Marine and Freshwater Research Marine and Freshwater Research Society
Advances in the aquatic sciences
RESEARCH ARTICLE

Evaluating the sensitivity of ecological indicators with a perspective of temporal scales

Chongliang Zhang A B , Yong Chen B , Yiping Ren A and Rong Wan A C
+ Author Affiliations
- Author Affiliations

A College of Fisheries, Ocean University of China, 5 Yushan Road, Qingdao, 266003, China.

B School of Marine Sciences, University of Maine, Orono, ME 04469, USA.

C Corresponding author. Email: rongwan@ouc.edu.cn

Marine and Freshwater Research 68(9) 1664-1676 https://doi.org/10.1071/MF16084
Submitted: 18 March 2016  Accepted: 22 November 2016   Published: 1 February 2017

Abstract

This simulation study tests the sensitivity of 12 candidate ecological indicators (EIs) that characterise fish abundance, body size and trophodynamics with respect to temporal scales. Size-spectrum models that explicitly account for trophic interactions are used to simulate community dynamics under different levels of fishing pressure, including a specific model of the fish community in Haizhou Bay, China, and trait-based models of generalised fishery systems. The sensitivity of EIs is characterised by (1) responsiveness, which refers to the dynamics of EI values with respect to the magnitude of changes in fishing effort, and (2) detectability, which measures the relative changes of EI with respect to reference baselines. The response of EIs is substantially non-linear over time. Most EIs are responsive to the reduction of fishing effort and have low detectability under high fishing pressure. Both characteristics of sensitivity tend to increase in the early years and level off in 2 decades, suggesting transient behaviours in EI dynamics. The results suggested the essential non-linear dynamics of EIs resulting from underlying trophic interactions and the potential misinterpretation of the temporal EIs dynamics. We highlight the necessity of considering temporal scales and fishing characteristics in applying EIs in fishery management.

Additional keywords: detectability, fishery management, responsiveness, size-spectrum model, trophic interaction.


References

Andersen, K. H., and Beyer, J. E. (2006). Asymptotic size determines species abundance in the marine size spectrum. American Naturalist 168, 54–61.
Asymptotic size determines species abundance in the marine size spectrum.CrossRef | 1:STN:280:DC%2BC38zhvFahsg%3D%3D&md5=b96fb7a82b655bcfbf4aa3d495a3c73eCAS |

Andersen, K. H., and Beyer, J. E. (2015). Size structure, not metabolic scaling rules, determines fisheries reference points. Fish and Fisheries 16, 1–22.
Size structure, not metabolic scaling rules, determines fisheries reference points.CrossRef |

Andersen, K. H., and Pedersen, M. (2010). Damped trophic cascades driven by fishing in model marine ecosystems. Proceedings of the Royal Society of London – B. Biological Sciences 277, 795–802.
Damped trophic cascades driven by fishing in model marine ecosystems.CrossRef | 1:STN:280:DC%2BC3c%2FltFWnsA%3D%3D&md5=825c0de4e1d35815ff4d147a0a63908dCAS |

Andersen, K. H., and Rice, J. C. (2010). Direct and indirect community effects of rebuilding plans. ICES Journal of Marine Science 67, 1980–1988.
Direct and indirect community effects of rebuilding plans.CrossRef |

Blanchard, J. L., Coll, M., Trenkel, V. M., Vergnon, R., Yemane, D., Jouffre, D., Link, J. S., and Shin, Y.-J. J. (2010). Trend analysis of indicators: a comparison of recent changes in the status of marine ecosystems around the world. ICES Journal of Marine Science 67, 732–744.
Trend analysis of indicators: a comparison of recent changes in the status of marine ecosystems around the world.CrossRef |

Blanchard, J. L., Andersen, K. H., Scott, F., Hintzen, N. T., Piet, G., and Jennings, S. (2014). Evaluating targets and trade-offs among fisheries and conservation objectives using a multispecies size spectrum model. Journal of Applied Ecology 51, 612–622.
Evaluating targets and trade-offs among fisheries and conservation objectives using a multispecies size spectrum model.CrossRef |

Bradshaw, G. A., and Borchers, J. G. (2000). Uncertainty as information: narrowing the science–policy gap. Ecology and Society 4, 7.

Caddy, J. (2000). Marine catchment basin effects versus impacts of fisheries on semi-enclosed seas. ICES Journal of Marine Science 57, 628–640.
Marine catchment basin effects versus impacts of fisheries on semi-enclosed seas.CrossRef |

Caddy, J. F., and Garibaldi, L. (2000). Apparent changes in the trophic composition of world marine harvests: the perspective from the FAO capture database. Ocean and Coastal Management 43, 615–655.
Apparent changes in the trophic composition of world marine harvests: the perspective from the FAO capture database.CrossRef |

Carvalho, G. R. (1993). Evolutionary aspects of fish distribution: genetic variability and adaptation. Journal of Fish Biology 43, 53–73.
Evolutionary aspects of fish distribution: genetic variability and adaptation.CrossRef |

Christensen, V. (2000). Indicators for marine ecosystems affected by fisheries. Marine and Freshwater Research 51, 447–450.
Indicators for marine ecosystems affected by fisheries.CrossRef |

Clarke, K. R., and Warwick, R. M. (1994). Changes in marine communities: an approach to statistical analysis and interpretation. (Plymouth Marine Laboratory: Plymouth, UK.) Available at http://www.vliz.be/en/imis?refid=117939 [Verified 1 November 2016].

Craig, G. R., and Baksi, W. F. (1977). The effects of depressed pH on flagfish reproduction, growth and survival. Water Research 11, 621–626.
The effects of depressed pH on flagfish reproduction, growth and survival.CrossRef | 1:CAS:528:DyaE1cXjsFSn&md5=875300950a769d7ef845cacba754acf7CAS |

Cury, P., and Christensen, V. (2005). Quantitative ecosystem indicators for fisheries management. ICES Journal of Marine Science 62, 307–310.
Quantitative ecosystem indicators for fisheries management.CrossRef |

Cury, P., Shannon, L., Roux, J., Daskalov, G., Jarre, A., Moloney, C., and Pauly, D. (2005). Trophodynamic indicators for an ecosystem approach to fisheries. ICES Journal of Marine Science 62, 430–442.
Trophodynamic indicators for an ecosystem approach to fisheries.CrossRef |

Daan, N., Gislason, H., Gpope, J., Crice, J., Pope, J. G., and Rice, J. C. (2005). Changes in the North Sea fish community: evidence of indirect effects of fishing? ICES Journal of Marine Science 62, 177–188.
Changes in the North Sea fish community: evidence of indirect effects of fishing?CrossRef |

Dambacher, J. M., Gaughan, D. J., Rochet, M.-J., Rossignol, P. a., and Trenkel, V. M. (2009). Qualitative modelling and indicators of exploited ecosystems. Fish and Fisheries 10, 305–322.
Qualitative modelling and indicators of exploited ecosystems.CrossRef |

Degnbol, P. (2005). Indicators as a means of communicating knowledge. ICES Journal of Marine Science 62, 606–611.
Indicators as a means of communicating knowledge.CrossRef |

Degnbol, P., and Jarre, A. (2004). Review of indicators in fisheries management: a development perspective. African Journal of Marine Science 26, 303–326.
Review of indicators in fisheries management: a development perspective.CrossRef |

Eero, M., Lindegren, M., and Köster, F. W. (2012). The state and relative importance of drivers of fish population dynamics: an indicator-based approach. Ecological Indicators 15, 248–252.
The state and relative importance of drivers of fish population dynamics: an indicator-based approach.CrossRef |

Fogarty, M. J. (2014). The art of ecosystem-based fishery management. Canadian Journal of Fisheries and Aquatic Sciences 71, 479–490.
The art of ecosystem-based fishery management.CrossRef |

Fulton, E., Smith, A., and Punt, A. (2005). Which ecological indicators can robustly detect effects of fishing? ICES Journal of Marine Science 62, 540–551.
Which ecological indicators can robustly detect effects of fishing?CrossRef |

Fung, T., Farnsworth, K. D., Shephard, S., Reid, D. G., and Rossberg, A. G. (2013). Why the size structure of marine communities can require decades to recover from fishing. Marine Ecology Progress Series 484, 155–171.
Why the size structure of marine communities can require decades to recover from fishing.CrossRef |

Garcia, S. M., and Staples, D. J. (2000). Sustainability reference systems and indicators for responsible marine capture fisheries: a review of concepts and elements for a set of guidelines. Marine and Freshwater Research 51, 385–426.
Sustainability reference systems and indicators for responsible marine capture fisheries: a review of concepts and elements for a set of guidelines.CrossRef |

Garcia, S. M., Staples, D. J., and Chesson, J. (2000). The FAO guidelines for the development and use of indicators for sustainable development of marine capture fisheries and an Australian example of their application. Ocean and Coastal Management 43, 537–556.
The FAO guidelines for the development and use of indicators for sustainable development of marine capture fisheries and an Australian example of their application.CrossRef |

Gislason, H. (2000). Symposium overview: incorporating ecosystem objectives within fisheries management. ICES Journal of Marine Science 57, 468–475.
Symposium overview: incorporating ecosystem objectives within fisheries management.CrossRef |

Greenstreet, S., and Rogers, S. (2006). Indicators of the health of the North Sea fish community: identifying reference levels for an ecosystem approach to management. ICES Journal of Marine Science 63, 573–593.
Indicators of the health of the North Sea fish community: identifying reference levels for an ecosystem approach to management.CrossRef |

Greenstreet, S. P. R., Rogers, S. I., Rice, J. C., Piet, G. J., Guirey, E. J., Fraser, H. M., and Fryer, R. J. (2011). Development of the EcoQO for the North Sea fish community. ICES Journal of Marine Science 68, 1–11.
Development of the EcoQO for the North Sea fish community.CrossRef |

Hall, S. J. (1999). ‘The Effects of Fishing on Marine Ecosystems and Communities.’ (Blackwell Science: Oxford, UK.)

Hartvig, M., Andersen, K. H., and Beyer, J. E. (2011). Food web framework for size-structured populations. Journal of Theoretical Biology 272, 113–122.
Food web framework for size-structured populations.CrossRef |

Hattam, C., Atkins, J. P., Beaumont, N., Börger, T., Böhnke-Henrichs, A., Burdon, D., De Groot, R., Hoefnagel, E., Nunes, P. L. D., Piwowarczyk, J., Sastre, S., and Austen, M. C. (2015). Marine ecosystem services: linking indicators to their classification. Ecological Indicators 49, 61–75.
Marine ecosystem services: linking indicators to their classification.CrossRef |

Heymans, J. J., Coll, M., Libralato, S., Morissette, L., and Christensen, V. (2014). Global patterns in ecological indicators of marine food webs: a modelling approach. PLoS One 9, e95845.
Global patterns in ecological indicators of marine food webs: a modelling approach.CrossRef |

Hoegh-Guldberg, O., and Bruno, J. F. (2010). The impact of climate change on the world’s marine ecosystems. Science 328, 1523–1528.
The impact of climate change on the world’s marine ecosystems.CrossRef | 1:CAS:528:DC%2BC3cXnsVWnt7Y%3D&md5=c0677d6e2285df6187baa66a132bc390CAS |

Houle, J. E., Farnsworth, K. D., Rossberg, A. G., and Reid, D. G. (2012). Assessing the sensitivity and specificity of fish community indicators to management action. Canadian Journal of Fisheries and Aquatic Sciences 69, 1065–1079.
Assessing the sensitivity and specificity of fish community indicators to management action.CrossRef |

Houle, J. E., Andersen, K. H., Farnsworth, K. D., and Reid, D. G. (2013). Emerging asymmetric interactions between forage and predator fisheries impose management trade-offs. Journal of Fish Biology 83, 890–904.
Emerging asymmetric interactions between forage and predator fisheries impose management trade-offs.CrossRef | 1:STN:280:DC%2BC2c%2FlvFWhsw%3D%3D&md5=5706c2ee334bf8a7d1e88d6b3df748baCAS |

Jacobsen, N. S., Gislason, H., and Andersen, K. H. (2014). The consequences of balanced harvesting of fish communities. Proceedings of the Royal Society of London – B. Biological Sciences 281, 20132701.
The consequences of balanced harvesting of fish communities.CrossRef |

Jennings, S. (2005). Indicators to support an ecosystem approach to fisheries. Fish and Fisheries 6, 212–232.
Indicators to support an ecosystem approach to fisheries.CrossRef |

Jennings, S., and Kaiser, M. J. (1998). The effects of fishing on marine ecosystems. Advances in Marine Biology 34, 201–352.
The effects of fishing on marine ecosystems.CrossRef |

Jennings, S., Greenstreet, S. P. R., and Reynolds, J. D. (1999). Structural change in an exploited fish community: a consequence of differential fishing effects on species with contrasting life histories. Journal of Animal Ecology 68, 617–627.
Structural change in an exploited fish community: a consequence of differential fishing effects on species with contrasting life histories.CrossRef |

Jennings, S., Pinnegar, J. K., Polunin, N. V. C., and Boon, T. W. (2001). Weak cross-species relationships between body size and trophic level belie powerful size-based trophic structuring in fish communities. Journal of Animal Ecology 70, 934–944.
Weak cross-species relationships between body size and trophic level belie powerful size-based trophic structuring in fish communities.CrossRef |

Jennings, S., Greenstreet, S. R., Hill, L., Piet, G. T., Pinnegar, J. K., and Warr, K. J. (2002). Long-term trends in the trophic structure of the North Sea fish community: evidence from stable-isotope analysis, size-spectra and community metrics. Marine Biology 141, 1085–1097.
Long-term trends in the trophic structure of the North Sea fish community: evidence from stable-isotope analysis, size-spectra and community metrics.CrossRef |

Kerr, S. R. (1974). Theory of size distribution in ecological communities. Journal of the Fisheries Research Board of Canada 31, 1859–1862.
Theory of size distribution in ecological communities.CrossRef |

Kinne, O. (1960). Growth, food intake, and food conversion in a Euryplastic fish exposed to different temperatures and salinities. Physiological Zoology 33, 288–317.
Growth, food intake, and food conversion in a Euryplastic fish exposed to different temperatures and salinities.CrossRef |

Kruse, G. H., Browman, H. I., Cochrane, K. L., Evans, D., Jamieson, G. S., Livingston, P. A., Woodby, D., and Zhang, C. I. (Eds) (2012). ‘Global Progress in Ecosystem-Based Fisheries Management.’ (Alaska Sea Grant, University of Alaska: Fairbanks, AK, USA.)

Law, R. (2000). Fishing, selection, and phenotypic evolution. ICES Journal of Marine Science 57, 659–668.
Fishing, selection, and phenotypic evolution.CrossRef |

Lehuta, S., Mahévas, S., Le Floc’h, P., and Petitgas, P. (2013). A simulation-based approach to assess sensitivity and robustness of fisheries management indicators for the pelagic fishery in the Bay of Biscay. Canadian Journal of Fisheries and Aquatic Sciences 70, 1741–1756.
A simulation-based approach to assess sensitivity and robustness of fisheries management indicators for the pelagic fishery in the Bay of Biscay.CrossRef |

Link, J. S. (2005). Translating ecosystem indicators into decision criteria. ICES Journal of Marine Science 62, 569–576.
Translating ecosystem indicators into decision criteria.CrossRef |

Methratta, E., and Link, J. (2006). Evaluation of quantitative indicators for marine fish communities. Ecological Indicators 6, 575–588.
Evaluation of quantitative indicators for marine fish communities.CrossRef |

Murawski, S. (2000). Definitions of overfishing from an ecosystem perspective. ICES Journal of Marine Science 57, 649–658.
Definitions of overfishing from an ecosystem perspective.CrossRef |

Nicholson, M. D., and Jennings, S. (2004). Testing candidate indicators to support ecosystem-based management: the power of monitoring surveys to detect temporal trends in fish community metrics. ICES Journal of Marine Science 61, 35–42.
Testing candidate indicators to support ecosystem-based management: the power of monitoring surveys to detect temporal trends in fish community metrics.CrossRef |

Niemi, G. J., and McDonald, M. E. (2004). Application of ecological indicators. Annual Review of Ecology Evolution and Systematics 35, 89–111.
Application of ecological indicators.CrossRef |

Pauly, D. (1980). On the interrelationships between natural mortality, growth parameters, and mean environmental temperature in 175 fish stocks. ICES Journal of Marine Science 39, 175–192.
On the interrelationships between natural mortality, growth parameters, and mean environmental temperature in 175 fish stocks.CrossRef |

Pauly, D., Christensen, V., Dalsgaard, J., Froese, R., and Torres, F. J. (1998). Fishing down marine food webs. Science 279, 860–863.
Fishing down marine food webs.CrossRef | 1:CAS:528:DyaK1cXhtVOjtro%3D&md5=f34621ae56cb27aa3710d23f3563ce86CAS |

Pitcher, T. J., Kalikoski, D., Short, K., Varkey, D., and Pramod, G. (2009). An evaluation of progress in implementing ecosystem-based management of fisheries in 33 countries. Marine Policy 33, 223–232.
An evaluation of progress in implementing ecosystem-based management of fisheries in 33 countries.CrossRef |

Pope, J. G., Rice, J. C., Daan, N., Jennings, S., and Gislason, H. (2006). Modelling an exploited marine fish community with 15 parameters: results from a simple size-based model. ICES Journal of Marine Science 63, 1029–1044.
Modelling an exploited marine fish community with 15 parameters: results from a simple size-based model.CrossRef |

Powers, J. E., and Monk, M. H. (2010). Current and future use of indicators for ecosystem based fisheries management. Marine Policy 34, 723–727.
Current and future use of indicators for ecosystem based fisheries management.CrossRef |

Probst, W. N., Stelzenmüller, V., and Kraus, G. (2013). A simulation-approach to assess the size structure of commercially exploited fish populations within the European Marine Strategy Framework Directive. Ecological Indicators 24, 621–632.
A simulation-approach to assess the size structure of commercially exploited fish populations within the European Marine Strategy Framework Directive.CrossRef |

Reznick, D. N., and Ghalambor, C. K. (2005). Can commercial fishing cause evolution? Answers from guppies (Poecilia reticulata). Canadian Journal of Fisheries and Aquatic Sciences 62, 791–801.
Can commercial fishing cause evolution? Answers from guppies (Poecilia reticulata).CrossRef |

Rice, C. J. (2000). Evaluating fishery impacts using metrics of community structure. ICES Journal of Marine Science 57, 682–688.
Evaluating fishery impacts using metrics of community structure.CrossRef |

Rice, J. (2003). Environmental health indicators. Ocean and Coastal Management 46, 235–259.
Environmental health indicators.CrossRef |

Rice, J., and Gislason, H. (1996). Patterns of change in the size spectra of numbers and diversity of the North Sea fish assemblage, as reflected in surveys and models. ICES Journal of Marine Science 53, 1214–1225.
Patterns of change in the size spectra of numbers and diversity of the North Sea fish assemblage, as reflected in surveys and models.CrossRef |

Rice, J., and Rochet, M. (2005). A framework for selecting a suite of indicators for fisheries management. ICES Journal of Marine Science 62, 516–527.
A framework for selecting a suite of indicators for fisheries management.CrossRef |

Rochet, M.-J., and Trenkel, V. M. (2003). Which community indicators can measure the impact of fishing? A review and proposals. Canadian Journal of Fisheries and Aquatic Sciences 60, 86–99.
Which community indicators can measure the impact of fishing? A review and proposals.CrossRef |

Rochet, M.-J. J., and Trenkel, V. M. (2009). Why and how could indicators be used in an ecosystem approach to fisheries management? In ‘The Future of Fisheries Science in North America’. (Eds R. J. Beamish and B. J. Rothschild.) pp. 209–226. (Springer: Dordrecht, Netherlands.)

Rombouts, I., Beaugrand, G., Fizzala, X., Gaill, F., Greenstreet, S. P. R., Lamare, S., Le Loc’h, F., McQuatters-Gollop, A., Mialet, B., Niquil, N., Percelay, J., Renaud, F., Rossberg, A. G., and Féral, J. P. (2013). Food web indicators under the Marine Strategy Framework Directive: from complexity to simplicity? Ecological Indicators 29, 246–254.
Food web indicators under the Marine Strategy Framework Directive: from complexity to simplicity?CrossRef |

Sainsbury, K. J., Punt, A. E., and Smith, A. D. M. (2000). Design of operational management strategies for achieving fishery ecosystem objectives. ICES Journal of Marine Science 57, 731–741.
Design of operational management strategies for achieving fishery ecosystem objectives.CrossRef |

Scott, F., Blanchard, J. L., and Andersen, K. H. (2014a). mizer: an R package for multispecies, trait-based and community size spectrum ecological modelling. Methods in Ecology and Evolution 5, 1121–1125.
mizer: an R package for multispecies, trait-based and community size spectrum ecological modelling.CrossRef |

Scott, F., Blanchard, J. L., and Andersen, K. H. (2014b). Multispecies, trait-based and community size spectrum ecological modelling in R (mizer). (Cefas: Lowestoft, UK.) Available at https://cran.r-project.org/web/packages/mizer/index.html [Verified 16 April 2014].

Shannon, C. E. (1948). A mathematical theory of communication. The Bell System Technical Journal 27, 379–423.
A mathematical theory of communication.CrossRef |

Sheldon, R. W., Prakash, A., and Sutcliffe, W. H. (1972). The size distribution of particles in the ocean. Limnology and Oceanography 17, 327–340.
The size distribution of particles in the ocean.CrossRef |

Shin, Y. J., Shannon, L. J., Bundy, A., Coll, M., Aydin, K., Bez, N., Blanchard, J. L., Borges, M. d. F., Diallo, I., Diaz, E., Heymans, J. J., Hill, L., Johannesen, E., Jouffre, D., Kifani, S., Labrosse, P., Link, J. S., Mackinson, S., Masski, H., Mollmann, C., Neira, S., Ojaveer, H., ould Mohammed Abdallahi, K., Perry, I., Thiao, D., Yemane, D., and Cury, P. M. (2010). Using indicators for evaluating, comparing, and communicating the ecological status of exploited marine ecosystems. 2. Setting the scene. ICES Journal of Marine Science 67, 692–716.
Using indicators for evaluating, comparing, and communicating the ecological status of exploited marine ecosystems. 2. Setting the scene.CrossRef |

Simpson, E. H. (1949). Measurement of diversity. Nature 163, 688.
Measurement of diversity.CrossRef |

Sinclair, M., Arnason, R., Csirke, J., Karnicki, Z., Sigurjonsson, J., Rune Skjoldal, H., and Valdimarsson, G. (2002). Responsible fisheries in the marine ecosystem. Fisheries Research 58, 255–265.
Responsible fisheries in the marine ecosystem.CrossRef |

Sissenwine, M. P. (1984). Why do fish populations vary? In ‘Exploitation of Marine Communities’. (Ed. R. M. May.) Dahlem workshop report, pp. 59–94. (Springer: Berlin, Germany.)

Smith, A. D. M., Fulton, E. J., Hobday, A. J., Smith, D. C., and Shoulder, P. (2007). Scientific tools to support the practical implementation of ecosystem-based fisheries management. ICES Journal of Marine Science 64, 633–639.
Scientific tools to support the practical implementation of ecosystem-based fisheries management.CrossRef |

Tang, F., Shen, X., and Wang, Y. (2011). Dynamics of fisheries resources near Haizhou Bay waters. Fisheries Science 30, 335–341.

Travers, M., Shin, Y.-J., Shannon, L., and Cury, P. (2006). Simulating and testing the sensitivity of ecosystem-based indicators to fishing in the southern Benguela ecosystem. Canadian Journal of Fisheries and Aquatic Sciences 63, 943–956.
Simulating and testing the sensitivity of ecosystem-based indicators to fishing in the southern Benguela ecosystem.CrossRef |

Trenkel, V. M., and Rochet, M.-J. (2003). Performance of indicators derived from abundance estimates for detecting the impact of fishing on a fish community. Canadian Journal of Fisheries and Aquatic Sciences 60, 67–85.
Performance of indicators derived from abundance estimates for detecting the impact of fishing on a fish community.CrossRef |

Walker, W. E., Harremoës, P., Rotmans, J., van der Sluijs, J. P., van Asselt, M. B. A., Janssen, P., and Krayer von Krauss, M. P. (2003). Defining uncertainty: a conceptual basis for uncertainty management in model-based decision support. Integrated Assessment 4, 5–17.
Defining uncertainty: a conceptual basis for uncertainty management in model-based decision support.CrossRef |

Walters, C., Christensen, V., Martell, S., and Kitchell, J. (2005). Possible ecosystem impacts of applying MSY policies from single-species assessment. ICES Journal of Marine Science 62, 558–568.
Possible ecosystem impacts of applying MSY policies from single-species assessment.CrossRef |

Yemane, D., Field, J. G., and Leslie, R. W. (2005). Exploring the effects of fishing on fish assemblages using abundance biomass comparison (ABC) curves. ICES Journal of Marine Science 62, 374–379.
Exploring the effects of fishing on fish assemblages using abundance biomass comparison (ABC) curves.CrossRef |

Zhang, L., Thygesen, U. H., Knudsen, K., and Andersen, K. H. (2013). Trait diversity promotes stability of community dynamics. Theoretical Ecology 6, 57–69.
Trait diversity promotes stability of community dynamics.CrossRef |

Zhang, L., Hartvig, M., Knudsen, K., and Andersen, K. H. (2014). Size-based predictions of food web patterns. Theoretical Ecology 7, 23–33.
Size-based predictions of food web patterns.CrossRef |

Zhang, C., Chen, Y., and Ren, Y. (2015). Assessing uncertainty of a multispecies size-spectrum model resulting from process and observation errors. ICES Journal of Marine Science 72, 2223–2233.
Assessing uncertainty of a multispecies size-spectrum model resulting from process and observation errors.CrossRef |

Zhang, C., Chen, Y., and Ren, Y. (2016). The efficacy of fisheries closure in rebuilding depleted stocks: lessons from size-spectrum modeling. Ecological Modelling 332, 59–66.
The efficacy of fisheries closure in rebuilding depleted stocks: lessons from size-spectrum modeling.CrossRef |

Zhou, S., Smith, A. D., and Knudsen, E. E. (2015). Ending overfishing while catching more fish. Fish and Fisheries 16, 716–722.
Ending overfishing while catching more fish.CrossRef |



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