Figure 1.
Experimental plot design and site locations in the Dickinson and Menominee counties in the Upper Peninsula of Michigan, USA. Numbers within each site denote plot numbers. Plot sizes are not to scale. Sites are managed by American Forest Management, Inc. (Charlotte, NC, USA). Satellite imagery retrieved from Google.
Figure 1.
Experimental plot design and site locations in the Dickinson and Menominee counties in the Upper Peninsula of Michigan, USA. Numbers within each site denote plot numbers. Plot sizes are not to scale. Sites are managed by American Forest Management, Inc. (Charlotte, NC, USA). Satellite imagery retrieved from Google.
Figure 2.
Sugar maple (Acer saccharum Marsh.) and hophornbeam (Ostrya virginiana ((Mill.) K. Koch) seedling (<45.7 cm tall) and sapling (>45.7 cm tall, <15.2 cm dbh) density among harvest, herbicide (Herb), and exclosure (Excl) treatments in a managed northern hardwood forest in the Upper Peninsula of Michigan, USA. Note the different y-axis ranges.
Figure 2.
Sugar maple (Acer saccharum Marsh.) and hophornbeam (Ostrya virginiana ((Mill.) K. Koch) seedling (<45.7 cm tall) and sapling (>45.7 cm tall, <15.2 cm dbh) density among harvest, herbicide (Herb), and exclosure (Excl) treatments in a managed northern hardwood forest in the Upper Peninsula of Michigan, USA. Note the different y-axis ranges.
Figure 3.
Mixed model regressions illustrating predicted sugar maple (Acer saccharum Marsh.) and hophornbeam (Ostrya virginiana ((Mill.) K. Koch) seedling (<45.7 cm tall) and sapling (>45.7 cm tall, <15.2 cm dbh) density among harvest, herbicide, and exclosure treatments in a managed northern hardwood forest in the Upper Peninsula of Michigan, USA. Regression lines falling within the gray area indicate lower 2017 density compared to 2015 density. Vertical lines indicate average measured pre-harvest density in selection (dashed) and clearcut (solid) strips. Note the different axis ranges.
Figure 3.
Mixed model regressions illustrating predicted sugar maple (Acer saccharum Marsh.) and hophornbeam (Ostrya virginiana ((Mill.) K. Koch) seedling (<45.7 cm tall) and sapling (>45.7 cm tall, <15.2 cm dbh) density among harvest, herbicide, and exclosure treatments in a managed northern hardwood forest in the Upper Peninsula of Michigan, USA. Regression lines falling within the gray area indicate lower 2017 density compared to 2015 density. Vertical lines indicate average measured pre-harvest density in selection (dashed) and clearcut (solid) strips. Note the different axis ranges.
Figure 4.
Average (±1 SE) Rubus spp. and graminoid cover among harvest, herbicide, and exclosure treatments in a managed northern hardwood forest in the Upper Peninsula of Michigan, USA. Cover among three 1 m2 subplots was averaged prior to analysis (n = 107). Letters indicate significant differences among harvest or exclosure treatments within each cover type. * Asterisk indicates a significant herbicide effect.
Figure 4.
Average (±1 SE) Rubus spp. and graminoid cover among harvest, herbicide, and exclosure treatments in a managed northern hardwood forest in the Upper Peninsula of Michigan, USA. Cover among three 1 m2 subplots was averaged prior to analysis (n = 107). Letters indicate significant differences among harvest or exclosure treatments within each cover type. * Asterisk indicates a significant herbicide effect.
Figure 5.
Nonmetric multidimensional scaling ordinations illustrating the relationships among treatments and changes in average cover (2017 cover minus 2015 cover) of ferns, forbs, graminoids, and Rubus spp. in 1 m2 plots (n = 107 plots), depicting two axes of a three-axis ordination. Ellipses indicate (a) harvest, (b) herbicide, (c) exclosure, and (d) harvest × exclosure treatments, based on the standard deviation of point scores for each plot. Points represent individual plots, and distances between points represent the similarity among plots (i.e., points closer together are more similar in composition). Cover among three 1 m2 subplots was averaged prior to analysis. The direction and length of each vector indicate the relative treatment influence on the response variables. One ordination model was constructed, and ellipses highlighted separately for each treatment. * Asterisk indicates a significant difference between herbicide and no herbicide plots (p < 0.05).
Figure 5.
Nonmetric multidimensional scaling ordinations illustrating the relationships among treatments and changes in average cover (2017 cover minus 2015 cover) of ferns, forbs, graminoids, and Rubus spp. in 1 m2 plots (n = 107 plots), depicting two axes of a three-axis ordination. Ellipses indicate (a) harvest, (b) herbicide, (c) exclosure, and (d) harvest × exclosure treatments, based on the standard deviation of point scores for each plot. Points represent individual plots, and distances between points represent the similarity among plots (i.e., points closer together are more similar in composition). Cover among three 1 m2 subplots was averaged prior to analysis. The direction and length of each vector indicate the relative treatment influence on the response variables. One ordination model was constructed, and ellipses highlighted separately for each treatment. * Asterisk indicates a significant difference between herbicide and no herbicide plots (p < 0.05).
Table 1.
Average (±SE) stand characteristics pre- and post-harvest in a managed northern hardwood forest in the Upper Peninsula of Michigan, USA. Saplings were defined as ≥45.7 cm (18 inches) tall but <15.4 cm (6 inches) diameter at breast height. Seedlings were defined as <45.7 cm tall. Trees were counted for basal area if the diameter at breast height was >15.4 cm. BA, basal area; QMD, quadratic mean diameter; BA, basal area; SM, sugar maple; HB, hophornbeam.
Table 1.
Average (±SE) stand characteristics pre- and post-harvest in a managed northern hardwood forest in the Upper Peninsula of Michigan, USA. Saplings were defined as ≥45.7 cm (18 inches) tall but <15.4 cm (6 inches) diameter at breast height. Seedlings were defined as <45.7 cm tall. Trees were counted for basal area if the diameter at breast height was >15.4 cm. BA, basal area; QMD, quadratic mean diameter; BA, basal area; SM, sugar maple; HB, hophornbeam.
| Year | Harvest | Ferns (% Cover) | Forbs (% Cover) | Rubus spp. (% Cover) | Graminoids (% Cover) | BA (m2 ha−1) | QMD (cm) | SM BA (m2 ha−1) |
| 2015 | Strip clearcut (n = 72) | 14.7 (0.9) | 13.6 (0.9) | 13.2 (0.4) | 18.8 (1.3) | 20.0 (1.0) | 30.3 (0.7) | 16.5 (1.0) |
| 2015 | Strip selection (n = 35) | 13.9 (0.9) | 13.2 (0.4) | 12.7 (0.2) | 17.0 (1.9) | 19.0 (0.9) | 30.8 (0.8) | 16.5 (1.0) |
| 2017 | Strip clearcut (n = 72) | 12.8 (0.2) | 16.2 (0.9) | 21.3 (2.0) | 36.2 (2.4) | 1.3 (0.3) | 13.0 (2.2) | 1.0 (0.2) |
| 2017 | Strip selection (n = 35) | 16.3 (1.4) | 18.2 (2.1) | 14.4 (0.8) | 32.3 (3.2) | 15.6 (1.0) | 30.6 (0.7) | 14.0 (1.1) |
| Year | Harvest | Seedlings ha−1 | Saplings ha−1 | SM Seedlings ha−1 | HB Seedlings ha−1 | SM Saplings ha−1 | HB Saplings ha−1 |
| 2015 | Strip clearcut (n = 72) | 61,573 (9197) | 3296 (429) | 48,055 (9193) | 2005 (398) | 235 (49) | 1031 (159) |
| 2015 | Strip selection (n = 35) | 42,856 (7249) | 3276 (641) | 35,618 (7299) | 848 (260) | 593 (205) | 752 (164) |
| 2017 | Strip clearcut (n = 72) | 15,555 (2735) | 2644 (362) | 8055 (2471) | 768 (179) | 446 (127) | 637 (131) |
| 2017 | Strip selection (n = 35) | 27,047 (3712) | 3029 (458) | 19,523 (3745) | 655 (237) | 452 (154) | 890 (195) |
Table 2.
Plot distribution among harvest, herbicide, and exclosure treatments in managed northern hardwood forests in the Upper Peninsula of Michigan, USA.
Table 2.
Plot distribution among harvest, herbicide, and exclosure treatments in managed northern hardwood forests in the Upper Peninsula of Michigan, USA.
| Treatment | Plot Count |
|---|
| Strip selection | | | 25 |
| Strip selection | +herbicide | | 4 |
| Strip selection | +exclosure | | 3 |
| Strip selection | +herbicide | +exclosure | 2 |
| Strip clearcut | | | 43 |
| Strip clearcut | +herbicide | | 19 |
| Strip clearcut | +exclosure | | 9 |
| Strip clearcut | +herbicide | +exclosure | 2 |
Table 3.
Mixed model effects of harvest, herbicide, exclosure, and pre-treatment density on sugar maple and hophornbeam seedling (<45.7 cm tall) density in managed northern hardwood forests in the Upper Peninsula of Michigan, USA. Density among three 1 m2 subplots was averaged prior to analysis. The site was included as a random effect. Models first included all treatment interactions and were then simplified if no interaction effect was detected. Lower order interactions were retained if higher order interactions were statistically significant. * Asterisks indicate statistical significance (p < 0.05), italicized values indicate marginal significance (0.05 < p < 0.10). R2M, marginal R2 (fixed effects only); R2C, conditional R2 (fixed and random effects); Dfnum, numerator degrees of freedom; Dfden, denominator degrees of freedom.
Table 3.
Mixed model effects of harvest, herbicide, exclosure, and pre-treatment density on sugar maple and hophornbeam seedling (<45.7 cm tall) density in managed northern hardwood forests in the Upper Peninsula of Michigan, USA. Density among three 1 m2 subplots was averaged prior to analysis. The site was included as a random effect. Models first included all treatment interactions and were then simplified if no interaction effect was detected. Lower order interactions were retained if higher order interactions were statistically significant. * Asterisks indicate statistical significance (p < 0.05), italicized values indicate marginal significance (0.05 < p < 0.10). R2M, marginal R2 (fixed effects only); R2C, conditional R2 (fixed and random effects); Dfnum, numerator degrees of freedom; Dfden, denominator degrees of freedom.
| | Sugar Maple (n = 105) | Hophornbeam (n = 105) |
|---|
| | R2M | R2C | R2M | R2C |
|---|
| | 0.544 | 0.573 | 0.145 | 0.154 |
|---|
| Predictor | Dfnum | Dfden | F-Value | p Value | Dfnum | Dfden | F-Value | p Value |
|---|
| Intercept | 1 | 96 | 49.745 | <0.001 | 1 | 97 | 32.576 | <0.001 |
| Harvest | 1 | 96 | 34.658 | <0.001 * | 1 | 97 | 0.006 | 0.939 |
| Herbicide | 1 | 96 | 3.152 | 0.079 | 1 | 97 | 1.185 | 0.279 |
| Exclosure | 1 | 96 | 1.029 | 0.313 | 1 | 97 | 1.057 | 0.307 |
| Pre-treatment (trt) density | 1 | 96 | 57.132 | <0.001 * | 1 | 97 | 10.125 | 0.002 * |
| Harvest × Pre-trt density | 1 | 96 | 11.606 | 0.001 * | | | | |
| Herbicide × Pre-trt density | 1 | 96 | 8.405 | 0.005 * | 1 | 97 | 4.135 | 0.045 * |
Table 4.
Mixed model effects of harvest, herbicide, exclosure, and pre-treatment density on sugar maple and hophornbeam sapling (>45.7 cm tall, <15.2 cm dbh) density in 80.94 m2 plots of managed northern hardwood forests in the Upper Peninsula of Michigan, USA. The site was included as a random effect. Models first included all treatment interactions and were then simplified if no interaction effect was detected (i.e., p > 0.10). Lower order interactions were retained if higher order interactions were statistically significant. * Asterisks indicate statistical significance (p < 0.05), italicized values indicate marginal significance (0.05 < p < 0.10). R2M, marginal R2 (fixed effects only); R2C, conditional R2 (fixed and random effects); Dfnum, numerator degrees of freedom; Dfden, denominator degrees of freedom.
Table 4.
Mixed model effects of harvest, herbicide, exclosure, and pre-treatment density on sugar maple and hophornbeam sapling (>45.7 cm tall, <15.2 cm dbh) density in 80.94 m2 plots of managed northern hardwood forests in the Upper Peninsula of Michigan, USA. The site was included as a random effect. Models first included all treatment interactions and were then simplified if no interaction effect was detected (i.e., p > 0.10). Lower order interactions were retained if higher order interactions were statistically significant. * Asterisks indicate statistical significance (p < 0.05), italicized values indicate marginal significance (0.05 < p < 0.10). R2M, marginal R2 (fixed effects only); R2C, conditional R2 (fixed and random effects); Dfnum, numerator degrees of freedom; Dfden, denominator degrees of freedom.
| | Sugar Maple (n = 105) | Hophornbeam (n = 106) |
|---|
| | R2M | R2C | R2M | R2C |
|---|
| | 0.262 | 0.342 | 0.498 | 0.498 |
|---|
| Predictor | Dfnum | Dfden | F-Value | p Value | Dfnum | Dfden | F-Value | p Value |
|---|
| Intercept | 1 | 93 | 15.174 | <0.001 | 1 | 99 | 318.380 | <0.001 |
| Harvest | 1 | 93 | 1.924 | 0.169 | 1 | 99 | 5.527 | 0.021 * |
| Herbicide | 1 | 93 | 1.119 | 0.293 | 1 | 99 | 12.876 | <0.001 * |
| Exclosure | 1 | 93 | 14.057 | <0.001 * | 1 | 99 | 7.045 | 0.009 * |
| Pre-treatment (trt) density | 1 | 93 | 9.029 | 0.003 * | 1 | 99 | 73.681 | <0.001 * |
| Harvest × Herbicide | 1 | 93 | 0.125 | 0.725 | | | | |
| Harvest × Exclosure | 1 | 93 | 1.457 | 0.230 | | | | |
| Herbicide × Exclosure | 1 | 93 | 0.125 | 0.724 | | | | |
| Harvest × Pre-trt density | 1 | 93 | 4.195 | 0.043 * | | | | |
| Harvest × Herbicide × Exclosure | 1 | 93 | 2.945 | 0.090 | | | | |
Table 5.
Mixed model effects of harvest, herbicide, and exclosure on post-treatment Rubus spp. and graminoid cover in managed northern hardwood forests in the Upper Peninsula of Michigan, USA. Cover among three 1 m2 subplots was averaged prior to analysis. The site was included as a random effect. Models first included all treatment interactions and were then simplified if no interaction effect was detected. * Asterisks indicate statistical significance (p < 0.05). R2M, marginal R2 (fixed effects only); R2C, conditional R2 (fixed and random effects); Dfnum, numerator degrees of freedom; Dfden, denominator degrees of freedom.
Table 5.
Mixed model effects of harvest, herbicide, and exclosure on post-treatment Rubus spp. and graminoid cover in managed northern hardwood forests in the Upper Peninsula of Michigan, USA. Cover among three 1 m2 subplots was averaged prior to analysis. The site was included as a random effect. Models first included all treatment interactions and were then simplified if no interaction effect was detected. * Asterisks indicate statistical significance (p < 0.05). R2M, marginal R2 (fixed effects only); R2C, conditional R2 (fixed and random effects); Dfnum, numerator degrees of freedom; Dfden, denominator degrees of freedom.
| | Rubus spp. Cover (n = 107) | Graminoid Cover (n = 107) |
|---|
| | R2M | R2C | R2M | R2C |
|---|
| | 0.098 | 0.179 | 0.257 | 0.328 |
|---|
| Predictor | Dfnum | Dfden | F-Value | p Value | Dfnum | Dfden | F-Value | p Value |
|---|
| Intercept | 1 | 100 | 420.080 | <0.001 | 1 | 99 | 132.513 | <0.001 |
| Harvest | 1 | 100 | 5.318 | 0.023 * | 1 | 99 | 1.107 | 0.295 |
| Herbicide | 1 | 100 | 6.469 | 0.013 * | 1 | 99 | 27.809 | <0.001 * |
| Exclosure | 1 | 100 | 0.057 | 0.812 | 1 | 99 | 2.096 | 0.151 |
| Harvest × Exclosure | | | | | 1 | 99 | 5.605 | 0.020 * |
Table 6.
Permutational multivariate analysis of variance (PERMANOVA) effects of silvicultural treatment on the change in composition (absolute value of 2017 minus 2015 cover) of ground-layer vegetation (forbs, ferns, graminoids, and Rubus spp.) in managed northern hardwood forests in the Upper Peninsula of Michigan, USA (n = 107). Response variables among three 1 m2 subplots were averaged prior to analysis. * Asterisks indicate statistical significance (p < 0.05), italicized values indicate marginal significance (0.05 < p < 0.10). df, degrees of freedom; Sum. sq., sum of squares; Mean sq., mean square.
Table 6.
Permutational multivariate analysis of variance (PERMANOVA) effects of silvicultural treatment on the change in composition (absolute value of 2017 minus 2015 cover) of ground-layer vegetation (forbs, ferns, graminoids, and Rubus spp.) in managed northern hardwood forests in the Upper Peninsula of Michigan, USA (n = 107). Response variables among three 1 m2 subplots were averaged prior to analysis. * Asterisks indicate statistical significance (p < 0.05), italicized values indicate marginal significance (0.05 < p < 0.10). df, degrees of freedom; Sum. sq., sum of squares; Mean sq., mean square.
| | df | Sum. Sq | Mean Sq | F-Value | R2 | p Value |
|---|
| Harvest | 1 | 0.365 | 0.365 | 1.513 | 0.013 | 0.166 |
| Herbicide | 1 | 1.286 | 1.286 | 5.330 | 0.047 | 0.001 * |
| Exclosure | 1 | 0.124 | 0.124 | 0.512 | 0.005 | 0.730 |
| Harvest × Herbicide | 1 | 0.485 | 0.485 | 2.008 | 0.018 | 0.077 |
| Harvest × Exclosure | 1 | 0.753 | 0.753 | 3.120 | 0.027 | 0.011 * |
| Residuals | 101 | 24.377 | 0.241 | | 0.890 | |
| Total | 106 | 27.389 | | | 1.000 | |