A. Appendix Table A.1. Numbered communities of Betania to be used along this paper as Community ID indexes 1 Betania 12 Club X 23 Villa Soberanía 2 El Ingenio 13 Linda Vista 24 Altos De Miraflores 3 La Gloria 14 Miraflores 25 Altos Del Chase 4 La Loceria 15 Nuevo Paraíso 26 Colinas De Miraflores 5 Los Libertadores 16 Pribanco 27 Dos Mares 6 Santa Maria 17 Residencial Sara Sotillo 28 El Dorado 7 Villa Cáceres 18 San Antonio 29 El Milagro 8 Condado Del 19 30 Rey San José La Alameda 9 Corona Gardens 20 Urbanización Colonial 31 Los Angeles 10 Alto De Betania 21 Urbanización Industrial 32 Villa De Las Fuentes 11 22 Urbanización Las 33 Villa De Las Fuentes Altos De Correza Mercedes No.2 Table A.2. Acronyms, statistical results and coefficient values for the variables used in Equations 1 to 8. Variables names referring to individual (ind), household (hh), community (com), observed (obs), available (ava), calculated (cal), estimated (est), regressed (reg). 4x4 size diagonal matrix describing the MSW generation per individual and day, estimated from the observed — i.e. measured — median MSW generation values per household per day of the 4 communities for 𝒅𝒊𝒂𝒈(𝑾𝒊𝒏𝒅𝟒𝟒 )𝒉𝒉+𝒆𝒔𝒕 which they belong to 𝒅𝒊𝒂𝒈(𝑾𝒉𝒉𝟒𝟒 )𝒉𝒉+𝒐𝒃𝒔 divided by the observed — i.e. surveyed — total individuals living in each household (𝒅𝒊𝒂𝒈(𝑷𝒊𝒏𝒅𝟒𝟒 )𝒉𝒉+𝒐𝒃𝒔 .) 4x4 size diagonal matrix representing the observed — i.e. measured — median MSW generation values per 𝒅𝒊𝒂𝒈(𝑾𝒉𝒉𝟒𝟒 )𝒉𝒉+𝒐𝒃𝒔 household per day for 600 households in 4 communities of Betania, 150 per community. 4x4 size diagonal matrix representing the observed — i.e. surveyed — total individuals per household in the 4 𝒅𝒊𝒂𝒈(𝑷𝒊𝒏𝒅𝟒𝟒 )𝒉𝒉+𝒐𝒃𝒔 sampled communities of the town of Betania. 4x4 size diagonal matrix representing the “Household 𝒅𝒊𝒂𝒈(𝑰𝒉𝒉𝟒𝟒 )𝒉𝒉+𝒂𝒗𝒂 median monthly income” officially available data for the 4 communities sampled in the town of Betania. ii size diagonal matrix representing the MSW generation values per individual and day of the linear regression model obtained with 𝒅𝒊𝒂𝒈(𝑾𝒊𝒏𝒅𝟒𝟒 )𝒉𝒉+𝒆𝒔𝒕 𝒅𝒊𝒂𝒈(𝑾𝒊𝒏𝒅𝒊𝒊 )𝒉𝒉+𝒓𝒆𝒈 as dependent variable and 𝒅𝒊𝒂𝒈(𝑰𝒉𝒉𝒊𝒊 )𝟒𝟒+𝒂𝒗𝒂 as independent variable for the i communities of the town to which households belong. ii size diagonal matrix for the intercept value of the linear regression model obtained for (𝜷𝒐 𝑱𝒊𝒊 )𝒉𝒉 𝒅𝒊𝒂𝒈(𝑾𝒊𝒏𝒅𝒊𝒊 )𝒉𝒉+𝒓𝒆𝒈 p-value: 0.62, std. error: 1.63e-01. Scalar coefficient for the independent variable 𝒅𝒊𝒂𝒈(𝑰𝒉𝒉𝒊𝒊 )𝒉𝒉+𝒂𝒗𝒂 of the linear regression model obtained for 𝒅𝒊𝒂𝒈(𝑾𝒊𝒏𝒅𝒊𝒊 )𝒉𝒉+𝒓𝒆𝒈 . (𝜷𝟏 )𝒉𝒉 p-value: 0.07, std. error: 5.15e-05, confidence interval: (-4.33e-05, 4.00e-05). ii size diagonal matrix representing the variable “Household median monthly income” for the i 𝒅𝒊𝒂𝒈(𝑰𝒉𝒉𝒊𝒊 )𝒉𝒉+𝒂𝒗𝒂 communities of the town to which households belong. r (effect size): 0.93, Min.: 2.60e03, 1st Qu.: 2.81e03 , Median: 3.15e03, Mean: 3.14e03, 3rd Qu.: 3.47e03 , Max.: 3.66e03. 1x33 size diagonal matrix representing the MSW generation values per individual and day for the 33 communities that make up the town of Betania, 𝒅𝒊𝒂𝒈(𝑾𝒊𝒏𝒅𝟏𝟑𝟑 )𝒉𝒉+𝒄𝒂𝒍 calculated from 𝒅𝒊𝒂𝒈(𝑾𝒊𝒏𝒅𝒊𝒊 )𝒉𝒉+𝒓𝒆𝒈 . 1x33 size diagonal matrix representing the total individuals living in each household for the 33 𝒅𝒊𝒂𝒈(𝑷𝒊𝒏𝒅𝟏𝟑𝟑 )𝒉𝒉+𝒂𝒗𝒂 communities that make up the town of Betania. 1x33 size diagonal matrix representing the MSW generation values per household and day for the 33 communities that make up the town of Betania, 𝒅𝒊𝒂𝒈(𝑾𝒉𝒉𝟏𝟑𝟑 )𝒊𝒏𝒅+𝒄𝒂𝒍 calculated from the aggregation of 𝒅𝒊𝒂𝒈(𝑾𝒊𝒏𝒅𝟏𝟑𝟑 )𝒉𝒉+𝒄𝒂𝒍 by 𝒅𝒊𝒂𝒈(𝑷𝒊𝒏𝒅𝟏𝟑𝟑 )𝒉𝒉+𝒂𝒗𝒂 . 1x33 size diagonal matrix representing the variable “Community indigenous population” for the 33 communities that make up the town of Betania. 𝒅𝒊𝒂𝒈(𝑰𝑵𝑫𝟏𝟑𝟑 )𝒄𝒐𝒎+𝒂𝒗𝒂 r (effect size): -0.46, Min.: 0.00, 1st Qu.: 2.60, Median: 14.36, Mean: 18.97, 3rd Qu.: 23.35, Max.: 65.07. 1x33 size diagonal matrix representing the variable “Community median monthly income of active population” for the 33 communities that make up the town of Betania. 𝒅𝒊𝒂𝒈(𝑰𝒄𝒐𝒎𝟏𝟑𝟑 )𝒄𝒐𝒎+𝒂𝒗𝒂 r (effect size): -0.12, Min.: 1.25e05, 1st Qu.: 7.18e05 , Median: 2.41e06, Mean: 3.06e06, 3rd Qu.: 5.66e06, Max.: 7.95e06 1x33 size diagonal matrix representing the variable “Community population without social security” for the 33 communities that make up the town of Betania. 𝒅𝒊𝒂𝒈(𝑵𝑶𝑺𝑺𝟏𝟑𝟑 )𝒄𝒐𝒎+𝒂𝒗𝒂 r (effect size): -0.31, Min.: 12.96, 1st Qu.: 59.64 , Median: 260.43, Mean: 423.23, 3rd Qu.: 701.19, Max.: 1411.12 1x33 size diagonal matrix representing the variable “Community population with less than 3rd grade of primary school approved” for the 33 communities that make up the town of Betania. 𝒅𝒊𝒂𝒈(𝑳𝑻𝑮𝟏𝟑𝟑 )𝒄𝒐𝒎+𝒂𝒗𝒂 r (effect size): -0.34, Min.: 0.000, 1st Qu.: 3.89 , Median: 14.26, Mean: 23.49, 3rd Qu.: 33.70, Max.: 102.38 1x33 size diagonal matrix representing the variable “Community illiterate population” for the 33 communities that make up the town of Betania. 𝒅𝒊𝒂𝒈(𝑰𝑳𝑳𝟏𝟑𝟑 )𝒄𝒐𝒎+𝒂𝒗𝒂 r (effect size): -0.36, Min.: 0, 1st Qu.: 1.30, Median: 6.48, Mean: 10.13, 3rd Qu.: 16.85, Max.: 44.06 ii size diagonal matrix representing the MSW generation values per household and day of the linear regression model obtained with 𝒅𝒊𝒂𝒈(𝑾𝒉𝒉𝟏𝟑𝟑 )𝒊𝒏𝒅+𝒄𝒂𝒍 as dependent variable and 𝒅𝒊𝒂𝒈(𝑾𝒉𝒉𝒊𝒊 )𝒄𝒐𝒎+𝒓𝒆𝒈 𝒅𝒊𝒂𝒈(𝑰𝑵𝑫𝟏𝟑𝟑 )𝒄𝒐𝒎+𝒂𝒗𝒂 𝒅𝒊𝒂𝒈(𝑰𝒄𝒐𝒎𝟏𝟑𝟑 )𝒄𝒐𝒎+𝒂𝒗𝒂 , 𝒅𝒊𝒂𝒈(𝑵𝑶𝑺𝑺𝟏𝟑𝟑 )𝒄𝒐𝒎+𝒂𝒗𝒂 , 𝒅𝒊𝒂𝒈(𝑳𝑻𝑮𝟏𝟑𝟑 )𝒄𝒐𝒎+𝒂𝒗𝒂 and 𝒅𝒊𝒂𝒈(𝑰𝑳𝑳𝟏𝟑𝟑 )𝒄𝒐𝒎+𝒂𝒗𝒂 as independent variable for the i communities of the town to which households belong. ii size diagonal matrix representing the formalization of the variable “Community indigenous population” for 𝒅𝒊𝒂𝒈(𝑰𝑵𝑫𝒊𝒊 )𝒄𝒐𝒎+𝒂𝒗𝒂 the community where the MSW generating households are located. ii size diagonal matrix representing the formalization of 𝒅𝒊𝒂𝒈(𝑰𝒄𝒐𝒎𝒊𝒊 )𝒄𝒐𝒎+𝒂𝒗𝒂 the variable “Community median monthly income of active population” for the community where the MSW generating households are located. ii size diagonal matrix representing the formalization of the variable “Community population without social 𝒅𝒊𝒂𝒈(𝑵𝑶𝑺𝑺𝒊𝒊 )𝒄𝒐𝒎+𝒂𝒗𝒂 security” for the community where the MSW generating households are located. ii size diagonal matrix representing the formalization of the variable “Community population with less than 3rd 𝒅𝒊𝒂𝒈(𝑳𝑻𝑮𝒊𝒊 )𝒄𝒐𝒎+𝒂𝒗𝒂 grade of primary school approved” for the community where the MSW generating households are located. ii size diagonal matrix representing the formalization of the variable “Community illiterate population” for the 𝒅𝒊𝒂𝒈(𝑰𝑳𝑳𝒊𝒊 )𝒄𝒐𝒎+𝒂𝒗𝒂 community where the MSW generating households are located. ii size intercept value diagonal matrix of the linear regression model obtained for 𝒅𝒊𝒂𝒈(𝑾𝒉𝒉𝒊𝒊 )𝒄𝒐𝒎+𝒓𝒆𝒈 . (𝜷𝒐 𝑱𝒊𝒊 )𝒄𝒐𝒎 p-value: 3.50e-13, std. error: 1.39e-01, confidence interval: (1.53, 2.11) (𝜷𝟏 )𝒄𝒐𝒎 Scalar coefficient for the independent variable 𝒅𝒊𝒂𝒈(𝑰𝑵𝑫𝒊𝒊 )𝒄𝒐𝒎+𝒂𝒗𝒂 of the linear regression model obtained for 𝒅𝒊𝒂𝒈(𝑾𝒉𝒉𝒊𝒊 )𝒄𝒐𝒎+𝒓𝒆𝒈 . p-value: 0.003 , std. error: 7.88e-03, confidence interval: (-4.16e-02, -9.31e-03), VIF´S = 2.93 Scalar coefficient for the independent variable 𝒅𝒊𝒂𝒈(𝑰𝒄𝒐𝒎𝒊𝒊 )𝒄𝒐𝒎+𝒂𝒗𝒂 of the linear regression model obtained for 𝒅𝒊𝒂𝒈(𝑾𝒉𝒉𝒊𝒊 )𝒄𝒐𝒎+𝒓𝒆𝒈 . (𝜷𝟐 )𝒄𝒐𝒎 p-value: 6.43e-5, std. error: 1.09e-07, confidence interval: (2.91e-07, 7.38e-07), VIF´S = 10.80 Scalar coefficient for the independent variable 𝒅𝒊𝒂𝒈(𝑵𝑶𝑺𝑺𝒊𝒊 )𝒄𝒐𝒎+𝒂𝒗𝒂 of the linear regression model obtained for 𝒅𝒊𝒂𝒈(𝑾𝒉𝒉𝒊𝒊 )𝒄𝒐𝒎+𝒓𝒆𝒈 . (𝜷𝟑 )𝒄𝒐𝒎 p-value: 0.0006, std. error: 9.62e-04, confidence interval: (-5.69e-03, -1.74e-03), VIF´S = 21.13 Scalar coefficient for the independent variable 𝒅𝒊𝒂𝒈(𝑳𝑻𝑮𝒊𝒊 )𝒄𝒐𝒎+𝒂𝒗𝒂 of the linear regression model obtained for 𝒅𝒊𝒂𝒈(𝑾𝒉𝒉𝒊𝒊 )𝒄𝒐𝒎+𝒓𝒆𝒈 . (𝜷𝟒 )𝒄𝒐𝒎 p-value: 0.006, std. error: 1.99e-02, confidence interval: (1.87e-02, 1.01e-01), VIF´S = 34.16 (𝜷𝟓 )𝒄𝒐𝒎 Scalar coefficient for the independent variable 𝒅𝒊𝒂𝒈(𝑰𝑳𝑳𝒊𝒊 )𝒄𝒐𝒎+𝒂𝒗𝒂 of the linear regression model obtained for 𝒅𝒊𝒂𝒈(𝑾𝒉𝒉𝒊𝒊 )𝒄𝒐𝒎+𝒓𝒆𝒈 . p-value: 0.025, std. error: 3.98e-02, confidence interval: (-1.76e-01, -1.31e-02), VIF´S = 25.64 1x33 size diagonal matrix representing the MSW generation values per household and day for the 33 communities that make up the town of Betania, 𝒅𝒊𝒂𝒈(𝑾𝒉𝒉𝟏𝟑𝟑 )𝒄𝒐𝒎+𝒄𝒂𝒍 calculated from 𝒅𝒊𝒂𝒈(𝑾𝒉𝒉𝒊𝒊 )𝒄𝒐𝒎+𝒓𝒆𝒈 . 1x33 size diagonal matrix representing the total households located in each of the 33 communities of 𝒅𝒊𝒂𝒈(𝑷𝒉𝒉𝟏𝟑𝟑 )𝒄𝒐𝒎+𝒂𝒗𝒂 the town of Betania. 1x33 size diagonal matrix representing the MSW generation values per community and day for the 33 communities that make up the town of Betania, 𝒅𝒊𝒂𝒈(𝑾𝒄𝒐𝒎𝟏𝟑𝟑 )𝒉𝒉+𝒄𝒂𝒍 calculated from the aggregation of 𝒅𝒊𝒂𝒈(𝑾𝒉𝒉𝟏𝟑𝟑 )𝒄𝒐𝒎+𝒄𝒂𝒍 by 𝒅𝒊𝒂𝒈(𝑷𝒉𝒉𝟏𝟑𝟑 )𝒄𝒐𝒎+𝒂𝒗𝒂 . (𝑾𝒕𝒐𝒘𝒏)𝒉𝒉+𝒄𝒂𝒍 Scalar value representing the total MSW generation = per town, calculated from the trace of 𝑻𝒓(𝒅𝒊𝒂𝒈(𝑾𝒄𝒐𝒎𝟏𝟑𝟑 )𝒉𝒉+𝒄𝒂𝒍 ) 𝒅𝒊𝒂𝒈(𝑾𝒄𝒐𝒎𝟏𝟑𝟑 )𝒉𝒉+𝒄𝒂𝒍 which is the aggregation of the MSW generation values per community and day for the 33 communities that make up the town of Betania. Table A.3. Daily median MSW generation calculated for the individuals´ and households´ LOO from the correlations obtained and for the communities´ LOO obtained from the aggregation of household MSW generation by the total households located in each of the 33 communities of the town of Betania. Community 𝒅𝒊𝒂𝒈(𝑾𝒊𝒏𝒅𝟏𝟑𝟑 )𝒉𝒉+𝒄𝒂𝒍 𝒅𝒊𝒂𝒈(𝑾𝒉𝒉𝟏𝟑𝟑 )𝒄𝒐𝒎+𝒄𝒂𝒍 𝒅𝒊𝒂𝒈(𝑾𝒄𝒐𝒎𝟏𝟑𝟑 )𝒉𝒉+𝒄𝒂𝒍 1 ID index 1 0.42 0.92 1625 2 0.36 1.20 1192 3 0.59 2.02 2454 4 0.45 1.43 1956 5 0.32 0.60 638 6 0.33 1.45 2232 7 0.39 0.71 1438 8 0.75 2.98 845 9 1.09 2.59 251 10 0.44 1.07 342 11 0.68 1.94 178 12 0.42 1.09 447 13 0.51 2.21 454 14 0.49 1.88 691 15 0.44 1.71 142 16 0.63 1.73 81 17 0.58 1.62 136 18 0.29 1.47 137 19 0.23 1.38 59 20 0.78 1.88 46 21 0.46 1.74 262 22 0.62 2.29 957 23 0.56 2.04 368 24 0.68 1.83 254 25 0.65 1.91 1518 26 0.66 2.19 864 27 0.73 2.40 1844 28 0.52 1.93 1661 29 0.75 2.23 119 30 0.72 2.32 1544 31 0.58 1.96 2563 32 0.64 1.94 2057 33 0.69 2.06 981 Town of Betania = (𝑾𝒕𝒐𝒘𝒏)𝒉𝒉+𝒄𝒂𝒍 = 𝑻𝒓(𝒅𝒊𝒂𝒈(𝑾𝒄𝒐𝒎𝟏𝟑𝟑 )𝒉𝒉+𝒄𝒂𝒍 ) = 30338 (Kg/town*day) 1 Community ID index referring to Table A.1. Table A.4. HAC membership of communities per interval of MSW generation at the individuals´ and households´ LOO Cluster membership 1 2 3 4 5 Individual level (kg/individual*day) (0.22, 0.36) (0.39, 0.46) (0.49, 0.59) (0.62, 0.78) 1.09 (2) (1) (3) (8) (9) (5) (4) (13) (11) (6) (7) (14) (16) (18) (10) (17) (20) (19) (12) (23) (22) (15) (28) (24) (21) (31) (25) (26) (27) (29) (30) (32) (33) Household Level (kg/household*day) (0.65, 0.75) (1.00, 1.62) (1.78, 2.27) (2.39, 2.85) 3.28 (5) (1) (3) (9) (8) (7) (2) (11) (13) (4) (14) (22) (6) (15) (26) (10) (16) (27) (12) (17) (29) (18) (20) (30) (19) (21) (23) (24) (25) (28) (31) (32) (33)