Description of research
This study seeks to determine the relationship of several indirect effects on arthropod herbivore density across 3 years in a common garden of Coastal Sage Scrub plants.
The metadata used for our analyses was collected annually in April-May for three consecutive years from 2021-2023 in a common garden at Concordia University Irvine. The common garden consisted of 13 species of woody shrubs native to the Coastal Sage Scrub ecosystem, arranged in 20 plots, each with 1 individual plant per species.
Data collected, abbreviations used and variable type assigned for the metadata can be found in the table below.
| Data | Description | Column Name | Variable Type |
|---|---|---|---|
| Plant # | Individual plant | Plant | Factor |
| Plant Species | Plant Species | Species | Factor |
| Plot | Individual Plot | Plot | Factor |
| Year | Year data collected | Year | Factor |
| Clay caterpillar attack rate | Bird attacks on clay caterpillars | bird_attack | Numeric |
| S. exigua growth rate | Average mass of S. exigua in mg | Avg_spod_mass_mg | Numeric |
| Herbivore count | Total number of herbivores | Abundance_Herb | Numeric |
| Predator count | Total number of predators | Abundance_Pred | Numeric |
Methods
Spodoptera mass was collected after a 10-day laboratory feeding assay. Briefly, Spodoptera exigua, a generalist herbivore, were hatched from eggs and immediately fed leaves from each individual plant. At the end of 10 days, the number of surviving larvae and final mass of each larvae were recorded. See You, An, and Li (2020) for details. Clay caterpillars were deployed in 2022 and assessed for bird attacks each week over a period of 4 weeks with one caterpillar on the interior and one on the exterior of each plant as described in Dean, et al., 2024. Arthropods were collected from plants using a vacuum method as previously described in Pratt et al. (2017), sorted from plant material, identified to taxonomic order and assigned to one of 5 feeding guilds: Herbivore, Predator, Omnivore, Detritovore, Playnivore.
Clay caterpillar table
head(long_clay)
| Year | Plant | Species | location | bird_attack | cat_id | Plot |
|---|---|---|---|---|---|---|
| 2022 | 1 | Acmispon_glaber | Exterior | 0 | 1 | 1 |
| 2022 | 1 | Acmispon_glaber | Exterior | 0 | 1 | 1 |
| 2022 | 1 | Acmispon_glaber | Exterior | 1 | 1 | |
| 2022 | 1 | Acmispon_glaber | Exterior | 0 | 1 | 1 |
| 2022 | 1 | Acmispon_glaber | Interior | 0 | 2 | 1 |
| 2022 | 1 | Acmispon_glaber | Interior | 0 | 2 | 1 |
We will first test whether species vary in Herbivore density as well as direct/indirect effects on herbivore density of interest: S. exigua growth rate, predator density, clay caterpillar attack. To do this, we will run a series of generalized linear mixed models for each response variable listed above and main fixed effects being Species. Additional fixed effects plus random effects will be added depending on main effect.
Year will be added as a fixed effect with Plant and Plot as random effects. The model used is:
log(Total arthropod count + 1) ~ Species + Year + (1|Plant) + (1|Plot)
Year will be added as a fixed effect with Plant and Plot as random effects. The model used is:
log(Herbivore count + 1) ~ Species + Year + (1|Plant) + (1|Plot)
NOTE Predator density relationship with herbivore count is curvilinear, therefore we ran the model with a polynomial assumption. Figure included for reference.
All species
Species by species
log(Predator count + 1) ~ Species + poly(log(Herbivore count + 1), 2) + Year + (1|Plant) + (1|Plot)
log(Predator:Herbivore ratio) ~ Species + Year + (1|Plant) + (1|Plot))
log(Avg Spodoptera biomass) ~ Species + Year + (1|Plant) + (1|Plot)
Caterpillar attack (Bird only) ~ Species + Caterpillar position + (1|Plant) + (1|Plot) + (1|Caterpillar), family = binomial
Caterpillar attack (non-bird) ~ Species + Caterpillar position + (1|Plant) + (1|Plot) + (1|Caterpillar), family = binomial
Caterpillar attack (Total) ~ Species + Caterpillar position + (1|Plant) + (1|Plot) + (1|Caterpillar), family = binomial
| Response | Fixef | Ranef | P.value |
|---|---|---|---|
| Arth_tot_density | Species | Plant,plot | <0.001 |
| Arth_tot_density | Year | Plant,plot | <0.001 |
| Herb_density | Species | Plant,plot | <0.001 |
| Herb_density | Year | Plant,plot | <0.001 |
| Pred_density | Species | Plant,plot | <0.001 |
| Pred_density | Herb_density | Plant,plot | <0.001 |
| Pred_density | Year | Plant,plot | <0.001 |
| Pred_ratio | Species | Plant, plot | <0.001 |
| Pred_ratio | Year | Plant,plot | <0.001 |
| Spod_growth | Species | Plant,plot | <0.001 |
| Spod_growth | Year | Plant,plot | <0.001 |
| Bird_attack | Species | Plant,plot,cat_id | 0.81 |
| Bird_attack | cat_position | Plant,plot,cat_id | <0.001 |
| nonbird_attack | Species | Plant,plot,cat_id | <0.001 |
| nonbird_attack | cat_position | Plant,plot,cat_id | 0.46 |
| total_attack | Species | Plant,plot,cat_id | <0.05 |
| total_attack | cat_position | Plant,plot,cat_id | <0.01 |
We will create a correlation matrix to assess relationships between direct, indirect effects and herbivore density using species-level means.
NOTE Least square means were used for predator abundance to control for the effect of herbivore abundance included in the model
NOTE For variables transformed in the model (herbivore, predator and spodoptera) we report both non-transformed and log-transformed means + SE.
Transformed
| Species | Mean_log_arthtot | Mean_logherb | lsMean_logpred | Mean_log_predratio | Mean_logspod | Mean_bird_attack | Mean_nonbird_attack | Mean_tot_attack |
|---|---|---|---|---|---|---|---|---|
| Acmispon_glaber | 3.653564 | 3.218808 | 1.93 | -1.6090014 | 3.0854664 | 0.1333333 | 0.1777778 | 0.3111111 |
| Artemisia_californica | 4.626658 | 4.142166 | 1.88 | -2.0938425 | 0.0950700 | 0.1741936 | 0.0709677 | 0.2451613 |
| Diplacus_aurantiacus | 3.740925 | 2.761536 | 2.17 | -0.7124839 | -1.0485532 | 0.1468532 | 0.1608392 | 0.3076923 |
| Encelia_californica | 3.681380 | 2.879265 | 1.68 | -1.3244492 | -0.1710167 | 0.1403509 | 0.0789474 | 0.2192982 |
| Eriogonum_fasciculatum | 3.743377 | 2.946644 | 1.89 | -1.1680015 | 0.6585116 | 0.1551724 | 0.0862069 | 0.2413793 |
| Grindelia_camporum | 3.998855 | 3.652692 | 1.80 | -2.0071538 | 1.4422856 | 0.1578947 | 0.0827068 | 0.2406015 |
| Isocoma_menziesii | 4.150024 | 3.537228 | 2.34 | -1.2032468 | -0.9869171 | 0.2000000 | 0.1043478 | 0.3043478 |
| Malacothamnus_fasciculatus | 5.077814 | 4.595207 | 1.65 | -2.7636971 | -0.0727702 | 0.0884956 | 0.1504425 | 0.2389381 |
| Malacothrix_saxatilis | 2.884375 | 2.016001 | 1.61 | -0.7758746 | 0.1013485 | 0.0935252 | 0.0719424 | 0.1654676 |
| Mirabilis_laevis | 3.674488 | 2.713377 | 1.04 | -1.8457312 | 0.2502837 | 0.1260504 | 0.0504202 | 0.1764706 |
| Salvia_apiana | 4.572842 | 4.097501 | 1.60 | -2.4026636 | 0.1099108 | 0.1532258 | 0.1370968 | 0.2903226 |
| Salvia_mellifera | 4.063673 | 3.683271 | 1.76 | -1.8893854 | -0.4259525 | 0.1338583 | 0.2519685 | 0.3858268 |
| Sisyrinchium_bellum | 2.246985 | 1.479547 | 1.45 | -0.5702608 | -1.1365932 | 0.1369863 | 0.0958904 | 0.2328767 |
Untransformed
| Species | Mean_totarth | Mean_herb | lsMean_pred | Mean_pred_ratio | Mean_spod | Mean_bird_attack | Mean_nonbird_attack | Mean_tot_attack |
|---|---|---|---|---|---|---|---|---|
| Acmispon_glaber | 150.44444 | 137.000000 | 6.889510 | 0.4513524 | 34.1545455 | 0.1333333 | 0.1777778 | 0.3111111 |
| Artemisia_californica | 133.08475 | 76.610169 | 6.553505 | 0.1866512 | 1.6357692 | 0.1741936 | 0.0709677 | 0.2451613 |
| Diplacus_aurantiacus | 50.80357 | 21.428571 | 8.758284 | 0.7720872 | 0.5826087 | 0.1468532 | 0.1608392 | 0.3076923 |
| Encelia_californica | 69.15094 | 38.811321 | 5.365556 | 0.6598656 | 1.9954545 | 0.1403509 | 0.0789474 | 0.2192982 |
| Eriogonum_fasciculatum | 61.17391 | 29.826087 | 6.619369 | 0.4667163 | 11.9970000 | 0.1551724 | 0.0862069 | 0.2413793 |
| Grindelia_camporum | 107.40741 | 92.666667 | 6.049647 | 0.3004549 | 4.6794444 | 0.1578947 | 0.0827068 | 0.2406015 |
| Isocoma_menziesii | 85.30233 | 54.627907 | 10.381237 | 0.5913882 | 1.0812500 | 0.2000000 | 0.1043478 | 0.3043478 |
| Malacothamnus_fasciculatus | 237.95000 | 190.750000 | 5.206980 | 0.1710104 | 3.2444444 | 0.0884956 | 0.1504425 | 0.2389381 |
| Malacothrix_saxatilis | 28.64103 | 14.564103 | 5.002811 | 0.7379180 | 2.6064706 | 0.0935252 | 0.0719424 | 0.1654676 |
| Mirabilis_laevis | 62.27778 | 31.814815 | 2.829217 | 0.2870965 | 4.1636364 | 0.1260504 | 0.0504202 | 0.1764706 |
| Salvia_apiana | 162.62500 | 142.125000 | 4.953032 | 0.4341741 | 6.0601010 | 0.1532258 | 0.1370968 | 0.2903226 |
| Salvia_mellifera | 108.28000 | 89.180000 | 5.812437 | 0.2254128 | 2.6283333 | 0.1338583 | 0.2519685 | 0.3858268 |
| Sisyrinchium_bellum | 17.05128 | 9.820513 | 4.263115 | 0.8953910 | 0.5353333 | 0.1369863 | 0.0958904 | 0.2328767 |
We will now create correlation matrixes on both the transformed and untransformed species-level means to determine the strength of relationships between each variable.
NOTE All correlation coefficients are Pearson
Untransformed means
| Mean_totarth | Mean_herb | lsMean_pred | Mean_pred_ratio | Mean_spod | Mean_bird_attack | Mean_nonbird_attack | Mean_tot_attack | |
|---|---|---|---|---|---|---|---|---|
| Mean_totarth | 1.0000000 | 0.9752149 | 0.0131714 | -0.7196914 | 0.2779108 | -0.1410309 | 0.3893428 | 0.2955927 |
| Mean_herb | 0.9752149 | 1.0000000 | -0.0282993 | -0.6528801 | 0.3655877 | -0.1886470 | 0.4664402 | 0.3443757 |
| lsMean_pred | 0.0131714 | -0.0282993 | 1.0000000 | 0.1720340 | 0.0665812 | 0.6226748 | 0.2437314 | 0.5371064 |
| Mean_pred_ratio | -0.7196914 | -0.6528801 | 0.1720340 | 1.0000000 | -0.1275691 | 0.0223715 | -0.1870783 | -0.1645103 |
| Mean_spod | 0.2779108 | 0.3655877 | 0.0665812 | -0.1275691 | 1.0000000 | -0.0730947 | 0.2605272 | 0.2083300 |
| Mean_bird_attack | -0.1410309 | -0.1886470 | 0.6226748 | 0.0223715 | -0.0730947 | 1.0000000 | -0.1357126 | 0.3678163 |
| Mean_nonbird_attack | 0.3893428 | 0.4664402 | 0.2437314 | -0.1870783 | 0.2605272 | -0.1357126 | 1.0000000 | 0.8713780 |
| Mean_tot_attack | 0.2955927 | 0.3443757 | 0.5371064 | -0.1645103 | 0.2083300 | 0.3678163 | 0.8713780 | 1.0000000 |
Transformed
| Mean_log_arthtot | Mean_logherb | lsMean_logpred | mean_log_predratio | Mean_logspod | Mean_bird_attack | Mean_nonbird_attack | Mean_tot_attack | |
|---|---|---|---|---|---|---|---|---|
| Mean_log_arthtot | 1.0000000 | 0.9760085 | 0.2519501 | -0.8411371 | 0.1034415 | 0.1655057 | 0.2463326 | 0.3131610 |
| Mean_logherb | 0.9760085 | 1.0000000 | 0.2688026 | -0.8778528 | 0.1937696 | 0.1839687 | 0.3230519 | 0.3943111 |
| lsMean_logpred | 0.2519501 | 0.2688026 | 1.0000000 | 0.2081021 | -0.0342749 | 0.5639223 | 0.3094026 | 0.5696503 |
| mean_log_predratio | -0.8411371 | -0.8778528 | 0.2081021 | 1.0000000 | -0.3085769 | 0.1031407 | -0.1975353 | -0.1343287 |
| Mean_logspod | 0.1034415 | 0.1937696 | -0.0342749 | -0.3085769 | 1.0000000 | -0.1182681 | 0.0413333 | -0.0197709 |
| Mean_bird_attack | 0.1655057 | 0.1839687 | 0.5639223 | 0.1031407 | -0.1182681 | 1.0000000 | -0.1357126 | 0.3678163 |
| Mean_nonbird_attack | 0.2463326 | 0.3230519 | 0.3094026 | -0.1975353 | 0.0413333 | -0.1357126 | 1.0000000 | 0.8713780 |
| Mean_tot_attack | 0.3131610 | 0.3943111 | 0.5696503 | -0.1343287 | -0.0197709 | 0.3678163 | 0.8713780 | 1.0000000 |