Submitted:
24 June 2023
Posted:
25 June 2023
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Abstract
Keywords:
1. Introduction-Research Question
2. Literature Review
3. The Econometric Model for the Estimation of the Value of Internet Using Individuals
- ME: Methane emissions are those stemming from human activities such as agriculture and from industrial methane production. There is a positive relationship between the ME value and the IUI value. That is, the countries that have a higher level of IUI also have a higher level of ME. Specifically we can note that the countries that have high levels of IUI also have high levels of ME such as for example Granada with a level of UI equal to 77.76 and ME equal to 16.60, Bahrain with 100 and 11.65, Barbados with 85.82 and 8.39, Qatar with 100 and 7.64, New Zealand with 95.91 and 6.53, Uruguay with 90.07 and 6.05, Mongolia with 84.33 and 5.81, Kuwait with 99.7 and 5.56. This relationship shows that the level of ME and the level of IUI growth together.
- PUSS: The percentage of people using improved sanitation facilities that are not shared with other households and where excreta is safely disposed of on-site or transported and processed off-site. Improved sanitation includes flush/flush of piped sewer systems, septic tanks, or pit latrines: vented improved pit latrines, composite toilets, or slab pit latrines. There is a positive relationship between the PUSS value and the IUI value. Many of the countries that have high levels of IUI also have high levels of PUSS such as for example: Bahrain with a value of 100 IUI and 91.23 PUSS, Qatar with 100 and 97.2, Saudi Arabia with a value of 100 and 59.11, United Arab Emirates with 100 and 99.22, Kuwait with 99.7 and 100, Iceland with 99.68 and 83.68, Norway with 99 and 65.38, Denmark with 98.86 and 91, 88, Luxembourg with 98.66 and 96.78.
- AE: Access to electricity is the percentage of population with access to electricity. Electrification data are collected from industry, national surveys and international sources. There is a positive relationship between the AE value and the IUI value. Countries that have high levels of AE also typically have high levels of IUI. For example Bahrain has a value of 100 in terms of AE and 100 in terms of IUI, Qatar 100 and 100, Saudi Arabia 100 and 100, United Arad Emirates with 100 and 100, Kuwait with a value of 99.7 and 100, Iceland with 99.68 and 100, Norway with 99 and 100, Denmark with 98.86 and 100, Luxembourg with 98.66 and 100, Brunei Darussalam with 98.08 and 100.

- RFM: Labour force participation rate is the proportion of the population ages 15 and older that is economically active: all people who supply labour for the production of goods and services during a specified period. Ratio of female to male labour force participation rate is calculated by dividing female labour force participation rate by male labour force participation rate and multiplying by 100. There is a positive relationship between the RFTM value and the IUI value. Many countries that have a high level of IUI also have a high level of RFTM. For example, Bahrain has an IUI value of 100 and an RMTF value of 51.15, Mozambique has an IUI value of 17.37 and an RFTM value of 99.30, Papua New Guinea with a value of 32.05 and 97.33, Norway with 99 and 96.48, Solomon Iceland with an amount of 36.13 and 96.30.
- ACFT: Access to clean fuels and technologies for cooking is the proportion of total population primarily using clean cooking fuels and technologies for cooking. Under WHO guidelines, kerosene is excluded from clean cooking fuels. There is a positive relationship between the ACFT value and the IUI value. Countries that generally have a high ACFT value also have a high IUI value. For example Andorra with 100 and 93.89, followed by Antigua and Barbuda with 100 and 95.66, followed by Australia with 100 and 96.24, Austria with a value of 100 and 92.52, and the Bahamas with a value from 100 to 94.29.
- FPI: food production index covers food crops that are considered edible and that contain nutrients. Coffee and tea are excluded because, although edible, they have no nutritional value. There is a positive relationship between the FPI value and the IUI value. Specifically, the countries that have greater use of the internet also have a higher level of food production. Specifically we can note that in the case of Senegal the FPI value is 177.74 while the IUI value is equal to an amount of 58.05, in Qatar the corresponding values are 162.02 and 100.00, in Arabia Saudi Arabia 158.96 and 100 in Djibouti 144.13 and 68.86, Oman 143.95 and 96.38, Oman 143.95 and 96.38, Malawi 141.74 and 24.40, Mozambique 139.77 and 17, 37, Zimbabwe 132.04 and 34.81, Sri Lanka with 130.31 and 66.68.
- FFEC: Fossil fuels are non-renewable resources because they take millions of years to form and reserves are depleted much faster than new ones are created. In developing economies, growth in energy use is closely related to growth in modern sectors - industry, motorized transport and urban areas - but energy use also reflects climatic, geographical and economic factors (such as the relative price of energy). Energy use has grown rapidly in low- and middle-income economies, but high-income economies still use nearly five times as much energy on a per capita basis. Total energy consumption refers to the use of primary energy before processing it into other end-use fuels (such as electricity and refined petroleum products). Includes energy from renewable fuels and waste - solid biomass and animal products, biomass gases and liquids, and industrial and municipal waste. Biomass is any plant material used directly as fuel or converted into fuel, heat or electricity. There is a negative relationship between the FFEC value and the IUI value. Countries that have generally higher level of consumption in terms of FFEC also have lower levels of IUI.
- REC: is the share of renewable energy in total final energy consumption. There is a negative relationship between the REC value and the IUI value. In fact, countries that have high REC levels also have low IUI levels. For example Congo Dem. Rep. has a REC value equal to 96.24 and an IUI value equal to an amount of 22.90, Central African Republic has a value of 91.26 and 10.58, Uganda equal to an amount of 90.22 and 10.34, Gabon has a value of 89.88 and 71.74, Ethiopia with a value of 88.92 and 16.69, Liberia with 87.24 and 33.63, Guinea Bissau with 86 ,24 and 35.15, Tanzania with 85.22 and 31.63, Burundi with 84.77 and 5.80, Zambia 84.5 and 21.23, Madagascar with 82.77 and 19.73, Bhutan with 82, 27 and 85.63, Zimbabwe with 81.5 and 34.81.
| Synthesis of the main Econometric Results | |||||||||
| Random Effects | Fixed Effects | Pooled OLS | Average | ||||||
| A32 | Individuals using the Internet (% of population) | IUI | Coefficient | p-Value | Coefficient | p-Value | Coefficient | p-Value | |
| Const | 8,625750 | *** | 15,01890 | *** | 3,54718 | ** | 9,063943 | ||
| A1 | Access to clean fuels and technologies for cooking (% of population) | ACFT | 0,059552 | *** | 0,05106 | *** | 0,104497 | *** | 0,071703 |
| A2 | Access to electricity (% of population) | AE | 0,127424 | *** | 0,11932 | *** | 0,134299 | *** | 0,127014 |
| A21 | Food production index (2014-2016 = 100) | FPI | 0,053283 | *** | 0,03373 | * | 0,0891069 | *** | 0,058708 |
| A23 | Fossil fuel energy consumption (% of total) | FFEC | -0,148870 | *** | -0,15518 | *** | -0,133426 | *** | -0,145826 |
| A39 | Methane emissions (metric tons of CO2 equivalent per capita) | ME | 1,147750 | *** | 1,18922 | *** | 1,09063 | *** | 1,142533 |
| A45 | People using safely managed sanitation services (% of population) | PUSS | 0,455231 | *** | 0,31377 | *** | 0,420027 | *** | 0,396342 |
| A54 | Ratio of female to male labor force participation rate (%) (modeled ILO estimate) | RFM | 0,083456 | *** | 0,06875 | ** | 0,169803 | *** | 0,107337 |
| A57 | Renewable energy consumption (% of total final energy consumption) | REC | −0,174714 | *** | -0,09612 | *** | -0,32874 | *** | -0,212429 |
4. Clusterization with k-Means Algorithm Optimized with the Elbow Method

- Cluster 1: New Zealand, Belgium, Estonia, Australia, Austria, Germany, Ireland, Switzerland, Canada, Japan, Singapore, Korea, United Kingdom, United Arab Emirates, Finland, France, Slovak Republic, Bahrain, Netherlands, Latvia, Sweden, Spain, United States, Luxembourg, Denmark, The Bahamas, Israel, Qatar, Norway, Kuwait, Barbados, Iceland, Czech Republic, Malta, Hungary, Slovenia, Lithuania, Brunei Darussalam, Cyprus, Russian Federation, Lebanon, Azerbaijan, Oman, Malaysia, Poland, Liechtenstein, North Macedonia, Chile, Monaco, Saudi Arabia, Kazakhstan, Croatia, Andorra, Portugal, Argentina, St. Kittis and Nevis. Cluster 1 is the first cluster for median IUI value with a value of 90.71. From a strictly geographical point of view, the leading countries within the cluster are Saudi Arabia, Australia, the Scandinavian countries, Iceland, Canada, the USA, and Spain. In the same cluster there are also countries that have low levels of IUI or Russia, Portugal, France, Romania, Argentina, Chile. It should be considered that generally the growth in the value of IUI tends to be associated with the growth in per capita income. In fact, countries that have a low per capita income such as Russia, Argentina, and Eastern European countries, despite being part of Cluster 1, still have a low IUI value.

- Cluster 2: Tanzania, Afghanistan, Zambia, Togo, Benin, Sierra Leone, Liberia, Guinea-Bissau, Mali, Ethiopia, Guinea, Pakistan, Rwanda, Mozambique, Malawi, Congo Dem. Rep., Burkina Faso, Bangladesh, Madagascar, Papua New Guinea, Chad, Comoros, Uganda, Kenya, Niger, India, Central African Republic, Solomon Islands, Sudan, South Sudan, Congo Rep., Burundi, Eritrea, Timor Leste, The Gambia, Somalia, Turkmenistan, North Korea, Palau, Cameroon, Nepal , Haiti, Zimbabwe, Angola, Libya, Tajikistan, Kiribati, Iraq, Mauritania, Senegal, Lao DPR, Marshall Islands, Yemen Rep., Equatorial Guinea, Cambodia, Nicaragua, Sri Lanka, Tuvalu, Vanuatu, Cote d'Ivoire, Indonesia, Sao Tome and Principe, Namibia, Ghana, Honduras, Nigeria, Mongolia, San Marino, Micronesia Fed. Sts., Guatemala, Nauru, Syrian Arab Republic, El Salvador, Samoa, Eswatini, Djibouti. The value of the median of Cluster 2 is equal to 29.18. Cluster 2 is the last cluster by IUI value. It is a cluster made up of almost all of Africa, South Asia and the countries of Southeast Asia. In this case, the positive relationship existing between the value of per capita income and the value of IUI is evident. In fact, the countries that have the lowest value in terms of IUI are the countries of Central Africa that also have a low per capita income. It should be considered that the low IUI value is also an indicator of a difficulty in accessing the digital economy. In fact, to increase the development of the digital economy in African and South Asian countries it is necessary to increase the distribution among the population.

- Cluster 3: Mauritius, Ukraine, Ecuador, Georgia, Paraguay, Grenada, Vietnam, Tunisia, St. Saint Vincent and the Grenadines, South Africa, China, Cabo Verde, Jamaica, Jordan, Panama, Mexico, Fiji, Peru, Maldives, Iran Islamic Rep. , Moldova, Suriname, Armenia, Turkey, Bosnia and Herzegovina, Colombia, Seychelles, Gabon, Thailand, Romania, Belize, St. Lucia, Dominican Republic, Albania, Uzbekistan, Tonga, Bulgaria, Brazil, Cuba, Bhutan, Costa Rica, Egypt Arab Rep., Bolivia, Morocco, Botswana, Kyrgyz Republic, Italy, Dominica, Serbia, Philippines, Algeria, Belarus, Antigua and Barbuda, Montenegro, Venezuela, Trinidad and Tobago, Guyana, Greece, Uruguay. The value of the median of Cluster 3 is equal to 73.21. It should be considered that Cluster 3 is the second cluster by median value placed between Cluster 1, which is the first Cluster, and the Cluster which is the last cluster by median value. From a geographical point of view, cluster 3 is made up of the countries of Central and South America, some African countries, Italy and Eastern Europe, and China and some countries of the Middle East and South Asia. It should be noted that Cluster 3 is made up of both low per capita income countries and high per capita income countries. The distribution of the internet has an impact on the ability to access the digital economy. It is significant to note that despite the technological investment in China, the value of IUI in China has not yet reached the same level as Cluster 1 countries. Furthermore, together with China, in Cluster 3, there are also two other BRICS countries namely Brazil and South Africa.

5. Machine Learning Algorithms for the Prediction of the Future Level of Individuals Using Internet
- Linear Regression with a payoff value of 9;
- Gradient Boosted Trees and Polynomial Regression with a payoff value of 11;
- Simple Regression Tree with a payoff value of 13;
- ANN-Artificial Neural Network with a payoff value of 19;
- Random Forest Learner with a payoff value of 23;
- Tree Ensemble Regression with a payoff value of 27;
- PNN-Probabilistic Neural Network with a payoff value of 31.



6. Conclusions
Funding
Data Availability Statement
Declaration of Competing Interest
Acknowledgements
Software
Appendix
| Lists of Variables of the Econometric Model | |||
| Acronym | Variable | Definition | |
| IUI | Individuals using the Internet (% of population) | Internet users are individuals who have used the Internet (from any location) in the last 3 months. The Internet can be used via a computer, mobile phone, personal digital assistant, games machine, digital TV etc. | |
| ACFT | Access to clean fuels and technologies for cooking (% of population) | Access to clean fuels and technologies for cooking is the proportion of total population primarily using clean cooking fuels and technologies for cooking. Under WHO guidelines, kerosene is excluded from clean cooking fuels. | |
| AE | Access to electricity (% of population) | Access to electricity is the percentage of population with access to electricity. Electrification data are collected from industry, national surveys and international sources. | |
| FPI | Food production index (2014-2016 = 100) | Food production index covers food crops that are considered edible and that contain nutrients. Coffee and tea are excluded because, although edible, they have no nutritive value. | |
| FFEC | Fossil fuel energy consumption (% of total) | Fossil fuels are non-renewable resources because they take millions of years to form, and reserves are being depleted much faster than new ones are being made. In developing economies growth in energy use is closely related to growth in the modern sectors - industry, motorized transport, and urban areas - but energy use also reflects climatic, geographic, and economic factors (such as the relative price of energy). Energy use has been growing rapidly in low- and middle-income economies, but high-income economies still use almost five times as much energy on a per capita basis. Total energy use refers to the use of primary energy before transformation to other end-use fuels (such as electricity and refined petroleum products). It includes energy from combustible renewables and waste - solid biomass and animal products, gas and liquid from biomass, and industrial and municipal waste. Biomass is any plant matter used directly as fuel or converted into fuel, heat, or electricity. | |
| ME | Methane emissions (metric tons of CO2 equivalent per capita) | Methane emissions are those stemming from human activities such as agriculture and from industrial methane production. | |
| PUSS | People using safely managed sanitation services (% of population) | The percentage of people using improved sanitation facilities that are not shared with other households and where excreta are safely disposed of in situ or transported and treated offsite. Improved sanitation facilities include flush/pour flush to piped sewer systems, septic tanks or pit latrines: ventilated improved pit latrines, compositing toilets or pit latrines with slabs. | |
| RFM | Ratio of female to male labor force participation rate (%) (modeled ILO estimate) | Labor force participation rate is the proportion of the population ages 15 and older that is economically active: all people who supply labor for the production of goods and services during a specified period. Ratio of female to male labor force participation rate is calculated by dividing female labor force participation rate by male labor force participation rate and multiplying by 100. | |
| REC | Renewable energy consumption (% of total final energy consumption) | Renewable energy consumption is the share of renewable energy in total final energy consumption. | |
| Random-effects (GLS), using 1930 observations | |||
| Included 193 cross-sectional units | |||
| Time-series length = 10 | |||
| Dependent variable: A32 | |||
| Coefficient | Std. Error | z | p-value | ||
| const | 8.62575 | 1.83895 | 4.691 | <0.0001 | *** |
| A1 | 0.0595520 | 0.0139070 | 4.282 | <0.0001 | *** |
| A2 | 0.127424 | 0.0218061 | 5.844 | <0.0001 | *** |
| A21 | 0.0532831 | 0.0169305 | 3.147 | 0.0016 | *** |
| A23 | −0.148870 | 0.0149846 | −9.935 | <0.0001 | *** |
| A39 | 1.14775 | 0.257813 | 4.452 | <0.0001 | *** |
| A45 | 0.455231 | 0.0298238 | 15.26 | <0.0001 | *** |
| A54 | 0.0834555 | 0.0266459 | 3.132 | 0.0017 | *** |
| A57 | −0.174714 | 0.0310490 | −5.627 | <0.0001 | *** |
| Mean dependent var | 39.65713 | S.D. dependent var | 32.69885 | |
| Sum squared resid | 1064517 | S.E. of regression | 23.53421 | |
| Log-likelihood | −8830.361 | Akaike criterion | 17678.72 | |
| Schwarz criterion | 17728.81 | Hannan-Quinn | 17697.15 | |
| rho | 0.486541 | Durbin-Watson | 0.959356 |
| 'Between' variance = 201.083 |
| 'Within' variance = 249.699 |
| theta used for quasi-demeaning = 0.667644 |
| Joint test on named regressors - |
| Asymptotic test statistic: Chi-square(8) = 689.44 |
| with p-value = 1.34302e-143 |
| Breusch-Pagan test - |
| Null hypothesis: Variance of the unit-specific error = 0 |
| Asymptotic test statistic: Chi-square(1) = 2028.74 |
| with p-value = 0 |
| Hausman test - |
| Null hypothesis: GLS estimates are consistent |
| Asymptotic test statistic: Chi-square(8) = 108.32 |
| with p-value = 8.4269e-20 |

| Fixed-effects, using 1930 observations |
| Included 193 cross-sectional units |
| Time-series length = 10 |
| Dependent variable: A32 |
| Coefficient | Std. Error | t-ratio | p-value | ||
| const | 15.0189 | 3.55394 | 4.226 | <0.0001 | *** |
| A1 | 0.0510607 | 0.0138921 | 3.676 | 0.0002 | *** |
| A2 | 0.119318 | 0.0259196 | 4.603 | <0.0001 | *** |
| A21 | 0.0337348 | 0.0175672 | 1.920 | 0.0550 | * |
| A23 | −0.155182 | 0.0150054 | −10.34 | <0.0001 | *** |
| A39 | 1.18922 | 0.305163 | 3.897 | 0.0001 | *** |
| A45 | 0.313768 | 0.0928271 | 3.380 | 0.0007 | *** |
| A54 | 0.0687515 | 0.0331285 | 2.075 | 0.0381 | ** |
| A57 | −0.0961181 | 0.0339625 | −2.830 | 0.0047 | *** |
| Mean dependent var | 39.65713 | S.D. dependent var | 32.69885 | |
| Sum squared resid | 431730.4 | S.E. of regression | 15.80188 | |
| LSDV R-squared | 0.790678 | Within R-squared | 0.160960 | |
| LSDV F(200, 1729) | 32.65495 | P-value(F) | 0.000000 | |
| Log-likelihood | −7959.473 | Akaike criterion | 16320.95 | |
| Schwarz criterion | 17439.57 | Hannan-Quinn | 16732.42 | |
| rho | 0.486541 | Durbin-Watson | 0.959356 |
| Joint test on named regressors - |
| Test statistic: F(8, 1729) = 41.4612 |
| with p-value = P(F(8, 1729) > 41.4612) = 5.93111e-61 |
| Test for differing group intercepts - |
| Null hypothesis: The groups have a common intercept |
| Test statistic: F(192, 1729) = 12.0954 |
| with p-value = P(F(192, 1729) > 12.0954) = 3.7502e-210 |

| Pooled OLS, using 1930 observations |
| Included 193 cross-sectional units |
| Time-series length = 10 |
| Dependent variable: A32 |
| Coefficient | Std. Error | t-ratio | p-value | ||
| const | 3.54718 | 1.50606 | 2.355 | 0.0186 | ** |
| A1 | 0.104497 | 0.0170954 | 6.113 | <0.0001 | *** |
| A2 | 0.134299 | 0.0203200 | 6.609 | <0.0001 | *** |
| A21 | 0.0891069 | 0.0189375 | 4.705 | <0.0001 | *** |
| A23 | −0.133426 | 0.0189349 | −7.047 | <0.0001 | *** |
| A39 | 1.09063 | 0.196854 | 5.540 | <0.0001 | *** |
| A45 | 0.420027 | 0.0158854 | 26.44 | <0.0001 | *** |
| A54 | 0.169803 | 0.0204120 | 8.319 | <0.0001 | *** |
| A57 | −0.328740 | 0.0277429 | −11.85 | <0.0001 | *** |
| Mean dependent var | 39.65713 | S.D. dependent var | 32.69885 | |
| Sum squared resid | 1011612 | S.E. of regression | 22.94792 | |
| R-squared | 0.509525 | Adjusted R-squared | 0.507483 | |
| F(8, 1921) | 249.4516 | P-value(F) | 1.4e-290 | |
| Log-likelihood | −8781.169 | Akaike criterion | 17580.34 | |
| Schwarz criterion | 17630.43 | Hannan-Quinn | 17598.76 | |
| rho | 0.830382 | Durbin-Watson | 0.440232 |








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