Local Sustainability Model based on Sustainable Harmonic Movement Analysis

Table of contents

1. Introduction

n the vision of directing the development of man (UN, 1987) established the scope of Sustainable Development 1 Local Sustainable Development is based on the concept of endogenous local development that grants a predominant role to companies, organizations, local alternative to economic development, its foundation being the sustainability that has as a premise ¨satisfying the needs of the present without compromising the capacity of future generations¨, guaranteeing the balance between economic growth, the environment and social well-being. Likewise, the Sustainable Development Goals (UN, 2015) have been established, which prioritize and lead to the consideration of new actions to confront poverty, protect the planet and improve the lives and prospects of people in the world. Currently as an alternative to develop economic activities oriented to the SDGs. institutions and civil society itself, identifying the economic dimension that allows local entrepreneurs to improve competitiveness, the social dimension and the institutional dimension and the basic values of the development process. (Stöhr, 1985). The vision of local economic development in addition to economic development in general, are added the fields of analysis of natural capital, social capital, importance of institutional strengthening, promotion of the participation of local communities, human capital, by improving access to education, nutrition and health, the role of women, the innovation needs of each territorial productive system in context, competitiveness, economic globalization and the assessment of environmental sustainability (ECLAC, 2011).

2. II.

3. Sustainability Model

The Local Sustainability Model (LSM) is conceptualized within strategic planning (Ander, 1995) with the purpose of highlighting the importance of current policies and interaction of social actors. This is how the LSM is characterized by being dynamic, highlighting in the methodology the contribution of the opinion of experts, who have a scale of values of what is convenient and not convenient in the objective of finding Economic, Environmental, Social and Governance Sustainability 2 The conceptualization of the LSM is established through the relationship of variables between the definition of Local Sustainable Development (LSD) and necessary for develop the model. The beginning of the evaluation of the problem is established with the baseline which includes the regulations and specifies the normative planning. The Sustainability Model is articulated at the strategic level with what it can be and at the operational level with the desire to make a flexible scheme. Thus, in a first stage, the selection of indicators is determined from a cause/ effect model or an analytical approach (Glave et al., 1995) and then they are subjected to the logic in the construction of the model, evaluating the indicators. In a second stage, the indices for each proposed model are dimensioned and interact.

4. Sustainability Indicators

The Local Institutional Sustainability = S L I From the relationship established in (i) for Local Sustainability and the Sustainability of the proposed local activity, we have:

[S i L ] =µ [S ij AX ]. [S i L ] (i) [S i L ] =µ´ [I ij AX ]. [S i L ] [S i L ] =µ´´ [I ij AX ] / ?I ij ?. [S i L ]

Being: ?Iij? the largest scalar value for Iij, with i = j and The Normalized Sustainability Matrix is constructed from the division of the largest scalar value for ?Iij? where Iij, with i = j, thus characterizing that the trace will take the Optimal value of 4 which represents the ideal Indicator Sustainability for LSM.

IV.

5. Materials and Methods

The research was based on the praxis developed of the construction of an LSM for artisanal gold mining activities in southern Peru (Gonzales, 2019), and is based on the use of the Canvas and Dolphi Methods, for the determination of objectives and goals, expert opinion and Dynamic Programming techniques for logical sequence and statistical analysis withthe Friedman statistician with p value that allows to identify the sustainability indicators and indices and their dimension to the activity and availability of the resource to later build the Description Sheets of Sustainability Indicators associated with their dimensionality and then submit them to the analysis of the Sustainable Harmonic Movement (SHM) in order to evaluate the optimal MSL of Indicators.

6. Table Nº1: Models and Index

7. Analysis and Discussion of Results

Based on the results of the AGMA research supported by the operational dimensionality of the activity of 340 participants, the SHM analysis was carried out based on the AHM 3 Nº1 and Nº2.

Using the Adapted Holzer Method (AHM) 4 the natural frequencies of sustainability were determined under the condition initial unit S value, and iterated through the following relationship: From the graphs, the natural frequencies of sustainability are determined and are presented in Table Nº3. Likewise, the tabulation of Sustainability Frequencies complies with the Variation and Trend Tests of Natural Sustainability Frequencies. See Table Nº4 and Figure Nº5.

Figure 1.
Indicators of the Local Sustainability Model are represented in the Sustainability Matrix, which represents the relationships between the Economic, Social, Environmental and Institutional Sustainability indicators of the proposed activity X. These are: Economic Sustainability Activity X = S AX E ; Social Sustainability Activity X = S AX S Environmental Sustainability Activity X = S
Figure 2.
ij ?: Matriz de Sostenibilidad de Indicadores Normalizada
Figure 3.
iteration relationship, finding the following data shown in the Description Sheet of Sustainability Indicators. The established indices are: Economic Indicator I E MA , Social Indicator I S MA , Environmental Indicator I A MA associated with Training and the Indicator Institutional I I MA Institutional Indicator, associated with Business Risk. See Tables
Figure 4.
Frequency of Natural Sustainability (Wn) Sustainability Constant (K) y Sustainability Indicator (I) Iterating the AHM equation for each model built based on the dimensioned indices for 340 participants in the LSM we have the tabulation of w and the obtaining of w n for 04 dimensioned models. See Figures Nº1, Nº2, Nº3 and Nº4.
Figure 5. Figure N°1 :
N°1Figure N°1: Tabulation and Graph Model 1
Figure 6. Figure N°2 :
N°2Figure N°2: Tabulation and Graph Model 2
Figure 7. Figure N°3 :
N°3Figure N°3: Tabulation and Graph Model 3
Figure 8. Figure N°4 :
N°4Figure N°4: Tabulation and Graph Model 4
Figure 9. Figure N°5 :B
N°5Figure N°5: Sustainability Natural Frequencies TrendThe Sustainability Matrices H i and their normalization are as follows:
Figure 10.
LSD = SLD A1 + SLD A2 + SLD A3 + ??+SLD An
LSD ? SLD AX
SL= B(S AX )
Involving the advance of other economic
activities in the local geographical area, with which in
this context Local Sustainability is measured in function
to Activity Sustainnability by the following recursive
equation:
Where:
B: Between 0 and 1
B = 1 greater predominance of activity X
Having,
S L = f (S L E , S L S , S L A, S L I )
S AX = f (S AX E , S AX S , S AX A, S AX I )
In unambiguous correspondence there is:
S AX = f (S AX E , S AX S , S AX A , S AX I )
The following relationship is established in a matrix:
[S i L ] =µ [S ij AX ]. [S i L ] (i)
For i=j i=1,2,3,4
Where:
[S ij AX ]: Sustainability Matrix
III.
Figure 11. Table Nº 2
Nº
V.
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Volume XXI Issue IV Version I
)
(
Figure 12. Table Nº3 :
Nº3
Figure 13. Table Nº4 :
Nº4
1
2
3
3
5

Appendix A

  1. Economy and Law Magazine, Cesar ; Alvarez , Heisley , Mori . 2010. 7. Lima. Universidad Peruana de ciencias
  2. Economic Commission for Latin America and the Caribbean, 2011. (Social Innovation and local development)
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  4. Introducción a la Investigación de operaciones, Frederick ; Hiller , Gerald Lieberman . 1997. México: Mc Graw Hill.
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  6. Sustainability and sustainable development; a systemic approach. Series 64. Environment and Development, Gilberto Gallopin . 2003. New York. UN.
  7. Harold ; Linstone , Murray Turoff . The techniques and Applications. Nueva Jersey. Institute of technology, 1975.
  8. Sustainability indicators for Andean agriculture. Agrarian Debate 23, Manuel ; Glave , Javier Escobal . 1995. Madrid. Universidad Complutense de Madrid
  9. Sustainability Model of Artisanal Gold Mining for Local Development in the district of Chala, Mario Gonzales . 2019. Arequipa. Lima.
  10. Environmental Sustainability Analysis based on a Physical Model. Mario Gonzales . Rev. Research Institute FIGMMG-UNMSM 2019. 2019. 22 p. .
  11. Introduction to operations research, Maurice Sasieni . 1994. Mexico. Limusa.
  12. Sustainability and Economic Development, Rafael Borrayo . 2001. México. Mc Graw-Hill.
  13. Indicators of Sustainable Development: Guidelines and Methodologies, UN . 2007. New York. (United Nations publications)
  14. Theory and problems of Mechanical Vibrations, William Seto . 1964. New York. (Schaum publishing co)
  15. Selective selfreliance and endogenous regional development, Ungleiche Entwicklung und Regionalpolitik in Südeuropa. W Stöhr . Nohlen&Schultze, Studienverlag Dr. N. Brockmeyer. Bochum. 16. World Commission on Environment and Development 1985. 1987. (United Nations)
Notes
1.
The definition of Sustainable Development is established according to the Rio Declaration 1992.
2.
According to the Earth Summit, Johannesburg 2002 the 4th component of Sustainability was established as Governance. In this scope, its correspondence with Institutional Sustainability is considered.
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Year 2021 B © 2021 Global Journals Local Sustainability Model based on Sustainable Harmonic Movement Analysis
3.
The Sustainable Harmonic Movement (MAS) is defined in reference to a physical system of masses subjected to the Oscillatory Harmonic Movement for the sustainability components.4 The Adapted Holzer Method (MHA) is based on the adaptation of the solution of the mass motion equation by the Holzer Method submitting the 4 Sustainability components.
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Date: 2021-07-15