                                       3.333333
##   research_science_innovation_acrossigo security_safety_acrossigo
## 1                             10.000000                  0.000000
## 2                              1.666667                  0.000000
## 3                              5.000000                  8.333333
## 4                              0.000000                  0.000000
## 5                              0.000000                  0.000000
## 6                              8.333333                  0.000000
##   sustainable_development_capacity_building_acrossigo
## 1                                            3.333333
## 2                                            1.666667
## 3                                            3.333333
## 4                                            1.666667
## 5                                            1.666667
## 6                                            0.000000
##   trade_investment_economic_cooperation_acrossigo ordinal_score_strategies
## 1                                        0.000000                        6
## 2                                        0.000000                        7
## 3                                        3.333333                        4
## 4                                        0.000000                        6
## 5                                        0.000000                        4
## 6                                        0.000000                        5
##   capacity_development_operational_delivery_withinigo
## 1                                           10.000000
## 2                                            3.333333
## 3                                            0.000000
## 4                                            0.000000
## 5                                            5.000000
## 6                                            5.000000
##   collaboration_partnerships_networks_withinigo
## 1                                      3.333333
## 2                                     10.000000
## 3                                      0.000000
## 4                                      0.000000
## 5                                      0.000000
## 6                                      0.000000
##   environmental_climate_biodiversity_action_withinigo
## 1                                            3.333333
## 2                                            6.666667
## 3                                            6.000000
## 4                                            6.666667
## 5                                            0.000000
## 6                                            0.000000
##   financial_budgetary_management_withinigo
## 1                                 3.333333
## 2                                10.000000
## 3                                 4.000000
## 4                                 0.000000
## 5                                 7.500000
## 6                                 2.500000
##   inclusion_rights_social_justice_withinigo
## 1                                         0
## 2                                         0
## 3                                         0
## 4                                         0
## 5                                         0
## 6                                         0
##   innovation_technology_development_withinigo
## 1                                    3.333333
## 2                                    6.666667
## 3                                    2.000000
## 4                                    3.333333
## 5                                    7.500000
## 6                                    0.000000
##   knowledge_research_data_systems_withinigo
## 1                                  0.000000
## 2                                  0.000000
## 3                                  0.000000
## 4                                  6.666667
## 5                                  0.000000
## 6                                  5.000000
##   monitoring_evaluation_accountability_withinigo
## 1                                       0.000000
## 2                                       0.000000
## 3                                       0.000000
## 4                                       6.666667
## 5                                       0.000000
## 6                                       0.000000
##   policy_regulation_legal_frameworks_withinigo
## 1                                     0.000000
## 2                                     6.666667
## 3                                     4.000000
## 4                                    10.000000
## 5                                     2.500000
## 6                                     5.000000
##   strategic_institutional_planning_withinigo
## 1                                         10
## 2                                         10
## 3                                         10
## 4                                         10
## 5                                         10
## 6                                         10
##   capacity_development_operational_delivery_acrossigo
## 1                                            5.000000
## 2                                            1.666667
## 3                                            0.000000
## 4                                            0.000000
## 5                                            3.333333
## 6                                            3.333333
##   collaboration_partnerships_networks_acrossigo
## 1                                      1.666667
## 2                                      5.000000
## 3                                      0.000000
## 4                                      0.000000
## 5                                      0.000000
## 6                                      0.000000
##   environmental_climate_biodiversity_action_acrossigo
## 1                                            1.666667
## 2                                            3.333333
## 3                                            5.000000
## 4                                            3.333333
## 5                                            0.000000
## 6                                            0.000000
##   financial_budgetary_management_acrossigo
## 1                                 1.666667
## 2                                 5.000000
## 3                                 3.333333
## 4                                 0.000000
## 5                                 5.000000
## 6                                 1.666667
##   inclusion_rights_social_justice_acrossigo
## 1                                         0
## 2                                         0
## 3                                         0
## 4                                         0
## 5                                         0
## 6                                         0
##   innovation_technology_development_acrossigo
## 1                                    1.666667
## 2                                    3.333333
## 3                                    1.666667
## 4                                    1.666667
## 5                                    5.000000
## 6                                    0.000000
##   knowledge_research_data_systems_acrossigo
## 1                                  0.000000
## 2                                  0.000000
## 3                                  0.000000
## 4                                  3.333333
## 5                                  0.000000
## 6                                  3.333333
##   monitoring_evaluation_accountability_acrossigo
## 1                                       0.000000
## 2                                       0.000000
## 3                                       0.000000
## 4                                       3.333333
## 5                                       0.000000
## 6                                       0.000000
##   policy_regulation_legal_frameworks_acrossigo
## 1                                     0.000000
## 2                                     3.333333
## 3                                     3.333333
## 4                                     5.000000
## 5                                     1.666667
## 6                                     3.333333
##   strategic_institutional_planning_acrossigo ordinal_score_defined_objectives
## 1                                   5.000000                                6
## 2                                   5.000000                                5
## 3                                   8.333333                                5
## 4                                   5.000000                                4
## 5                                   6.666667                                4
## 6                                   6.666667                                5
##   environmental_action_withinigo financial_stewardship_withinigo
## 1                       2.500000                             0.0
## 2                       3.333333                             0.0
## 3                      10.000000                             0.0
## 4                       0.000000                             0.0
## 5                       0.000000                            10.0
## 6                       0.000000                             7.5
##   governance_planning_withinigo inclusion_rights_withinigo
## 1                           0.0                        0.0
## 2                           0.0                        0.0
## 3                           0.0                        0.0
## 4                           5.0                        0.0
## 5                           5.0                        0.0
## 6                           2.5                        2.5
##   innovation_technology_withinigo knowledge_data_withinigo
## 1                        2.500000                     10.0
## 2                        3.333333                     10.0
## 3                        0.000000                     10.0
## 4                        0.000000                      2.5
## 5                        0.000000                      0.0
## 6                        0.000000                      0.0
##   monitoring_accountability_withinigo operational_delivery_withinigo
## 1                            2.500000                              0
## 2                            3.333333                              0
## 3                            5.000000                              0
## 4                            0.000000                              5
## 5                            0.000000                             10
## 6                            0.000000                              5
##   partnerships_networks_withinigo policy_regulation_withinigo
## 1                             2.5                    2.500000
## 2                             0.0                    3.333333
## 3                             5.0                   10.000000
## 4                             0.0                   10.000000
## 5                             0.0                    5.000000
## 6                             0.0                   10.000000
##   environmental_action_acrossigo financial_stewardship_acrossigo
## 1                            2.5                             0.0
## 2                            2.5                             0.0
## 3                            5.0                             0.0
## 4                            0.0                             0.0
## 5                            0.0                             5.0
## 6                            0.0                             7.5
##   governance_planning_acrossigo inclusion_rights_acrossigo
## 1                           0.0                        0.0
## 2                           0.0                        0.0
## 3                           0.0                        0.0
## 4                           5.0                        0.0
## 5                           2.5                        0.0
## 6                           2.5                        2.5
##   innovation_technology_acrossigo knowledge_data_acrossigo
## 1                             2.5                     10.0
## 2                             2.5                      7.5
## 3                             0.0                      5.0
## 4                             0.0                      2.5
## 5                             0.0                      0.0
## 6                             0.0                      0.0
##   monitoring_accountability_acrossigo operational_delivery_acrossigo
## 1                                 2.5                              0
## 2                                 2.5                              0
## 3                                 2.5                              0
## 4                                 0.0                              5
## 5                                 0.0                              5
## 6                                 0.0                              5
##   partnerships_networks_acrossigo policy_regulation_acrossigo
## 1                             2.5                         2.5
## 2                             0.0                         2.5
## 3                             2.5                         5.0
## 4                             0.0                        10.0
## 5                             0.0                         2.5
## 6                             0.0                        10.0
##   ordinal_score_defined_inter civil_society_engagement_withinigo
## 1                           8                           1.666667
## 2                           6                           5.000000
## 3                           8                           1.666667
## 4                           6                           0.000000
## 5                           5                           0.000000
## 6                           4                           0.000000
##   donor_partnerships_withinigo intergovernmental_consultations_withinigo
## 1                     1.666667                                  1.666667
## 2                     2.500000                                  2.500000
## 3                     3.333333                                  3.333333
## 4                    10.000000                                  0.000000
## 5                     0.000000                                  1.666667
## 6                     0.000000                                  4.000000
##   ngo_engagement_withinigo private_sector_partnerships_withinigo
## 1                 3.333333                                     0
## 2                 2.500000                                     0
## 3                 3.333333                                     0
## 4                 0.000000                                     0
## 5                 0.000000                                     0
## 6                 0.000000                                     0
##   regional_body_coordination_withinigo scientific_community_linkages_withinigo
## 1                             0.000000                                1.666667
## 2                             0.000000                                7.500000
## 3                             0.000000                                1.666667
## 4                            10.000000                               10.000000
## 5                             1.666667                                1.666667
## 6                             4.000000                                0.000000
##   technical_or_expert_groups_withinigo treaty_body_coordination_withinigo
## 1                             1.666667                           1.666667
## 2                             2.500000                           2.500000
## 3                             1.666667                           1.666667
## 4                            10.000000                          10.000000
## 5                             0.000000                           3.333333
## 6                             0.000000                           2.000000
##   un_system_collaboration_withinigo civil_society_engagement_acrossigo
## 1                                10                           1.666667
## 2                                10                           3.333333
## 3                                10                           1.666667
## 4                                10                           0.000000
## 5                                10                           0.000000
## 6                                10                           0.000000
##   donor_partnerships_acrossigo intergovernmental_consultations_acrossigo
## 1                     1.666667                                  1.666667
## 2                     1.666667                                  1.666667
## 3                     3.333333                                  3.333333
## 4                     1.666667                                  0.000000
## 5                     0.000000                                  1.666667
## 6                     0.000000                                  3.333333
##   ngo_engagement_acrossigo private_sector_partnerships_acrossigo
## 1                 3.333333                                     0
## 2                 1.666667                                     0
## 3                 3.333333                                     0
## 4                 0.000000                                     0
## 5                 0.000000                                     0
## 6                 0.000000                                     0
##   regional_body_coordination_acrossigo scientific_community_linkages_acrossigo
## 1                             0.000000                                1.666667
## 2                             0.000000                                5.000000
## 3                             0.000000                                1.666667
## 4                             1.666667                                1.666667
## 5                             1.666667                                1.666667
## 6                             3.333333                                0.000000
##   technical_or_expert_groups_acrossigo treaty_body_coordination_acrossigo
## 1                             1.666667                           1.666667
## 2                             1.666667                           1.666667
## 3                             1.666667                           1.666667
## 4                             1.666667                           1.666667
## 5                             0.000000                           3.333333
## 6                             0.000000                           1.666667
##   un_system_collaboration_acrossigo ordinal_score_sources
## 1                         10.000000                     4
## 2                          6.666667                     3
## 3                         10.000000                     4
## 4                          1.666667                     3
## 5                         10.000000                     2
## 6                          8.333333                     2
##   bilateral_multilateral_arrangements_withinigo binding_secondary_law_withinigo
## 1                                             0                               7
## 2                                             4                               0
## 3                                             0                              10
## 4                                             5                               0
## 5                                             5                               0
## 6                                             5                               0
##   compliance_oversight_withinigo customary_soft_law_withinigo
## 1                            0.0                            0
## 2                            0.0                            0
## 3                            0.0                            0
## 4                            7.5                            0
## 5                            0.0                            0
## 6                            0.0                            0
##   delegated_or_derived_powers_withinigo
## 1                                     5
## 2                                     5
## 3                                     0
## 4                                     0
## 5                                     0
## 6                                     0
##   foundational_treaties_charters_withinigo non_binding_secondary_law_withinigo
## 1                                       10                            6.000000
## 2                                       10                            0.000000
## 3                                       10                            5.555556
## 4                                       10                            0.000000
## 5                                       10                            0.000000
## 6                                       10                            0.000000
##   other_governance_instruments_withinigo strategic_frameworks_withinigo
## 1                                      0                              0
## 2                                      0                              0
## 3                                      0                              0
## 4                                      0                              0
## 5                                      0                              0
## 6                                      0                              0
##   technical_norms_standards_withinigo
## 1                            0.000000
## 2                            0.000000
## 3                            7.777778
## 4                            0.000000
## 5                            0.000000
## 6                            0.000000
##   bilateral_multilateral_arrangements_acrossigo binding_secondary_law_acrossigo
## 1                                      0.000000                        5.833333
## 2                                      3.333333                        0.000000
## 3                                      0.000000                        7.500000
## 4                                      3.333333                        0.000000
## 5                                      3.333333                        0.000000
## 6                                      3.333333                        0.000000
##   compliance_oversight_acrossigo customary_soft_law_acrossigo
## 1                              0                            0
## 2                              0                            0
## 3                              0                            0
## 4                              5                            0
## 5                              0                            0
## 6                              0                            0
##   delegated_or_derived_powers_acrossigo
## 1                              4.166667
## 2                              4.166667
## 3                              0.000000
## 4                              0.000000
## 5                              0.000000
## 6                              0.000000
##   foundational_treaties_charters_acrossigo non_binding_secondary_law_acrossigo
## 1                                 8.333333                            5.000000
## 2                                 8.333333                            0.000000
## 3                                 7.500000                            4.166667
## 4                                 6.666667                            0.000000
## 5                                 6.666667                            0.000000
## 6                                 6.666667                            0.000000
##   other_governance_instruments_acrossigo strategic_frameworks_acrossigo
## 1                                      0                              0
## 2                                      0                              0
## 3                                      0                              0
## 4                                      0                              0
## 5                                      0                              0
## 6                                      0                              0
##   technical_norms_standards_acrossigo ordinal_score_horizontal
## 1                            0.000000                        6
## 2                            0.000000                        6
## 3                            5.833333                        6
## 4                            0.000000                        7
## 5                            0.000000                        4
## 6                            0.000000                        3
##   advocacy_and_communication_withinigo cross_border_initiatives_withinigo
## 1                                   10                                  0
## 2                                   10                                  0
## 3                                   10                                  0
## 4                                   10                                  0
## 5                                   10                                  0
## 6                                   10                                  0
##   cross_sectoral_collaboration_withinigo
## 1                               2.500000
## 2                               3.333333
## 3                               2.500000
## 4                               2.500000
## 5                               5.000000
## 6                              10.000000
##   inter_agency_technical_cooperation_withinigo
## 1                                     2.500000
## 2                                     3.333333
## 3                                     2.500000
## 4                                     7.500000
## 5                                     0.000000
## 6                                     0.000000
##   joint_research_and_projects_withinigo multi_stakeholder_platforms_withinigo
## 1                                     0                              2.500000
## 2                                     0                              3.333333
## 3                                     0                              2.500000
## 4                                     0                              2.500000
## 5                                     0                              0.000000
## 6                                     0                              0.000000
##   peer_to_peer_learning_mechanisms_withinigo
## 1                                        0.0
## 2                                        0.0
## 3                                        0.0
## 4                                        2.5
## 5                                        0.0
## 6                                        0.0
##   regional_economic_community_coordination_withinigo
## 1                                                0.0
## 2                                                0.0
## 3                                                2.5
## 4                                                2.5
## 5                                                0.0
## 6                                               10.0
##   shared_monitoring_frameworks_withinigo thematic_working_groups_withinigo
## 1                               2.500000                          2.500000
## 2                               3.333333                          3.333333
## 3                               0.000000                          2.500000
## 4                               0.000000                          2.500000
## 5                               5.000000                          5.000000
## 6                               0.000000                          0.000000
##   advocacy_and_communication_acrossigo cross_border_initiatives_acrossigo
## 1                             6.666667                                  0
## 2                             5.000000                                  0
## 3                             6.666667                                  0
## 4                             6.666667                                  0
## 5                             3.333333                                  0
## 6                             1.666667                                  0
##   cross_sectoral_collaboration_acrossigo
## 1                               1.666667
## 2                               1.666667
## 3                               1.666667
## 4                               1.666667
## 5                               1.666667
## 6                               1.666667
##   inter_agency_technical_cooperation_acrossigo
## 1                                     1.666667
## 2                                     1.666667
## 3                                     1.666667
## 4                                     5.000000
## 5                                     0.000000
## 6                                     0.000000
##   joint_research_and_projects_acrossigo multi_stakeholder_platforms_acrossigo
## 1                                     0                              1.666667
## 2                                     0                              1.666667
## 3                                     0                              1.666667
## 4                                     0                              1.666667
## 5                                     0                              0.000000
## 6                                     0                              0.000000
##   peer_to_peer_learning_mechanisms_acrossigo
## 1                                   0.000000
## 2                                   0.000000
## 3                                   0.000000
## 4                                   1.666667
## 5                                   0.000000
## 6                                   0.000000
##   regional_economic_community_coordination_acrossigo
## 1                                           0.000000
## 2                                           0.000000
## 3                                           1.666667
## 4                                           1.666667
## 5                                           0.000000
## 6                                           1.666667
##   shared_monitoring_frameworks_acrossigo thematic_working_groups_acrossigo
## 1                               1.666667                          1.666667
## 2                               1.666667                          1.666667
## 3                               0.000000                          1.666667
## 4                               0.000000                          1.666667
## 5                               1.666667                          1.666667
## 6                               0.000000                          0.000000
View(data)

1.2 Clean and Transform the Data

# Ensure Year_cleaned is numeric
data$Year_cleaned <- as.numeric(data$year_founded)

# Calculate the age of each IGO
data <- data %>%
  mutate(IGO_age = 2025 - year_founded)

Derive Variables for Conjecture 1

1.3 Variables for Founding Eras

# Create dummy variables for Founding_Era_Category
data <- data %>%
  mutate(
    era_Pre_1900 = ifelse(founding_era_category == "Early Founding Years (Pre-1900)", 1, 0),
    era_1900_1918 = ifelse(founding_era_category == "Early 20th Century (1900-1945)", 1, 0),
    era_1919_1945 = ifelse(founding_era_category == "Interwar & League Era", 1, 0),
    era_1946_1959 = ifelse(founding_era_category == "Post-WWII Boom (1946-1960)", 1, 0),
    era_1960_1979 = ifelse(founding_era_category == "Cold War Developmentalism (1960-1979)", 1, 0),
    era_1980_1989 = ifelse(founding_era_category == "Late Cold War & Restructuring (1980-1989)", 1, 0),
    era_1990_1999 = ifelse(founding_era_category == "Post-Cold War & Globalisation (1990-1999)", 1, 0),
    era_2000_2009 = ifelse(founding_era_category == "Early 21st-Century Multilateralism (2000-2009)", 1, 0),
    era_2010_2019 = ifelse(founding_era_category == "SDG & Climate Action Era (2010-2019)", 1, 0),
    era_2020_Present = ifelse(founding_era_category == "Resilience & Polycrisis Governance (2020-Present)", 1, 0)
  )

1.4 Spatial and Subject-Matter Breadth Scores

# Calculate spatial breadth score
spatial_cols <- grep("_withinigo|_acrossigo", names(data), value = TRUE)
spatial_cols <- spatial_cols[grepl("archipelago|coastal|eez|continental_shelf|high_seas", spatial_cols)]

data <- data %>%
  mutate(spatial_breadth_score = rowSums(select(., all_of(spatial_cols)), na.rm = TRUE))

# Calculate subject-matter breadth score
subject_matter_cols <- grep("biodiversity|climate|trade|security|disaster|environmental|human_rights|international|research|sustainable|inclusion|innovation|knowledge|monitoring|policy|strategic", names(data), value = TRUE)

data <- data %>%
  mutate(subject_matter_breadth_score = rowSums(select(., all_of(subject_matter_cols)), na.rm = TRUE))

1.5 Coordination Scores

# Calculate vertical coordination score
vertical_coordination_cols <- grep("vertical|un_to_member|policy_alignment", names(data), value = TRUE)
data <- data %>%
  mutate(vertical_coordination_score = rowMeans(select(., all_of(vertical_coordination_cols)), na.rm = TRUE))

# Calculate horizontal coordination score
horizontal_coordination_cols <- grep("horizontal|cross_sector|multi_stakeholder", names(data), value = TRUE)
data <- data %>%
  mutate(horizontal_coordination_score = rowMeans(select(., all_of(horizontal_coordination_cols)), na.rm = TRUE))

1.6 Strategic Diversity Score

# Calculate strategic diversity score
strategy_cols <- grep("strategic|objective|innovation|environmental_action", names(data), value = TRUE)
data <- data %>%
  mutate(strategic_diversity_score = rowSums(select(., all_of(strategy_cols)) > 0, na.rm = TRUE))

Derive Variables for Conjecture 2

Organisational Density, Niche Differentiation, and Adaptive Capacity

1.7 Founding Density and Specialization

# Calculate specialisation score
data <- data %>%
  mutate(specialisation_score = 1 / (spatial_breadth_score + subject_matter_breadth_score + 1e-6))

# Calculate founding density quartile
data <- data %>%
  mutate(founding_density_quartile = ntile(foundingdensity_5yr, 4))

1.8 Niche Differentiation Score

# Calculate niche differentiation score
data <- data %>%
  mutate(niche_differentiation_score = paste(spatial_breadth_score, subject_matter_breadth_score, sep = "_")) %>%
  group_by(niche_differentiation_score) %>%
  mutate(niche_count = n()) %>%
  ungroup() %>%
  mutate(niche_differentiation_score = 1 / niche_count)

1.10 Strategy Breadth Score

# Calculate strategy breadth score
data <- data %>%
  mutate(strategy_breadth_score = rowSums(select(., all_of(strategy_cols)) > 0, na.rm = TRUE))

1.11 Density Squared

# Calculate density squared
data <- data %>%
  mutate(density_squared = foundingdensity_5yr^2)

Derive Variables for Conjecture 3

Embeddedness, Legitimacy, and Efficacy

1.12 Legitimacy Score

# Calculate legitimacy score using PCA
legitimacy_vars <- c("legal_authority_score", "spatial_breadth_score", "subject_matter_breadth_score",
                     "vertical_coordination_score", "horizontal_coordination_score", "strategic_diversity_score")
legitimacy_pca <- prcomp(select(data, all_of(legitimacy_vars)), scale. = TRUE)
data$legitimacy_score <- legitimacy_pca$x[, 1]

1.13 Adaptive Capacity Score

# Calculate adaptive capacity score using PCA
adaptive_vars <- c("strategy_breadth_score", "niche_differentiation_score", "founding_density_quartile", "specialisation_score")
adaptive_pca <- prcomp(select(data, all_of(adaptive_vars)), scale. = TRUE)
data$adaptive_capacity_score <- adaptive_pca$x[, 1]

2. Descriptive Analysis

2.1 Summary Statistics

summary_stats <- data %>%
  select(year_founded, IGO_age, founding_era_category, cumulativestock) %>%
  summary()

print(summary_stats)
##   year_founded     IGO_age       founding_era_category cumulativestock
##  Min.   :1865   Min.   : 12.00   Length:48             Min.   : 1.00  
##  1st Qu.:1952   1st Qu.: 32.75   Class :character      1st Qu.:12.75  
##  Median :1967   Median : 58.00   Mode  :character      Median :25.00  
##  Mean   :1968   Mean   : 56.52                         Mean   :24.77  
##  3rd Qu.:1992   3rd Qu.: 72.50                         3rd Qu.:36.25  
##  Max.   :2013   Max.   :160.00                         Max.   :48.00

2.2 Visualize the Distribution of IGOs by Founding Era

library(ggplot2)

ggplot(data, aes(x = founding_era_category, fill = founding_era_category)) +
  geom_bar() +
  labs(title = "Figure 1 Number of IGOs by Founding Era", x = "Founding Era", y = "Count") +
  theme_minimal() +
  theme(axis.text.x = element_text(angle = 45, hjust = 1))

The Figure 1 shows the distribution of IGOs across different founding eras:

  • Post-WWII Boom (1946-1960) and Post-Cold War (1991-2000) eras have the highest number of IGOs founded, indicating periods of significant institutional growth.
  • Cold War Era I (1961-1970) and Cold War Era II (1971-1980) also show substantial activity, reflecting the geopolitical and economic dynamics of those times.

  • Early 20th Century (1900-1945) and Early Founding Years (Pre-1900) have fewer IGOs, likely due to the nascent stage of international cooperation.

  • SDG & Climate Action Era (2011-2020) and Globalisation Era (2001-2010) show renewed interest in global governance, particularly around sustainability and climate action.

2.3 Visualize Founding Density Over Time

library(tidyverse)
library(ggrepel)

# Identify peaks in founding density
peaks <- data %>%
  filter(foundingdensity_5yr == max(foundingdensity_5yr)) 

# Create the plot with annotations for peaks
ggplot(data, aes(x = year_founded, y = foundingdensity_5yr, group = 1)) +
  geom_line() +
  geom_point() +
  geom_point(data = peaks, aes(x = year_founded, y = foundingdensity_5yr), color = "red", size = 3) +
  geom_label_repel(
    data = peaks,
    aes(x = year_founded, y = foundingdensity_5yr, label = institution),
    box.padding = 0.5,
    segment.color = "grey50",
    nudge_y = 5
  ) +
  labs(
    title = "Figure 2 Founding Density of IGOs Over Time with Peaks and Significant IGOs",
    x = "Year Founded",
    y = "Founding Density (5yr)"
  ) +
  theme_minimal()

The Figure 2 is line plot with annotations highlights the founding density of IGOs over time:

  • Peaks in Founding Density: The most notable peak occurs around 1994, with a founding density of 8 IGOs within a 5-year window. Significant IGOs founded during this peak include:
  • OHCHR (Office of the United Nations High Commissioner for Human Rights)
-   **ISA (International Seabed Authority)**

-    **UNCCD (United Nations Convention to Combat Desertification)**

-   **UNOPS (United Nations Office for Project Services)**
  • Other Peaks: There are smaller peaks around the mid-1940s and mid-1960s, reflecting the post-WWII and Cold War eras.

2.4 Visualize Cumulative Stock Over Time

# Identify years with significant increases in cumulative stock
significant_increases <- data %>%
  mutate(cumulative_increase = cumulativestock - lag(cumulativestock, default = first(cumulativestock))) %>%
  filter(cumulative_increase > median(cumulative_increase, na.rm = TRUE))  # Filter for significant increases

# Create the plot with annotations for significant increases
ggplot(data, aes(x = year_founded, y = cumulativestock, group = 1)) +
  geom_line() +
  geom_point() +
  geom_point(data = significant_increases, aes(x = year_founded, y = cumulativestock), color = "blue", size = 3) +
  geom_label_repel(
    data = significant_increases,
    aes(x = year_founded, y = cumulativestock, label = institution),
    box.padding = 0.5,
    segment.color = "grey50",
    nudge_y = 50
  ) +
  labs(
    title = "Figure 3 Cumulative Stock of IGOs Over Time with Significant IGOs",
    x = "Year Founded",
    y = "Cumulative Stock"
  ) +
  theme_minimal()
## Warning: ggrepel: 12 unlabeled data points (too many overlaps). Consider
## increasing max.overlaps

The Figure 3 is a line plot shows the cumulative stock of IGOs over time, with annotations for significant IGOs:

  • Rapid Growth Periods: The cumulative stock of IGOs increases rapidly during the Post-WWII Boom (1946-1960) and Post-Cold War (1991-2000) eras.

  • Significant IGOs:

-   **IMF (International Monetary Fund)** and **UNICEF (United Nations Children's Fund)** were significant during the early growth phase.

-   **IMO (International Maritime Organization)**, **IOC (Intergovernmental Oceanographic Commission)**, **OECD (Organisation for Economic Co-operation and Development)**, and **UNIDO (United Nations Industrial Development Organization)** were key during the Cold War eras.

-   **UNFPA (United Nations Population Fund)** marks a significant point in the cumulative stock during the Globalisation Era.

Hypothesis Testing for All Conjectures

Conjecture 1: Institutional Design, Coordination, and Endurance

H1.1: Historical Maturity and Endurance

model_h1.1 <- lm(IGO_age ~ era_Pre_1900 + era_1900_1918 + era_1919_1945 +
                   era_1946_1959 + era_1960_1979 + era_1980_1989 +
                   era_1990_1999 + era_2000_2009 + era_2010_2019,
                 data = data)
summary(model_h1.1)
## 
## Call:
## lm(formula = IGO_age ~ era_Pre_1900 + era_1900_1918 + era_1919_1945 + 
##     era_1946_1959 + era_1960_1979 + era_1980_1989 + era_1990_1999 + 
##     era_2000_2009 + era_2010_2019, data = data)
## 
## Residuals:
##      Min       1Q   Median       3Q      Max 
## -29.2812 -10.2813   0.3594  11.7187  27.1667 
## 
## Coefficients: (6 not defined because of singularities)
##               Estimate Std. Error t value Pr(>|t|)    
## (Intercept)     41.281      2.733  15.106  < 2e-16 ***
## era_Pre_1900   118.719     15.699   7.562 1.73e-09 ***
## era_1900_1918   54.552      6.877   7.932 5.05e-10 ***
## era_1919_1945       NA         NA      NA       NA    
## era_1946_1959   31.719      5.833   5.438 2.24e-06 ***
## era_1960_1979       NA         NA      NA       NA    
## era_1980_1989       NA         NA      NA       NA    
## era_1990_1999       NA         NA      NA       NA    
## era_2000_2009       NA         NA      NA       NA    
## era_2010_2019       NA         NA      NA       NA    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 15.46 on 44 degrees of freedom
## Multiple R-squared:  0.7395, Adjusted R-squared:  0.7218 
## F-statistic: 41.64 on 3 and 44 DF,  p-value: 6.532e-13

H1.2: Mandate Breadth and Endurance

model_h1.2 <- lm(IGO_age ~ spatial_breadth_score + subject_matter_breadth_score, data = data)
summary(model_h1.2)
## 
## Call:
## lm(formula = IGO_age ~ spatial_breadth_score + subject_matter_breadth_score, 
##     data = data)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -45.020 -25.239   2.989  13.684  98.103 
## 
## Coefficients:
##                              Estimate Std. Error t value Pr(>|t|)    
## (Intercept)                   80.8642    22.1413   3.652 0.000675 ***
## spatial_breadth_score          0.1855     0.3282   0.565 0.574750    
## subject_matter_breadth_score  -0.2050     0.1657  -1.238 0.222247    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 29.4 on 45 degrees of freedom
## Multiple R-squared:  0.03642,    Adjusted R-squared:  -0.00641 
## F-statistic: 0.8503 on 2 and 45 DF,  p-value: 0.434

H1.3: Coordination Mechanisms and Endurance

model_h1.3 <- lm(IGO_age ~ vertical_coordination_score + horizontal_coordination_score, data = data)
summary(model_h1.3)
## 
## Call:
## lm(formula = IGO_age ~ vertical_coordination_score + horizontal_coordination_score, 
##     data = data)
## 
## Residuals:
##    Min     1Q Median     3Q    Max 
## -38.85 -20.98  -1.26  14.96  81.20 
## 
## Coefficients:
##                               Estimate Std. Error t value Pr(>|t|)  
## (Intercept)                     12.452     21.560   0.578   0.5664  
## vertical_coordination_score      4.284      4.233   1.012   0.3169  
## horizontal_coordination_score    9.316      3.619   2.574   0.0134 *
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 27.8 on 45 degrees of freedom
## Multiple R-squared:  0.1385, Adjusted R-squared:  0.1002 
## F-statistic: 3.618 on 2 and 45 DF,  p-value: 0.03492

H1.4: Strategic Diversification and Endurance

model_h1.4 <- lm(IGO_age ~ strategic_diversity_score, data = data)
summary(model_h1.4)
## 
## Call:
## lm(formula = IGO_age ~ strategic_diversity_score, data = data)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -51.382 -17.138   0.316  14.415 102.013 
## 
## Coefficients:
##                           Estimate Std. Error t value Pr(>|t|)
## (Intercept)                 29.206     22.234   1.314    0.196
## strategic_diversity_score    3.198      2.556   1.251    0.217
## 
## Residual standard error: 29.13 on 46 degrees of freedom
## Multiple R-squared:  0.03291,    Adjusted R-squared:  0.01188 
## F-statistic: 1.565 on 1 and 46 DF,  p-value: 0.2172

Conjecture 2: Organisational Density, Niche Differentiation, and Adaptive Capacity

H2.1: Density and Specialization

model_h2.1 <- lm(specialisation_score ~ founding_density_quartile, data = data)
summary(model_h2.1)
## 
## Call:
## lm(formula = specialisation_score ~ founding_density_quartile, 
##     data = data)
## 
## Residuals:
##        Min         1Q     Median         3Q        Max 
## -0.0024816 -0.0011586 -0.0004481  0.0005553  0.0040608 
## 
## Coefficients:
##                            Estimate Std. Error t value Pr(>|t|)    
## (Intercept)               0.0064611  0.0005938  10.881 2.59e-14 ***
## founding_density_quartile 0.0002889  0.0002168   1.333    0.189    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 0.001679 on 46 degrees of freedom
## Multiple R-squared:  0.03717,    Adjusted R-squared:  0.01624 
## F-statistic: 1.776 on 1 and 46 DF,  p-value: 0.1892

H2.3: Niche Differentiation

model_h2.3 <- lm(niche_differentiation_score ~ foundingdensity_5yr , data = data)
summary(model_h2.3)
## 
## Call:
## lm(formula = niche_differentiation_score ~ foundingdensity_5yr, 
##     data = data)
## 
## Residuals:
##      Min       1Q   Median       3Q      Max 
## -0.48072  0.00064  0.01928  0.02860  0.05657 
## 
## Coefficients:
##                      Estimate Std. Error t value Pr(>|t|)    
## (Intercept)          1.018008   0.033106  30.750   <2e-16 ***
## foundingdensity_5yr -0.009322   0.007147  -1.304    0.199    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 0.1002 on 46 degrees of freedom
## Multiple R-squared:  0.03567,    Adjusted R-squared:  0.0147 
## F-statistic: 1.701 on 1 and 46 DF,  p-value: 0.1986

H2.4: Adaptive Portfolios and Non-linear Density Effects

model_h2.4 <- lm(strategy_breadth_score ~ foundingdensity_5yr + density_squared, data = data)
summary(model_h2.4)
## 
## Call:
## lm(formula = strategy_breadth_score ~ foundingdensity_5yr + density_squared, 
##     data = data)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -3.8532 -0.9891  0.1468  0.7473  2.7473 
## 
## Coefficients:
##                     Estimate Std. Error t value Pr(>|t|)    
## (Intercept)          8.39894    1.01576   8.269 1.41e-10 ***
## foundingdensity_5yr  0.38943    0.49582   0.785    0.436    
## density_squared     -0.06897    0.05325  -1.295    0.202    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 1.597 on 45 degrees of freedom
## Multiple R-squared:  0.1169, Adjusted R-squared:  0.07769 
## F-statistic:  2.98 on 2 and 45 DF,  p-value: 0.06092

Conjecture 3: Embeddedness, Legitimacy, and Efficacy

H3.2: Mandate Breadth and Legitimacy

model_h3.2 <- lm(legitimacy_score ~ spatial_breadth_score + subject_matter_breadth_score, data = data)
summary(model_h3.2)
## 
## Call:
## lm(formula = legitimacy_score ~ spatial_breadth_score + subject_matter_breadth_score, 
##     data = data)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -0.9972 -0.4315 -0.1538  0.3484  1.2315 
## 
## Coefficients:
##                               Estimate Std. Error t value Pr(>|t|)    
## (Intercept)                   4.997826   0.442798  11.287 1.03e-14 ***
## spatial_breadth_score        -0.046846   0.006564  -7.137 6.38e-09 ***
## subject_matter_breadth_score -0.032831   0.003313  -9.909 6.92e-13 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 0.588 on 45 degrees of freedom
## Multiple R-squared:  0.7906, Adjusted R-squared:  0.7813 
## F-statistic: 84.96 on 2 and 45 DF,  p-value: 5.264e-16

H3.3: Relational Embeddedness and Legitimacy

model_h3.3 <- lm(legitimacy_score ~ vertical_coordination_score + horizontal_coordination_score, data = data)
summary(model_h3.3)
## 
## Call:
## lm(formula = legitimacy_score ~ vertical_coordination_score + 
##     horizontal_coordination_score, data = data)
## 
## Residuals:
##      Min       1Q   Median       3Q      Max 
## -2.46700 -0.58808 -0.01536  0.53391  3.08462 
## 
## Coefficients:
##                               Estimate Std. Error t value Pr(>|t|)   
## (Intercept)                    -2.5874     0.9105  -2.842  0.00672 **
## vertical_coordination_score     0.3913     0.1788   2.189  0.03384 * 
## horizontal_coordination_score   0.3393     0.1528   2.220  0.03148 * 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 1.174 on 45 degrees of freedom
## Multiple R-squared:  0.1652, Adjusted R-squared:  0.1281 
## F-statistic: 4.453 on 2 and 45 DF,  p-value: 0.0172

H3.4: Strategy Breadth and Legitimacy

model_h3.4 <- lm(legitimacy_score ~ strategy_breadth_score, data = data)
summary(model_h3.4)
## 
## Call:
## lm(formula = legitimacy_score ~ strategy_breadth_score, data = data)
## 
## Residuals:
##      Min       1Q   Median       3Q      Max 
## -2.08163 -0.71328  0.05808  0.68264  2.71258 
## 
## Coefficients:
##                        Estimate Std. Error t value Pr(>|t|)    
## (Intercept)             3.94319    0.76829   5.132 5.63e-06 ***
## strategy_breadth_score -0.46164    0.08832  -5.227 4.09e-06 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 1.007 on 46 degrees of freedom
## Multiple R-squared:  0.3726, Adjusted R-squared:  0.359 
## F-statistic: 27.32 on 1 and 46 DF,  p-value: 4.092e-06
library(ggplot2)

# Example: Visualize the relationship between IGO_age and spatial_breadth_score
ggplot(data, aes(x = spatial_breadth_score, y = IGO_age)) +
  geom_point() +
  geom_smooth(method = "lm", se = FALSE) +
  labs(title = "Relationship between Spatial Breadth and IGO Age", x = "Spatial Breadth Score", y = "IGO Age") +
  theme_minimal()
## `geom_smooth()` using formula = 'y ~ x'