GROWTH_ZOOP ¼ GRAPH(ALGAE )
(0.00, 0.00), (10.0, 0.1), (20.0, 0.195), (30.0, 0.3), (40.0, 0.4), (50.0, 0.5), (60.0,
0.6), (70.0, 0.7), (80.0, 0.8), (90.0, 0.895), (100, 0.99)
LARGE_PRED_BIO ¼ ADULT+LATE_JUV+YEARLING {prey for adults}
LARVAL_GROWTH ¼ GRAPH(LARVAL/ZOOP)
(0.00, 0.995), (10.0, 0.845), (20.0, 0.755), (30.0, 0.65), (40.0, 0.575), (50.0, 0.475),
(60.0, 0.365), (70.0, 0.295), (80.0, 0.255), (90.0, 0.215), (100, 0.155)
LARVAL_PRED ¼ GRAPH(JUV_PRED)
(0.00, 2.00), (10.0, 4.50), (20.0, 9.50), (30.0, 19.5), (40.0, 30.5), (50.0, 39.0), (60.0,
49.5), (70.0, 62.0), (80.0, 75.0), (90.0, 87.0), (100, 97.5)
PREDATOR_GROW ¼ GRAPH(SMALL_PRED_BIO)
(0.00, 0.098), (10.0, 0.0785), (20.0, 0.06), (30.0, 0.043), (40.0, 0.0005), (50.0,
0.0005), (60.0, 0.0005), (70.0, 0.0005), (80.0, 0.00), (90.0, 0.00), (100, 0.00)
PRED_DEATH ¼ GRAPH(LARGE_PRED_BIO)
(0.00, 0.055), (100, 0.05), (200, 0.0275), (300, 0.02), (400, 0.015), (500, 0.0117),
(600, 0.01), (700, 0.009), (800, 0.0081), (900, 0.0075), (1000, 0.0072)
PRED_RATE ¼ GRAPH(PREDATOR )
(0.00, 0.02), (10.0, 0.115), (20.0, 0.195), (30.0, 0.26), (40.0, 0.365), (50.0, 0.465),
(60.0, 0.57), (70.0, 0.685), (80.0, 0.785), (90.0, 0.9), (100, 0.99)
REGULATION_STRENGTH ¼ 1
REPROD ¼ ADULT+(LARGE_ADULT * 1.2)
SEASONAL_SHIFT ¼ 1ÀPULSE(1,8,52)
SEVERITY ¼ .1 {reflects year to year variation in winter severity and subsequent
winter kill}
SEVERITY_6 ¼ RANDOM(.1,.01)
SHAD_BIOMASS ¼ IF ZOOP > 2 * TOTAL_POPULATION THEN ((LARVAL * .05)+(EARLY_JUV * 3)+(LATE_JUV * 10)+((YEARLING * 30)
+(ADULT * 100)+(LARGE_ADULT * 200)) * .001) * .7 ELSE (LARVAL * .05)
+(EARLY_JUV * 3)+(LATE_JUV * 3)
SIZE_RATE ¼ LARVAL_PRED * .5
SIZE_RATE_2 ¼ SMALL_PRED_RATE * .5
SIZE_RATE_3 ¼ (SMALL_PRED_RATE * .5)+(PRED_RATE * .5)
SIZE_RATE_4 ¼ PRED_RATE * .125
SIZE_RATE_5 ¼ PRED_RATE * .01
SMALL_PRED_BIO ¼ LARVAL+EARLY_JUV+(LATE_JUV * .5){prey for
small predators}
SMALL_PRED_DIE ¼ GRAPH(LARVAL+EARLY_JUV )
(0.00, 0.0975), (100, 0.0645), (200, 0.037), (300, 0.0225), (400, 0.012), (500, 0.00),
(600, 0.00), (700, 0.00), (800, 0.00), (900, 0.00), (1000, 0.00)
SMALL_PRED_RATE ¼ GRAPH(JUV_PRED)
(0.00, 0.015), (10.0, 0.1), (20.0, 0.175), (30.0, 0.275), (40.0, 0.375), (50.0, 0.485),
(60.0, 0.61), (70.0, 0.715), (80.0, 0.83), (90.0, 0.92), (100, 1.00)
SURVIVAL ¼ .008 {reflects year to year variation in egg survival due to flooding}
TIMING ¼ 52 {Weeks}
346
37 Recruitment and Trophic Dynamics of Gizzard Shad
(0.00, 0.00), (10.0, 0.1), (20.0, 0.195), (30.0, 0.3), (40.0, 0.4), (50.0, 0.5), (60.0,
0.6), (70.0, 0.7), (80.0, 0.8), (90.0, 0.895), (100, 0.99)
LARGE_PRED_BIO ¼ ADULT+LATE_JUV+YEARLING {prey for adults}
LARVAL_GROWTH ¼ GRAPH(LARVAL/ZOOP)
(0.00, 0.995), (10.0, 0.845), (20.0, 0.755), (30.0, 0.65), (40.0, 0.575), (50.0, 0.475),
(60.0, 0.365), (70.0, 0.295), (80.0, 0.255), (90.0, 0.215), (100, 0.155)
LARVAL_PRED ¼ GRAPH(JUV_PRED)
(0.00, 2.00), (10.0, 4.50), (20.0, 9.50), (30.0, 19.5), (40.0, 30.5), (50.0, 39.0), (60.0,
49.5), (70.0, 62.0), (80.0, 75.0), (90.0, 87.0), (100, 97.5)
PREDATOR_GROW ¼ GRAPH(SMALL_PRED_BIO)
(0.00, 0.098), (10.0, 0.0785), (20.0, 0.06), (30.0, 0.043), (40.0, 0.0005), (50.0,
0.0005), (60.0, 0.0005), (70.0, 0.0005), (80.0, 0.00), (90.0, 0.00), (100, 0.00)
PRED_DEATH ¼ GRAPH(LARGE_PRED_BIO)
(0.00, 0.055), (100, 0.05), (200, 0.0275), (300, 0.02), (400, 0.015), (500, 0.0117),
(600, 0.01), (700, 0.009), (800, 0.0081), (900, 0.0075), (1000, 0.0072)
PRED_RATE ¼ GRAPH(PREDATOR )
(0.00, 0.02), (10.0, 0.115), (20.0, 0.195), (30.0, 0.26), (40.0, 0.365), (50.0, 0.465),
(60.0, 0.57), (70.0, 0.685), (80.0, 0.785), (90.0, 0.9), (100, 0.99)
REGULATION_STRENGTH ¼ 1
REPROD ¼ ADULT+(LARGE_ADULT * 1.2)
SEASONAL_SHIFT ¼ 1ÀPULSE(1,8,52)
SEVERITY ¼ .1 {reflects year to year variation in winter severity and subsequent
winter kill}
SEVERITY_6 ¼ RANDOM(.1,.01)
SHAD_BIOMASS ¼ IF ZOOP > 2 * TOTAL_POPULATION THEN ((LARVAL * .05)+(EARLY_JUV * 3)+(LATE_JUV * 10)+((YEARLING * 30)
+(ADULT * 100)+(LARGE_ADULT * 200)) * .001) * .7 ELSE (LARVAL * .05)
+(EARLY_JUV * 3)+(LATE_JUV * 3)
SIZE_RATE ¼ LARVAL_PRED * .5
SIZE_RATE_2 ¼ SMALL_PRED_RATE * .5
SIZE_RATE_3 ¼ (SMALL_PRED_RATE * .5)+(PRED_RATE * .5)
SIZE_RATE_4 ¼ PRED_RATE * .125
SIZE_RATE_5 ¼ PRED_RATE * .01
SMALL_PRED_BIO ¼ LARVAL+EARLY_JUV+(LATE_JUV * .5){prey for
small predators}
SMALL_PRED_DIE ¼ GRAPH(LARVAL+EARLY_JUV )
(0.00, 0.0975), (100, 0.0645), (200, 0.037), (300, 0.0225), (400, 0.012), (500, 0.00),
(600, 0.00), (700, 0.00), (800, 0.00), (900, 0.00), (1000, 0.00)
SMALL_PRED_RATE ¼ GRAPH(JUV_PRED)
(0.00, 0.015), (10.0, 0.1), (20.0, 0.175), (30.0, 0.275), (40.0, 0.375), (50.0, 0.485),
(60.0, 0.61), (70.0, 0.715), (80.0, 0.83), (90.0, 0.92), (100, 1.00)
SURVIVAL ¼ .008 {reflects year to year variation in egg survival due to flooding}
TIMING ¼ 52 {Weeks}
346
37 Recruitment and Trophic Dynamics of Gizzard Shad