A life-table metamodel to support management of data deficient species, exemplified in sturgeons and shads. Electronic Supplementary Material

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1 A life-table metamodel to support management of data deficient species, exemplified in sturgeons and shads Electronic Supplementary Material Ivan Jarić 1,2*, Jörn Gessner 1 and Mirjana Lenhardt 3 1 Leibniz-Institute of Freshwater Ecology and Inland Fisheries, Müggelseedamm 310, Berlin, Germany 2 Institute for Multidisciplinary Research, University of Belgrade, Kneza Viseslava 1, Belgrade, Serbia 3 Institute for Biological Research, University of Belgrade, Despota Stefana 142, Belgrade, Serbia * Author to whom correspondence should be addressed: Kneza Viseslava 1, Belgrade, Serbia, phone: , fax: , jaric@igb-berlin.de; ijaric@imsi.rs; ijaric@imsi.bg.ac.rs 1

2 Life history parameters used for sturgeon and shad model parameterization Table S1 Life history setup combinations used for different sturgeon and shad model scenarios, based on r- and K-selected life history types (Pianka 1970; Holčik 1989; Jarić et al. 2010; Froese and Pauly 2015). Life history parameter Sturgeons Shads r-selection endpoint K-selection endpoint r-selection endpoint K-selection endpoint Longevity Min (short lifespan) Max (long lifespan) Min (short lifespan) Max (long lifespan) Age at first maturity Min (early maturity) Max (delayed maturity) Min (early maturity) Max (delayed maturity) Spawning interval Min (frequent spawning) Max (long intervals) Min (frequent spawning) Max (long intervals) Length at infinity (L ) Min (small body size) Max (large body size) / Growth coefficient (K) Max (faster growth) Min (slower growth) / Theoretical age at length zero (t 0 ) Varies randomly among scenarios (continuous uniform distribution) / Body weight / age ratio (WA) Min (small body size) Max (large body size) / Body weight / total Min (small body size) Max (large body size) / length ratio (WL) Gonadosomatic index Varies randomly among scenarios (normal / (GSI) distribution) Ovarian tissue to gonad Constant value / weight ratio (OT) Egg weight Varies randomly among scenarios (continuous uniform distribution) / Fecundity (ρ i ) / Min (lower fecundity) Max (higher fecundity) 2

3 Intrinsic population Max (higher population Min (lower population Max (higher population Min (lower population growth rate (r) growth rate) growth rate) growth rate) growth rate) Adult survival Min (lower survival) Max (higher survival) Min (lower survival) Max (higher survival) Subadult survival Min (lower survival) Max (higher survival) Min (lower survival) Max (higher survival) YOY survival Varies randomly among scenarios (continuous uniform distribution) Varies randomly among scenarios (continuous uniform distribution) 3

4 Abbreviations: S x Survival rate at age x M x - Proportion mature at age x SI x Spawning interval at age x WA - Body weight / age ratio WL - Body weight / total length ratio GSI x Mean gonadosomatic index at age x OT - Ovarian tissue to gonad weight ratio SR Sex ratio W egg Mean egg weight (mg) VB Von Bertalanffy growth equation [L x (1-e -K(x-t0) )] F Mean fecundity x Age class m x Fecundity at age x l x Cumulative survival at age x R 0 - Net reproductive rate T - Population generation time r - Intrinsic instantaneous population growth rate Life tables Equations: Simplified fecundity in sturgeons: m x = x x M x 1/SI x WA x GSI x (1-OT) x SR x (1/W egg x 10 6 ) Fecundity in sturgeons with length-at-age relationship: m x = x x M x 1/SI x WL x VB x GSI x (1-OT) x SR x (1/W egg x 10 6 ) Fecundity in shads: m x = M x 1/SI x SR x F l x = l x-1 x S x-1 R 0 = Σ l x m x T = (Σ xl x m x ) / R 0 r = ln R 0 / T 4

5 Life table 1 Life table of a sturgeon species at the r-selection endpoint, used in scenarios with simplified sturgeon fecundity estimation. Age S x M x SI x WA GSI x OT SR W egg x m x l x l x m x xl x m x R T r E E E E E E E E E E E E E E E E E E E E E E E E E E

6 Life table 2 Life table of a sturgeon species at the r-selection endpoint, used in scenarios with sturgeon fecundity estimated by lengthat-age relationship. Age S x M x SI x WL GSI x OT SR W egg x m x l x l x m x xl x m x R T E r E E VB E x ( E x (x + e E ) ) E E E E E E E E E E E E E E E E E E E E E

7 Life table 3 Life table of a sturgeon species at the K-selection endpoint, used in scenarios with simplified sturgeon fecundity estimation. Age S x M x SI x WA GSI x OT SR W egg x m x l x l x m x xl x m x R T r E E E E E E E E E E E E E E E E E E E E E E E E E

8 Life table 4 Life table of a sturgeon species at the K-selection endpoint, used in scenarios with sturgeon fecundity estimated by length-at-age relationship. Age S x M x SI x WL GSI x OT SR W egg x m x l x l x m x xl x m x R T r E E VB E x ( E x (x + e E ) ) E E E E E E E E E E E E E E E E E E E E

9 Life table 5 Life table of a shad species at the r-selection endpoint. Age S x M x SI x F SR x m x l x l x m x xl x m x R , T , E , E r , E

10 Life table 6 Life table of a shad species at the K-selection endpoint. Age S x M x SI x F SR x m x l x l x m x xl x m x R T E E r , E , E , E , E , E , E , E , E , E , E , E , E , E

11 References: Froese R, Pauly D (eds) (2015) FishBase. World Wide Web electronic publication, version 02/ Accessed 30 April 2015 Holčik J (ed) (1989) The freshwater fishes of Europe. AULA Verlag, Wiesbaden, Germany Pianka ER (1970) On r- and K-selection. Am Nat 104(940): Jarić I, Ebenhard T, Lenhardt M (2010) Population viability analysis of the Danube sturgeon populations in a VORTEX simulation model. Rev Fish Biol Fisher 20(2):

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