1 SUPPORTING INFORMATION 2 Table S1. Nutritional composition of dietary ingredients (% dry mass, crude protein and fiber) and percent composition of ingredients in diets 3 fed to captive-reared Canada and snow goose goslings. These eight grass-based diets were a factorial combination of protein (3 levels, High HP, 4 Medium MP, and Low LP) and fiber (2 levels, Low LF and High HF). Nutrient (%) 5 1 Diet Recipe (%) Ingredient IFN No.2 Protein Fiber Beet sugar 3-00-660 0 Soybean meal 5-20-637 Grass hay VHP/LF VHP/HF HP/LF HP/HF MP/LF MP/HF LP/LF LP/HF 0 5∙2 1 9∙2 1 22∙3 11∙9 32∙7 19∙4 44 6 56∙8 47 25∙8 35∙2 13∙7 22∙6 1∙3 13∙6 1-03-428 13-17 63-74 26 15∙5 21 15 25 21 29 15 Wheat-mids 4-28-220 17 3 10 0∙5 35 1 35 1 35 1 Oat hulls 1-03-281 4 78 1 35 8 46∙8 3 42∙5 1 50 1 1 1 1 1 1 1 1 Vitamin Mix3 6 1 7 compositions of the grass hay (six samples) were directly measured (see methods). Complete nutrient composition of each diet was directly Protein and fiber content (% dry mass) of all ingredients except the grass hay are from National Research Council (1982). Nutrient 8 measured (see Table 1). Given the nutrient composition of the ingredients used to construct diets (Table S1), it was not possible to formulate the 9 very high protein diet with as high fiber as the other high-fiber diets (Table 1). 10 2 International feed numbers from the National Research Council (1982). 11 3 Standard vitamin and mineral premix formulated for domestic geese (Table 25 in Summers & Leeson (1985). 12 2 13 Table S2. Mean (± SE) fitted parameters for mass (g), culmen length (mm) and diagonal tarsal length (mm) generated by the logistic growth 14 model of captive-reared Canada goose goslings fed grass-based diets consisting of a factorial combination of protein (3 levels, High HP, 15 Medium MP, and Low LP) and fiber (2 levels, High HF and Low LF). Logistic growth model of the form W = A/(1 + be-kt), were A is the 16 asymptotic mass for females and males, separately, k is the growth rate constant, and b is the limit (b = (A – initial mass) / initial mass). Values 17 within a column followed by the same letter for each parameter estimate are not significantly different, denoted by lower case letters if genders 18 were analyzed separately or upper case for genders combined (ANOVA, Fisher’s Protected LSD multiple mean comparison). Significant 19 differences in the asymptote between the genders for each diet treatment are indicated by * at P<0∙05 and ** at P<0∙01. Asymptote (A) Protein Fiber N (F:M) Low 10 (5:5) High Female Pseudo 2 Male k b R 2978 ± 60a 3185 ± 131ab 0∙128 ± 0∙004A 29∙20 ± 0∙99A 0∙989 - 0∙999 13 (7:6) 2680 ± 61ab 3042 ± 151ab* 0∙117 ± 0∙003B 28∙26 ± 1∙13AB 0∙993 - 0∙999 Medium Low 10 (5:5) 2772 ± 124 AB 0∙995 - 0∙999 High 15 (7:8) 2510 ± 74 ABC 0∙998 - 0∙997 Mass High 20 ab b a** AB 28∙42 ± 1∙96 C 26∙70 ± 1∙07 3320 ± 139 0∙121 ± 0∙003 b* 0∙103 ± 0∙002 2877 ± 93 3 Low 9 (5:4) 2154 ± 235c 2743 ± 144b** 0∙079 ± 0∙003D 23∙73 ± 1∙91C 0∙978 – 0∙999 High 10 (3:7) 1846 ± 207c 3014 ± 156ab** 0∙075 ± 0∙004D 27∙13 ± 2∙14BC 0∙984 – 0∙999 Low 10 (5:5) 49∙2 ± 0∙9 55∙5 ± 2∙1 0∙061 ± 0∙002 A 1∙92 ± 0∙05 0∙995 – 1∙000 High 13 (7:6) 50∙5 ± 0∙8 52∙4 ± 1∙9A** 0∙054 ± 0∙002B 1∙85 ± 0∙05 0∙997 – 0∙999 Medium Low 10 (5:5) 49∙9 ± 1∙4 53∙5 ± 1∙3 0∙059 ± 0∙002 AB 1∙93 ± 0∙06 0∙998 – 0∙999 High 15 (7:8) 47∙3 ± 1∙3 52∙0 ± 0∙8A 0∙056 ± 0∙002AB 1∙82 ± 0∙05 0∙997 – 0∙999 Low 9 (5:4) 47∙3 ± 1∙4 53∙6 ± 1∙7 0∙039 ± 0∙002 C 1∙86 ± 0∙10 0∙997 – 0∙999 High 10 (3:7) 44∙5 ± 1∙6 53∙3 ± 2∙1A** 0∙039 ± 0∙002C 1∙90 ± 0∙10 0∙996 – 0∙999 Low 10 (5:5) 98∙4 ± 3∙3 106∙9 ± 3∙3A* 0∙087 ± 0∙003A 1∙84 ± 0∙05 0∙996 – 0∙999 High 13 (7:6) 96∙0 ± 1∙6 102∙9 ± 2∙3A* 0∙075 ± 0∙003B 1∙77 ± 0∙05 0∙994 – 0∙999 Medium Low 10 (5:5) 95∙5 ± 2∙3 102∙5 ± 1∙2A* 0∙090 ± 0∙003A 1∙79 ± 0∙06 0∙996 – 0∙999 High 15 (7:8) 92∙1 ± 1∙3 96∙7 ± 1∙1B 0∙085 ± 0∙003A 1∙65 ± 0∙05 0∙997 – 0∙999 Low 9 (5:4) 95∙3 101∙6 0∙044 ± 0∙002 C 1∙80 ± 0∙06 0∙989 – 0∙997 High 10 (3:7) 95∙3 101∙6 0∙043 ± 0∙003C 1∙77 ± 0∙05 0∙984 – 0∙999 Low Culmen High Low A** A A* Tarsus High Low 21 1 4 22 1 23 goslings were still growing at the end of the study. Asymptote for low protein diet groups were forced to the mean of the high and medium protein groups for each gender separately because 5 24 Table S3. Mean (± SE) fitted parameters for mass (g), culmen length (mm) and diagonal tarsal length (mm) generated by the logistic growth 25 model of captive-reared Lesser Snow goose goslings fed grass-based diets consisting of a factorial combination of protein (3 levels, High HP, 26 Medium MP, and Low LP) and fiber (2 levels, Low LF and High HF). Logistic growth model of the form W = A/(1 + be-kt), were A is the 27 asymptotic mass for female and males, separately, k is the growth rate constant, and b is the limit (b = (A – initial mass) / initial mass). Values 28 within a column followed by the same letter for each parameter estimate are not significantly different, denoted by lower case letters if genders 29 were analyzed separately or upper case for genders combined (ANOVA, Fisher’s Protected LSD multiple mean comparison). Significant 30 differences in the asymptote between the genders for each diet treatment are indicated by * at P<0∙05 and ** at P<0∙01. Asymptote (A) Pseudo Fiber N (F:M) Female Male Low 10 (3:7) 1542 ± 173 1748 ± 107 0∙146 ± 0∙004 High 8 (3:5) 1517 ± 137 1966 ± 100A* Medium Low 4 (2:2) 1651 ± 113 2133 ± 89 High 5 (2:3) 1418 ± 23 1652 ± 192 Protein b R2 A 19∙32 ± 1∙69 0∙990 – 0∙998 0∙136 ± 0∙007A 19∙63 ± 1∙68 0∙992 – 0∙998 k Mass High 31 A A* 0∙148 ± 0∙014 A 20∙27 ± 3∙21 0∙996 – 0∙999 A 0∙134 ± 0∙004 A 19∙75 ± 2∙99 0∙979 – 0∙997 32 6 Low 984 1749 ± 288A* 0∙072 ± 0∙001B 17∙38 ± 2∙78 0∙992 – 0∙996 1099 0∙077 13∙66 0∙992 – 0∙992 Low 3 (1:2) High 1 (0:1) Low 10 (3:7) 54∙0 ± 4∙6 56∙4 ± 1∙9 0∙063 ± 0∙003 High 8 (3:5) 55∙7 ± 1∙8 59∙1 ± 1∙4A 0∙056 ± 0∙003AB Medium Low 4 (2:2) 55∙0 ± 5∙0 61∙0 ± 2∙4 0∙062 ± 0∙007 High 5 (2:3) 53∙2 ± 0∙4 54∙6 ± 1∙3A 0.060 ± 0∙003AB Low 3 (1:2) 41∙3 58∙5 ± 4∙1 0∙043 ± 0∙007 High 1 (0:1) 53∙0 Low 10 (3:7) 89∙3 ± 2∙3 High 8 (3:5) Medium Low Culmen High Low A A 1∙88 ± 0∙09 0∙997 – 0∙999 1∙98 ± 0∙08 0∙998 – 0∙999 1∙95 ± 0∙13 0∙998 – 0∙999 1∙85 ± 0∙06 0∙998 – 0∙999 1∙84 ± 0∙14 0.998 – 0∙999 0∙041 1∙70 0∙998 – 0∙998 86∙0 ± 1∙5A 0∙098 ± 0∙005A 1∙46 ± 0∙05 0∙996 – 0∙999 89∙5 ± 1∙8 91∙4 ± 2∙2A 0∙089 ± 0∙007A 1∙52 ± 0∙06 0∙995 – 0∙998 4 (2:2) 87∙1 ± 0∙7 93∙1 ± 2∙5 0∙100 ± 0∙010 A 1∙45 ± 0∙08 0∙996 – 0∙999 High 5 (2:3) 84∙6 ± 0∙1 91∙8 ± 1∙2A* 0∙091 ± 0∙005A 1∙56 ± 0∙05 0∙995 – 0∙998 Low 3 (1:2) 89∙5 88∙0 0∙039 ± 0∙001 B 1∙45 ± 0∙11 0∙991 – 0∙999 High 1 (0:1) 88∙0 0∙039 1∙44 0∙996 – 0∙996 A A** A B Tarsus High Low 33 A 7 34 1 35 goslings were still growing at the end of the study. Asymptote for low protein diet groups were forced to the mean of the high and medium protein groups for each gender separately because 36 8 37 Supplemental Information – References 38 39 40 41 42 43 National Research Council (1982) Nutrient requirements of poultry: nutritional data for the United States and Canada feeds. National Academies Press, Washington, D.C. Summers, J.D. & Leeson, S. (1985) Broiler carcass composition as affected by amino acid supplementation. Canadian Journal of Animal Science, 65, 717-723.