Factors Influencing Grain Production of Henan
Province Based on Gray Correlation
LI Qiu-fang1,KANG Guo-lei2,LI Xiao-fang3,LI Bing-jun1*
1. College of Information and Management Science,Henan Agricultural University,Zhengzhou,450002,China;2. Modern Education Technolo-
gy Center,Zhengzhou Institute of Light Industry,Zhengzhou 450002,China;3. Financial Division of Henan Agricultural University,Zhengzhou
450002,China
Abstract The authors analyze the existing problems and macroscopic factors influencing grain production of Henan Province,and then carry out
an empirical study on the correlation between grain production and eight influencing factors in Henan Province of China by using the gray correlation
analysis method. Finally,this paper puts forward related suggestions.
Key words Grain production;Input factor;Gray correlation analysis;China
Received:March 27,2009 Accepted:May 10,2009
* Corresponding author. E-mail:lilylee_0819@126. com
There is an ancient Chinese saying that " Food is What
Matters to the People" . Grain production has always been re-
lated to human survival,economic development and social sta-
bility,as well as the harmonious development of society,poli-
tics and economy of China. Henan Province is located in the
middle and lower reaches of the Yellow River of the mid-eastern
China. It is one of the oldest agricultural production areas in
China with relatively high degree of land development and utili-
zation. Therefore,the available reserved land resources are
scarce in Henan Province,especially the reserved arable land
resources. Besides,Henan is a province of large population.
But its arable land per capita is less than 1 /4 of the national av-
erage and shows a downward trend year by year. Henan Prov-
ince feeds nearly 8% of the population with only 17% of the na-
tional arable land. Thus,there is tremendous bearing pressure
on the arable land of Henan Province. With the continuous in-
crease of population and the rapid development of industrializa-
tion and urbanization,the safety of food production will be seri-
ously threatened. Therefore,it is particularly important to exca-
vate the potential of grain production,and to analyze the influ-
encing factors of grain production capacity and production pros-
pects in Henan Province.
1 Problems in grain production of Henan
Province
Henan Province was unable to get rid of the " strange circle
of fluctuation" since the year 1980,that is,grain production in
the next year would surely be reduced after more than 2 or 3
years' yield increase. This situation lasted to the year 2004. In
that year,the state promulgated a series of agricultural policies
favorable to peasants,which greatly enhanced the peasants'
enthusiasm for grain planting. Moreover,Henan Province in-
vested in agricultural infrastructure in order to improve this situ-
ation. After 2004,grain yield shows an increasing trend year by
year. Summer crop has broken 50 billion kg for consecutive 3
years in 2008,and has hit the historical record for 5 consecu-
tive years,which has made new contribution to the grain pro-
duction of China. But the prospect of grain production in Henan
Province is still very grim.
1. 1 Grim situation of the production of summer crops
1. 1. 1 Serious pests and diseases damage of wheat. Rela-
tively large groups of wheat are formed due to the warm winter
in recent years. Thus,the pests and diseases damage hap-
pens early in each year with the characteristics of rapid spread
and large area. According to statistics,wheat stripe rust even
occurs on November 7,2007,one month earlier than the nor-
mal years. Wheat diseases and pests in Henan Province have
damaged a total area of 746. 67 ×104 hm2 until the early April,
2008,increasing by 140. 00 ×104 hm2 compared with the nor-
mal years. Wheat disease like this is rare in history over the
same period.
1. 1. 2 Reduction of effective irrigation area. Soil moisture mo-
nitoring in late March,2008 shows that soil moisture in most
wheat fields is appropriate,except that the relative humidity at
the 0 -50 cm soil of Zhumadian,Luohe,Nanyang,Pingdings-
han and other areas is between 40% and 60%,which is mild to
moderate drought. Total drought area in Henan Province is
about 66. 67 × 104 hm2. And drought has been aggravated in
northern,central and southwestern Henan until the early April.
Wheat in April is generally at booting or heading stage,so more
water is needed and the water consumption is relatively rapid.
If drought can not be eased,the normal growth and output of
wheat will be affected.
1. 1. 3 Low efficiency of field management. Recently,the
number of migrant workers has increased year by year. Thus,
the young and middle-aged rural labor force is lacked,and food
production is under extensive management. Besides, labor
forces engaged in grain production have generally low level of
education and weak sense of market and information. They are
Asian Agricultural Research /亚洲农业研究 2009,1(5):23 -27 Responsible editor:Jinyan Responsible translator:Chengna
hard to accept new technology,and can not adapt to the devel-
opment of modern agricultural production.
1. 2 High costs for agricultural production during spring
cultivation,which influences the peasants' enthusiasm for
production inputs The overall supply in agricultural commod-
ities market is sufficient in Henan Province,but the price is rel-
atively high,which enhances the cost of cultivation. At present,
prices of fertilizer,seeds,pesticides and farm diesel in Henan
market have increased compared with those over the same pe-
riod last year. Among them,prices of fertilizer,agricultural
diesel,agricultural film,pesticides,and seed have raised by 5.
8%,13. 3%,7. 1%,and 2 . 0%,respectively. As a result,
price rise of agricultural material products has offset the agricul-
tural policy benefits for peasants to some extent,and has re-
duced peasants' enthusiasm for production inputs.
1. 3 The aged irrigation and water conservancy facilities;
the low ability to resist natural disasters In recent years,
with the implementation of a series of benefiting-farmers policy
by the central government,agricultural infrastructure in Henan
Province has been improved. But it is still relatively weak on
the whole;and the ability to resist natural disasters is poor. Be-
sides,there are many problems in agricultural irrigation and
water conservancy facilities,such as the poor maintenance,
functional degradation,and slow renovation. Until the end of
2006,Henan Province has a total of 390. 90 ×104 hm2 of fields
irrespective of drought or waterlogging,only occupying about
50% of the total arable land. This results in the relatively low
ability to resist natural disasters during agricultural production.
Since the year 2003,grain production reduces by about 800 ×
104 t due to drought or waterlogging disasters. Therefore,prob-
lem in irrigation and water conservancy facilities is still one of
the main factors restricting the sustainable and stable develop-
ment of grain production in Henan Province[1].
2 Macroscopic influencing factors of grain
production capacity in Henan Province
2. 1 The unstable grain price and uncertain income which in-
fluence peasants' enthusiasm for grain production Grain
prices in the first half years of 2003 and 2006 are high. Implementa-
tion of a series of polices to promote grain product conducted by
the state and Henan Province has stimulated the rapid develop-
ment of grain production[2]. Though the grain price rises,plant-
ing crops still obtains relatively low benefits compared with
planting economic crops and working in cities. Benefits of grain
planting have reduced significantly due to the decline in grain
price and the rise in agricultural commodity in the second half
year of 2005,which has very adverse impacts on food produc-
tion. According to the sampling survey on 4 060 peasants
households in 42 counties by the Survey Organization of Henan
Province,the National Bureau of Statistics in 2006,we can ob-
tain that the rapeseed sowing has decreased by 4. 67 ×104 hm2
due to the climate factor. Grain sowing area of the whole prov-
ince has only increased by 0. 8% while the planning area by
wheat is enlarged by 4. 67 ×104 hm2;and the increasing range
has declined by 1. 2% in 2006 compared with that in 2005.
Therefore,peasants usually choose planting economic crops or
working in cities rather than planting crops.
2. 2 The lack of flexibility in land contract;the implemen-
tation of extensive management Different regions have their
own policies for adjusting the contracted land of peasants be-
fore agricultural tax relief,so that land transfer can be reasona-
bly carried out. However,after the agricultural tax relief,rea-
sonable transfer of land is lacked with the uneven distribution of
land;and the scientific and modern farming is hard to be
achieved. Therefore,adjustment of land has not only become a
problem for the reform and development in rural areas,but also is
one of the prominent problems affecting current grain production.
2. 3 Influence of grain marketing policy National food poli-
cy is an important guarantee for the construction of food securi-
ty system in China. Corresponding food policy is constituted in
different historical periods,so as to guarantee the national food
supply and social stability,and to promote the coordinated de-
velopment of social economy. Government of Henan Province
has advanced the Announcement of the Overall Implementation
of the Reform of Grain Marketing System in 2004. Meanwhile,
a series of new policies for deepening the reform of grain circu-
lation system are issued. But the financial burden of Henan
Province is too heavy;and income of grain production is greatly
affected by the price of grain market. Besides,the long-term
mechanism to promote the stable production of grain and the
steady income growth of peasants has not yet been
established.
2. 4 Complicated impact of market on grain production Grain
market has remained relatively stable at present. However,with the
deepening of the reform of grain marketing system,both the market
subject for grain management and the quantity of grain circula-
tion have increased sharply. What's more,general layout in
food production and consumption has changed along with heav-
ier task of macroeconomic regulation and control of grain,
which has put forward new demands on the market system of
grain. Practice has proved that changes in the market will have
very complicated impact on grain production. At the same time,
domestic production has been affected by the international mar-
ket. The significant increase in the international market price of
grain at present has a limited direct impact on domestic market.
However,based on an overall consideration of various factors,
it is concluded that grain price in China will still maintain its as-
cending tendencies for a long time in future.
3 Comprehensive production capacity of
grain in Henan Province
3.1 Comprehensive production capacity and level of grain
in Henan Province Comprehensive production capacity of grain
is the sum of the actual grain yield and the reduced production
due to pest disasters. While comprehensive production level is
the comprehensive production capacity of grain per unit area.
Sowing area of grain crops in Henan Province has changed
greatly in recent years,due to the variation of agricultural policy
and the adjustment of grain structure. Sowing area of grain is in
the state of fluctuation from 1980 to 2000;and the planting area
42 Asian Agricultural Research 2009
of grain crops has steadily increased year by year from 2001 to
2005. Until the year 2005,total area of grain has reached
9 153.41 ×103 hm2,increasing by 330. 61 ×103 hm2(3. 0%).
However,the proportion of grain sowing area in total sowing ar-
ea of crops shows a downward trend. The actual grain produc-
tion is increasing year by year (except the yield reduction in
2003,due to the extraordinary serious natural disaster)with
the increasing extent of 11. 0%. Grain production capacity over
the same period has enhanced by 441. 06 × 104 t (only the
years 2004 and 2005 are compared,because the data of 2001
and 2002 are incomplete and the year 2003 is unusual). As a
result of the scientific and technological progress,comprehen-
sive production level of grain has improved by 39. 0% under the
condition of little enhancement in sowing area[3].
3. 2 Gray correlation analysis on factors influencing the
grain production capacity in Henan Province Gray correla-
tion mathematical analysis is an important aspect of Gray Sys-
tems Analysis. It is a method to quantitatively describe and
compare a certain system development status,the essence of
which is to compare the geometric relationship of the time se-
ries reflecting factor change. And the aim of gray correlation a-
nalysis is to find the main factors and the impact degree during
the process of system development. Gray correlation degree is
the correlation degree of two systems or two factors in a system
changing with time and speed(one is the main behavior factor,
the other is the related behavior factor)[3 -5]. During the
process of system development,we can use the sequencing of
correlation degree to analyze which factors affect the main be-
havior factors,and which factors have little impact. Factor hav-
ing big correlation degree means it has relatively greater impact
on the main behavior factor;and factor having small correlation
degree has no or few impact. Therefore,gray correlation anal-
ysis can distinguish between dominant factor and potential fac-
tor,and between strengths and weaknesses;it lays the foun-
dation for analysis and evaluation. In other words,gray correla-
tion analysis is a factor analysis of system;it is the quantitative
analysis of the development process of system. It can measure
the approaching degree of factors according to the development
status and (dis)similarity degree of factors[6 - 8]. Calculation
steps of correlation degree are as follows:
(1)Give out the original sequence. Reference sequence
is x0(k)={x0(1) ,x0(2) ,…,x0(n) }. And m comparative
sequences are:
x1(k)={x1(1) ,x1(2) ,…,x1(n) }
x2(k)={x2(1) ,x2(2) ,…,x2(n) }
xm(k)={xm(1) ,xm(2) ,…,xm(n
{
) }
(2)Carry out dimensionless form of variable sequence.
Dimensionless calculation of original data is carried out by the
Mean Method,Initial Value Method,Interval Method and so
on. We adopt the Initial Value Method to calculate the refer-
ence sequence y0(k) ,and comparative sequence yi(k) (i =
1,2 ,…,m;k =1,2,…,n).
(3)Obtain absolute difference sequence. Reference se-
quence y0(k) ,comparative sequence yi(k) (i =1,2 ,…,m;
k = 1,2,…,n). The absolute value of differences at corre-
sponding point k (k =1 ,2 ,…,n;observation time or the num-
ber of observed objects)has constituted an absolute difference
sequence △0i(k) :
△01(k)= |y0(k)- y1(k)| ={△1(1) ,△1(2) ,…,△1(n) }
△02(k)= |y0(k)- y2(k)| ={△2(1) ,△2(2) ,…,△2(n) }
△0m(k)= |y0(k)- ym(k)| ={△m(1) ,△m(2) ,…,△m(n) }
{
.
(4)Find out the maximum absolute difference(△max)and
the minimum absolute difference (△min)in the absolute differ-
ence sequence.
(5)Calculate the gray correlation coefficient.
ζ i(k)=
min
i
min
k
|y0(k)-yi(k)| +ρ maxi maxk |y0(k)-yi(k)|
|y0(k)-yi(k)| +ρ maxi maxk |y0(k)-yi(k)|
,
where ζ(k)is the correlation coefficient between comparative
sequence and reference sequence at the kth time period,ρ is
the resolution coefficient with its value between 0 and 1 (0.5 in
this paper) ,min min |y0(k) - yi(k)| is the secondary mini-
mum difference,max max |y0(k) - yi(k)| is the secondary
maximum difference,i is the line number of data,and k is the
row number of data.
(6)Work out the gray correlation degree. There are many
correlation coefficients with dispersed information,which is not
suitable to compare. Therefore,it is necessary to convergent
the correlation coefficients at different time periods into one val-
ue. And calculating the mean value is a way to solve this prob-
lem. General expression of correlation degree is γ a =
1
n ∑
n
k =1
ε a
(k)= 1n {ε a(1)+ε a(2)+… +ε a(n) },whereγ is the correla-
tion degree of between comparative sequence and reference
sequence. It is generally believed that if γa is bigger,the factor
has greater impact on reference factor[9].
After carrying out the qualitative judgments on the factors
influencing grain production,we use the grain production of
Henan Province X0(t) (t =1990,1991,…,2007)as the main
behavior factor,and select eight related behavior factors affect-
ing the total grain output,which are the index of sowing area of
grain crops (X1) ,index of labor force (X2) ,index of rural
electricity consumption(X3) ,fertilizer index (X4) ,index of ag-
ricultural plastics (X5) ,index of pesticides application (X6) ,
index of total agricultural machinery power (X7) ,and index of
effective irrigation area (X8)
[10](Table 1).
3. 3 Analysis of results Table 2 reports that the importance
degree of the main behavior factors affecting the grain produc-
tion of Henan Province is effective irrigation area > labor force
> sowing area of grain crops > application of fertilizer > total
agricultural machinery power > rural electricity consumption >
application of pesticides > agricultural plastics. ① Effective irri-
gation area has the greatest impact on grain production. In oth-
er words,effective irrigation area has played a crucial role in
the improvement of grain production. Henan Province has in-
tensified the efforts on the construction of agricultural infrastruc-
ture in recent years;and notable progress has been made in
52LI Qiu-fang et al. Factors Influencing Grain Production of Henan Province Based on Gray Correlation
supplement auxiliary project and water saving rebuilding in large
irrigation areas. At the year 2007,the effective irrigation area in
Henan Province has reached 491. 49 ×104 hm2,accounting for
about 70% of the total arable land. Thus,effective irrigation ar-
ea has become an important factor affecting grain production
due to the implementation of a number of major agricultural in-
frastructure projects in Henan Province. ② Correlation degree
between grain production and labor force ranks the second,in-
dicating that agricultural production is still extensive in Henan
Province to a certain degree,and more time and labor forces
should be put in order to improve grain output. Input of labor
force directly affects the grain production. ③ Sowing area of
grain crops is the basic guarantee of grain production. Grain
sowing area from 1990 to 2007 increases a little,and some-
times even declines,but the total grain output still shows an up-
ward tendency. Therefore,it can be concluded that the sowing
area of grain crops has no significant direct pulling function on
grain production. And the space for increasing grain production
by solely expanding sowing area is getting smaller and smaller.
Overall planning of land use in Henan Province (1997 -2010)
has advanced that we should improve the capacity of grain pro-
duction by using the existing arable land and land production
potential with the objective of maintaining the area of arable
land. ④ Fertilizer consumption has relatively great function on
the grain production of Henan Province. Statistics show that a
little more fertilizer consumption has caused substantial in-
crease of grain output. However,an over-reliance on chemical
fertilizers not only boosts the production cost,but also results in
consolidated land,soil degradation,and poor grain quality and
taste. ⑤ Rural electricity consumption,pesticides application
and agricultural plastics take the last three places,indicating
that the level of agricultural modernization is still low in Henan
Province,and the resistant ability to pests and disasters is
weak.
Table 1 Related index of grain production in Henan Province from 1990 to 2007
Year
X0
×104 t
X1
×103 hm2
X2
×104
X3
×10
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