SUSTAINABLE FISHERIES MANAGEMENT PROJECT (SFMP) Training Course Curriculum on Fish Stock Assessment Methods Summary JULY, 2015 This publication is available electronically in the following locations: The Coastal Resources Center http://www.crc.uri.edu/projects_page/ghanasfmp/ Ghanalinks.org https://ghanalinks.org/elibrary search term: SFMP USAID Development Clearing House https://dec.usaid.gov/dec/content/search.aspx search term: Ghana SFMP For more information on the Ghana Sustainable Fisheries Management Project, contact: USAID/Ghana Sustainable Fisheries Management Project Coastal Resources Center Graduate School of Oceanography University of Rhode Island 220 South Ferry Rd. Narragansett, RI 02882 USA Tel: 401-874-6224 Fax: 401-874-6920 Email: [email protected] Citation: Lazar, N. (2015). Training Course Curriculum on Fish Stock Assessment Methods Summary. The USAID/Ghana Sustainable Fisheries Management Project (SFMP). Narragansett, RI: Coastal Resources Center, Graduate School of Oceanography, University of Rhode Island GH2014_SCI073_CRC_Summary 26 pp. Authority/Disclaimer: Prepared for USAID/Ghana under Cooperative Agreement (AID-641-A-15-00001), awarded on October 22, 2014 to the University of Rhode Island, and entitled the USAID/Ghana Sustainable Fisheries Management Project (SFMP). This document is made possible by the support of the American People through the United States Agency for International Development (USAID). The views expressed and opinions contained in this report are those of the SFMP team and are not intended as statements of policy of either USAID or the cooperating organizations. As such, the contents of this report are the sole responsibility of the SFMP team and do not necessarily reflect the views of USAID or the United States Government. Cover photo: Ghana fisheries landing sit i Detailed Partner Contact Information: USAID/Ghana Sustainable Fisheries Management Project (SFMP) 10 Obodai St., Mempeasem, East Legon, Accra, Ghana Telephone: +233 0302 542497 Fax: +233 0302 542498 Maurice Knight Chief of Party [email protected] Kofi Agbogah Senior Fisheries Advisor [email protected] Nii Odenkey Abbey Communications Officer [email protected] Bakari Nyari Monitoring and Evaluation Specialist [email protected] Brian Crawford Project Manager, CRC [email protected] Ellis Ekekpi USAID AOR (acting) [email protected] Kofi.Agbogah Resonance Global [email protected] (formerly SSG Advisors Stephen Kankam 182 Main Street [email protected] Burlington, VT 05401 Hen Mpoano +1 (802) 735-1162 38 J. Cross Cole St. Windy Ridge Thomas Buck Takoradi, Ghana [email protected] 233 312 020 701 Victoria C. Koomson [email protected] Andre de Jager CEWEFIA [email protected] B342 Bronyibima Estate SNV Netherlands Development Organisation Elmina, Ghana #161, 10 Maseru Road, 233 024 427 8377 E. Legon, Accra, Ghana 233 30 701 2440 Lydia Sasu [email protected] Donkris Mevuta DAA Kyei Yamoah Darkuman Junction, Kaneshie Odokor Highway [email protected] Accra, Ghana Friends of the Nation 233 302 315894 Parks and Gardens Adiembra-Sekondi, Ghana 233 312 046 180 For additional information on partner activities: CRC/URI: http://www.crc.uri.edu CEWEFIA: http://cewefia.weebly.com/ DAA: http://womenthrive.org/developmentaction- association-daa Friends of the Nation: http://www.fonghana.org Hen Mpoano: http://www.henmpoano.org Resonance Global: https://resonanceglobal.com/ SNV:http://www.snvworld.org/en/countries/ghana i Acronyms BDM Biomass Dynamic Model BMSY Biomass that produces a Maximum Sustainable Yield FC Fisheries Commission FMSY Fishing Mortality that produces Maximum Sustainable Yield GoG Government of Ghana MOFAD Ministry of Fisheries and Aquaculture Development M Natural Mortality MSY Maximum Sustainable Yield SFMP Sustainable Fisheries Management Program SR Stock Recruitment SSB Stock Spawning Biomass URI University of Rhode Island USAID United States Agency for International Development YPR Yield Per Recruit VPA Virtual Population Analysis ii TABLE OF CONTENTS Acronyms ................................................................................................................................................... ii LIST OF FIGURES ................................................................................................................................... v LIST OF EQUATION .............................................................................................................................. vi SECTION 1: INTRODUCTION ............................................................................................................... 1 SECTION 2: FISH STOCK ASSESSMENT SYLLABUS....................................................................... 2 2.1 Introduction to stock assessment and fisheries management ........................................................... 2 2.2 Introduction to excel ........................................................................................................................ 2 2.3 Biostatistics Review ......................................................................................................................... 2 2.4 Fisheries surveys and sampling ....................................................................................................... 2 2.5 Fishing Gear Selectivity ............................................................................................................... 2 2.6 Estimation of Growth Parameters .................................................................................................... 3 2.7 Estimation of Fishing Mortality Rates ............................................................................................. 3 2.8 Yield Per-Recruit Analysis (YPR) ................................................................................................... 3 2.9 Biomass Dynamic Models ........................................................................................................... 3 2.10 Stock and Recruitment ................................................................................................................... 3 SECTION 3: STOCK ASSESSMENT AND FISHERIES MANAGEMENT: AN OVERVIEW ........... 3 3.1 Stock Assessment............................................................................................................................. 3 3.1.1 Fisheries Management .............................................................................................................. 4 SECTION 4: ESTIMATION OF GROWTH PARAMETERS ................................................................. 6 4.1 Introduction ...................................................................................................................................... 6 4.2 Estimating Weight ........................................................................................................................... 7 4.2.1 Estimating Growth Equation Parameters ................................................................................. 7 SECTION 5: ESTIMATION OF MORTALITY RATES ......................................................................... 8 SECTION 6: FISHING GEAR SELECTIVITY ....................................................................................... 3 6.1 Background ...................................................................................................................................... 3 6.2 General Theory ................................................................................................................................ 3 Logistic Cumulative Distribution Function ....................................................................................... 3 6.3 Normal Probability Distribution Function ....................................................................................... 4 SECTION 7: YIELD PER RECRUIT (YPR) ............................................................................................ 4 SECTION 8: BIOMASS DYNAMIC MODELS (BDM) ......................................................................... 6 8.1 Model framework ............................................................................................................................. 7 8.2 Fishing Effort Calibration ................................................................................................................ 9 iii SECTION 9: STOCK AND RECRUITMENT ......................................................................................... 9 SECTION 10: GROUP EXERCISE ........................................................................................................ 10 iv LIST OF FIGURES Figure 1: Example of typical parameterization of the VBGF fit to size-at-age ......................................... 6 Figure 2: The effect of the value of the growth coefficient (K) on the growth curve. .............................. 7 Figure 3: Schematic diagram of inputs and losses to a stock. ................................................................... 8 Figure 4: Probability of selection following a logistic cumulative distribution function. ......................... 3 Figure 5: Probability of selection following a logistic cumulative distribution function. ......................... 4 Figure 6: Effect of mortality rate on cohort biomass given a fixed growth rate. ....................................... 5 Figure 7: Yield per recruit (YPR) () and spawning stock biomass per recruit (SSBPR) (- - -) relationship. 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