INTRODUCTION
Calculating and measuring national power and designing a model with which
we can compare States in a certain time and or the situation of one country
in two different times has always been one of the challenges facing scientists
in political geography, geopolitics, international relations and political
science. In this respect, to measure the power of countries in all stages
after war many efforts have been made especially in the 60`s and 70`s
(Tellis et al., 2000) pecialists and experts of different fields
have attempted to invent methods with single variable and or multi variables
to determine the countries` situation in the global system and also to
compare them with each other. All of them have ranked and compared the
countries from a multi or limited variable perspective but it has never
reflected the countries complete and extensive power (Hafeznia, 2006).
Measuring the national power of different countries has always been one
the biggest challenges facing political geographers, geopolitical specialists
and international relations. For example Peter Taylor, a political geographer,
has stated this to be a big problem in political geography. He believes
that because power is one of those definitions that cannot be directly
measured, therefore measuring the power of countries has turned out to
be a complication (Taylor, 1993). Some reasons have been the cause of
not being able to design an extensive national power plan by scientists,
for example:
Power is a term which is integrated with qualitative variables and indexes
and measuring of them are difficult.
Because national power and ITS indexes
are in different areas, so accessing a counterbalanced quantitative pattern
and determining their quantitative coefficient is hard (Hafeznia, 2006).
Despite this, many efforts are made to measure the national power of countries
in the form of single or multi variable pattern.
Single variable approaches to measure national power: In the evaluation
of national power some scientists, after assessing the effect of different
indexes have emphasized on one index for measuring national power and
have measured other countries based on that. military expenditures, the
size of armed forces and gross national product are frequently used as
indicators of national power in empirical studies (Jeffrey, 1976). In
general one variable approaches to evaluating national power can be divided
into two groups: The first group is specialists who recognize military
indexes as symbols of power. Experts like Inis Claude and Karl Devteh
who emphasized on military forces; Norman Alcock on military costs and
George Modelski and William Thompson on measuring the navy as an important
index to measure national power (Tellis et al., 2000). The second
group is experts who state that economical factors are more important
and have recognized them as standards on which national power can be measured.
Table 1: 
Single variable approaches to evaluating national power 

Source: Zarghani (2007) 
Table 2: 
Number and type of variables used in conceptual integrated models 

(Source: Zarghani, 2007) 
Among these experts we can name Kingsley Davis, the demographer, specialized
in political sciences that recognized national income as the most important
factor in determining power (Gregory et al., 2004). Also Joshua
Goldstein who recognized Gross National Production (GNP) as the most important
single variable factor in national power (Goldstein, 1999). Table
1 shows different specialists and the type of indexes used by them.
The most important criticism that can be accepted about single variable
approaches are that these types of single variables have a limited outlook
towards national power and cannot express the real national power of states
and their real situation in the global geopolitical system. In other words,
national power has different economical, political, military, social, territorial
and Y; therefore any index or model which only measures one certain aspect
for example the military aspect or military power or has even measured them
from one aspect is not realistic and can`t be a suitable standard to measure
national power. For example, even if oil income has increased the gross
national production in countries like Saudi Arabia, Iran and Venezuela,
there is no relationship between this index and other indexes of national
power. Based on this we cannot measure the national power of countries by
only evaluating this variable (Kadera, 2004).
Multi variable approaches to measure national power: One of the other
methods of measuring national power is by using multi variables and integrating
them and designing a multi variable model. Designing integrated models
(multi variable) by specialists is done in two different types: mathematical
models and conceptual ones. In integrated mathematical models, first of
all the variables are chosen and then by designing a mathematical formula
the type of relationship for the variable integration is determined. Finally,
based on this mathematical model the national power of countries is measured.
For example, we can observe models planned by Clifford German (Richard,
1975) and Fucks (Prescott, 1972). In the second type meaning conceptual
models, a few variables are chosen by the designer as the most factors
affecting national power and then the countries` power are placed in that
group of variables based on their scores and therefore measured. In this
method a certain mathematical formula, that shows the type of integration
and relation is not presented. Among these models, which we can point
out, are the models of Weyne Ferris (1972), Tellis et al. (2000),
Richard (1975) and Saul (1994). Table 2 shows the most
important conceptual integrated models.
Mathematical integrated models and conceptual ones also have difficulties
and faults which we will not attempt to measure in this research. Therefore,
we will only mention the most important criticisms that are about integrated
models (mathematical and conceptual) in the list below:
• 
Limited number of variables used in the models 
• 
Lack of stability in the model based on variable variety and emphasizing
on one certain power aspect 
• 
Lack of proportion in the used variables with the strategically
conformed variables in the current time 
• 
The effect of opinions and personal viewpoints of the designer on
the model (emphasis of economists on economical variables, military
Strategists on military variables, geographers on natural variables)

• 
Using some qualitative variables without presenting methods to use
them quantitatively 
• 
Emphasis in using variables with positive role in power and not
paying attention to variables with a negative role 
• 
Lack of global data about all variables and states 
Based on the findings obtained by evaluating previous national power
measurement models, in this research, a new model is presented and efforts
have been done for it not to have the faults above. Because the main purpose
of this study is planning an integrated model for measurement of national
power and this topic is the main subject of this study. Also the model
tested and the states ranked according to the data of the year 20042005.
The stages of model presentation are presented in the form of research
methodology.
Research methodology and stages of model presentation: The details
of the research methodology are explained in the 13 stages.
Explaining and criticizing theoretical foundations and statements
related to power factors and variables: In this stage, theoretical
topics like power definitions, national power, foundations and power sources
and models to measure power were criticized and evaluated. The information
in this stage was obtained from the library study methods and usage of
books, magazines, quarterly periodicals and the internet.
Choosing a theoretical model as the main foundation for the model design:
In this stage, 28 theoretical models, which were about foundations and sources
of national power and were presented by national and international specialists,
considered and evaluated (Fig. 1).
Then the theoretical model, presented by Hafeznia, which was based on
a number and variety of variables, paying attention to different aspects
of national power,emphasis on negative and positive role of variables,
emphasis on new aspects of power was selected as the foundation of designing
a model for measurement of national power. Hafeznia in his theoretical
model emphasizes on nine factors as the main sources of national power
of the states (Fig. 2) as under.

Fig. 1: 
Repetition of the national power variables in 28 variant theories
(Zarghani, 2007) 

Fig. 2: 
Model with nine factors of national power 
Economical, territorial, political, scientific and technological, social,
cultural, military, astrospace and trans national factors (Hafeznia, 2006)
Gathering variables and indexes effective on national power: In
this stage, a total of 280 variables and indexes effective on national
power were gathered by referring to the four sources as below:
• 
Referring to 28 theories about foundations and elements
of national power 
• 
Referring to data banks of institutions and international institutions
like the World Bank, UNESCO, Military Balance, The World Bank Year
Book CD (2005), Barry (2003) and The Military Balance (20042005)

• 
Referring to internet sites related to the topic 
• 
Using the suggestions of different experts and specialists by interview
and survey 
Sifting the variables: Based on the main purpose of the research
namely designing a model to measure national power of states, the gathered
variables were measured and sifted based on the three standards below:
• 
Standard and global data for them 
• 
Quantitivity of variables or potential to change them to quantities

• 
Availability of variables 
Based on this from 280 variables 130 variables were omitted. The 150
remaining variables were categorized in the form of theoretical model
(nine factors). Economical, political, military, social, cultural and
so.
Evaluating and determining the importance (measuring variables) based
on the Delphi method: In this stage based on the Delphi method and
to obtain the opinions of experts about the effect of variables and indexes
on national power a survey was prepared based on the chosen variables
(150 remaining variables). The survey was a closed survey with a multiple
answer score in which, each of the nine factors affecting national power
were presented separately and the experts taking the survey were asked
to choose from among the answers of: Very little, little, average, a lot
and very much. In the distribution of the survey, many efforts were done
so that there would be proportion between the types of questions of each
factor with the expertise of the specialists. For example, only professors
of political geography, political sciences and international relations
answered questions related to political factors.
Statistical evaluation of the survey results: For a statistical
evaluation of the survey results, also to categorize the variables, the
(SPSS) and (SAS) statistical software`s were used. In addition, to measure
the data the descriptive and comprehensive statistical methods were used.
In the comprehensive statistics, the three methods below were used:
(a) 
Using the alpha Crone Bach coefficient to measure the reliability
of the research survey (Negahban, 2003) 
(b) 
Testing the validity of the questions by emphasizing on Factor Analysis 
(c) 
Using the Factor Analysis method to choose superior variables 
Choosing superior variables by using the factor analysis method:
Because of the extensive research and large number of variables and effective
indexes on national power in the form of nine factors and because of the
positive usage of the experts suggestions who answered this survey, we
used the Factor Analysis method to categorize and choose superior variables.
In this method, the relations between a large numbers of variables are
measured by a few random, unobservable qualities which are called factors
and also CoVariance (Johnson, 1999). From among 150 variables, 87 variables
were chosen based on data obtained from the Factor Analysis method in
which they had the most effect on national power. The 87 variables were
considered as the final variables used in the national power measurement
model.
Designing the first model based on the matrix method: The chosen
variables (by the Factor analysis method), were the foundations for designing
the national power measurement model. The way to measure national power
was by using the matrix method. In this method, twodimensional charts
were used. In one dimension were the names of the countries and in the
other charts containing names of indexes and variables. Then, related
amounts were placed in the chart and finally the numbers were added to
each other by algebra method and the amount of national power for each
state was determined (Hafeznia, 2006).
Entering gathered data of states in the matrix chart: The gathered
data about 140 countries or states and 87 variables was entered in the
matrix. The information about 140 countries was placed in the rows and
the information related to the 87 variables in the columns. In order to
calculate the countries` scores, faster and more precisely, the matrix
was drawn in a computer by using the Excel software and the information
about variables and countries was placed in nine separate boxes in the
matrix. About the 87 variables and 140 countries, a chart with 12000 boxes
was created and 12000 data was recorded in it.
Changing variable amounts to scores: One of the most important
and at the same time most difficult stages in designing the national power
measurement model, was the proportioning and in other words standardizing
of scoring methods to variables and indexes. Because the components and
variables were various and were placed in different fields and areas,
accessing the quantitative counter balancing pattern and determining the
amounts and quantitative coefficient for them was very hard. Measuring
all the power which is a product of all factors and various variables
is in need of changing each of the variables to equal sizes and amounts
so that there will be a chance for their integration (Hafeznia, 2006).
If by any chance there is a small mistake in this stage, it can cause
an unrealistic calculation and illogical increase or decrease of the countries`
scores and in the end can cause big problems in comparing the national
power of countries. In order to give scores to the variables and indexes,
in this research the four different methods below were used.
The method of proportional percentage: In this method, the score
of each country is based on its share in the overall amount of variables.
For example: Total Nanotechnological papers of the world published in
the journals with ISI index at 2005 have been: 41665 and the number of
such paper for Iran have been: 53, so the Proportional percentage of Iran
has been equal to: 0.127.
Morris`s index method: The second method is a method that is called
the Index method in this research and it is derived from the World Bank`s
methods in creating indexes like human development index (Anonymous, 2005).
The basis of this method is that in order to determine an index from a
variable, we measure it`s maximum and minimum amount and then based on
each number related to each country and also the below formula, we calculate
the number related to that variable by an index:
Intentional method: In this method, which is about different variables
and the average of that variable, a number is considered as the base and
than the obtained number of countries about each variable is measured
based on that. For example, about the per capita income of the countries,
for every $1000 of per capita income a positive score is considered and
then the per capita income of countries is scored based on that.
Using the indexes own numbers as a score: The fourth method is
usually used with indexes which have been used in the model. Because indexes
like human development index or digital availability index are the achievements
gained by experts throughout the years, therefore it seems as if it is
better that each country`s number about each index, be considered as that
country`s score for that index. For example, the number related to Iran
about human development index is 0.732; so in this method 0.732 is considered
as the score for Iran.
Designing a new matrix based on variable scores: After the amounts
relating to variables and indexes are changed to scores by using the four
previous methods, a new matrix is designed where scores of variables replace
numbers of variables. Like the previous chart, this chart is also drawn
in the computer by using the Excel software and the scores of 140 countries
about 87 variables are recorded in it.
Table 3: 
Simple lineal model to measure national power 

Source: Zarghani, 2007 
The algebraic addition of positive and negative scores of variables
in each index and determining the total amount of scores in each index:
By calculating the scores according to algebraic ways related to variables
of each factor, the final scores of countries about each factor are determined.
For example, by consideration of positive or negative role of variable
in calculating (algebraic) the scores of the 12 economical variables,
the total scores of all countries in the economical factor are determined:
Economical factor score = gross national production score + the score
of attracting foreign investment + score of all financial sources B score
of negative trade rate and Y.
Calculating the nine factor scores and determining the national power
of states: After determining the score of each country about each
of the nine factors, the total score of countries in the nine factors
is calculated, based on the simple lineal model below which is based on
the algebraic addition of the nine factors (Table 3). Therefore, the number
obtained by adding the nine factors shows the amount of the national power
of countries. Based on this number we can construct a power structure
for the world and compare the national power of countries in each of the
factors separately or based on the total score of the nine factors (national
power).
RESULTS
Here, the study`s results are measured based on the national power measurement
model about each factor.
Ranking national power based on scientific and technological factor:
In the scientific and technological factor, 12 variables were chosen by
the Factor Analysis method. It means that according to the experts answering
in the survey, from among the 22 variables presented in the scientific
factor, 12 variables have the most effect on the national power of countries.
These 12 variables are:
Table 4: 
Top ten powers in the scientific and technological factor 

Based on the obtained scores in Scientific and Technological factor as has
been shown in the Table 4: United States of America (USA) has the number
one rank in the world with a score of 100 and the next ranks, respectively
are: Japan, Germany, United Kingdom, China, France, Russia, Canada, South
Korea and Belgium. Like most of the factors the difference between the countries
in first and second ranks are a lot and approximately 2 times more.
Ranking the power of countries based on economical factor: The
chosen economical indexes and variables, which are based on the Factor Analysis
method, include:
In the economical factor as has been shown in Table 5, the USA has the highest
score (100) and China, Japan, Germany, England, Canada, France, Australia,
Russia and Italy are the next top countries ranking 2 to 10.
Ranking the power of countries based on the social factor: The
social factor consists of 11 variables, which have been chosen from among
23 variables by using the Factor Analysis method.
Table 5: 
Top ten powers in the economical factor 

Table 6: 
Top ten powers in the social factor 

From among the final chosen variables, three variables have negative impact.
These 11 variables include:
In the social factor as has been shown in Table 6, USA with 100 score has
the first rank and the next ranks, respectively are: China, Germany, Italy,
UK, Japan, Spain, Canada, Belgium and Australia.
Ranking the power of countries based on the territorial factor:
The territorial factor consists of 11 variables which, based on the experts
who answered the survey had the most effect on national power and were
chosen based on the Factor Analysis method. These are as under:
In the territorial factor as has been shown in Table 7, the US stands
in the highest position with a score of 100 Countries like Russia, Canada,
Australia, china, Brazil, Kazakhstan, India, Norway and Iran are the countries
ranking two to nine.
Ranking the power of countries based on the cultural factor: The
cultural factor consists of 10 variables:
As has been shown in Table 8, in the cultural factor ranking the powers
is in such a way that the US stands at the highest position with a score
of 100 and countries like UK, France, Spain, Japan, Germany, Italy, China,
Russia and Sweden are the next top ten countries. The score difference
between the first country and the next top ten countries is very little.
Ranking the power of countries based on the political factor:
The political factor consists of 10 variables as under:
In the political factor as has been shown in Table 9: Finland is in the
first position with a score of 100 and Denmark, Sweden, Norway, Switzerland,
Netherlands, Australia, Austria, New Zealand and England are, respectively
in the next ten positions.
Table 7: 
Top ten powers in the Territorial factor 

Table 8: 
Top ten powers in the cultural factor 

Table 9: 
Top ten powers in the political factor 

Ranking the power of countries based on the transnational factor:
The transnational factor has 10 variables. The method used to score this
factor is mainly based on the Proportional Percentage method. This variable
includes:
As it is shown in Table 10, in this factor, the US stands in the first position
with a score of 100 and China, France, UK, Russia, Germany, Japan, Canada,
Italy and Spain stand, respectively in the positions ranking 2 to 10.
Ranking the power of countries based on the astrospace factor:
In general, the Astrospace factor has 4 variables.
Table 10: 
Top ten powers in the Transnational factor 

Table 11: 
Top ten powers in the Astrospace factor 

Table 12: 
Top ten powers in the military factor 

Because of the limited number of Astro space variables; There is no need
to use the Factor Analysis method. These variables include:
In the Astrospace factor, only 39 countries have the capability and the
other countries have not scored any point in this factor. Among these 39
countries as it has been shown in Table 11, United State has the highest
rank with a score of 100. After USA, Russia (33), Japan (10), China (10),
France (5), UK (4), India (4), Canada (4), Brazil (2) and Germany (2) stand
in the next positions. The number of satellites that the US has is two times
as much as all the satellites of the other countries put together. The US
has 423 satellites while the other nine countries have 242 satellites put
together.
Ranking the power of countries based on the military factor: In
the military index, eight variables were chosen as under (The Military
Balance, 20042005):
According to this factor as has been shown in Table 12, USA has the
first position in the world. In the next position, respectively are: Russia,
China, UK, France, Germany, India, Turkey, Japan and South Korea.
DISCUSSION
After the countries` scores were determined about the nine factors, with
algebraic method, the scores of the nine factors are considered as the
final scores of states which show the national power of the countries.
According to these outcomes a global geopolitical structure can be drawn.
In addition, the geopolitical structure can be drawn in each of the geographical
regions. Drawing the global and Territorial power structure can be based
on one or a few factors. For example, based on the economical index, we
can recognize the superior economical powers in the world. In addition,
we can rank the geopolitical effect of the states in the world or in
the regions.
According to this method and as has been shown in Fig.
3 and 4 the first power of the world for the year
2005, is United State with 882 scores, the next nine position of the global
power, respectively belong to: China (462), Russia (458), United, Kingdom
(440), Japan (424), Germany (402), France (391), Canada (366), Australia
(324) and Spain (319).

Fig. 3: 
Top ten powers in the all factors (national power) 

Fig. 4: 
The first ten global powers 

Fig. 5: 
Global Geopolitical Structure (Power levels based on the scale of
National power) 
As it has been said, after determining the countries scores in the factors,
a global power structure can be drawn out. Based on this, as shown in Fig.
4, the power level of countries is determined and based on that the
global geopolitical structure is drawn. It must be said that the power
levels are done in two ways: Polar (with a vertical structure) and systematically.
In this research the power levels are determined and based on the countries
scores (500 to 1000, 400 to 500 and ...), the global power structure can
be drawn out.
According to the Fig. 5 of global geopolitical structure,
there are five levels of the powers as under:
First level 
: 
With ranging scores of 5001000. Only USA with 882 scores is the
first global power. 
Second level 
: 
With ranging scores of 400500 including: Russia, China, UK, Japan,
Germany and France. 
Third level 
: 
With ranging scores of 200400, including: Canada, Spain, Italy,
Sweden, Norway, Switzerland, India, Iran, Brazil, South Korea and
... 
Fourth level 
: 
With ranging scores of 100200, including: Thailand, Ukraine, Malaysia,
Romania, South Africa, Egypt, Kazakhstan, Saudi Arabia, Morocco and
... 
Fifth level 
: 
With ranging scores of 1100, including: Syria Libya. Iraq, Yemen,
Qatar, Turkmenistan, Niger, Chad, Mali, Central Africa, Lesotho, Liberia,
Mauritania, Sierra, Leone, Eritrea and .... 
CONCLUSIONS
Measuring national power of the states to determine the country`s status
in the global geopolitical structure and comparing countries` powers
has always been one of the main concerns of political geographers, scientists
of political science and international relations. From this aspect, many
specialists attempted many efforts to measure national power by means
of creating methods by single variable and limited multivariable models,
whereas all of them have been insufficient for measurement of national
power. In this research, based on criticizing and assessment of previous
models for the evaluation of national power, a new model is being presented
to measure national power of the states. it is much better than previous
models based on working method, number and integration of indexes and
variables affecting national power. We can even state that the designing
of such a model and at a such an extensive scale, has been done for the
first time. The advantages of this model are:
• 
Paying attention to all different aspects of power in
the form of these nine components: economical, political, military,
transnational, astro space, territorial, social, scientific and technological
and cultural 
• 
The number and variety of the variables used in the model; in this
model approximately 90 variables in different aspects were used 
• 
Using the Delphi method and referring to suggestions made by the
experts to measure the role and importance of variables on national
power 
• 
Drawing the global geopolitical structure based on the national
power of the countries and determining countries position and situation
in the world power system 
• 
The possibility of comparing country`s power in the geographical
regions and drawing a regional geopolitical structure and evaluate
the position and situation of the states in the regional power systems.

• 
The model is flexible and can develop and improve to come better.
Also it has capability for measurement of national power of the
states annually 
ACKNOWLEDGMENT
The authors would like to express their thanks to Tarbiat Modares University
for financial support from the research project.