Self-starting CUSUM approach for monitoring data poor fisheries

Abstract This study attempts to determine whether a fish stock can be monitored and assessed if no historical fisheries data are available. Many existing methods require a time series of population and fishing pressure observations to estimate reference points to trigger decision rules. We demonstrate here the self-starting cumulative sum control chart (SS-CUSUM) where reference points are calibrated from indicator observations sequentially in real time as they are monitored. We used SS-CUSUM to monitor catch-based indicators from a simulated fishery where no previous scientific data are available. In the scenarios considered, the SS-CUSUM was successful in producing responses to fishing impacts with all indicators. A qualitative assessment on performance measures showed that the method worked best with indicators that represented the large fish component in landed catches (large fish indicators). Our study implies that neither a reference point nor a formal fish stock assessment is necessarily required to detect the impact of fishing on stock biomass. We discuss how SS-CUSUM could be incorporated into the assessment process for data poor fisheries.

[1]  Gerjan J. Piet,et al.  Development of the EcoQO for the North Sea fish community , 2011 .

[2]  John F. Caddy A short review of precautionary reference points and some proposals for their use in data-poor situations , 1998 .

[3]  Emilio Hernández-García,et al.  Ecological thresholds and regime shifts: approaches to identification. , 2009, Trends in ecology & evolution.

[4]  Michael J. Fogarty,et al.  Recruitment of cod and haddock in the North Atlantic: a comparative analysis , 2001 .

[5]  Enrique del Castillo,et al.  SPC Methods for Quality Improvement , 1999, Technometrics.

[6]  Geir Ottersen,et al.  Covariability in early growth and year-class strength of Barents Sea cod, haddock, and herring: the environmental link , 2000 .

[7]  Zhonghua Li,et al.  Adaptive CUSUM of the Q chart , 2010 .

[8]  Natalie Dowling,et al.  Developing harvest strategies for low-value and data-poor fisheries: Case studies from three Australian fisheries , 2008 .

[9]  J K Reneau,et al.  A novel method of analyzing daily milk production and electrical conductivity to predict disease onset. , 2009, Journal of dairy science.

[10]  Verena Trenkel,et al.  Combining indicator trends to assess ongoing changes in exploited fish communities: diagnostic of communities off the coasts of France , 2005 .

[11]  Tom Fawcett,et al.  An introduction to ROC analysis , 2006, Pattern Recognit. Lett..

[12]  Rainer Froese,et al.  Keep it simple: three indicators to deal with overfishing , 2004 .

[13]  C. J. Kelly,et al.  ‘Cheap and dirty’ fisheries science and management in the North Atlantic , 2006 .

[14]  R. Beverton,et al.  On the dynamics of exploited fish populations , 1993, Reviews in Fish Biology and Fisheries.

[15]  Laurence T. Kell,et al.  Do climate and fishing influence size-based indicators of Celtic Sea fish community structure? , 2005 .

[16]  D. Hawkins,et al.  Cumulative Sum Charts and Charting for Quality Improvement , 1998, Statistics for Engineering and Physical Science.

[17]  V. Trenkel,et al.  Which community indicators can measure the impact of fishing? A review and proposals , 2003 .

[18]  Pierre Petitgas,et al.  Fish stock assessments using surveys and indicators , 2009 .

[19]  V. Trenkel,et al.  Performance of indicators derived from abundance estimates for detecting the impact of fishing on a fish community , 2003 .

[20]  Douglas M. Hawkins,et al.  Self-Starting Multivariate Exponentially Weighted Moving Average Control Charting , 2007, Technometrics.

[21]  Zhonghua Li,et al.  Cusum of Q chart with variable sampling intervals for monitoring the process mean , 2010 .

[22]  W. J. McCurdy,et al.  Variability in maturity and growth in a heavily exploited stock: cod (Gadus morhua L.) in the Irish Sea , 2004 .

[23]  P. Cury,et al.  Sensitivity of marine systems to climate and fishing: Concepts, issues and management responses , 2010 .

[24]  Benoit Mesnil,et al.  Detection of changes in time-series of indicators using CUSUM control charts , 2009 .

[25]  Pierre Petitgas,et al.  The CUSUM out-of-control table to monitor changes in fish stock status using many indicators , 2009 .

[26]  Yong Chen,et al.  Assessing a stock assessment framework for the green sea urchin Strongylocentrotus drobachiensis fishery in Maine, USA , 2005 .

[27]  J. Link Translating ecosystem indicators into decision criteria , 2005 .

[28]  D. Hawkins Self‐Starting Cusum Charts for Location and Scale , 1987 .

[29]  Carl J. Walters,et al.  Empirical and theoretical analyses of correction of time-series bias in stock-recruitment relationships of sockeye salmon (Oncorhynchus nerka) , 1995 .

[30]  Julia L. Blanchard,et al.  Trend analysis of indicators: a comparison of recent changes in the status of marine ecosystems around the world , 2010 .

[31]  Ludwig von Bertalanffy Untersuchungen ber die Gesetzlichkeit des Wachstums: I. Teil: Allgemeine Grundlagen der Theorie; Mathematische und physiologische Gesetzlichkeiten des Wachstums bei Wassertieren , 1934 .

[32]  James P. Scandol,et al.  Use of cumulative sum (CUSUM) control charts of landed catch in the management of fisheries , 2003 .

[33]  K. Frank,et al.  Growth of cod (Gadus morhua) estimated from mark-recapture programs on the Scotian Shelf and adjacent areas , 1997 .

[34]  David G. Reid,et al.  Interpreting the large fish indicator for the Celtic Sea , 2011 .

[35]  Martin Bland,et al.  An Introduction to Medical Statistics , 1987 .

[36]  Benoit Mesnil,et al.  An evaluation of the implicit management procedure used for some ICES roundfish stocks , 2005 .

[37]  A de Vries,et al.  Design and performance of statistical process control charts applied to estrous detection efficiency. , 2003, Journal of dairy science.

[38]  J K Reneau,et al.  Water intake and dry matter intake changes as a feeding management tool and indicator of health and estrus status in dairy cows. , 2008, Journal of dairy science.

[39]  André E. Punt,et al.  Assessing the Information Content of Catch-in-Numbers: A Simulation Comparison of Catch and Effort Data Sets , 2005 .

[40]  Simon Jennings,et al.  Reference points and reference directions for size-based indicators of community structure , 2005 .

[41]  Rainer Froese,et al.  FishBase. World Wide Web electronic publication. , 2014 .

[42]  Nicholas K Dulvy,et al.  Biology of extinction risk in marine fishes , 2005, Proceedings of the Royal Society B: Biological Sciences.

[43]  André E. Punt,et al.  Which ecological indicators can robustly detect effects of fishing , 2005 .

[44]  J. Lloret,et al.  Variation in Growth and Recruitment of Atlantic Cod (Gadus morhua) off Greenland During the Second Half of the Twentieth Century , 1999 .

[45]  André E. Punt,et al.  Length-Based Reference Points for Data-Limited Situations: Applications and Restrictions , 2009 .

[46]  Simon Jennings,et al.  Testing candidate indicators to support ecosystem-based management: the power of monitoring surveys to detect temporal trends in fish community metrics , 2004 .

[47]  J. Scandol,et al.  Use of Quality Control Methods to Monitor the Status of Fish Stocks , 2005 .

[48]  Douglas C. Montgomery,et al.  Introduction to Statistical Quality Control , 1986 .

[49]  B. J. Conlin,et al.  A comparison of the performance of statistical quality control charts in a dairy production system through stochastic simulation , 2005 .

[50]  J. Caddy,et al.  Current usage of fisheries indicators and reference points, and their potential application to management of fisheries for marine invertebrates , 2004 .

[51]  R Core Team,et al.  R: A language and environment for statistical computing. , 2014 .

[52]  André E. Punt,et al.  Reconciling Approaches to the Assessment and Management of Data-Poor Species and Fisheries with Australia's Harvest Strategy Policy , 2009 .

[53]  John G. Field,et al.  Using size-based indicators to evaluate the ecosystem effects of fishing , 2005 .

[54]  D. Bamber The area above the ordinal dominance graph and the area below the receiver operating characteristic graph , 1975 .