THE RELATIONSHIP BETWEEN CULTIVATED LAND CHANGE AND ECONOMIC DEVELOPMENT BASED ON GIS IN HENAN PROVINCE: AN EMPIRICAL STUDY

Cultivated land resources are the basic production factors that carry human survival and economic development. Exploring the relationship between cultivated land change and economic development has become a hot issue for scholars.in this paper,The methods of regression analysis, land use elastic coefficient method, location entropy are used to empirically describe the relationship between cultivated land change and economic development.The results show: Since the 20th century, the change of cultivated land area has experienced three distinct stages of change, showing a process of recovery, decline, and steady evolution in Henan Province. The per capita cultivated land area is characterized by an upward trend, and the per capita cultivated land area is increasing year by year. In general, the intensive use of cultivated land in Henan Province is still not high, but the momentum of a sharp decline in cultivated land is basically controlled. The change of cultivated land area and economic development showed a four-time curve fitting relationship, which indicates that the path dependence of economic development on cultivated land occupation still exists, and cultivated land supports the rapid development of economy.The research results of the relationship between cultivated land change and economic development by using location entropy show that the spatial layout of the urban area is less than 0, and the regularity is not strong.The location where the location entropy is between 0-1 is mainly located in the central part of Henan Province;The cities with location entropy greater than 1 are mainly located in the eastern part of Henan. 1 The introduction Cultivated land resource is human survival and economic development of the basic factors of production.But with the rapid development of urbanization and industrialization, the problem of cultivated land loss caused extensive concern of the government and academic circle .Foreign scholars of regional land use and interactive relationship of economic and social development have a profound understanding of, and cobb Douglas production function model is adopted at quantitatively analyzes the factors such as land, capital and labor contribution to economic growth.Chinese scholars on the relationship between the cultivated land change and economic development also made the positive exploration, and achieved some research results .At present, scholars generally agree that the cultivated land resources reducing is one of the major cause of economic development, showing the trend of arable land decrease with economic development.Some scholars think that the cultivated land change and the economic development of a linear negative correlation between , some scholars of parts, according to a study by a rapid decline in cultivated land with the increase of the per capita GDP, characterized by exponential decline trend .Also the scholar thinks, between cultivated land and economic development showed a similar to the environmental kuznets inverted "U" type curve characteristics, such as Mr Fukuda of tianjin, shandong [6], gui-shan Yang of the Yangtze river delta economic developed regions such as arable land loss and economic development relationship of quantitative analysis, verify the existence of similar kuznets curve .How to The International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences, Volume XLII-3/W10, 2020 International Conference on Geomatics in the Big Data Era (ICGBD), 15–17 November 2019, Guilin, Guangxi, China This contribution has been peer-reviewed. https://doi.org/10.5194/isprs-archives-XLII-3-W10-1013-2020 | © Authors 2020. CC BY 4.0 License. 1013 guarantee the rapid economic growth at the same time, the protection of cultivated land red line, ensure food security in China, is one of the goals of the national macroeconomic regulation and control, is also the focus of the scholars research the problem .From the perspective of the existing research results, the scholars focus on economically developed areas, there are also scholars of the west such as shaanxi [9-10] of chongqing, gansu [11] and other areas of the relationship between cultivated land change and economic development.But for food core areas of central China, there are few related research.Based on the national food is one of the core area of henan province as the empirical object, analyze the correlation between cultivated land change and economic development, not only to improve the correlation between cultivated land change and economic development to provide more material, at the same time mining area of cultivated land change the general characteristics of this kind, for the regional resources, economic and social sustainable development to provide the reference. 2.Materials and methods 2.1 data source Required in the study of social and economic data in 2001-2014 in henan province from henan statistical yearbook (2015) .Land data from the survey data of land use change of henan province and the 30 years of reform and opening-up, henan: 1978-2008 ". 2.2 research method (1) regression analysis Regression analysis method are used to indicate the relation between economic growth and farmland.Regression analysis is to explore the random variables Y and x (it may be a multi-dimensional vector), the relationship between the independent variable x was determined, the value of the dependent variable Y is not as sure, but according to certain statistical regularity (i.e., the distribution of the random variable Y) values, then we will be expressed as the relationship between them: Y=f(x)+ε (1) f(x) is a function of a firm, called the regression function, epsilon as random, and epsilon obey N (0, sigma 2).In this paper, the dependent variable variables for growth, with GDP (Y), said the argument for the cultivated land area is variable, with (x). (2)Land of elasticity By scholars such as wang in the land of the research on relationship between land supply and economic growth of shenzhen [14] elasticity coefficient, the elastic coefficient of land use in arable land loss and annual GDP growth rate, the ratio between the reflected the change of land use of intensive and sustainable situation.Land use calculation formula of the elastic coefficient of T as follows: T = decrement in X/Y in the annual growth rate (2) For the elastic coefficient of land use type, T, X years decrement for arable land loss, Y annual growth rate of GDP growth rate. (3)Location entropy Location entropy is put forward by ha gheit and is used to measure the spatial distribution of the elements in the area, reflect a certain degree of sector specialization, as well as an area in the region of the high level of the position and role.In this paper, application of location entropy to analysis of henan economic development around the city to the influence degree of the farmland change. (3) Formula: Pi for I city cultivated land reduction, Mi of the ith a city cultivated land area of the provincial total loss of arable land, reduce the proportion of total area;Gi for the I the city at the same time the increase in GDP, Ni for the ith a city GDP increase the province to increase the proportion of total GDP;Qi is I, is the location entropy value. 3.Regional research Henan Province is located in the middle and lower reaches of the Yellow River, with a total land area of 165,500 km. Henan Province has 18 cities and 108 counties (cities). In 2014, the total    n i Pi Pi Mi 1    n

general, the intensive use of cultivated land in Henan Province is still not high, but the momentum of a sharp decline in cultivated land is basically controlled. The change of cultivated land area and economic development showed a four-time curve fitting relationship, which indicates that the path dependence of economic development on cultivated land occupation still exists, and cultivated land supports the rapid development of economy.The research results of the relationship between cultivated land change and economic development by using location entropy show that the spatial layout of the urban area is less than 0, and the regularity is not strong.The location where the location entropy is between 0-1 is mainly located in the central part of Henan Province;The cities with location entropy greater than 1 are mainly located in the eastern part of Henan.

The introduction
Cultivated land resource is human survival and economic development of the basic factors of production.But with the rapid development of urbanization and industrialization, the problem of cultivated land loss caused extensive concern of the government and academic circle [1] .Foreign scholars of regional land use and interactive relationship of economic and social development have a profound understanding of, and cobb Douglas production function model is adopted at quantitatively analyzes the factors such as land, capital and labor contribution to economic growth.Chinese scholars on the relationship between the cultivated land change and economic development also made the positive exploration, and achieved some research results [2][3] .At present, scholars generally agree that the cultivated land resources reducing is one of the major cause of economic development, showing the trend of arable land decrease with economic development.Some scholars think that the cultivated land change and the economic development of a linear negative correlation between [4] , some scholars of parts, according to a study by a rapid decline in cultivated land with the increase of the per capita GDP, characterized by exponential decline trend [5] .Also the scholar thinks, between cultivated land and economic development showed a similar to the environmental kuznets inverted "U" type curve characteristics, such as Mr Fukuda of tianjin, shandong [6], gui-shan Yang of the Yangtze river delta economic developed regions such as arable land loss and economic development relationship of quantitative analysis, verify the existence of similar kuznets curve [7] .How to The International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences, Volume XLII-3/W10, 2020 International Conference on Geomatics in the Big Data Era (ICGBD), 15-17 November 2019, Guilin, Guangxi, China guarantee the rapid economic growth at the same time, the protection of cultivated land red line, ensure food security in China, is one of the goals of the national macroeconomic regulation and control, is also the focus of the scholars research the problem [8] .From the perspective of the existing research results, the scholars focus on economically developed areas, there are also scholars of the west such as shaanxi [9][10] of chongqing, gansu [11] and other areas of the  [12] .Land data from the survey data of land use change of henan province and the 30 years of reform and opening-up, henan: 1978-2008 " [13] .

research method
(1) regression analysis Regression analysis method are used to indicate the relation between economic growth and farmland.Regression analysis is to explore the random variables Y and x (it may be a multi-dimensional vector), the relationship between the independent variable x was determined, the value of the dependent variable Y is not as sure, but according to certain statistical regularity (i.e., the distribution of the random variable Y) values, then we will be expressed as the relationship between them: f(x) is a function of a firm, called the regression function, epsilon as random, and epsilon obey N (0, sigma 2).In this paper, the dependent variable variables for growth, with GDP (Y), said the argument for the cultivated land area is variable, with (x).
(2)Land of elasticity By scholars such as wang in the land of the research on relationship between land supply and economic growth of shenzhen [14] elasticity coefficient, the elastic coefficient of land use in arable land loss and annual GDP growth rate, the ratio between the reflected the change of land use of intensive and sustainable situation.Land use calculation formula of the elastic coefficient of T as follows: For the elastic coefficient of land use type, T, X years decrement for arable land loss, Y annual growth rate of GDP growth rate.

Henan economic development and cultivated land area changes of location entropy
The spatial and temporal characteristics of (1) Location Entropy < 1: There are 11 cities whose location Entropy is between 0 and 1.
According to the size of location Entropy, they are