Economic complexity measures have been constructed on the basis of bipartite country-product network data, but without paying attention to the technological dimension or manufacturing capabilities. In this study, we submit a Ternary Complexity Index (TCI), which explicitly incorporates technological knowledge as a third dimension, measured in terms of patents. Different from a complexity indicator based on the Triple Helix model (THCI) or a measure based on patents and countries (PatCI), TCI — products, countries, and patents — can be modeled in terms of Lotka–Volterra equations and thus the further evolution of an innovation eco-system can be specified. We test the model using empirical data. The results of a regression analysis show that TCI improves on Hidalgo and Hausmann’s [The building blocks of economic complexity, Proc. Natl. Acad. Sci. 106 (26) (2009) 10570–10575] and Tacchella et al.’s [A new metrics for countries fitness and products complexity, Sci. Rep. 2 (2012)] complexity measures with respect to both the ranking of countries in terms of their complexity and in terms of the correlation with GDP per capita.

中文翻译：

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构建经济复杂性措施的生态系统方法：使用 LOTKA-VOLTERRA 方程的技术维度内生化

经济复杂性度量是在双边国家-产品网络数据的基础上构建的，但没有关注技术维度或制造能力。在这项研究中，我们提交了一个三元复杂性指数（TCI），它明确地将技术知识作为第三个维度，以专利为衡量标准。与基于三螺旋模型 (THCI) 的复杂性指标或基于专利和国家 (PatCI) 的度量不同，TCI（产品、国家和专利）可以根据 Lotka-Volterra 方程进行建模，从而进一步发展可以指定一个创新生态系统。我们使用经验数据测试模型。回归分析的结果表明，TCI 改进了 Hidalgo 和 Hausmann 的 [经济复杂性的基石，Proc。国家石油公司。学院派。科学。106 (26) (2009) 10570–10575] 和 Tacchella 等人的 [A new metrics for countries and products complex, Sci. Rep. 2 (2012)] 复杂性衡量国家在复杂性和与人均 GDP 相关性方面的排名。