Data from: Cascading effects of grazing on predatory arthropod and parasitoid densities

Lis o Supplemen al Tables and Figu es
Table S1. S ocking a es o each si e. G azed si es had s ocking a es o 1 cow/4,047 m2 and a e g azed
yea - ound.
aSi e 5 has a s ocking a e o 0 bu expe ienced occasional espass g azing, some imes o a signi ican
amoun o ime.
Si e
G azing Le el
S ocking Ra e
G1
G azed
1 cow/ 4,047 m2 yea - ound
G2
G azed
1 cow/ 4,047 m2 yea - ound
G3
G azed
1 cow/ 4,047 m2 yea - ound
LG1
Ligh ly G azed
0
LG2a
Ligh ly G azed
0
Table S2. Densi ies o a an ula bu ows and hawk wasps by si e, including lowe and uppe 95%
con idence limi s. Adjus men s used in i ing he pa ame ic ‘key’ o he pe pendicula dis ance
unc ion es ima ed by DISTANCE (Thomas e al., 2010)
G azing
Le el
Si e
Ta an ula Bu ow Densi y (Ha) (95% CI)
Hawk Wasp Densi y (Ha) (95% CI)
G azed
G1
297.6 (244.5,362.1)
11.3 (9.1,13.9)
G2
621.0 (516.2,746.9)
4.7 (3.9,5.5)
G3
318.6 (245.1,414.1)
6.6 (5.3,8.4)
Ligh ly
G azed
LG1
86.3 (62.9,118.5)
55.2 (34.6,88.2)
LG2
89.3 (64.5,123.6)
41.4 (28.9,59.4)
Figu e S1. a. A e age mon hly p ecipi a ion, b. a e age mon hly empe a u e, in La Jun a, Lama , and
Las Animas, Colo ado, om 2012-2022. La Jun a, Lama , and Las Animas a e h ee o he nea es ci ies
o he s udy si e, loca ed app oxima ely 53 km om he s udy si e.
Supplemen al In o ma ion 1. Dis ance sampling is a p o en me hod o es ima ing abundance
in a h opods (Cla k 2016; Ma his e al. 2024; Royale e al. 1982; Thomas e al. 2010). Dis ance sampling
models es ima e animal densi y (D) wi h he equa ion (Mille 2016):
𝐷 = 𝑛
(2𝑤𝐿𝑃
𝑎)
Whe e n = he numbe o obse a ions, w = he wid h o he a ea a ound he ansec ha su eying
was pe o med, L = he leng h o he ansec , and P = he p obabili y o inding a bu ow a he si e
(Mille 2016; Thompson e al. 1994).
Dis ance sampling ope a es on he concep ha he u he away om a ansec an animal is,
he mo e di icul i is o de ec (Cla k 2016; Mille 2016; Royale e al. 1982; Thompson e al. 1994). The
de ec ion unc ion (g(x)), a key componen o dis ance analysis, gi es he p obabili y o an animal being
de ec ed a x dis ance om he ansec (Cla k 2016; Royale e al. 1982; Thomas e al. 2010). DISTANCE
uses se e al key unc ions (uni o m, hal -no mal, haza d a e, and nega i e exponen ial) and adjus men
ypes (cosine, simple polynomial, and he mi e polynomial) o i he cu e o he de ec ion unc ion o a
ela i e equency his og am o he obse ed dis ances o he a ge animals o he ansec line (Mille
2016; Royale e al. 1982; Thompson e al. 1994).