Research Article
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Önemli Verilerin Eksikliğinde Kararlılık Analizinin Sürdürülebilir Balıkçılıktaki Önemi

Year 2023, Volume: 19 Issue: 1, 71 - 87, 01.03.2023
https://doi.org/10.22392/actaquatr.1179986

Abstract

Aşırı avcılığın önlenmesi ve sürdürülebilir balıkçılık politikalarının elde edilmesi için balık stoklarının yönetimi çok önemlidir ve balık stoklarını analiz etmek için XSA, VPA, BMS, CMSY ve MSVPA gibi birçok stok yönetim metotları vardır. Fakat bu stok yönetim metotlarını kullanmak için balık stoklarının beslenme verisi, doğal ölüm oranı, avlanan balık miktarı, balık stoku miktarı indeksi, avcı balık oranı gibi önemli dataların olması gerekir. Ne yazık ki, birçok balık stoku için bu tarz verilere sahip değiliz ve bu verileri elde etmek ekonomik olarak çok maliyetli ve zaman alıcı. Fakat bu veriler elimizde olmasa da matematiksel modeller ve kararlılık analizi yardımıyla balık stoku miktarı, maksimum sürdürülebilir avlanma miktarı, av-avcı ilişkisinin balık miktarına etkisi, avcılığın türler arası av-avcı ilişkisi üzerine etkisi gibi balık stokları ile alakalı birçok önemli bilgiye ulaşabiliriz. Bu önemli model çıktılarını elde edebilmemiz için, sadece avlanan balık miktarı verisi ve oluşturulan matematiksel modelin kararlılık analizine bağlı parametre tahmini yapmak yeterlidir. Kısacası bu çalışma, balık popülasyonları ile alakalı önemli veriler elimizde olmadığında, kararlılık analizinin balık popülasyonları ile alakalı önemli bilgileri elde etmedeki öneminden bahsetmektedir.

References

  • Agmour, I., Achtaich, N., & Foutayeni, Y. E. (2018). Stability Analysis of a Competing Fish Populations Model with the Presence of a Predator, International Journal of Nonlinear Science, 26(2), 108-121.
  • Bardey, D. J. (2019). Overfishing: Pressure on our Oceans. Research in Agriculture, Livestock and Fisheries, 6(3), 397-404.
  • Bentounsi, M., Agmour, I., Achtaich, N., & El Foutayeni, Y. (2017). Stability Analysis of a Biological Model of a Marine Resources Allowing Density Dependent Migration. International Frontier Science Letters, 12, 22-34.
  • Bergland, H., Pedersen, P. A., & Wyller, J. (2018). Stable and unstable equilibrium states in a fishery–aquaculture model. Natural Resource Modeling, 32(2), e12200.
  • Daskalov, G. M., Demirel, N., Ulman, A., Georgieva, Y., & Zengin, M. (2020). Stock dynamics and predator–prey effects of Atlantic bonito and bluefish as top predators in the Black Sea. ICES Journal of Marine Science, 77(7-8), 2995–3005, https://doi.org/10.1093/icesjms/fsaa182
  • Demir, M. & Lenhart, S. (2019). Optimal sustainable fishery management of the Black Sea anchovy with food chain modeling framework. Natural Resource Modeling, 33(2), 1–29.
  • Demir, M. & Lenhart, S. (2021). A Spatial Food Chain Model for the Black Sea Anchovy and its Optimal Fishery. Discrete and Continuous Dynamical Systems Series B, 26(1), 155-171.
  • Demirel, N., Zengin, M., & Ulman, A. (2020). First Large-Scale Eastern Mediterranean and Black Sea Stock Assessment Reveals a Dramatic Decline. Frontiers in Marine Science, 7(103). https://doi.org/10.3389/fmars.2020.00103
  • Didiharyono, D., Toaha, S., Kusuma, J., & Kasbawati. (2021). Stability analysis of two predators and one prey population model with harvesting in fisheries management. Earth and Environmental Science, 921, 012005. https://doi.org/10.1088/1755-1315/921/1/012005
  • Foley, C. M. (2013). A Difference in Perspective: A Comparison of Ecosystem and Single-Species Focused Fisheries Management. Open Access Master's Theses. Paper 45. https://doi.org/10.23860/thesis-foley-catherine-2013
  • Harun, M., George, L., Colleta, A., & Wasike, A. (2019). Stability and Bifurcation Analysis of a Fishery Model with Allee Effects. Mathematical Modelling and Applications, 4(1), 1-9. https://doi.org/10.11648/j.mma.20190401.11
  • Hilborn, R. (2012). Overfishing: What everyone needs to know. Oxford University Press.
  • Lauck, T., Clark, C. W., Mangel, M., & Munro, G. R. (1998). Implementing the precautionary principle in fisheries management through marine reserves. Ecological Applications, 8, 72–78.
  • Kelly, M. R., Xing, Y., & Lenhart, S. (2016). Optimal fish harvesting for a population modeled by a nonlinear parabolic partial differential equation. Natural Resource Modeling, 29(1), 36-70.
  • Kelly, M. R., Neubert, M., & Lenhart, S. (2019). Marine reserves and optimal dynamic harvesting when fishing damages habitat. Theoretical Ecology, 12(2), 131–144.
  • Kot, M. (2001). Elements of mathematical ecology. Cambridge University Press.
  • Marino, J. A. Jr., Peacor, S. D., Bunnell, D. B., Vanderploeg, H. A., Pothoven, S. A., Elgin, A. K., Bence, J. R., Jiao, J., & Ionides, E. L. (2019). Evaluating consumptive and nonconsumptive predator effects on prey density using field time-series data. Ecology 100(3), e02583. https://doi.org/10.1002/ecy.2583
  • Magnusson, K. G. (1995). An overview of the multispecies VPA: theory and applications. Reviews in Fish Biology and Fisheries, 5, 195-202.
  • Panja, P. & Mondal, S. K. (2015). Stability analysis of coexistence of three species prey-predator model. Nonlinear Dynamics, 81(1-2), 373-382.

Importance of Stability Analysis for Sustainable Fisheries in the Absence of Important Data

Year 2023, Volume: 19 Issue: 1, 71 - 87, 01.03.2023
https://doi.org/10.22392/actaquatr.1179986

Abstract

Assessment of fish stocks is especially important to avoid overfishing and obtain sustainable fishing policies, and there are many stock assessment methods such as XSA, VPA, BMS, CMSY, and MSVPA to analyze fish stocks. However, these assessment methods require an important amount of data for fish stocks such as diet data, natural mortality, fishing mortality, abundance index of species, predator ratio estimates, and so on. Unfortunately, we do not have such data for most of the fish stocks, and obtaining such data requires an important amount of money and time, but we still can predict important information about fish stocks such as biomass of fish stocks, the maximum sustainable yield, the biomass of fish lost or gained due to predator-prey relations, and even can track the effect of harvesting on predator-prey relations by building a mathematical model for fish populations and implementing a stability analysis. To obtain these outputs, we only need landing data and implement a parameter estimation constrained on stability conditions derived from the stability analysis of the mathematical model. Shortly, this study shows us how important stability analysis is to obtain important information about fish populations in the absence of important data.

References

  • Agmour, I., Achtaich, N., & Foutayeni, Y. E. (2018). Stability Analysis of a Competing Fish Populations Model with the Presence of a Predator, International Journal of Nonlinear Science, 26(2), 108-121.
  • Bardey, D. J. (2019). Overfishing: Pressure on our Oceans. Research in Agriculture, Livestock and Fisheries, 6(3), 397-404.
  • Bentounsi, M., Agmour, I., Achtaich, N., & El Foutayeni, Y. (2017). Stability Analysis of a Biological Model of a Marine Resources Allowing Density Dependent Migration. International Frontier Science Letters, 12, 22-34.
  • Bergland, H., Pedersen, P. A., & Wyller, J. (2018). Stable and unstable equilibrium states in a fishery–aquaculture model. Natural Resource Modeling, 32(2), e12200.
  • Daskalov, G. M., Demirel, N., Ulman, A., Georgieva, Y., & Zengin, M. (2020). Stock dynamics and predator–prey effects of Atlantic bonito and bluefish as top predators in the Black Sea. ICES Journal of Marine Science, 77(7-8), 2995–3005, https://doi.org/10.1093/icesjms/fsaa182
  • Demir, M. & Lenhart, S. (2019). Optimal sustainable fishery management of the Black Sea anchovy with food chain modeling framework. Natural Resource Modeling, 33(2), 1–29.
  • Demir, M. & Lenhart, S. (2021). A Spatial Food Chain Model for the Black Sea Anchovy and its Optimal Fishery. Discrete and Continuous Dynamical Systems Series B, 26(1), 155-171.
  • Demirel, N., Zengin, M., & Ulman, A. (2020). First Large-Scale Eastern Mediterranean and Black Sea Stock Assessment Reveals a Dramatic Decline. Frontiers in Marine Science, 7(103). https://doi.org/10.3389/fmars.2020.00103
  • Didiharyono, D., Toaha, S., Kusuma, J., & Kasbawati. (2021). Stability analysis of two predators and one prey population model with harvesting in fisheries management. Earth and Environmental Science, 921, 012005. https://doi.org/10.1088/1755-1315/921/1/012005
  • Foley, C. M. (2013). A Difference in Perspective: A Comparison of Ecosystem and Single-Species Focused Fisheries Management. Open Access Master's Theses. Paper 45. https://doi.org/10.23860/thesis-foley-catherine-2013
  • Harun, M., George, L., Colleta, A., & Wasike, A. (2019). Stability and Bifurcation Analysis of a Fishery Model with Allee Effects. Mathematical Modelling and Applications, 4(1), 1-9. https://doi.org/10.11648/j.mma.20190401.11
  • Hilborn, R. (2012). Overfishing: What everyone needs to know. Oxford University Press.
  • Lauck, T., Clark, C. W., Mangel, M., & Munro, G. R. (1998). Implementing the precautionary principle in fisheries management through marine reserves. Ecological Applications, 8, 72–78.
  • Kelly, M. R., Xing, Y., & Lenhart, S. (2016). Optimal fish harvesting for a population modeled by a nonlinear parabolic partial differential equation. Natural Resource Modeling, 29(1), 36-70.
  • Kelly, M. R., Neubert, M., & Lenhart, S. (2019). Marine reserves and optimal dynamic harvesting when fishing damages habitat. Theoretical Ecology, 12(2), 131–144.
  • Kot, M. (2001). Elements of mathematical ecology. Cambridge University Press.
  • Marino, J. A. Jr., Peacor, S. D., Bunnell, D. B., Vanderploeg, H. A., Pothoven, S. A., Elgin, A. K., Bence, J. R., Jiao, J., & Ionides, E. L. (2019). Evaluating consumptive and nonconsumptive predator effects on prey density using field time-series data. Ecology 100(3), e02583. https://doi.org/10.1002/ecy.2583
  • Magnusson, K. G. (1995). An overview of the multispecies VPA: theory and applications. Reviews in Fish Biology and Fisheries, 5, 195-202.
  • Panja, P. & Mondal, S. K. (2015). Stability analysis of coexistence of three species prey-predator model. Nonlinear Dynamics, 81(1-2), 373-382.
There are 19 citations in total.

Details

Primary Language English
Subjects Structural Biology
Journal Section Research Articles
Authors

Mahir Demir 0000-0002-9670-5210

Early Pub Date March 1, 2023
Publication Date March 1, 2023
Published in Issue Year 2023 Volume: 19 Issue: 1

Cite

APA Demir, M. (2023). Importance of Stability Analysis for Sustainable Fisheries in the Absence of Important Data. Acta Aquatica Turcica, 19(1), 71-87. https://doi.org/10.22392/actaquatr.1179986