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Predicting the competitive relationships of industrial production between Taiwan and China using Lotka–Volterra model

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  • Bi-Huei Tsai
Abstract
This work is the first to apply Lotka–Volterra model combined with genetic algorithm (GA) to predict the production relationships of high-tech industry among different areas. Previous studies analysed the trade interdependency among various countries, but few studies have highlighted the quantitative evidence of production relationships. Thus, this study utilizes motherboard shipment volumes to predict the competitive relationships of industrial production on both sides of the Taiwan Strait. Specifically, this work uses simultaneous non-linear least square regression in combination with GAs for numerical parameter optimization of the proposed Lotka–Volterra model. The results of parameter estimation reveal that shipment growth in China substantially promotes that in Taiwan, whereas the shipment growth in Taiwan curtails that in China. The standard deviation of the estimated parameters from the 3000 iterated simulations is small, confirming the reliability and stability of our parameter estimations. According to equilibrium analysis, the results of Lyapunov function prove that the shipments of China and Taiwan will reach a stable long-term equilibrium. The potential production from China will ultimately be nearly 16 times as large as that from Taiwan. Finally, the analytical results of forecast accuracy confirm that Lotka–Volterra model performs better than conventional S-curve diffusion model in predicting motherboard shipments.

Suggested Citation

  • Bi-Huei Tsai, 2017. "Predicting the competitive relationships of industrial production between Taiwan and China using Lotka–Volterra model," Applied Economics, Taylor & Francis Journals, vol. 49(25), pages 2428-2442, May.
  • Handle: RePEc:taf:applec:v:49:y:2017:i:25:p:2428-2442
    DOI: 10.1080/00036846.2016.1240347
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    References listed on IDEAS

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    1. Xing, Yuqing, 2012. "Processing trade, exchange rates and China's bilateral trade balances," Journal of Asian Economics, Elsevier, vol. 23(5), pages 540-547.
    2. Tsai, Bi-Huei, 2013. "Predicting the diffusion of LCD TVs by incorporating price in the extended Gompertz model," Technological Forecasting and Social Change, Elsevier, vol. 80(1), pages 106-131.
    3. Wang, Zhi, 2003. "WTO accession, the "Greater China" free-trade area, and economic integration across the Taiwan Strait," China Economic Review, Elsevier, vol. 14(3), pages 316-349.
    4. Chien, Chen-Fu & Chen, Yun-Ju & Peng, Jin-Tang, 2010. "Manufacturing intelligence for semiconductor demand forecast based on technology diffusion and product life cycle," International Journal of Production Economics, Elsevier, vol. 128(2), pages 496-509, December.
    5. Tsai, Bi-Huei & Chang, Chih-Jen & Chang, Chun-Hsien, 2016. "Elucidating the consumption and CO2 emissions of fossil fuels and low-carbon energy in the United States using Lotka–Volterra models," Energy, Elsevier, vol. 100(C), pages 416-424.
    6. Raymond Vernon, 1966. "International Investment and International Trade in the Product Cycle," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 80(2), pages 190-207.
    7. Christos Papadas & W. George Hutchinson, 2002. "Neural network forecasts of input-output technology," Applied Economics, Taylor & Francis Journals, vol. 34(13), pages 1607-1615.
    8. Yongjing Zhang, 2012. "A Lotka--Volterra evolutionary model of China's incremental institutional reform," Applied Economics Letters, Taylor & Francis Journals, vol. 19(4), pages 367-371, March.
    9. Pascal Seppecher & Isabelle Salle, 2015. "Deleveraging crises and deep recessions: a behavioural approach," Applied Economics, Taylor & Francis Journals, vol. 47(34-35), pages 3771-3790, July.
    10. Yeh, Kuo-chun & Ho, Tai-kuang, 2012. "Magnitude and volatility of Taiwan's net foreign assets against Mainland China: 1981–2009," China Economic Review, Elsevier, vol. 23(3), pages 720-728.
    11. Chia-Hung Sun & Yi-Bin Chiu, 2010. "Taiwan's trade imbalance and exchange rate revisited," Applied Economics, Taylor & Francis Journals, vol. 42(7), pages 917-922.
    12. Frank M. Bass, 1969. "A New Product Growth for Model Consumer Durables," Management Science, INFORMS, vol. 15(5), pages 215-227, January.
    13. Bi-Huei Tsai & Yiming Li, 2011. "Modelling competition in global LCD TV industry," Applied Economics, Taylor & Francis Journals, vol. 43(22), pages 2969-2981.
    14. Tsangyao Chang & Wenshwo Fang & Li-Fang Wen & Chwenchi Liu, 2001. "Defence spending, economic growth and temporal causality: evidence from Taiwan and mainland China, 1952-1995," Applied Economics, Taylor & Francis Journals, vol. 33(10), pages 1289-1299.
    15. Jane Binner & Rakesh Bissoondeeal & Thomas Elger & Alicia Gazely & Andrew Mullineux, 2005. "A comparison of linear forecasting models and neural networks: an application to Euro inflation and Euro Divisia," Applied Economics, Taylor & Francis Journals, vol. 37(6), pages 665-680.
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    Cited by:

    1. Marco Desogus & Beatrice Venturi, 2023. "Stability and Bifurcations in Banks and Small Enterprises—A Three-Dimensional Continuous-Time Dynamical System," JRFM, MDPI, vol. 16(3), pages 1-20, March.
    2. Dingxuan Huang & Claudio O. Delang & Yongjiao Wu & Shuliang Li, 2021. "An Improved Lotka–Volterra Model Using Quantum Game Theory," Mathematics, MDPI, vol. 9(18), pages 1-17, September.

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