Application of Models to Eutrophication in Lakes

Öz

One of the phenomena that causes ecological concerns is lake eutrophication. Lakes are under the threat of water quality degradation and ecological imbalance due to increased anthropogenic activity, particularly in developing countries. In this context, limnologists and environmental scientists have been using numerical modeling in their studies of aquatic ecosystems over the last few decades. Ecological models use ecosystem-process interactions to simulate future management scenarios and evaluate the system's response to eutrophication. Utilizing ecological models has made it simpler than ever to estimate and manage lake eutrophication. However, due to lake-specific issues, the models are becoming increasingly detailed. In this review ; a) The model types used in eutrophication-focused modelling studies were summarized b) Model utilizations based on different eutrophication elements and events were highlighted via several recent national and international studies.

Anahtar Kelimeler

• Lakes
• Modelling
• Eutrophication
• Prediction
• Simulation

Göllerde Ötrofikasyona İlişkin Model Uygulamaları

Öz

Göllerin ötrofikasyonu, günümüzde ekolojik endişe yaratan olgulardan biridir. Göller özellikle gelişmekte olan ülkelerde artan antropojenik faaliyetler nedeniyle su kalitesinde bozulma ve ekolojik dengesizlik sorunuyla karşı karşıyadır. Bu bağlamda, son birkaç on yıldır limnologlar ve çevre bilimcileri, sucul ekosistemlerin bu sorununa yönelik çalışmalarında, sayısal modellemeyi bir araç olarak kullanmaktadır. Ekolojik modeller, ekosistem proses-etkileşimlerini, geleceğe yönelik yönetim senaryolarını simule etmek ve ötrofikasyona karşı sistemin tepkisini değerlendirmek için kullanılmaktadır. Ekolojik modellerin kullanımı ile göllerde ötrofikasyonun tahmini ve kontrolü eskiye göre daha kolay hale gelmiştir. Ancak göllere özgü sorunlar nedeniyle modeller giderek daha ayrıntılı bir formata bürünmeye devam etmektedir. Bu derleme çalışmasında; a) Ötrofikasyon odaklı modelleme çalışmalarında kullanılan model tipleri özetlenmiş b) Farklı ötrofikasyon unsurlarını ve olaylarını esas alan çeşitli model kullanımlarına, güncel bazı yabancı ve yerli çalışmalarla dikkat çekilmiştir.

Anahtar Kelimeler

• Göller
• Modelleme
• Ötrofikasyon
• Tahmin
• Simulasyon

Kaynakça

1. Ahlgren, I., Frisk, T., & Kamp-Nielsen, K. (1988). Empirical and theoretical models of phosphorus loading, retention and concentration vs. lake trophic state. Hydrobiologia, 170, 285-303. doi: 10.1007/BF00024910
2. Altunkaynak, D., & Şen, Z. (2007). Fuzzy logic model of lake water level fluctuations in Lake Van, Turkey. Theoratical and Applied Climatology, 90, 227–233. doi:10.1007/s00704-006-0267-z
3. Anagnostou, E., Gianni, A., & Zacharias, I. (2017). Ecological modeling and eutrophication-a review. Natural Resource Modeling, 30, 2130. doi.org/10.1111/nrm.12130
4. Anonim (2013). Yedi Renkli Göle Yedi Renkli Hayat Projesi – 2013 ©WWF-Türkiye (Doğal Hayatı Koruma Vakfı), İstanbul, Türkiye. 36 s.
5. Antonopoulos, V., & Gianniou, S. K. (2003). Simulation of water temperature and dissolved oxygen distribution in Lake Vegoritis, Greece. Ecological Modelling, 160, 39-53. doi: 10.1016/S0304-3800(02)00286-7
6. Arhonditsis, G.B., & Brett, M.T. (2005a). Eutrophication model for Lake Washington (USA). Part I. Model description and sensitivity analysis. Ecological Modelling, 187, 140–178. doi:10.1016/j.ecolmodel.2005.01.040
7. Arhonditsis, G.B., & Brett, M.T. (2005b). Eutrophication model for Lake Washington (USA) Part II—Model calibration and system dynamics analysis. Ecological Modelling, 187, 179-200. doi:10.1016/j.ecolmodel.2005.01.039
8. Bahadır, M., & Özdemir, M.A. (2011). Climate trend analysis of the level changes of Iznik Lake in Turkey. Biological Life Science, 2(3), 4-13. doi: 7827/TurkishStudies.2465

9. Bergamino, N., A. Loiselle, S., Cózar, A., M. Dattilo, A., Bracchini, L., & Rossi, C. (2007). Examining the dynamics of phytoplankton biomass in Lake Tanganyika using Empirical Orthogonal Functions. Ecological Modelling, 204, 156–162. doi: 10.1016/j.ecolmodel.2006.12.031
10. Bhagowati, B., & Ahamad, K.U. (2019). A review on lake eutrophication dynamics and recent developments in lake modeling. Ecohydrology & Hydrobiology, 19, 155–166. doi: 10.1016/j.ecohyd.2018.03.002
11. Brown, C., Hoyer, M., Bachmann, R., & Canfield, D. (2000). Nutrient-chlorophyll relationships: an evaluation of empirical nutrient-chlorophyll models using Florida and north-temperate lake data. Canadian Journal of Fisheries and Aquatic Sciences, 57, 1574–1583. doi: 10.1139/f00-090
12. Bruce, L.C., Hamilton, D., Imberger, J., Gal, G., Gophen, M., Zohary, T., & Hambright, K.D. (2006). A numerical simulation of the role of zooplankton in C, N and P cycling in Lake Kinneret, Israel. Ecological Modelling, 193, 412–436. doi: 10.1016/j. ecolmodel.2005.09.008
13. Bucak, T., Trolle, D., Tavşanoğlu, Ü. N., Çakıroğlu, A.İ., Özen, A., Jeppesen, E., & Beklioğlu., M. (2018). Modeling the effects of climatic and land use changes on phytoplankton and water quality of the largest Turkish freshwater lake: Lake Beyşehir. Science of the Total Environment, 621, 802-816. doi: 10.1016/j.scitotenv.2017.11.258
14. Carraro, E., Guyennon, N., Hamilton, D., Valsecchi, L., Manfredi, E.C., Viviano, G., Salerno, F., Tartari, G., & Copetti, D. (2012). Coupling high-resolution measurements to a threedimensional lake model to assess the spatial and temporal dynamics of the cyanobacterium Planktothrix rubescens in a medium-sized lake. Hydrobiologia 698, 77–95. doi: 10.1007/s10750-012-1096-y
15. Chapra, S.C., & Reckhow, K. (1979). Expressing the phosphorus loading concept in probabalistic terms. Journal of the Fisheries Research Board of Canada, 36, 225–229. doi: 10.1139/f79-034
16. Chapra, S.C., & Canale, R.P. (1991). Long-term phenomenological model of phosphorus and oxygen for stratified lakes. Water Resources, 25, 707–715. doi:10.1016/0043- 1354(91)90046-S
17. Chung, E.G., Bombardelli, F.A., & Schladow, S.G. (2009). Modeling linkages between sediment resuspension and water quality in a shallow, eutrophic, wind-exposed lake. Ecological Modelling, 220, 1251–1265. doi:10.1016/j.ecolmodel.2009.01.038
18. Coppens, J., Trolle, D., Jeppesen, E., & Beklioğlu., M. (2020). The impact of climate change on a Mediterranean shallow lake: insights based on catchment and lake modelling. Regional Environmental Change, 20, 62. doi: 10.1007/s10113-020-01641-6
19. Deus, R., Brito, D., Kenov, I.A., Lima, M., Costa, V., Medeiros, A., Neves, R., & Alves, C.N. (2013). Three-dimensional model for analysis of spatial and temporal patterns of phytoplankton in Tucuruí reservoir, Pará, Brazil. Ecological Modelling, 253, 28–43. doi:10.1016/j.ecolmodel.2012.10.013
20. Dillon, P.J., & Rigler, F.H. (1974a). The phosphorus-chlorophyll relationship in lakes: phosphorus-chlorophyll relationship. Limnology and Oceanography, 19, 767–773. doi:10.4319/lo.1974.19.5.0767
21. Dillon, P.J., & Rigler, F.H. (1974b). A test of a simple nutrient budget model predicting the phosphorus concentration in lake water. Journal of the Fisheries Research Board of Canada, 31, 1771–1778. doi:10.1139/f74-225
22. Doğan, E., Kocamaz, U. E., Utkucu, M., & Yıldırım., E. (2016). Modelling daily water level fluctuations of Lake Van (Eastern Turkey) using Artificial Neural Networks. Fundamental Applied Limnology, 187 (3), 177–189. doi: 10.1127/fal/2015/0736
23. Elliott, J.A., Perrson, I., Thackeray, S.J., & Blencker, T. (2007). Phytoplankton modelling of Lake Erken Sweden by linking the models PORBE and PROTECH. Ecological Modelling, 202, 421–426. doi:10.1016/j.ecolmodel2006.11.004
24. Elliott, J.A., & Defew, L. (2012). Modelling the response of phytoplankton in a shallow lake (Loch Leven, UK) to changes in lake retention time and water temperature. Hydrobiologia, 681, 105–116. doi: 10.1007/s10750-011-0930-y
25. Elshorbagy, A., & Ormsbee., L. (2006). Object-oriented modeling approach to surface water quality management. Environmental modeling & Software, 21, 689–698. doi:10.1016/j. envsoft.2005.02.001
26. Erdoğan, A. (2009). Modelling of expert knowledge in geographic information systems-based planning of the Tuz Lake Special Environmental Protection Area, Turkey. Planning, Practice & Research, 24 (4), 435–454. doi: 10.1080/02697450903327071
27. Fetahi, T., & Mengistou, S. (2007). Trophic analysis of Lake Awassa (Ethiopia) using mass-balance Ecopath model. Ecological Modelling, 201(3-4), 398-408. doi: 10.1016/j.ecolmodel.2006.10.010
28. Fornarelli, R., Galelli, S., Castelletti, A., Antenucci, J.P., & Marti, C.L. (2013). An empirical modeling approach to predict and understand phytoplankton dynamics in a reservoir affected by interbasin water transfers. Water Resources Research, 49, 3626–3641. doi:10.1002/wrcr.20268
29. Freeman, A.M., Lamon, E.C., & Stow, C.A. (2009). Nutrient criteria for lakes, ponds, and reservoirs: a bayesian TREED model approach. Ecological Modelling, 220, 630–639. doi:10.1016/j.ecolmodel.2008.12.009
30. Ghorbani, M.A., Ravinesh, C. Deo., Karimi, V., Yaseen, Z. M., & Terzi, Ö. (2018). Implementation of a hybrid MLP-FFA model for water level prediction of Lake Egirdir, Turkey. Stochastic Environmental Research and Risk Assessment, 32, 1683–1697. doi: 10.1007/s00477-017-1474-0
31. Gürkan, Z., Zhang, J., & Jørgensen, S.E. (2006). Development of a structurally dynamic model for forecasting the effects of restoration of Lake Fure, Denmark. Ecological Modelling, 197, 89–102. doi: 10.1016/j.ecolmodel.2006.03.006
32. Hakanson, L. (2002). Modelling Radiocesium in Lakes and Coastal Areas–– New Approaches for Ecosystem Modellers. 215 p. A Textbook with Internet Support. Kluwer, Academic Publishers.
33. Hakanson, L., & Bryhn, A.C. (2008). A dynamic mass-balance model for phosphorus in lakes with a focus on criteria for applicability and boundary conditions. Water, Air, & Soil Pollution, 187, 119–147. doi: 10.1007/s11270-007-9502-1
34. Hense, I., & Beckmann, A. (2006). Towards a model of cyanobacteria life cycle—effects of growing and resting stages on bloom formation of N2-fixing species. Ecological Modelling, 195, 205–218. doi: 10.1016/j.ecolmodel.2005.11.018
35. Imboden, D.M. (1974). Phosphorus model of lake eutrophication: P model of lake eutrophication. Limnology and Oceanography, 19, 297–304. doi:10.4319/ lo.1974.19.2.0297
36. Imboden, D.M., & Gächter, R. (1978). A dynamic lake model for trophic state prediction. Ecological Modelling, 4, 77–98. doi:10.1016/0304-3800(78)90001-7
37. Jensen, J.P., Pedersen, A.R., Jeppesen, E., & Søndergaard, M. (2006). An empirical model describing the seasonal dynamics of phosphorus in 16 shallow eutrophic lakes after external loading reduction. Limnology and Oceanography, 51, 791–800. doi: 10.4319/lo.2006.51.1_part_2.0791
38. Karaaslan, Y., Ertürk, F., & Akkoyunlu, A. (2010). Implementation of Aquatox, Pamolare and Wasp Models to Mogan Lake. Journal of Engineering and Natural Sciences Mühendislik ve Fen Bilimleri Dergisi, Sigma 28, 110-123
39. Karafistan, A. (2013). Conceptual modelling of Lake Manyas, Turkey. Turkish Journal of Engineering and Environmental Sciences, 37, 306 – 317. doi: 10.3906/muh-1212-10
40. Karul, C., Soyupak, S., Çilesiz, A.F., Akbay, N., & Germen, E. (2000). Case studies on the use of neural networks in eutrophication modeling. Ecological Modelling, 134, (2-3), 145-152. doi: 101016/S0304-3800(00)00360-4
41. Katip, A., İleri , S., Karaer, F., & Onur, S. (2015). Determination of the trophic state of Lake Uluabat (Bursa-Turkey). Ekoloji 24, 95, 1-9. doi: 10.5053/ekoloji.2015.06
42. Kişi, Ö. (2009). Neural network and wavelet conjunction model for modelling monthly level fluctuations in Turkey. Hydrological Processes, 23, 2081–2092. doi:10.1002/hyp.7340
43. Leon, L.F., Smith, R.E.H., Hipsey, M.R., Bocaniov, S.A., Higgins, S.N., Hecky, R.E., Antenucci, J.P., Imberger, J.A., & Guildford, S.J. (2011). Application of a 3D hydrodynamic-biological model for seasonal and spatial dynamics of water quality and phytoplankton in Lake Erie. Journal of Great Lakes Research, 37, 41–53. doi:10.1016/j.jglr.2010.12.007
44. Li-kun, Y., Sen, P., Xin-hua, Z., & Xia, L. (2017). Development of a two dimensional eutrophication model in an urban lake (China) and the application of uncertainty analysis. Ecological Modelling, 345, 63–74. doi: 10.1016/j.ecolmodel.2016.11.014
45. Lindim, C., Becker, A., Grüneberg, B., & Fischer, H. (2015). Modelling the effects of nutrient loads reduction and testing the N and P control paradigm in a German shallow lake. Ecological Engineering, 82, 415–427. doi: 10.1016/j.ecoleng.2015.05.009
46. Makarewicz, J.C., & Bertram, P. (1991). Evidence for the restoration of the Lake Erie ecosystem. Bioscience 41 (4), 216–223. doi: 10.2307/1311411
47. Malmaeus, J.M., & Hakanson, L. (2003). A dynamic model to predict suspended particulate matter in lakes. Ecological Modelling, 167, 247–262. doi: 10.1016/S0304-3800(03)00166-2
48. Malmaeus, J.M., Blenckner, T., Markensten, H., & Persson, I. (2006). Lake phosphorus dynamics and climate warming: A mechanistic model approach. Ecological Modelling, 190, 1-1-14. doi: 10.1016/S0304-3800(03)00297-7
49. Mieleitner, J., & Reichert, P. (2006). Analysis of the transferability of a biogeochemical lake model to lakes of different trophic state. Ecological Modelling, 194, 49–61. doi:10.1016/j.ecolmodel.2005.10.039
50. Misra, A.K. (2007). Mathematical modeling and analysis of eutrophication of water bodies caused by nutrients. Nonlinear Analysis Modelling and Control, 12 (4), 511–524. doi: 10.1016/j.nonrwa.2005.09.002
51. Mulderij, G., Mau, B., van Donk, E., & Gross, M.E. (2007). Allelopathic activity of Stratiotes aloides on phytoplankton—towards identification of allelopathic substances. Hydrobiologia 584, 89–100. doi:10.1007/s10750-007-0602-0
52. Muhammetoğlu, A., & Soyupak, S. (2000). A three-dimensional water quality-macrophyte interaction model for shallow lakes. Ecological Modelling, 133 (2-3), 161-180. doi: 10.1016/S0304-3800(00)00297-0
53. Muraoka, K., & Fukushima, T. (1986). On the box model for prediction of water quality in eutrophic lakes. Ecological Modelling, 31, 221–236. doi:10.1016/0304-3800(86) 90065-7
54. Nürnberg, G.K. (1984). The prediction of internal phosphorus load in lakes with anoxic hypolimnia. Limnology and Oceanography, 29, 111–124. doi: 10.4319/lo.1984.29.1.0111
55. Nürnberg, G.K., & LaZerte, B.D. (2004). Modeling the effect of development on internal phosphorus load in nutrient-poor lakes. Water Resources Reseaech, 40, W01105. doi:10.1029/2003WR002410
56. Ofir, E., Heymans, J.J., Shapiro, J., Goren, M., Spanier, E., & Gal, G. (2017). Predicting the impact of Lake Biomanipulation based on food-web modeling—Lake Kinneret as a case study. Ecological Modelling, 348, 14–24. doi: 0.1016/j.ecolmodel.2016.12.019
57. Onderka, M. (2007). Correlations between several environmental factors affecting the bloom events of cyanobacteria in Liptovska Mara reservoir (Slovakia)—a simple regression model. Ecological Modelling, 209, 412–416. doi:10.1016/j. ecolmodel.2007.07.028
58. Pers, B. (2005). Modeling the response of eutrophication control measures in a Swedish lake. Ambio 34, 552–558. doi:10.1639/0044-7447(2005)034[0552: MTROEC]2.0.CO;2
59. Pulatsü, S., & Aydın, F. (1997). Water quality and phosphorus budget of Mogan Lake, Turkey. Acta hydrochimica et hydrobiologica. 25(3), 128-134. doi: 10.1002/AHEH.19970250303
60. Reckhow, K. (1993). A random coefficient model for chlorophyll nutrient relationships in lakes. Ecological Modelling, 70, 35–50. doi:10.1016/0304-3800(93)90071-Y
61. Reid, T., & Crout, N. (2008). A thermodynamic model of freshwater Antarctic lake ice. Ecological Modelling, 210, 231–241. doi: 10.1016/j.ecolmodel.2007.07.029
62. Rucinski, D.K., DePinto, J.V., Beletsky, D., & Scavia, D. (2016). Modeling hypoxia in the central basin of Lake Erie under potential phosphorus load reduction scenarios. Journal of Great Lakes Research, 42 (6), 1206-1211. doi: 10.1016/j.jglr.2016.07.001
63. Salerno, F., Viviano, G., Carraro, E., Manfredi, E.C., Lami, A., Musazzi, S., Marchetto, A., Guyennon, N., Tartari, G., & Copetti, D. (2014). Total phosphorus reference condition for subalpine lakes: a comparison among traditional methods and a new processbased watershed approach. Journal of Environmental Management, 145, 94–105. doi: 10.1016/j.jenvman.2014.06.011
64. Shukla, J.B., Misra, A.K., & Chandra, P. (2008). Mathematical modelling and analysis of the depletion of dissolved oxygen in eutrophied water bodies affected by organic pollutants. Nonlinear Analysis: Real World Applications, 9, 1851–1865. doi: 10.1016/j.nonrwa.2007.05.016
65. Şanal, M., Köse, B., Coşkun, T., & Demir, N. (2015). Mogan Gölü’nde sucul makrofitlere göre ekolojik kalitenin tahmini. Iğdır Üniversitesi Fen Bilimleri Dergisi, 5, 51-55.
66. Şen, Z., Kadioglu, M., & Batur, E. (2000). Stochastic modeling of the Van Lake monthly level fluctuations in Turkey. Theoratical and Applied Climatology, 65, 99-110. doi: 10.1007/s007040050007
67. Thapanand, T., Moreau, J., Jutagate, T., Wongrat, P., Leckhonlayut, T., Meksumpun, C., Rodloi, A., Dulyapruk, V., & Wongrat, L. (2007). Towards possible fishery management strategies in a newly impounded man-made lake in Thailand. Ecological Modelling, 204 (1-2), 143-155. doi: 0.1016/j.ecolmodel.2006.12.041
68. Vanhuet, H. (1992). Phosphorus eutrophication in the SW Frisian lake district. 1. Monitoring and assessment of a dynamic mass balance model. Hydrobiologia, 233, 259–270. doi:10.1007/BF00016114
69. Villanueva, M.C.S., Isumbisho, M., Kaningini, B., Moreau, J., & Micha, J.C. (2008). Modelling trophic interactions in Lake Kivu. What roles do exotics play? Ecological Modelling, 212, 422–438. doi: 10.1016/j.ecolmodel.2007.10.047
70. Vinçon-Leite, B., & Casenave, C. (2019). Modelling eutrophication in lake ecosystems: A review. Science of the Total Environment, 651, 2085-3001. doi:1010.10.1016/j. scitotenv. 2018. 09. 320
71. Wu, Z., Liu, Y., Liang, Z., Wu, S., & Guo, H. (2017). Internal cycling, not external loading, decides the nutrient limitation in eutrophic lake: a dynamic model with temporal Bayesian hierarchical inference. Water Resources, 116, 231–240. doi:10.1016/j. watres.2017.03.039
72. Xu, Y., Schroth, A.W., Isles, P.D.F., & Rizzo, D.M. (2015). Quantile regression improves models of lake eutrophication with implications for ecosystem-specific management. Freshwater Biology, 60, 1841–1853. doi:10.1111/fwb.126 15
73. Yamashiki, Y., Kato, M., Takara, K., Nakakita, E., Kumagai, M., & Jiao, C. (2010). Sensitivity analysis on Lake Biwa under the A1B SRES climate change scenario using Biwa-3D Integrated Assessment Model. Part I. Projection of lake temperature. Hydrological Research Letters, 4, 45–49. doi: 10.3178/HRL.4.45
74. Zhang, J., Jørgensen, S.E., Tan, C.O., & Beklioglu, M. (2003). Hysteresis in vegetation shift—Lake Mogan Prognoses. Ecological Modelling, 164, 227–238. doi: 10.1016/S0304-3800(03)00050-4
75. Zhang, H., Culver, D.A., & Boegman, L. (2008). A two-dimensional ecological model of Lake Erie: application to estimate dreissenid impacts on large lake plankton population. Ecological Modelling, 214, 219–240. doi: 10.1016/j.ecolmodel.2008.02.005
76. Zhao, J., Ramin, M., Cheng, V., & Arhonditsis, G.B. (2008). Plankton community patterns across a trophic gradient: the role of zooplankton functional groups. Ecological Modelling, 213, 417–436. doi: 10.1016/ j.ecolmodel.2008.01.016