Ecological Archives E094-179-A1

Aaron C. Hartmann, Kristen L. Marhaver, Valérie F. Chamberland, Stuart A. Sandin, Mark J. A. Vermeij. 2013. Large birth size does not reduce negative latent effects of harsh environments across life stages in two coral species. Ecology 94:1966–1976. http://dx.doi.org/10.1890/13-0161.1

Appendix A. Parameter estimations and maximum-likelihood values for experiments depicted in Figs. 1–3.

Table A1. The suite of multi-parameter models used to determine the best fit for all larval survivorship and settlement data. A broader suite of models was used from which it was determined that in no instances did high temperature or low salinity larval environmental treatments elicit statistically distinct responses, therefore these treatments were combined into a harsh environmental treatment group (H) for comparison against the ambient environmental treatment (A). Large and small larval size classes are denoted as (L) and (S), respectively. The models include: a single-parameter (null) model, single deviant two-parameter models in which a single size/environment is compared against all others, single factor two-parameter models independently comparing size and larval environmental treatments, a multiplicative three-parameter factorial model, and a saturated four-parameter model.

Model

Params.

aLA

aSA

aLH

aSH

Null

1

ao

ao

ao

ao

Single Deviant (Large/Ambient)

2

a1

a2

a2

a2

Single Deviant (Small/Ambient)

2

a2

a1

a2

a2

Single Deviant (Large/Harsh)

2

a2

a2

a1

a2

Single Deviant (Small/Harsh)

2

a2

a2

a2

a1

Single Factor (Size)

2

a1

a2

a1

a2

Single Factor (Environment)

2

a1

a1

a2

a2

Factorial

3

ao

aoa1

aoa2

aoa1a2

Saturated

4

a1

a2

a3

a4

 

Table A2. Parameter estimation of the probability that A. humilis and M. faveolata larvae survived the six-day larval period. The parameters and maximum likelihood (ML) of the best-fit model are in bold and non-statistically distinct models with an equal number of parameters are italicized. Graphical representations of the raw data are presented in Fig. 1.

 

 

A. humilis

M. faveolata

Model

Params.

aLA

aSA

aLH

aSH

ML

aLA

aSA

aLH

aSH

ML

Null

1

0.993

0.993

0.993

0.993

11.11

0.800

0.800

0.800

0.800

162.33

Large/Ambient

2

0.999

0.992

0.992

0.992

10.53

0.889

0.779

0.779

0.779

153.16

Small/Ambient

2

0.992

0.999

0.992

0.992

10.68

0.811

0.752

0.811

0.811

160.01

Large/Harsh

2

0.989

0.989

0.999

0.989

9.85

0.756

0.756

0.880

0.756

145.32

Small/Harsh

2

0.999

0.999

0.999

0.975

7.45

0.850

0.850

0.850

0.667

134.70

Size

2

0.999

0.984

0.999

0.984

8.77

0.883

0.702

0.883

0.702

125.04

Environment

2

0.999

0.999

0.990

0.990

9.95

0.820

0.820

0.788

0.788

161.19

Factorial

3

0.999

0.985

0.998

0.984

8.87

0.901

0.716

0.872

0.693

124.06

Saturated

4

0.999

0.999

0.999

0.975

7.45

0.889

0.752

0.880

0.667

122.18

 

Table A3. Parameter estimation of the probability that A. humilis and M. faveolata larvae had settled after four days (A. humilis) and fourteen days (M. faveolata). The parameters and maximum likelihood (ML) of the best-fit model are in bold and non-statistically distinct models with an equal number of parameters are italicized. Graphical representations of the raw data are presented in Fig. 2.

 

 

A. humilis

M. faveolata

Model

Params.

aLA

aSA

aLH

aSH

ML

aLA

aSA

aLH

aSH

ML

Null

1

0.257

0.257

0.257

0.257

69.31

0.064

0.064

0.064

0.064

34.21

Large/Ambient

2

0.483

0.212

0.212

0.212

60.58

0.117

0.053

0.053

0.053

32.77

Small/Ambient

2

0.248

0.300

0.248

0.248

68.97

0.077

0.001

0.077

0.077

29.92

Large/Harsh

2

0.264

0.264

0.244

0.264

69.22

0.042

0.042

0.108

0.042

31.43

Small/Harsh

2

0.314

0.314

0.314

0.122

61.24

0.083

0.083

0.083

0.025

31.56

Size

2

0.318

0.186

0.318

0.186

65.11

0.318

0.186

0.318

0.186

26.74

Environment

2

0.392

0.392

0.190

0.190

61.08

0.058

0.058

0.067

0.067

34.16

Factorial

3

0.496

0.282

0.236

0.134

56.08

0.103

0.015

0.115

0.017

26.70

Saturated

4

0.483

0.300

0.244

0.122

55.91

0.117

0.001

0.108

0.025

25.56

 

Table A4. Parameter estimation of the probability that A. humilis settlers survived after 78 and 145 days in situ. The parameters and maximum likelihood (ML) of the best-fit model are in bold and non-statistically distinct models with an equal number of parameters are italicized. Graphical representations of the raw data are presented in Fig. 3.

 

 

Day 78

Day 145

Model

Params.

aLA

aSA

aLH

aSH

ML

aLA

aSA

aLH

aSH

ML

Null

1

0.175

0.175

0.175

0.175

22.16

0.113

0.113

0.113

0.113

14.81

Large/Ambient

2

0.370

0.075

0.075

0.075

17.04

0.259

0.038

0.038

0.038

10.64

Small/Ambient

2

0.215

0.001

0.215

0.215

18.95

0.138

0.001

0.138

0.138

12.83

Large/Harsh

2

0.222

0.222

0.077

0.222

20.72

0.148

0.148

0.039

0.148

13.57

Small/Harsh

2

0.177

0.177

 0.177

0.167

22.16

0.118

0.118

0.118

0.083

14.75

Size

2

0.226

0.074

0.226

0.074

20.55

0.151

0.037

0.151

0.037

13.44

Environment

2

0.238

0.238

0.105

0.105

20.90

0.167

0.167

0.053

0.053

13.43

Factorial

3

0.331

0.097

0.131

0.038

18.83

0.236

0.053

0.068

0.015

11.78

Saturated

4

0.370

0.001

0.077

0.167

15.34

0.259

0.001

0.039

0.083

9.82


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