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	The Effect of Defence Research and Development Expenditure upon the Employment of Talented Labour: The case of UK�s Defence Industrial Base

Sami Chraa

Abstract: This study focuses upon the effect of defence research and development expenditure on the employment of science, technology, engineering and maths (STEM) workers in the defence industry.  A viable industry-specific model was induced and estimated using data on the British defence industry from 1997 to 2011. The results show no relationship between R&D spending in defence and employment of STEM workers but do show a negative effect between the R&D expenditure in the civil sector and the employment of STEM workers. 

Introduction

Albeit the focus of the mainstream defence literature has been upon the effect of military spending on the economic growth merely a limited proportion of this academic research has considered the macroeconomic effects of military spending upon employment. The massive literature on the impact of defence spending upon growth, whilst emphasizing upon the per se effect (mostly on developing countries), was addressed both from Keynesian and neoclassical point views generating, thus, conflictual results. The neoclassical models found a positive relationship through externalities and technology spin-offs, whereas the Keynesian models seemed to find negative correlation between both variables (i.e. military spending and growth), and rather highlighted upon crowding-out effect of investment, education and health spending (i.e. the financial and human resources that flow out of the private and public sector towards the defence industry).  

This paper will examine the possible reasons behind the limited research on employment at the macroeconomic level in the defence literature, and will suggest a viable industry-specific model to understand the particular effect (at a macroeconomic level) of the increase or decrease in defence research and development (R&D) expenditure, and qualifications gained in STEM -science, technology, engineering and math- areas upon the level of employment of �talented labour�(i.e. highly-skilled labour) in the United Kingdom�s defence industry. Our interest lies in the macroeconomic effect of military spending upon the employment of highly skilled workforce (i.e. scientists, engineers etc.) in defence industrial base nations.          

Underlying issues in researching the effect of R&D expenditure upon the employment of talented labour

In contrast to the extensive body of literature on the macroeconomics perspectives of defence spending and growth, there is no corresponding body of literature on the general macroeconomic effects of education (qualification gained by subject), and defence research and development (R&D) expenditure upon the employment of highly skilled labour in a nation with a defence industrial base. In the literature engaging in understanding the correlation between military spending and growth, a number of theoretical models are used to define the various possible effects, with the credibility of these models tested against the evidence from specific developing countries.          
  
The empirical evidence addressing the military spending effect on employment however, suggests that unemployment rates do not enhance with respect to military spending. For instance, a study by Dunne and Smithshow that unemployment and military expenditure are Granger independent and the proportion of military expenditure has no significant effect on unemployment. Moreover, a study by Yildirim and Sezgin on the effect of military expenditure on employment in Turkey, also finds a negative relationship between both variables. Furthermore, Abell finds that the defence spending Granger causes unemployment. Whilst most of these studies did not cover the effect of defence R&D upon the output in the defence industry and consequently the level of employment of highly skilled labour, the model used by Yildirim and Sezgin did not depict some variables, which could had a major impact on the findings. Indeed, their model captures merely the effect of real wages and military expenditure upon the total employment neglecting, thus, the effect of education (by subject of studies) and private investment on the increase or decrease of the workforce in the market of defence.    
 
In contrast, a study by Hartley, showed that on �Typhoon development work, typical salaries were some sixty percent (60%) higher than the average earnings in all EU industries�. Also, a study by Dunne including different regions showed that there �are clear significant short and long run negative effects of military spending only for the low income countries�. These two examples from the wider body of literature on the macroeconomics of defence spending contain different forms of methodology that address the benefits of military spending at a macroeconomic level. However, whilst both studies indirectly agree upon the positive effect of military spending on economies of developed countries, the first study focused -as the vast majority of macroeconomic research on defence- merely upon the effect of military spending on growth and not employment, whereas the second addressed the economic and industrial benefits of a particular programme and not the industry as a whole. 

Any academic investigation on the subject of employment of highly skilled labour in defence will inevitably face a number of inherent practical difficulties. These difficulties are a direct consequence of the sensitivity and complexity of the defence industrial base, and limitations associated with the various data sources utilised to estimate the size and average salaries of the highly skilled manpower working in such industry. These estimates might, in some cases, not reflect upon the actual size or wages of the defense industrial base highly skilled labour. Whilst there is a handful of very large defence suppliers in the United Kingdom (UK), such as, BAE Systems, Goodrich, EADS (Astrium), Airbus and GE Aerospace, and Thales, it is almost impossible to have access to data on highly skilled workers. The author however, used qualitative data to (I) outweigh the lack of accurate quantitative data and (II) support the empirical findings of the industry-specific model used. The qualitative data takes the form of both verbal and written responses to an email-questionnaire survey that was sent out in the UK to a sample of forty defence firms specialised in software, electronics, systems of integration, and engineering. The results are integrated in this paper with the quantitative empirical findings.            
The talented or highly skilled workforce is defined in this context as those who support research, enquiry and technology, and contribute to the growth of disciplines such as science, technology, engineering, and maths (STEM). The STEM manpower skills are defined by the UK commission for employment and skills as �those skills which are held by people with a STEM-related qualification at level 4 and above including: data analysis and interpretation, research and experimental design, testing hypotheses, analysis and problem-solving, and technical skills�. Further, the UK commission for employment and skills also broadly defines STEM subject areas as the following subject groups:  
Medicine & Dentistry
Veterinary Sciences
Subjects Allied to Medicine (excluding Nursing)
Agriculture & Related Subjects
Biological Sciences (including Psychology and Other Biological Sciences)
Physical Sciences (including Chemistry, Physics, Archaeological and Forensic Sciences, Physical Geography and Other Physical Sciences)
Technologies
Engineering
Mathematical Sciences
Computer Sciences
Built Environment (including Architecture and Building subjects but excluding Planning subjects).
The demand for this high calibre workforce in the defence industry could be difficult to define, as it is a matter of confidentiality and discretion over employment in such a complex industry.  However, the STEM workforce in the defence industry will be defined here (by vocation -i.e. those identified as STEM workers by their qualification and working in the defence sector-) with respect to the UK commission for employment and skills generic definition -where the necessity of �data analysis and interpretation, research and experimental design, testing hypotheses, analysis and problem-solving, and technical skills�-. On the other hand, the supply of the STEM manpower will be based upon the number of undergraduates or postgraduates having received a degree in one of the STEM areas of studies as defined above. Further, we will emphasize more (for the interest of the study) on the areas of engineering, mathematical and computer sciences, technologies, and physical sciences, as the latter areas are highly influential in defence output and very solicited by the Ministry of Defence in the UK. 


Overview of the UK defence industry and employment of the Science, Technology, Maths, and Engineering (STEM) workforce

The UK defence industry is considered as a major contributor to economic growth. The per se industry generates �15 billion per annum and induces employment, technology, innovation and exports� growth. The defence industry is crucial to the UK manufacturing sector �the latter accounts for 20% of the UK�s gross domestic product (GDP)- as it directly employs over 4 million people. About 300,000 people are employed in high-value manufacturing and engineering positions, whilst the industry provides around 3% of the UK�s manufacturing output. Further, it has a crucial role in supplying the Armed Forces with the needed ordnance and high-standard technologies, cutting edge equipment and supporting services. As in every monopsonistic defence market, the government remains the single largest buyer of Britain�s defence industry�s produce. Moreover, Britain was one of the first European nations to encourage the defence players to operate in an open market, as a way to improving the overall market efficiency and effectiveness, and to increase competitiveness and breed high technologies that may be cheaper to procure.     

The change in the international market conditions however, and the consolidation of the American defence industry in 1993 (supported by the government) led to a systematic consolidation within the European nations and consequently the emergence of national giants such as BAE Systems in the UK, Thales in France, or even the European Aeronautic Defence and Space Company (EADS) which is a pan-European consortium.  The objective was to have a strong cost-efficient, competitive European defence industry capable of defeating international concurrence and providing cutting-edge output to suffice European military needs. Within the UK, the main suppliers or �prime contractors� as they are referred to (for instance, BAE Systems) heavily committed to the civil industry in an attempt to outweigh the lack of defence spending and increase profit. Further, they acted as transnational rather than national companies, invading thus other markets and increasing their share in international arms� sales (For instance, BAE Systems was ranked second in the top ten largest arms-producing companies in 2010).       

The UK defence industry is the constellation of national and foreign-owned companies, and whilst firms such as BAE Systems and Rolls-Royce are under private ownership, the government still imposes the 15 per cent shareholding limitation to prevent ownership control of a single individual or entity and to preserve the national interest. The international economic instability and the effect of the 2008 financial crisis however, had major repercussions upon the level of spending in defence. Further, as a consequence of the spending cuts, expenditure destined to research, technology and development (RT&D), substantially decreased by sector of performance (i.e. government, research councils, business enterprise, higher education, and private non-profit) as shown in Figure 1.  


Figure 1: Defence R&D expenditure (in �million) by sector of performance in the UK. The author collected the data from the Office for National Statistics, Statistical Bulletin 2013. 

The ministry of defence faced substantial difficulties in balancing its budget after the announcement in 2010 of a �funding gap of �38 billion over the next 10 years�. The strategic defence and security review set measures in favour of cutting a proportion of the total workforce resulting in a reduction in 2011 of both military and civil defence personnel by 14 and 34 per cent respectively. The reduction of the civilian workforce through the redundancy programme and the voluntary early release scheme (VERS)could have an unprecedented impact upon the overall skills in the industry in question. Highly skilled workers whether made redundant or merely feeling the urge to leave the defence industry (as they oversee further decrease in funding and deprivation from facilities) would join the civil sector, causing the disruption of technical progress in defence and resulting thus in the dissipation of financial and human resources. This in turn will jeopardise future military deliveries and the ability to produce innovative equipment and cutting-edge technologies, and will undermine the ability of the UK�s defence industry to rise to the challenge in such a versatile market. 


Figure 2: UK defence civilian workforce. The author collected the data from the Defence Analytical Services and Advice (DASA). 
* Level 1.
**Trading funds.

Figure two above shows the steep decrease in the defence civilian manpower in trading funds (where highly-skilled labour) and level one. The civilian personnel fell from 9,400 to 7,100 and from 63100 to 54500 in trading funds and level one respectively. The substantial decrease in trading funds workforce is however, �primarily due to the transfer of the Meteorological Office to the Department for Business Innovation and Skills (1,800 employees)�.    
 
The workforce reduction forecast for the next ten years will inevitably affect the structure of the industry in terms of skills. If the current changes neglect the need for technical progress, and consequently the need for highly-skilled labour capable of revolutionizing the defence output, then the impact upon the per se industry would be severe in the long run, and would further eradicate the possibility of any spin-offs between the defence and civil sector. Moreover, the ministry of defence (MoD) identified a skill-gap in some critical areas such as engineering and science, defence policy, and finance whilst there is a considerable number of vacant posts. This may reflect upon the behaviour of labour working in these particular areas, and could state the non-satisfaction of the workforce as to the current drastic changes in defence.   

Whilst the science, technology, engineering, and maths (STEM) workforce constitutes the heart of every developed, innovation-based industry, the government (as opposed to the private sector) has still the capability -through increased real wages and substantial facilities- to convey this particular labour to working in defence. The current economic instability however, and the further expected cuts would eventually result in the movement of this highly skilled workforce towards the civil sector, which could encourage a public-private partnership through funding. That is, whilst presently the government is coerced to downsize its facilities and reduce manpower cost, it could benefit from the highly skilled workforce, working say, in the private sector, national universities and elsewhere through project-based funding schemes. The government is thus encouraging technical progress without per se embracing costs arising from the maintenance over time of such highly skilled manpower (in terms of payroll, facilities etc.). Rather, this would expand the innovation horizon through government-funded projects respecting strict deadlines (this would eradicate repetitive production cycles) and specific features of the needed output, instead of �standardized� commercial off-the-shelf products.             
   
The crowding-out effect associated to the excessive government spending has for decades been the subject of a controversy. It is argued that national pay harms the stability of local labour markets, through the inflation of wages over time. Further, �the exhaustible� qualified skilled manpower, is often said to be asymmetrically distributed amongst sectors as a consequence of the diversion of the latter away from the public and civil sector to the defence industry especially for the benefit of R&D. This is said to have a negative impact on the competitiveness of civil high technologies in the international trade. An empirical study by Buck however, showed no evidence of a crowding-out, as there was no long-term relationship between defence and civil R&D spending. Further, Morales-Ramos found that defence R&D in the UK has a positive impact upon the civil sector through �transfer of technological advance� from defence to the civil industry.  

Interestingly, in the UK, there is still a mismatch between the STEM skills supply and demand in some sectors. It is argued, that, a significant proportion of the STEM graduates work in non-STEM areas/occupations. In England, �40 per cent of STEM graduates went into non-STEM graduate occupations in 2008/09�. Further, employers in specific subsectors report a lack of appropriate skills (for instance, industrialism specialism). Wilson however, argues that a considerable number of STEM graduates are employed in public administration, defence, and education services away from the manufacturing and primary industries (although the number of STEM graduates in these sectors is still relatively considerable). This may be a result of the wage premium for STEM graduates with respect to sectors of activity (average salaries for STEM graduates in science occupations are �36,000 compared with �32,000 for those in non-science occupations). Moreover, a CBI education and skills survey reveals the increasing search of large companies for overseas STEM-qualified graduates.  This may be caused by the shortage in terms of STEM skills (as identified by a study of the Royal Society) resulting from the small proportion of British students enrolling in STEM areas (as opposed to international students) at postgraduate level within Britain. 
Neoclassical theoretical model 

The model takes the form of a neoclassical function with factors technology, capital and labour. The demand for labour is endogenously given with the assumption that it is function, ceteris paribus, of the price of output, which is in turn function, ceteris paribus, of the marginal costs and the level of demand in terms of defence output. Technology and capital are assumed to be both exogenously given.  

Assuming a defence firm with output Ydt at time t, and two factors of production, namely, capital and labour, Kt and Nt respectively. For the purpose of this paper, labour Nt is divided into two categories viz., �talented� and �ordinary�. Further, we assume technological improvement or innovation is a complement through a �technology-usage preference rate� stimulating the increase in productivity of labour in general and to a greater extent of talented labour. That is, the use of advance software packages, IT-based equipment, sensors etc., would facilitate labour work leading, ceteris paribus, to an augmenting marginal productivity per unit of output of labour. The effect of technology on the productivity of ordinary labour however, might be �negative� say, for lack of education, training or if the firm is technology intensive (i.e. substituting technologies for the proportion of unskilled labour-this would be, ceteris paribus, the firm�s choice with respect to expected profit) QUOTE   Per contra, we suppose highly skilled labour having all the expertise and skills (required) would see technology rather as a true complement for increasing productivity.       
   
For simplicity we assume, that, labour (working in the firm) is divided into merely skilled and unskilled. Here, talented labour (T QUOTE   is defined as skilled (i.e. scientists, engineers and workers that fall in the STEM category), whereas ordinary labour  QUOTE   is defined as the unskilled (having a lower education degree or diploma). Further, Hicks-neutral technological progress parameter is defined as ( QUOTE  ). Although the foundation of this model is neoclassical, technical progress is identified here through a �technology-usage preference rate� (Pt), which is to address the effect of the existent technology used on labour in terms of preferences, whether it is enabling -labour is perfectly satisfied and prefers the use of advance technologies in their chores-, thus, augmenting the marginal productivity, or rather disabling -labour is unhappy with the technology used and prefers not to use modern technologies in their chores- and therefore diminishing the marginal productivity. Whilst the rate of technical progress is constant, technology preference rate is not (here, what changes is merely the preference-a change in the preference would, ceteris paribus, change the demand and supply curve through the marginal productivity-) and rather defined as QUOTE  , where  QUOTE  .  QUOTE   is the utility of technology ( QUOTE  ) (isoelastic utility function) where the coefficient of (relative) risk aversion  QUOTE   is positive, QUOTE   .  QUOTE   is the earnings of total labour working in the firm and ( QUOTE  ) the discount rate (positive,  QUOTE  ). Solving for the preference rate, 

 QUOTE  ,

  QUOTE  


Here, as the coefficient of risk aversion approaches the infinite (i.e.  QUOTE  ), the preference rate ( QUOTE  ) equals zero. Contrariwise, as the coefficient of risk aversion approaches zero (i.e. labour is risk neutral,  QUOTE  ), the preference rate ( QUOTE  ) equals  QUOTE  . Maximizing the preference rate with respect to technology (T) using first order condition, 


Which is to say, preference over technology at time (t) must be equal, ceteris paribus, to the total income of a number of labour working in the firm (i.e. QUOTE  ) over the price of technology capital (i.e.  QUOTE  ), that is the interest for the investment in technology), from the previous period, or in other words labour/technology-capital price index. That is, the effect of a change in the price of capital technology upon the price of labour, and consequently the impact, ceteris paribus, upon the technology preference rate.  

Let Yd, be the firms� production function (which takes a Cobb-Douglas form) with constant return to scale production and technology defined as, (I)  QUOTE   F (K, T QUOTE  ,  QUOTE  , where  QUOTE   and  QUOTE  are the technology-preference rates for talented and ordinary labour respectively. For the purpose of this study (in which the interest is particularly in skilled labour employment, and consequently their productivity), the model is to address the effect of skilled and unskilled labour�s �technology-preference� upon their productivity. 

For as technology itself is exogenously given, the �technology-preference� is endogenous to labour, and is function, ceteris paribus, of the utility of technology to labour. Using Euler�s homogenous theorem, and differentiating the equation with respect to (t) gives us,

 QUOTE             (II)

Substituting  QUOTE  for the proportion of capital and labour in the firm�s gross production function, and  QUOTE  ,  QUOTE  and  QUOTE  for the growth of capital, talented and ordinary labour, the equation (II) becomes:

 QUOTE   (III)

Therefore, the production function is equal to the total of technological improvement  QUOTE  , and the growth of capital and labour (both talented and ordinary), that is,  QUOTE  ,  QUOTE   , and  QUOTE  , and their respective marginal productivity, that is,  QUOTE   ,  QUOTE  , and  QUOTE  . Here, labour growth depends on  QUOTE   �the technology preference rate�, such that,  QUOTE  , so that the weighted growth of labour is given by the fraction of work carried out by talented and ordinary labour with respect to their preferences in terms of technology-whether it is stimulating or rather discouraging-, and its proportion in the aggregate production function.   

Assuming the defence firm operates in a competitive market, thus, embraces costs in terms of factors of production, then, talented and ordinary labour have respective costs of  QUOTE  and  QUOTE  , whereas  QUOTE   is defined as the price of capital  QUOTE   and  QUOTE   as the price of output QD. The revenue function of the defence firm at time (t) is then:

 QUOTE                    (IV)

Maximizing the output of the defence firm, with the property F (Y) subject to f(R)= 0, and  QUOTE  , thus, partially differentiating  QUOTE   and  QUOTE   (where,  QUOTE  ) with respect to talented, ordinary labour and capital whilst holding  QUOTE   and  QUOTE   to satisfying the constant return and technology, yields: 











 
Here, the price of inputs, namely, capital and labour, is equal to the marginal product. Further, the price of labour is equal to the marginal productivity of talented and ordinary labour with respect to �labour-technology preference rate� (i.e. usage-preference in terms of existent technology) times �the price of output�. That is,  QUOTE   for talented and ordinary labour respectively. Moreover, the marginal productivity of capital, talented and ordinary labour, is equal to the input-output price ratio, that is, QUOTE  ,  QUOTE   and  QUOTE   for capital, talented and ordinary labour respectively (see Figure 4 -the differential matrix-). Therefore, the change in the price of output  QUOTE   would be governed by the change in the price of inputs with respect to the marginal productivity. The price of labour however, whether talented or ordinary would be affected by their marginal productivity through the technology preference rate. That is,  QUOTE  ,  QUOTE  ,  QUOTE   for capital, talented, and ordinary labour respectively. 

For convenience, let�s assume, that, the defence firm would emphasise upon the substitution between inputs, namely, talented and ordinary labour, say, as a result, ceteris paribus, of increasing marginal costs. Suppose the reciprocal elasticity of substitution ( QUOTE  ) is between one and the infinite (i.e.  QUOTE  ) then the substitution between talented and ordinary labour would be given by the change in the marginal productivity of talented and ordinary labour with respect to the change in their wage rates, that is:  



Substituting  QUOTE   and  QUOTE   for their respective values (see equation (II)), that is, the marginal productivity of talented and ordinary labour (i.e.  QUOTE   and  QUOTE  ). The reciprocal elasticity of substitution ( QUOTE  ) becomes: 




Here, the change in the wage rate of ordinary labour (i.e.  QUOTE  ) Would be affected, ceteris paribus, by the change in their marginal productivity with respect to the technology preference rate. In an interesting paper, Acemoglu studied the effect of the level of relative supply of labour (both skilled and unskilled) upon the skill premia, (which he defined as the wage ratio of both skilled and unskilled) using technology-augmenting terms (with the assumption that the economy is technology biased). Indeed, the paper identifies that a relative increase in skilled labour demand would result in an increase in the wages of the unskilled (assuming the demand level for the unskilled workers shrinks), but neglects the long-term effect of labour preference (which is in our paper, function, ceteris paribus, of labour utility of technology) over technology in the production function. That is, if the defence firm were skill biased and therefore favoured labour capable of using advance technologies as a complement (i.e. to facilitate labour work, and may be increasing the productivity), then an increase in ordinary labour preference over technology -as they perceive new technologies are skill-biased, and say, enrolled at university level (for instance, as part-timers) to gain a degree and therefore became skilled- would lead, ceteris paribus, to an increase in the growth rate of ordinary labour over time, as they move from the unskilled to the skilled sphere (see Figure 3), thus, the change in the level of demand for talented labour, and consequently, a change in the wage rate of both talented and ordinary labour.  

The latter reasoning would simply be the result, ceteris paribus, of equality in skill distribution. That is, wages of skilled workers are unaffected by the level of relative supply of skilled/unskilled but rather, ceteris paribus, by their marginal productivity and their preference over technology. This is shown in Figure 3 below, where the increase in ordinary labour technology preference (technology is assumed here as linear for illustration) results in the latter moving vertically upwards from point  QUOTE   to the point  QUOTE  , causing, ceteris paribus, the relative supply of talented labour to fall horizontally from level  QUOTE   to  QUOTE   where it matches the level of supply of the now skilled ordinary labour. Assuming the marginal productivity with respect to the preference over technology is positive for both talented (i.e.  QUOTE  ) and ordinary labour (i.e.  QUOTE  ), the slope of the indifference curve ( QUOTE   would be negative, resulting in the marginal rate of substitution ( QUOTE  ) between talented and ordinary labour to take place in the red shaded area, that is, the triangle  QUOTE  . 


 QUOTE  	
	 QUOTE   (Technology)


                                                                  QUOTE               QUOTE  
 QUOTE                              QUOTE              
	    	 QUOTE  (Technology)
                               QUOTE  
	 QUOTE                              
 QUOTE  
	 QUOTE  
	 QUOTE  	
	 QUOTE  
 	 QUOTE                   QUOTE   
                       Figure 3. 

 If the reciprocal elasticity of substitution  ( QUOTE  ) is unity (i.e.  QUOTE  ), then the relative income shares of both talented and ordinary labour would stay constant, and the substitution does not take place in the defence production function. Per contra, if the elasticity parameter is greater than 1 (i.e.  QUOTE  ), then the production function would be subject to the relative increase in income shares of either talented or ordinary labour. The substitution here, is assumed to be driven by the impact of the �price of inputs� upon the �price of output�, and whether an increase/decrease in the price of output would shift the demand for weaponry, thus, a positive or negative slope of the defence firm�s iso-profit curve (i.e. higher or lower profit).

Y2 pQ(K)2 pQ( QUOTE  )2 pQ( QUOTE  )2       
Y2 I---Y(K)2 
---Y( QUOTE  )2 
---Y( QUOTE  )2 
---Figure 4: Differential Matrix
MPK: marginal productivity of capital.
MPT: marginal productivity of talented labour.
MPO: marginal productivity of ordinary labour. 

Substituting QUOTE  ,  QUOTE   and  QUOTE   (see figure 4 -the differential matrix-) into equation (II) with their respective values, the equation is given by:

 QUOTE   (III)

Where  QUOTE  is a constant,  QUOTE   the level of investment,  QUOTE   and  QUOTE   as the level of employment of talented and ordinary labour respectively. Subtracting QUOTE   from both sides and moving the level of employment of talented labour (i.e. QUOTE  =  QUOTE  ) to the left hand side, the estimation equation (in absolute value) becomes: 

 QUOTE        (IV)

Which is the unrestricted model, where ( QUOTE  ) is an error term. For convenience we introduce a restriction to equation (IV) whereby  QUOTE  , that is the level of output and level of employment of ordinary labour (i.e. unskilled workers) equal zero. The restriction here is based upon the assumption that output and ordinary labour (i.e. unskilled workers) are both redundant. The estimation equation, therefore, highlights merely upon the focus of this research, which is to study the possible effect of research and development expenditure upon talented labour (i.e. STEM workers) in the defence industry. Including factors such as, ( QUOTE  ),  QUOTE   �as a fraction of income ( QUOTE  -,  QUOTE  , and  QUOTE  , all assumed to be significant explanatory variables in this model, the statistical logarithmic equation for estimation becomes:        
 
 QUOTE      (V)

Where  QUOTE   is the employment of talented labour in the defence industry -being the dependent variable-.  QUOTE   is the level of investment (i.e. I= QUOTE  ),  QUOTE   denotes the proportion of income ( QUOTE   devoted to research and development (R&TD) for both the civil and the defence sector, and defined as  QUOTE  , where  QUOTE   is a constant.  QUOTE   is the total university undergraduate and postgraduate qualifications (obtained in STEM areas).  QUOTE  is real wages of talented labour in the defence industry,  QUOTE   is the distortion effect �upon employment of talented labour- caused, say, by the employment of imported labour, and finally  QUOTE   as the error term,. Here,  QUOTE   is defined as the wage of imported labour, which is equal to the reciprocal of the elasticity of output to the effective demand in defence ( QUOTE   times the wage/skills ratio in the defence industry QUOTE  . The wage/skill ratio is given by  QUOTE  , where  QUOTE   is the set of skills, and  QUOTE   a technology parameter, such that,  QUOTE  , and  QUOTE   as the real wage in the defense industry.  

The change in employment of talented labour would naturally be affected by the change in real wages, hence, the positive/negative correlation between the dependent variable  QUOTE   and the coefficient QUOTE  . The significance of the model would be measured by the increase/decrease of military R&TD outlays ( QUOTE   governed by the coefficient  QUOTE  . At prima facie, we suppose an increase in the military research and technological development (R&TD) budget would result in a rise in employment, hence, the positive correlation between the coefficient  QUOTE   and the dependent variable  QUOTE  . In line with what has been expressed above, we also expect that a negative coefficient QUOTE   would yield a relative increase in real wages of talented labour (assuming the scarcity of the latter). On the other hand, we expect a negative relationship between employment of talented labour and the coefficient  QUOTE   governing the wages of imported labour, thus, explaining the distortion effect. 

In order to make the model plausible for a long-term statistical estimation, we introduce a dynamic regression to study the effect of the above stated variables upon employment of talented labour. We address the significance of the model through a finite number of lagged coefficients using a dynamic distributed lag approach. The model is however restricted on the basis of the assumption QUOTE  , as it is unlikely to capture data on imported talented workers in the defence industry. The restricted model is then expanded trough the assumption  QUOTE  , that is, we divide the coefficient  QUOTE   governing the total research and development expenditure into two sub-coefficients namely,  QUOTE   and  QUOTE   for the total research and development (R&D) spending in the civil and the defence sector respectively. The expansion of the model comes to study closely the effect of not only the change in the R&D expenditure in defence but also the change in the R&D spending in the civil sector upon the employment of talented workers and whether an increase in the R&D civil spending would drive talented labour (i.e. STEM workers) out of the defence industry and into the civil sector. Using the first difference to study the marginal effect of a unit change in the explanatory variables upon the dependent variable, the estimation equation is therefore given by:  

 QUOTE     (VI) 

Where  QUOTE   is the logarithmic change in employment of STEM workers,
 QUOTE   is the logarithmic change in gross private investment, 
 QUOTE   is the logarithmic change in total real wages of STEM workers in the defence industry, 
 QUOTE   is the logarithmic change in R&D military expenditure in defence,
 QUOTE   is the logarithmic change in R&D military expenditure in the civil sector,
 QUOTE   is the logarithmic change in university undergraduate and postgraduate qualifications (obtained in STEM areas), and finally  QUOTE   is a constant term, and  QUOTE   is an error term.   

Methodology  

A major problem in estimating the equation above has been the lack of actual data for wages of STEM workers in the defence industry in the UK, and the low number of observations -which is due to the lack of consistent historical data-. In an attempt to outweigh the absence of data on wages of STEM workers in defence, the variable  QUOTE  , that is, total expenditure on civilian personnel -working in the ministry of defence (MoD) in the UK-, is used as proxy to real wages in the defence industry. The civilian personnel is divided into industrial and non-industrial. The independent variables  QUOTE  is regressed to ascertain the effect of defence public wages, upon the employment of STEM workers in the defence industry.  Data on education was taken from the higher education statistics agency (HESA)-by subject of study (STEM areas), reporting qualification obtained in UK universities by British students (male and female)-, and refers to period from 1994 to 2011. Data on gross private investment (at constant price 2009) and the level of employment of STEM workers in the defence industry, research and development expenditure in the civil and defence sector was taken from the office for national statistics (ONS). The data on the level of employment of STEM workers in the defence industry and research and development expenditure in the civil and defence sector refer to the period from 1991 to 2011. Data on gross private investment however, refers to the period from 1997 to 2011. Finally, data on the total expenditure on civilian personnel in the MoD was taken from the UK defence statistics compendium (defence analytical services agency, editions from 1997 to 2011). All the data was referred to from 1997 to 2011. 

Estimation without lags 

After testing the linear regression equation (VI) without use of lags, the estimation equation seems satisfactory as shown in Table 1. The F-test appeared to be significant at the conventional level of significance at five per cent (i.e. 0.05) which leads us to conclude that the model is not misspecified. Further, the variance inflation factor (VIF) seems not exceeding 10 as the  QUOTE  equals roughly eighty three per cent (83%), which is evidence of no exact relationship among the sample values of explanatory variables, hence, the inexistence of problematic mutlicollinearity. The time series model also shows no evidence of heteroskedasticity as displayed by the Breusch-Godfrey serial correlation Lagrange Multiplier (LM) test in Table 2, which is smaller than the chi-square critical value. Further, the Durbin-Watson (DW) statistic value is close to 2, which indicates that there is no evidence of serial correlation. 

                                QUOTE                                                          
Estimation 1: Coefficients (p-value))
Constant                 0.326    (0.005)          
 QUOTE                            0.076     (0.646)          
 QUOTE                        0.173     (0.422)
 QUOTE                         0.106     (0.383)
 QUOTE                        -1.662     (0.033)*        
 QUOTE                        -0.560    (0.058)*       
 QUOTE                              0.82                            
Adjusted- QUOTE             0.67	                            
DW                         1.98	                             
F-Stat                     5.533	                    
Prob (F-Stat)         0.020	                      Table 1. *Statistically significant at 0.05 level.
**Statistically significant at 0.10 level.
LM=Obs*R-squaredProb. Chi-Square (2)8.873 (0.05)0.180Table 2. *Statistically significant at .05 level.




Estimation using lags

Since the model for the employment of STEM workers in the defence industry contains distributed lags, and there is no priori information on the structure of lags, it is important to determine the �number of lags� of the explanatory variables, namely,  QUOTE  ,  QUOTE  ,  QUOTE  ,  QUOTE  , and QUOTE  , for R&D military expenditure in the civil sector, R&D military expenditure in defence, total salaries of the civilian personnel working in the MoD in the UK, gross private investment, and university undergraduate and postgraduate qualifications (obtained in STEM areas) respectively. A standard information criterion, often referred to as SC, suggested y Schwarz and recommended by Geweke and Meese is used to select the number of lags to be included in the equation for an analysis beyond the current first difference of the independent variables. The SC is based upon a statistic that includes a measure of precision of the estimate and a measure of the parsimony of the empirical model. When the statistical equation containing  QUOTE   parameters is fitted to data, SC is defined as  

 QUOTE   

Where  QUOTE   is the maximum likelihood estimate of the residual variance, and S is the sample size. Here, we choose the lag structure that minimizes the SC equation above. That is, the lag choice should be optimal respecting a balance between parameters and parsimony. The lag choice may also (in addition to the Schwarz criterion) be based upon the model that maximizes the  QUOTE  . As the model suffers from a severe lack of historical data (due primarily to the complex nature of the market of defence), the number of lags (besides the current) is set to a maximum of 1. The maximum lags of 1 is arbitrarily chosen, as a larger number, say 2, would have reduced significantly the degrees of freedom in the model -less than 10 observations- and significantly reduced the  QUOTE  . The lag structure as selected by the SC criterion is presented in Table 4 below.  

STEM workers in Defence ( QUOTE  )Estimation 1:  Coefficient (p-value)
Constant                0.263     (0.063)
 QUOTE  (-1)                   -0.069     (0.738)
 QUOTE  (-1)               -0.242    (0.380)
 QUOTE   (-1)               -0.058     (0.716)
 QUOTE    (-1)              -1.354     (0.135)**
 QUOTE    (-1)             -0.191     (0.556)
T                           -0.018     (0.024)
Adjusted- QUOTE            0.39
DW                        2.63Table 4. *Statistically significant at 0.05 level.
**Statistically significant at 0.10 level.
*** Statistically significant at 0.01 level.

Qualitative data analysis 
The qualitative findings reflect upon verbal and written responses to an email-questionnaire survey that was sent out in the UK to a sample of forty defence firms specialised in software, electronics, systems of integration, and engineering. The latter activities are presently considered as prominent and crucial to the defence output. The survey focused on two major questions of interest to the study. That is, the supply of STEM workers and the strategies implemented to tackle any shortage (supply-related) may be experienced by these companies. Out of the forty email-questionnaires, merely ten firms responded. Out of the ten responses, eight unequivocally stated the lack of highly skilled workers in the form of lead engineers, multi-task engineers, senior systems engineers, and systems architect/scientists to solve large/complex, novel emergent problems. As opposed to the latter firms, the other two expressed having no such issues in the supply of the STEM workers. For these firms (i.e. those who expressed their concern on the supply of STEM workers), the issue seems not to be about workers with technical skills, but rather about finding labour with the right mix of technical experience, domain of experience, and the �soft skills� that facilitate customer interaction for requirements elicitation, problem definition, and internal team leading and knowledge leadership. Further, they expressed, that, to find and to recruiting such workers with amalgam of skills is rather very difficult, as the process may take up to twelve months.  Whilst some of the eight firms have short-term strategies to tackle the shortage of highly skilled supply, others (relatively bigger firms) opted for a long-term commitment. The short-term strategies vary and could consist of maintaining a list of independent experts/contractors who can be called upon to fill specific knowledge gaps and advise internal teams, or simply fit the job around the best available candidate (to reduce costs). The long-term strategies however, were target driven aiming at �talent hunting� either at university or enterprise level. That is, some of the firms said they either tend to engage with known universities (i.e. by subject of study) as part of a long-term partnerships based technology commitment -aiming at the supply of the needed labour-, or target recruitment of known domain/technical experts (who are may be retiring), and end-user domain having worked with over the years.   

The sample in hand does not reflect upon the entire population, therefore, not depicting all the elements/issues governing/distorting the supply of STEM workers. Having said that, the findings however interestingly match those found by the UK commission for employment and skills. That is, the lack of appropriate skills in specific subsectors, or what it is referred to as �industrialism specialism�.   
Quantitative data analysis 

The results of the empirical analysis are presented in table 1 and table 4. Table 1 reports the results of the estimation equation without the use of lags. There exists a negative and statistically significant (at the 0.05 level) effect of both research and development (R&D) expenditure in the civil sector, and qualification obtained in STEM areas by British students, upon the employment of STEM workers in the defence industry. Total salaries of the civilian personnel working in the MoD in the UK (used as proxy to real wages in the defence industry), gross private investment, and R&D military expenditure in the defence sector are all insignificant and appear to have no short run impact on the employment of STEM workers in the defence industry. 

Table 4 reports the results using a distributed lag approach. Merely one variable, namely, the first lag of R&D expenditure in the civil sector as chosen by the Schwarz�s criterion, is statistically significant (only at the 0.10 level), whilst the other variables appear to have no short run effect upon the employment of STEM workers in the defence sector. 

Although the overall significance of the model changed when a lag approach was used, the results in in both Table 1 and 4 show an analogy in the form of the negative significance of R&D spending in the civil sector, which lends support to the thesis that there is a skill-gap in the defence industry most likely as a result of the outflow of STEM workers from the defence towards the civil industry (primarily due to the increasing government cuts in the defence sector). The latter reasoning is rather in accordance with Buck�s study (no crowding-out effect as a consequence of defence spending). Surprisingly, R&D expenditure in defence -which was predicted to have a strong positive relationship- appears to have no short-term impact on the level of employment of STEM workers in the defence industry. Further, the coefficient governing qualifications obtained in STEM areas by British students is negative and merely significant in the estimation without lags, which may explain the negative skill-supply. The problem of negative STEM skill supply was also highlighted in the quantitative analysis, which leads us to believe that there is possibly a skill-gap in the UK. Moreover, private investment, and wages seem to have no short-term effect upon the employment of STEM workers.      

While the empirical findings are indeed interesting, and while we are confident about the model specification, and the estimation techniques, the analysis is weakened by the lack of data, which is primarily a result of the complex nature of the defence market. Should we have had sufficient data to study the effect of the stated explanatory variables upon the employment of STEM workers for the last twenty or thirty years, the results produced would have showed the long-term effect.  Despite the significant lack of historical data, we are confident that (I) there exists no short-term relationship between R&D expenditure in defence and the employment of STEM workers, and (II) there exists a short-term negative relationship between of R&D spending in the civil sector and the employment of STEM workers.  

Conclusion 

The study focuses upon the effect of defence research and development expenditure on the employment of STEM workers in the defence industry.  A viable industry-specific model was induced and estimated using data on the British defence industry from 1997 to 2011. Total salaries of the civilian personnel working in the MoD, was used as a proxy to real wages of STEM workers in the defence industry. Further, the empirical findings were supported by the qualitative analysis, which was based upon an email-questionnaire survey. Some of the survey responses stated the gap in terms of STEM skills in the UK, which is in accordance with the negative relationship found between the supply of STEM graduates and the employment of STEM workers in the defence industry.      

The empirical results reported in this study are in accordance with earlier findings of Buck of a lack of evidence for a short-term effect between defence R&D spending and employment of STEM workers. Further, the results reported in this study also confirm findings of the Comptroller and Auditor General (session 2010�2012) in the UK of a skill-gap in critical areas such as engineering and science in the ministry of defence (MoD) explaining, thus, the negative relationship between the R&D spending in the civil sector and the employment of STEM workers. Indeed, we found in this study that the increase in R&D spending in the civil sector drives out the STEM workers from the defence towards to the civil industry. This may be triggered by the defence budget cuts (since the 2008 financial recession) and relatively high wages in the civil industry.   
 
It appears from the findings that technology would be developing faster in the civil sector as a result of (I) the number of STEM workers flowing out of defence and into the civil sector, and (II) the shift in society (free market conception) and the innovation of commercial firms, which considering the profitable civil opportunities heavily invested in physical and human assets having merely a value to their business. A major constraint in the defence industry is the lack of competition (effect of mergers and acquisitions) and the exclusive speculation of defence contracts by merely top contractors. Further, intermittent supply orders turn to be expensive and lead to upsetting costs. For the purpose of specific programs (in terms of supply and time), most defence suppliers would naturally expand their own resources (both human and capital) or even call for external subcontractors� capabilities (commercial side). This leads to an increase in the marginal productivity (both in quantity and quality) that is merely temporary which affects any flow of technology likely to stimulate spin-offs. 

Bibliography 

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Breusch, T.S. (1979), "Testing for Autocorrelation in Dynamic Linear Models", Australian Economic Papers, 17, 334�355.

Buck, D., K. Hartley and N. Hooper (1993), Defence Research and Development, Crowding Out and the Peace Dividend, Defence and Peace Economics, vol. 4, Issue 2, April, pp. 161-178.

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Dunne, P. and Smith, R. (1990). Military Expenditure and Unemployment in the OECD. Defence Economics, 1(1),57�73.
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Geweke. John and Rihard Meese (1981), �Estimating Regression Models of Finite but Unkwown Order.� International Economic Review 22:55-70.

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Sami Chraa (2012), Network Centric Warfare and Defence Industrial Implications, Journal of Defence Studies and Resource Management, 1:2.

Sami Chraa (2013), Wage Bargaining and Behaviour of Talented labour in the Defence Market, Journal of Defence Studies and Resource Management, 2:1.

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Corresponding author: Sami Chraa, Department of Accounting, Economics, and Finance, University of the West of England, Frenchay Campus, Coldharbour Lane, Bristol, Avon BS16 1QY, UK, Tel: +447713014030; E-mail: sami2.chraa@live.uwe.ac.uk
 Examples of recent work: 
 HYPERLINK "http://www.rand.org/pubs/authors/c/castillo_jasen_j.html" Jasen J. Castillo,  HYPERLINK "http://www.rand.org/pubs/authors/l/lowell_julia_f.html" Julia F. Lowell,  HYPERLINK "http://www.rand.org/pubs/authors/t/tellis_ashley_j.html" Ashley J. Tellis,  HYPERLINK "http://www.rand.org/pubs/authors/m/munoz_jorge_a.html" Jorge A. Munoz,  HYPERLINK "http://www.rand.org/pubs/authors/z/zycher_benjamin.html" Benjamin Zycher (2012), Military Expenditures and Economic Growth;
M. Topcu, I. Aras (2013), Defence Spending and Economic Growth: Extended Empirical Analysis for the European Union, Defence and Peace Economics; 
Kollias, C. and Paleologou, S. (2010) Growth, investment and military expenditure in the European Union-15. Journal of Economic Studies 37(2) 228�240;
Habibullah, M.S.�and�Law, Siong-Hook�and�Dayang-Afizzah, A.M.�(2008):�Defense spending and economic growth in Asian economies: A panel error-correction approach.
 Examples of such work:
P. Dunne, D. Watson (2007),  Military Expenditure and Employment in South Africa, Defence and Peace Economics. 
J. Yildirim, S. Sezgin (2003), Military Expenditure and Employment in Turkey, Defence and Peace Economics, 14:2, 129-139.
Martin M. Wing (1991), Defence Spending and Employment in Indonesia, Defence and Peace Economics, 3:1, 83-92. 
 See for instance:
Smith, Ron (1980), �ME and Investment in OECD Countries, 1954-1973�, Journal of Comparative Economics, 4, pp.19-32;
Kollias, Christos (1997), �Defence Spending and Growth in Turkey 1954-1993: A Causal Analysis�, Defence and Peace Economics, 8, pp.189-204; 
Chletsos, Michael & Kollias, Christos (1995), �Defence Spending and Growth in Greece 1974-90: Some Preliminary Econometric Results�, Applied Economics, 27, pp.883-890;
 Deger, Saadet (1986), �Economic Development and Defence Expenditure�, Economic 
Development and Cultural Change, pp.179-196.
 See for instance:
Sezgin, Selami (1996), �Country Survey X: Defence Spending in Turkey�, Defence and Peace Economics, 8, pp.381-409;
Murdoch, J.; Pi, C-R.; Sandler, T. (1997),  The Impact of Defence and Non-Defence Public Spending on Growth in Asia and Latin America , Defence and Peace Economics, Vol.8, pp.205-224;
Huang, C. and Mintz, A., (1991),  Defence Expenditures and Economic Growth: The Externality Effect, Defence Economics 3: 35-40. 
 For further discussion, see Sami Chraa (2013), Wage Bargaining and Behaviour of Talented Labour in the Defence Market, Journal of Defence Studies and Resource Management, 2:1. 
 See for instance: Smith, R. P. (1978). Military expenditure and capitalism: A reply. Cambridge Journal of Economics, 2(3), 299�304.
 Dunne, P. and Smith, R. (1990). Military Expenditure and Unemployment in the OECD. Defence Economics, 1(1),57�73.
 J. Yildirim, and S. Sezgin (2003), Military Expenditure and Employment in Turkey, Defence and Peace Economics, 14:2, 129-139.
 Abell, J. D. (1990). Defence spending and Unemployment rates: An empirical analysis disaggregated by race. Cambridge Journal of Economics, 14(4), 405�419.
 Ibid.
 Keith Hartley (2008) The Industrial And Economic Benefits of Eurofighter Typhoon, Centre for Defence Economics, York University.
 J. Paul Dunne (2011), Military Spending, Growth, Development and Conflict, Univeristy of The West of England. 
 The sample responses do not reflect upon the whole defence industry but rather give an idea about the underlying issues faced by these companies engaged in prominent activities (such as system integration, electronics, software and engineering) that are nowadays seen as the tour de force of the defence output.  
 United Kingdom commission for employment and skills (2011), �The supply of and demand for high-level STEM skills, briefing paper. 
 Ibid.
 Ibid.
 See  HYPERLINK "https://www.gov.uk/defence-engineering-and-science-group" https://www.gov.uk/defence-engineering-and-science-group. 
 Ministry of Defence Policy Paper (2002), Paper No. 5, Defence Industrial Policy.  HYPERLINK "http://www.dti.gov.uk/files/file10008.pdf" http://www.dti.gov.uk/files/file10008.pdf 
 Ibid.
 Defence Matters, Who�s providing hundreds of thousands of jobs and helping young people up and down the UK learn a trade?  HYPERLINK "http://www.defencematters.co.uk/message-three/" http://www.defencematters.co.uk/message-three/ 
 Sipri Year Book (2010), Armaments, Disarmament and International Security.  HYPERLINK "http://www.sipri.org/yearbook/2012/05" http://www.sipri.org/yearbook/2012/05. 
 Ministry of Defence Policy Paper (2002), Paper No. 5, Defence Industrial Policy.  HYPERLINK "http://www.dti.gov.uk/files/file10008.pdf" http://www.dti.gov.uk/files/file10008.pdf .
 Ministry of Defence (2012), Managing Change in the Defence Workforce, Report by the Comptroller and Auditor General, HC 1791 Session 2010�2012.
 Ibid.
 Ibid.
 For further discussion, see Sami Chraa (2013), Wage Bargaining and Behaviour of Talented Labour in the Defence Market, Journal of Defence Studies and Resource Management, 2:1.
 Defence Analytical Services and Advice, UK Defence Statistics (2012), Glossary,  HYPERLINK "http://www.dasa.mod.uk/modintranet/UKDS/UKDS2012/glossary.php" \l "d" http://www.dasa.mod.uk/modintranet/UKDS/UKDS2012/glossary.php#d
 Ibid.
 Until October 2011 the MOD had four Trading Funds - the Defence Support Group, Dstl, the UK Hydrographic Office and the Met Office. As of 1 October 2011, the Met Office transferred their responsibility from MOD to the Department for Business, Information and Skills (BIS).  
 Level 1 are those permanent and casual civilian personnel and Royal Fleet Auxiliary, but excludes trading funds and locally engaged civilians.
�Quarterly Civilian Personnel Report (QCPR) (2012), Defence Analytical Services and Advice,  HYPERLINK "http://www.dasa.mod.uk/modintranet/UKDS/UKDS2012/c2/table201.php" http://www.dasa.mod.uk/modintranet/UKDS/UKDS2012/c2/table201.php
 Ministry of Defence (2012), Managing Change in the Defence Workforce, Report by the Comptroller and Auditor General, HC 1791 Session 2010�2012.
 Ibid. 
 Alison Wolf (2010), More than We Bargained For, the social and economic costs of national wage bargaining, Centre Forum. 
 William B. Rouse (2010), The Economics of Human Systems Integration:�Valuation of Investments in Peoples Training and Education, Safety and Health, and Work Productivity.    
 Buck, D., K. Hartley and N. Hooper (1993), Defence Research and Development, Crowding Out and the Peace Dividend, Defence and Peace Economics, vol. 4, Issue 2, April, pp. 161-178.
 Eduardo Morales-Ramos (2002), Defence and R&D Expenditure: The crowding-out hypothesis. 
 United Kingdom commission for employment and skills (2011), �The supply of and demand for high-level STEM skills�, briefing paper.
 Ibid.
 Ibid.
 Ibid.
 Wilson, R. (2009) The Demand for STEM Graduates: Some benchmark projections, London: Council for Industry and Higher Education.
 Department for Innovation, Universities and Skills (2009), The Demand for Science, Technology, Engineering and Mathematics (STEM) Skills.     
 CBI Education and Skills Survey (2008).  HYPERLINK "http://www.investorsinpeople.co.uk/Documents%20Hidden/Research/CBI%20education%20and%20skills%20survey.pdf" http://www.investorsinpeople.co.uk/Documents%20Hidden/Research/CBI%20education%20and%20skills%20survey.pdf 
 Royal Society (2008), A Higher Degree of Concern. 
 Ibid. 
 Here we assume that technology (exogenously given) is bias-free, in the sense that it has no �pre-effect� upon the marginal productivity of labour and capital. Therefore, the marginal rate of substitution is irrespective of technology and merely function of the price of labour and capital.
 D. Acemoglu (2002), Technical Change, Inequality, and the Labour Market, Journal of Economic Literature, pp. 7-72.
 Ibid.
 Francesco Caselli (1999), �Technological Revolutions�, American Economic Review, Vol 81, No 1
 Sami Chraa (2013), Wage Bargaining and Behaviour of Talented labour in the Defence Market, Journal of Defence Studies and Resource Management, 2:1.
 Ibid.
 The author contacted the MoD for information about wages of STEM workers in the defence industry but no such information was held. 
 The MoD defence statistics team divides civilian personnel into level 0 and level 1 (which is divided subsequently to industrial and non-industrial). Civilian level 0 are those at Level 1 plus trading funds* and locally engaged civilians**. Level 1 are those permanent and casual civilian personnel and Royal Fleet Auxiliary, but excludes trading funds and locally engaged civilians. 
* Until October 2011 the MOD had four Trading Funds - the Defence Support Group, Dstl, the UK Hydrographic Office and the Met Office. As of 1 October 2011, the Met Office transferred their responsibility from MOD to the Department for Business, Information and Skills (BIS).  
** An employee who has been recruited locally as a �servant of the Crown�.
 Industrial personnel are defined as civilian personnel employed primarily in a trade, craft or other manual labour occupation -this covers a wide range of work such as industrial technicians, air freight handlers, storekeepers, vergers and drivers-, as opposed to non-industrial defined as civilian personnel who analysis, policy, procurement, finance, medical, dental, teaching, policing, science and engineering-.are not primarily employed in a trade, craft or other manual labour occupation-this covers a wide range of personnel undertaking work such as administration, 
 The data on the level of employment of STEM workers in the defence industry in the UK, was supplied by the research and development team in the office for national statistics (ONS) after a request from the author.   
 Gross private investment data was published in September 2013. Data on research and development in the civil and defence sector was extracted from the statistical bulletin (March, 2013).
 D. Asteriou and Stephen G. Hall (2007), �Applied Econometrics, A Modern Approach Using Eviews and Microfit�, second edition, Palgrave Macmillan.
 Breusch, T.S. (1979), "Testing for Autocorrelation in Dynamic Linear Models", Australian Economic Papers, 17, 334�355.
 Godfrey, L.G. (1978) "Testing Against General Autoregressive and Moving Average Error Models when the Regressors Include Lagged Dependent Variables", Econometrica, 46, 1293�1302. 
 The test is based upon the null hypothesis of homoscedasticity,  QUOTE  , where  QUOTE   denotes the coefficients of the explanatory variables �which are tested against the residual squared-, while the alternative is that at least one of the  QUOTE   is different from zero.
 The LM test follows a Chi-square distribution with 5 degrees of freedom (the constant is excluded). 
 Schwarz, Gideon E. (1978). "Estimating the dimension of a model". Annals of Statistics 6 (2): 461�464.

 Geweke. John and Rihard Meese (1981), �Estimating Regression Models of Finite but Unkwown Order.� International Economic Review 22:55-70. 
 Schwarz, Gideon E. (1978). "Estimating the dimension of a model". Annals of Statistics 6 (2): 461�464.
 The information supplied is treated as commercial-in-confidence, thus, no information -about individual companies taking part in the survey- will be disclosed. 
 Sami Chraa (2012), Network Centric Warfare and Defence Industrial Implications, Journal of Defence Studies and Resource Management, 1:2.
 United Kingdom commission for employment and skills (2011), �The supply of and demand for high-level STEM skills�, briefing paper.
 Ibid.
 Ministry of Defence (2012), Managing Change in the Defence Workforce, Report by the Comptroller and Auditor General, HC 1791 Session 2010�2012.
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O"h�&NmH	sH	 h
O"h�&NCJOJPJQJaJh�Vh�&NCJaJmH	sH	h�wEh�&NmH	sH	h�wEh�&NCJaJmH	sH	h�&Njh�&N0JUhl�h�&NmH	sH	h�&NCJaJmH	sH	%jh�hSh�&NCJUaJmH	sH	j��h�hSh�&NEH��U-$.$/$0$�$�$�$�$=%>%?%@%E%F%G%H%�%�%�%�%������<=>?��������·�笷�睒��…��yq�f��[h�(*h�&NCJaJh�-~h�&NmH	sH	h�&NmH	sH	h�&NCJaJmH	sH	hv�h�&NmH	sH	Uh�oCh�&NmH	sH	h�5h�&NCJaJmH	sH	h�-�h�&NCJaJh�-�h�&NmH	sH	h�5h�&NCJaJh�Sh�&NmH	sH	h�h�&NCJaJmH	sH	h�&Njh�&N0JUh�u,h�&NmH	sH	Buck, D., K. Hartley and N. Hooper (1993), Defence Research and Development, Crowding Out and the Peace Dividend, Defence and Peace Economics, vol. 4, Issue 2, April, pp. 161-178.
 See also J. Yildirim, and S. Sezgin (2003), Military Expenditure and Employment in Turkey, Defence and Peace Economics, 14:2, 129-139.
 United Kingdom commission for employment and skills (2011), �The supply of and demand for high-level STEM skills, briefing paper.
 Buck, D., K. Hartley and N. Hooper (1993), Defence Research and Development, Crowding Out and the Peace Dividend, Defence and Peace Economics, vol. 4, Issue 2, April, pp. 161-178.
 Ministry of Defence (2012), Managing Change in the Defence Workforce, Report by the Comptroller and Auditor General, HC 1791 Session 2010�2012.











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