dep var: totalsdlgs n: 33 multiple r: 0.728 squared multiple r: 0.529

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Dep Var: TOTALSDLGS N: 33 Multiple R: 0.728 Squared multiple R: 0.529 Adjusted squared multiple R: 0.372 Standard error of estimate: 2.075 EffectCoefficientStd ErrorStd CoefTolerancetP(2 Tail) CONSTANT-0.2451.2370.000.-0.1980.844 - PowerPoint PPT Presentation

TRANSCRIPT

Total Sdlgs ACRU ACSA FAGR FRAM PIST PRSE QURU TSCA OTHER3 0.91327 0 0 0 0.09786 0 0 0 03 0.76206 0 0 0 0.09786 0 0.01606 0 01 0.01832 0.34419 0 0 0 0.01629 0.09062 0 0.022274 0.16188 0 0 0 0.39214 0 0 0 01 0.47193 0 0 0 0.18548 0 0 0 0.026590 0.75966 0 0.02994 0 0.06845 0 0 0 0.026594 0.49819 0 0.04087 0 0.05432 0 0 0.09079 00 0.56881 0 0.01094 0 0 0 0 0.09079 00 0.56881 0 0 0 0 0 0 0.09079 06 0.60207 0 0 0 0 0.38849 0 0 0.010390 0.41845 0 0 0 0 0.14253 0 0 00 0.53881 0 0 0 0 0 0 0 06 0.35334 0.06026 0.01227 0 0 0 0 0 00 0.09953 0.06026 0.01227 0 0 0 0 0 0.093480 0.09662 0.31469 0 0 0 1.02136 0 0 00 0.0172 0 0 0 0 0.36382 0 0 05 0.11702 0 0 0 0.88484 0 0 0 00 0.58728 0 0 0 0 0 0 0.09348 01 0 0.01674 0.01188 0 0.09457 0 0 0.08398 0.074020 0.1301 0.01674 0.01188 0 0.37542 0 0 0.08398 0.042510 0.1301 0.01674 0 0 0.37542 0 0 0 0.023561 0.1301 0 0 0 0 0 0 0 0.038964 0.36686 0 0 0 0 0 0 0 0.086574 0.55774 0 0 0 0 0 0 0 0.086570 0.60339 0.01075 0 0 0 0 0 0.08919 00 0.04829 0.01075 0 0 0 0.31768 0 0 0.079423 0.43312 0.08393 0 0 0 0.31768 0 0 0.079422 0.55193 0.07354 0 0 0 0.31768 0 0 0.113458 0 0.28937 0.0721 0 0 0 0 0 0.113452 0 0.28937 0.0721 0 0 0 0 0 00 0.39491 0.04676 0 0 0 0.43267 0 0.11162 02 0.39491 0.04676 0 0 0 0.47098 0 0.11162 0.04791

10 0.2801 0.03048 0 0 0 0 0.40488 0 0.06019

ACRU

AC

RU

ACSA FAGR FRAM PIST PRSE QURU TSCA OTHER TOTALSDLGS

AC

RU

AC

SA

AC

SA

FAG

R

FAG

R

FR

AM

FR

AM

PIS

T

PIS

T

PR

SE

PR

SE

QU

RU

QU

RU

TS

CA

TS

CA

OT

HE

R

OT

HE

R

ACRU

TOTA

LSD

LGS

ACSA FAGR FRAM PIST PRSE QURU TSCA OTHER TOTALSDLGS

TOTA

LSD

LGS

Dep Var: TOTALSDLGS N: 33 Multiple R: 0.728 Squared multiple R: 0.529 Adjusted squared multiple R: 0.372 Standard error of estimate: 2.075

Effect Coefficient Std Error Std Coef Tolerance t P(2 Tail)CONSTANT -0.245 1.237 0.000 . -0.198 0.844ACRU 2.876 1.843 0.285 0.589 1.560 0.132ACSA -2.323 5.623 -0.089 0.422 -0.413 0.683FAGR 62.668 26.510 0.451 0.538 2.364 0.027PIST 4.215 2.403 0.296 0.691 1.754 0.092PRSE 1.627 2.069 0.140 0.620 0.786 0.439QURU 21.159 5.471 0.579 0.875 3.867 0.001TSCA -13.789 9.250 -0.226 0.857 -1.491 0.149OTHER 14.832 10.582 0.218 0.809 1.402 0.174 Analysis of Variance

Source Sum-of-Squares df Mean-Square F-ratio PRegression 116.183 8 14.523 3.373 0.010

Residual 103.332 24 4.306

Component loadings 1 2 3 4 ACRU -0.708 -0.263 0.114 0.373 ACSA 0.848 -0.209 -0.186 -0.069 FAGR 0.581 0.166 -0.526 0.499 PIST -0.198 0.710 -0.243 -0.537 PRSE 0.228 -0.739 0.075 -0.558 QURU 0.161 0.182 0.681 0.158 TSCA -0.390 -0.339 -0.424 0.245 OTHER 0.470 0.090 0.435 0.264 Variance Explained by Components 1 2 3 4 2.049 1.347 1.221 1.148 Percent of Total Variance Explained 1 2 3 4 25.611 16.844 15.261 14.351

Principal Components Analysis

Scree Plot

0 1 2 3 4 5 6 7 8 9Number of Factors

0.0

0.5

1.0

1.5

2.0

2.5

Eig

enva

lue

Factor Loadings Plot

FACTOR(1)

FAC

TO

R(1

)

FACTOR(2)

PRSE

TSCA

ACRU

ACSA

PIST

QURU

FAGROTHER

FACTOR(3)

FAGR

TSCAPIST

ACSA

QURU

OTHER

ACRU

PRSE

FACTOR(4)

FAC

TO

R(1)

PRSE

PIST

ACSA

QURU

FAGR

ACRU

OTHER

TSCA

FAC

TO

R( 2

)

ACRUTSCA

PIST

QURU

ACSA

FAGROTHER

PRSE

FAGR

TSCA

PIST

ACSA

QURUOTHER

ACRU

PRSE

FAC

TO

R(2)PRSE

PIST

ACSA

QURUFAGR

ACRU

OTHER

TSCA

FAC

TO

R( 3

)

ACRU

TSCAPIST

QURU

ACSA

FAGR

OTHER

PRSE PRSE

TSCA

ACRU

ACSA PIST

QURU

FAGR

OTHER

FAC

TO

R(3)

PRSE

PIST ACSA

QURU

FAGR

ACRU

OTHER

TSCA

FACTOR(1)

FAC

TO

R(4

)

ACRUTSCA

PIST

QURU

ACSA

FAGR

OTHER

PRSE

FACTOR(2)

PRSE

TSCAACRU

ACSA

PIST

QURU

FAGR

OTHER

FACTOR(3)

FAGR

TSCA

PIST

ACSA

QURUOTHER

ACRU

PRSE

FACTOR(4)

FAC

TO

R(4)

Canopy Tree Principal Components Analysis

0%

10%

20%

30%

40%

50%

60%

70%

80%

90%

100%

-5 -4 -3 -2 -1 0 1 2 3 4 5

Canopy Tree Neighborhood Axis

Per

cen

t B

asal

Are

a

Red Maple

Sugar Maple

Red Oak

White Ash

Eastern Hemlock

Other

Black Cherry

Beech

White Pine

Maximum Likelihood Estimation

-Used a global optimization procedure to find the best parameter estimates for the Type IV Exponential Equation:

RESPONSE = A*B(X-C)2

C

A

B

Principal Components Axis

Res

po

nse

Tree Neighborhoods: Seed Survival

0

2

4

6

8

10

12

14

-5 -3 -1 1 3 5

Canopy Tree Neighborhood Axis

Av

era

ge

# S

ee

ds

Re

ma

inin

g (

of

25

) 1995

1996

High Sugar MapleHigh White Ash

High Red OakHigh Beech