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Green innovation efficiency measurement and its influencing factors in specialized and new enterprises
            and market position, to ensure that the sam-      The method used to calculate the R&D capital
            ple fully reflects the diversity of the group as a  stock of an enterprise was the perpetual inven-
            whole. For example, in terms of innovation abil-  tory method. 43  The specific formula is shown in
            ity, Wolwo Bio-Pharmaceutical (300357.SZ), and    Equation (5).
            Canaan Technology (300412.SZ) possess signifi-
            cant R&D strength and innovation ability in their
                                                                     RD it = K      + (1 − δ) RD          (5)
            respective fields; for R&D investment, Hangzhou                    i(t−1)            i(t−1)
            Changchuan Technology (300604.SZ), and Inven-
                                                              where RD it is the R&D capital stock of an enter-
            tronics (300582.SZ) have continued to increase
                                                              prise i in year t, RD i(t−1)  is the R&D capital stock
            R&D investment and promote technological in-
                                                              in year t−1, K i(t−1)  is the R&D investment input
            novation and product upgrading; and in terms of
                                                              after discounting in the early year t − 1 (the dis-
            market position Jinggong Integration Technology
                                                              count rate used here was 8%), and δ is the depreci-
            (002006.SZ) and Dali Technology (002214.SZ) ex-   ation rate of the R&D capital stock. We assumed
            hibit high visibility and competitiveness in both  that the R&D capital stock at the beginning of
            domestic and international markets.
                                                              the period could be expressed with Equation (6),
                Collectively, these 40 enterprises are broadly
                                                              and the rise in the ratio of the R&D investment
            representative in terms of industry, scale, and
                                                              inputs K and the R&D capital stock were equal.
            other major features, and truly reflect the overall
            strength and diversity of SNEs in Zhejiang.
                                                                             RD i0 = K i0 /δ + g          (6)
                According to the scope and availability of
            data, this paper selected information from 40     where g is the average growth rate of K. The data
            SNEs in Zhejiang from 2017 to 2021. Most of       used in this paper range from 2017 to 2021, and
            the data were obtained from the “China Urban      a 15% depreciation rate was applied to R&D ex-
            Statistical Yearbook,” the Wind Database, and     penditures, which is the value according to most
            the Science and Technology Department websites    previous studies.
            of each city. The collected data were then prepro-
            cessed by removing outliers and filling in missing    Output indexes, according to Wang et al., 43
            values, which improved the quality and usability  the revenue from new product sales was gener-
            of the data. Among these, the linear interpolation  ally chosen as the economic output indicator.
            approach was used to adjust for certain incom-
                                                              However, since enterprises did not disclose this
            plete data. Linear interpolation is a simple and
                                                              indicator, the main business income of listed
            easy-to-implement method. Due to its simplic-
                                                              companies was used as the alternative indica-
            ity, the computational cost of linear interpolation                                       44
                                                              tor, referring to the practice of Qu et al.  The
            is relatively low, which is suitable for real-time
                                                              green innovation output indicators in the existing
            applications or data processing scenarios that re-  literature generally used the number of patent
            quire frequent updates. 41
                                                              applications or authorizations directly, and rarely
                                                              applied green patents to measure green innova-
            3.3.2. Selection of green innovation efficiency
                                                              tion output directly. The current study obtained
                   index of SNEs
                                                              and screened patents according to the “Green
            The “input index” and “output index” categories   List of International Patent Classification” issued
            were chosen as the first-level indexes for evalua-  by the International Intellectual Property Office.
            tion when selecting the input–output index sys-   Due to the delay in granting patents, it often
            tem to assess the GIE in Zhejiang SNEs. Simul-    took 1–2 years from the application to the grant-
            taneously, considering the availability of data and  ing of a patent. Therefore, the number of green
            the scientific basis of the indexes, we evaluated the  patents awarded can better represent the level
            environmental and innovation variables based on   of green innovation compared to the number of
            the research findings of previous studies. 42,43  green patent applications. The authorized green
                Among input indices, such as labor and capi-  patents were accurately screened in the following
            tal inputs, the total number of employees and the  three steps: firstly, the international patent clas-
            R&D personnel of enterprises were chosen as indi-  sification numbers of seven major green technol-
            cators of labor input, according to the custom of  ogy fields, such as alternative energy production,
            Yan and Zhang.  39  The capital input was selected  energy efficiency improvement, and waste man-
            as a measure of R&D capital stock and net fixed   agement, were extracted from the list of the In-
            assets of enterprises, and the annual changing rate  ternational Intellectual Property Office, and the
            of R&D investment input of enterprises was added  scope of the target patents was locked through
            as a significant reference for the capital input. 42  the combination of classification number search.
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