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characterizing it as a set of empirical meth-  strategy to display a PF with two inputs
               ods disaggregated at the level of the in-  (Equation 6) and a characteristic PF CES
               dividual, families and firms, which may   (Equation 7).
               include regional and/or local data. Smith                                    (6)                                          (6)
               (2010) cites that causal inference, through           Y=F (K,L)
               micro econometrics, can inform both
               the configuration of spatial policies and   Where:
               the evaluation of these policies. In other   Y =  product;
               words, it allows estimating and under-      K=   capital;
               standing the efficiency and impact of pub-  L=   work.                       (7)
               lic policies prior to their implementation,
               providing the opportunity for improve-                                                                                     (7)
                                                                                   ρ
                                                                            ρ
               ments and changes at lower economic,           Y( K,L) =( αK + bL )   1/ρ
               environmental and social costs.             Where:
                 Although it is used less frequently, it   Y =  product;                                                         3. From method to practice: studies of the economy related to the sea
               is worth mentioning micro econometric       K=   capital;
               methods for the area of   the economy re-   L=   work.                                                               Analyzing the international literature    direct economic contributions in the re-
               lated to the sea, for example, in sectorial   a e b = input distribution coefficients;                            of Economic Science related to the theme     sults of surveys carried out by national
               models.  In  this  sense,  Smith  (2010)  pro-  p =  parameter.                                                   “sea”, “coastal” and “blue”, it is possible   statistical institutes and/or ad hoc spe-
               posed in his studies spatial analszes quan-                                                                       to register several studies that are dedicated   cialized surveys; economic modeling
               tifying aspects related to fishing effort and   CES can  take the  form of  other PFs,                            to quantifying the economy and the respec-   of direct, indirect and induced impacts
               travel distance to capture; and socioeco-  for example, Cobb-Douglas or Leontief  ,                               tive impacts that invariably spread in differ-  through input-output models; and de-
                                                                                            1
               nomic impacts on fishermen in the struc-  depending on the values   assumed by the                                ent socioeconomic and environmental seg-     velopment of satellite accounts for the

               turing of public policies on the constitution   parameter r, greater sensitivity in the capi-                     ments. However, in Brazil, despite having    ocean economy in accordance with the
               of fishing exclusion zones, marine reserves   tal-labor ratio, constant returns to scale , for                    one of the largest coastal extensions in the   national system of accounts. Interna-
                                                                                          2
               and areas for certain fisheries.         example. This, in itself, makes it differentiat-                         world, there is a more recent recognition of   tionally, consistent and comparable data
                                                        ed and complex. By establishing all the vari-                            the importance of this  theme. It  is worth   are available for few oceanic economic
               2.4 Constant elasticity of substitu-     ables that contribute to the total economy                               highlighting the effort of Carvalho (2018);   activities (JOLLIFE et al., 2021, p. 6).
               tion (CES) production function                                                                                    Carvalho and Moraes (2021) and volume 4
                                                        of a country, one can derive from equation                                                                           For the analysis of the economy directly
                 According to Pindyck and Rubinfeld     (7) the total PIB (GDP) of the country/region                            of this Work, measuring the economy and   and indirectly related to the sea, regardless
               (2012), a production function (PF) indicates   or of a sector of the economy.                                     sectors related to the sea.              of the method used, Kildow and Mcllgorm
               the maximum output for each specific        Thus, the aforementioned methods                                         Jollife et al. (2021) point out that there   (2010) point out that the most common-
               combination of inputs, highlighting that   can be used to assess the economic and                                 are still great difficulties in current measure-  ly used sectoral indicators are: Gross Do-
               output and inputs are flows and that PF al-  social contribution, and/or estimation of                            ments of oceanic economic activity, due to   mestic Product (GDP), Gross Added Value
               lows inputs to be combined in varying pro-  inherent impacts. However, there are sev-                             the  challenge  of  isolating  ocean-related   (GAV) and occupations. In Table 1, some
               portions, consequently there are a myriad   eral other models, although with less ca-                             economic activities in the aggregate statis-  studies related to economic activities at
               of possibilities for obtaining the product.  pacity to express, for example, the flows                            tics of nations. About this:             sea are compiled. In it, pioneer authors on
                 The PF assume different types, among   and multisectoral engagements, which                                         [...] the methods adopted in national   the subject can be noted, as well as trends
               them, the well-known constant elasticity of   are  used  for  the  purposes  considered  in                           studies of oceanic economic activity tend   in the adaptation of some methodologies
               substitution (CES). Using the simplification   the objective of the work.                                             to fall into three groups: identification of   pointed out in section 2.



     62   ECONOMIA AZUL                                                                                                                                                              Economy and the Sea: Methods and Indicators 63
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