Download The Coupling Relationship Between Environmental System and Regional Economic Growth

The Coupling Relationship Between Environmental System and
Regional Economic Growth
ZOU Zuxu1, 2, DENG Yanbing3, XU Jun1
1. Department of Civil Engineering, Wuhan Polytechnic University, Wuhan, China, 430023
2. College of Economics and Management, Wuhan University, Wuhan, China, 430072
3. Wuhan Construction Engineering Co., Ltd
Abstract: The relation between environmental protection and regional economic is very complicated.
Regional economic growth has a nonlinear effect on the local environment, on the other hand, the
deterioration of the environment will restrict the development of regional economy. Through the
analysis of the regional economy and environment system based on the coupling interaction, we will
build the dynamic coupling model of the regional economy and environment protection coordination
development, which established strong theoretical basis for the economic development and
environmental protection of advanced coordinated development All those can help the government and
related departments in equilibrium relationship through giving the theoretical guidance.
Keywords: Coupling relationship, Environmental system, Regional economic growth, coupling model
1 Introduction
Environmental protection and social economic growth is coordinated development or not and how to
make the coordinated development is related to the sustainable development of regional realization of
major issues,which have important practical significance. Regional economic and environmental
protection have presented a nonlinear and discrete relationship.The nonlinear and discontinuous
relationship form the ecology economical system non-equilibrium state, which become the focus of
economics research and environmental protection. Domestic and overseas scholars mainly studied the
two conditions from the coordinated development about the economic and ecological system.
In recent years, many scholars appliced the coupling theory to research the harmonious development of
economy and environment, Most of their study are static coupling problemas,but little study of dynamic
coupling. Based on the analysis of regional economic and ecological environment system of coupling
interaction, this article uses system science theory to build dynamic coupling model of regional
economic and ecological environment coordinated development. So that to protect the environment and
economy coordinated development
2 The Coupling Relationship Between the Economic and Environmental System
As the physics concept, coupling refers to the phenomenon which two or more systems or movement
through various forms of interaction influence. According to the theory of coupling, regional economic
and ecological environment system is the coupling relationship between economic system and the
ecological environment system, each element in the system has interactive dependent objective
characterization, It depicts the evolution of sometime factor state or regional economic trends. Under
certain conditions, ecological environment system for content capabilities, the ability to resist external
interference is limited. This determines the rapid pace of economic development will damage the
ecosystem supporting the normal function,and ecosystem through the natural disasters, environmental
pollution, resource shortages and government intervention and a series of feedback forms restricts
economic development and slowers its growth rate.
Between economic and environmental systems there is a close relationship, both systems keep
exchanging in matter and energy, that the environment system as a raw material and energy inputs to the
economic system into a variety of products with value as well as wastewater , after the waste and the
735
"waste" material will eventually flow back into the natural environment, in the natural environment for
another transformation.So part of them is recycled, as natural resources, the other part of them as the
natural environment pollution.In the process,economic systems and environmental systems interacts
with stress to each other.
Economic and environmental systems are two of the unity of opposites paradox: there is the positive and
negative aspects between the two coupling. On the positive side, economic development should be
supported by ecological environment, while protecting the ecological environment requires good
financial and technical support; On the negative side, economic development should consume resources
and may damage the ecological balance while eco- imbalance in the environment will hinder the
economic development. Economic and ecological environment coupling demands coordinated relation
between the ecological environment and economic development, Only the two promotes each other to
produce coordinated effects can be achieved the conscience of the circulation, sustained and healthy
economic development, and ultimately to promote coordination of the whole system of orderly
development.
3 The Dynamic Coupling Model of Coordinated Development of Economy and
Environment System
Based on clear relationship between economic and environmental system, borrowing in the evolution of
general systems thinking to establish the dynamic balance between the two models, Analysis the system
state of the two components.
dx(t ) / dt = f ( x1 , x 2 , K , x n ), n = 1, 2, K , n (1)
f(x1,x2,…,xn)is a nonlinear functionm. To make f(x1,x2,…,xn) expansion according to the Taylor series
when x = 0 .
f ( x1 , x 2 , K, x n ) = f (0) + a1 x1 + a 2 x 2 + K + a n x n + r ( x1 , x 2 , K , x n )
2
（）
，
Among those, f(0)=0 ai as f(x1,x2,…,xn)the partial derivative value about the function xi when x = 0,
r(x1,x2,…,xn) for the xi of not less than quadratic analytic functions.
， ，
n
dx(t ) / dt = ∑ a i xi
i=1,2 … n
i =1
(3)
According to those methods,we can establish generally function of economic and environmental
systems:
n
f ( E ) = ∑ ai xi , i = 1,2,K , n
(4)
i =1
n
f (C ) = ∑ bi y j , j = 1,2,K , n
i =1
（5）
Where, xi, yi is the economic and environmental system element, ai, bi is the weight of each element.
Respectively. If considering two relation as a system, and assuming the system has only f (E) and f (C)
two elements the form of the evolution equation is:
 A = df ( E ) / dt = α 1 f ( E ) + α 2 f (C )


B = df (C ) / dt = β 1 f ( E ) + β 2 f (C ) 
(6)
In the system (6), A and B has a influence each other, any change in a subsystem will cause the entire
system. Changed in the outside world by itself and under the influence of the evolution rate of two
subsystems is:
V A = dA / dt
7
（）
736
（）
VB = dB / dt
8
building a coordinates with VA and VB as the variable, then the trajectory of V will become the
coordinates of an ellipse, so,
tga = V A / V B
(9)
：
(10)
and α = arcanV A / V B
The element α is referred to coupling, according to the values of α, we can determine the evolution of
the system state and the economic development and ecological and environmental development of the
coupling.
4 The Coupling State of Economic Development and Industrial Pollution Intensity
From the idea of the pollution intensity to study per capita GDP of urban and industrial pollution
intensity of the coupling, and through the power function fitting the model analysis, to measure urban
economy - the level of environmental coupling strengths and weaknesses with the efficiency coefficient
of elasticity, which can be lookde as foundatiom for City's future economic development and pollution
emission trends in decision-making.
PI it = a × GDP b it
(11)
Which, PIit expressed the industrial pollution emission level that i-citie in i period of time, a is a rate
from the degree of pollution to the rate of change of per capita GDP,representing the i cities in period t
time, per capita GDP series, b is the curve from fitting calculated constants.
Through the derivation of power function curve fitting, we can get the efficiency of the parameters to
measue cities in economic development and environmental governance, and named as the efficiency
elasticity coefficient:
（12）
InPI it = Ina + bInGDP b it
d GDPit
dPI it
=b
GDPit
PI it
∆PI it / PI it
b=
∆GDPit / GDPit
（13）
（14）
By the formula (14) we can know that, b is the rate of change of pollution intensity and the ratio of per
capita GDP rate of change, which is a measure of the degree of response that the pollution intensity on
changes to per capita GDP, characterized the rate of increase per capita GDP can lead to reduction in
pollution intensity rate.
(1) When b> 1
Show that the rate of change of pollution intensity is greater than the rate of change per capita GDP, per
capita GDP, smaller increase in strength can lead to greater pollution reduction.
(2) When b = 1
Show that changes in pollution intensity is same as per capita GDP rate, both with the rate of change on
the opposite direction, is the state of two coupled boundary value.
(3)When b <1
Show that the rate of change of pollution intensity is less than the rate of change per capita GDP, per
capita GDP, a larger increase in intensity can cause a small amount of pollution reduction.
Through the above analysis shows that, the numerical value of b can reflect a city of economic and
industrial pollution emissions coupled state, and can be used to measure urban pollution emission
reduction and economic development's efficiency, so we will call it: the efficiency coefficient of
737
elasticity.
For the efficiency coefficient of elasticity is the result of time series data fitting, therefore is dynamic,
any economic or environment-related measures will affect the size of the efficiency coefficient of
elasticity. If a city's per capita GDP is at a low level, it can make an higher effective elastic modulus and
per capital GDP than their cities as their benchmark, learn from a city which address environment and
economic issues related moves, gives sustainable urban environment level of development and
efficiency.
5 Conclusion
Regional economic and environmental system have an interaction, mutual restraint, mutual promotion
and constitute a complex system. With systems theory to set up the coupling model of regional
economic and ecological environment system of coordination, the coupling can be expressed by the
ratio of regional economic and environmental system evolution speed. At present, despite we have
achieved results in regional economic governance of the environmental, the economic and ecological
environment conflicts with each other, the ecological environment still has much problem, government
is still very heavy on pollution. We must speed up economic construction, adhere to put environmental
protection in an important position. By accelerating structural adjustment, optimizing the industrial
structure, transforming the economic growth, strengthening technological innovation, increasing
investment, and actively carrying out comprehensive improvement of urban and rural environment, that
can improve the quality of the environment comprehensively.
References
[1]. Andreoni, J,Levinsion, A. The Simple Analytics of the Environmental Kuznets Curve [J].Journal of
Public Economics, 2001, 82:237-245.
[2]. Hemamala, H,Mani,M, Wheeler,D. Industrial Pollution in Economic Development: the
Environmental
Kuznets
Curve
Revisited[J].Journal
of
Development
Economica,2003(53):346-389.
[3]. Stokey. Are There Limits to Growth? [J].International Economic Review, 2001(32):32-40.
[4]. Wu Yuming The research on coupling about economic growth and environment protection[J].
Resources Science,2008,30(2):22-28.(in Chinese)
[5]. SONG Xuefeng. The Coupled Model of Urbanization and Ecological Environment[J].
Ecology,2005,25(11):230-249(in Chinese)
738