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Table 4 The two best regression models and fit statistics for six categories of fish-based biological metrics across three hydrologic datasets; see Table 1 for definitions of the biological metrics (response variables) and Table 2 for definitions of the hydrologic metrics (explanatory variables)

From: Quantifying relations between altered hydrology and fish community responses for streams in Minnesota

Biological category and rank

Biological response metric regression equation

Pseudo-R2

Censored values (%)

Root mean square error (%)

a. Hydrologic dataset: period of record (metrics calculated using data from 1945WY through year of biological sample collection), n = 54

Composition1

Centr.TolTxPct = 29.8 + 74.5ml22 − 0798dh21 − 0.0649ra4

0.601

16.7

6.61

Composition2

SuckerCatPct = 0.287ma39 + 0.00621mh3 − 1.24ma35 − 9.14

0.520

1.90

11.0

Habitat1

WetlandTxPct = 12.2 + 41.0ml20 − 0.00408mh3 − 0.751ra9

0.516

11.1

6.51

Habitat2

LargeRiverTxPct = 0.00581mh3 + 0.147mh13 + 1.21ra9 − 45.7

0.460

14.8

11.0

Life History1

LLvdPct = 152 + 0.0269ml4 − 0.615fl2 − 214th3

0.504

0.00

16.4

Life History2

SLvdTxPct = 4.37dh14 + 0.0596ra4 − 16.2

0.388

13.0

8.64

Reproductive1

SSpnTxPct = 21.9 + 0.372ma25 − 3.31ma40 − 0.0933ra3

0.566

3.70

6.16

Reproductive2

CompLithTxPct = 62.1 − 0.00630mh10 − 0.292dh7 − 0.0638tl1

0.458

5.56

8.58

Tolerance1

IntolerantTxPct = 0.451ma34 − 0.669dh10 + 0.354dh22 − 62.7

0.788

20.4

5.10

Tolerance2

SensitiveTxPct = 2.47fh7 − 0.601dh10 + 0.595dh24 − 126

0.744

0.00

6.04

Trophic1

GenFrimTxPct = 176 − 1.92ma38 − 51.2dl14 − 0.819phase

0.594

0.00

6.17

Trophic2

DetPlnkTxPct = 3.05 − 0.465ma34 + 0.594dh10

0.590

0.00

6.44

b. Hydrologic dataset: long-term change (ratio of calculated metrics: 1981WY through year of biological sample/1945-79WY), n = 39

Composition1

Centr.TolTxPct = 31.9 − 3.05mh2 − 24.5fh2 + 11.5ra9

0.688

15.4

6.07

Composition2

Percfm.TolPct = 104dl15 − 35.6ml15 − 20.9

0.642

0.00

15.0

Habitat1

MorFnotSH20.TolTxPct = 48.8 − 4.02dl5 − 34.8dh9 + 5.30ta3

0.720

2.60

3.94

Habitat2

LargeRiverPct = 31.2ma31 + 31.3ml4 + 48.3dh10 − 119

0.697

23.1

7.49

Life History1

SLvdTxPct = 0.598 + 11.6ml8 − 12.9mh21 + 4.23tl1

0.551

10.3

7.03

Life History2

MgrTxPct = 24.5ma31 + 337ar1 − 101phase − 232

0.504

0.00

7.34

Reproductive1

NestNoLithTxPct = 66.9 − 30.2fh1 − 19.7th2 + 15.8ra9

0.620

0.00

5.66

Reproductive2

PSpnTxPct = 20.6ma24 + 20.4mh21 − 16.8tl2 + 10.2

0.583

0.00

7.02

Tolerance1

IntolerantTxPct = 143 − 12.0ml3 − 47.5dh8 − 62.0phase

0.760

20.5

6.01

Tolerance2

SensitiveTxPct = 104 − 21.4ma33 − 26.1ml20 − 10.8dl5

0.697

0.00

7.02

Trophic1

OmnivoreTxPct = 22.0ma32 + 8.61ml21 + 4.58dl1 − 30.6

0.696

5.10

4.44

Trophic2

SWCGenTolTxPct = 10.7mh6 + 17.4fh5 + 13.5th2 − 39.9

0.694

12.8

4.92

c. Hydrologic dataset: short-term change (ratio of calculated metrics: last 10WY including year of biological sample/POR), n = 48

Composition1

SuckerCatPct = 21.3ma14 + 17.9ma24 − 28.1fh10 − 5.19

0.561

2.08

10.2

Composition2

Centr.TolTxPct = 29.5ma6 − 31.2fh6 − 40.9dh14 + 58.6

0.555

18.8

7.37

Habitat1

MorFnotSH20TxPct = 136dh24 − 9.94tl2 − 26.5amplitude − 83.8

0.514

2.08

5.90

Habitat2

Wetland.TolTxPct = 21.2ma38 + 18.2dh9 + 21.3ta1 − 52.2

0.472

14.6

5.26

Life History1

MgrTxPct = 81.3 + 34.6ma31 − 16.8ma40 − 71.6phase

0.513

0.00

7.48

Life History2

SLvdTxPct = 96.9 − 27.5ma26 − 24.3dh23 − 29.5th3

0.431

12.5

8.00

Reproductive1

MA.3TxPct = 50.9ma26 − 22.3dl9 + 25.2dh23 − 15.7

0.498

0.00

11.0

Reproductive2

CompLithPct = 86.5 − 61.1ma32 + 41.8dh7 − 37.6dh23

0.489

6.25

19.8

Tolerance1

IntolerantTxPct = 126 − 37.4ma32 − 36.8ta2 -32.0th1

0.646

22.9

6.58

Tolerance2

SensitiveTxPct = 97.9 − 25.9ma32 − 10.1mh7 − 30.3ta2

0.544

0.00

7.86

Trophic1

OmnCypTxPct = 16.2ma32 − 6.18ma7 + 7.70ml6 − 18.8

0.628

33.30

3.63

Trophic2

SdetTxPct = 29.2 − 17.2ma6 + 40.3ma32 − 16.1dh19

0.555

0.00

9.15