Page 224 - Special Topic Session (STS) - Volume 2
P. 224

STS486 R. Ayesha A. et al.
                   Model       Size       ̃   Under   Correct  Over     TP    FN     MMSE
                                          2       0       49    51     15.17      0      0.27
                                          3       0       76    24     15.72      0      0.23

                               Large      0       0        0   100      0.47      0      0.24
                                          1       0       11    89     12.81      0      0.11
                                          2       0       69    31     15.66      0      0.08
                                          3       0       90    10     15.90      0      0.07
                  * Under = % underfit models; Correct = % correct models; Over = % of overfit models; TP = avg.
                  number true positives; FN = avg. number of false negatives; MMSE - mean of mean squared
                  errors (×100).

                     Plant  and  insect  traits  were  compiled  using  existing  published  and
                  unpublished datasets from the region. Plant traits included: (1) life span: short
                  (annual/biennial)  or  long  (perennial);  (2)  flower  type:  single  flower  or
                  inflorescence;  (3)  corolla  colour:  red/blue,  white,  or  yellow;  (4)  flower  size:
                  small, medium, or large; (5) floral symmetry: zygomorphic or actinomorphic;
                  (6)  plant  origin:  native/endemic  or  introduced;  (7)  plant  morphology:
                  monoecious or dioecious; (8) corolla shape: regular or irregular; and (9) type
                  of plant: herbaceous or woody.  Pollinator traits included: (1) minimum and
                  maximum body length (mm); (2) insect behaviour: social or solitary; (3) insect
                  trophic: herbivore or non-herbivore; and (4) insect origin: native/endemic or
                  introduced.
                     Table  2  shows  the  unpenalized  MLEs  and  the  refit  of  the  final  model
                  selected by the adaptive lasso with ̃=3, using BIC to select the final model.
                  Although the BIC value associated with the regularized model was smaller, the
                  difference  is  small  enough  (<  10)  that  the  fit  of  the  two  models  are
                  comparable.    However,  the  regularized  model  has  fewer  covariates  since
                  flower  size,  plant  type  and  perennial  status  have  been  removed  from  the
                  model, as has the variable corolla colour yellow.
                     The plant traits retained by the adaptive lasso may be partially explained
                  by pollination syndromes, which are evolved suites of floral traits (e.g., colour,
                  shape, size, etc.) among flowers pollinated by a particular functional group
                  (e.g., bees, beetles, flies, etc.).  For the Terceira Island data set, flies are the
                  dominant guild (Picanço et al., 2017) and the floral traits associated with fly
                  pollination,  namely,  white  corollas  (Arnold  et  al.,  2009),  symmetric  flowers
                  (actinomorphic), and regular (wheel-shaped) corollas, had positive non-zero
                  coefficients.   Hence, there is a higher estimated log-odds of pollinator species
                  interacting  with  plant  species  that  possess  these  traits.  Plant  morphology
                  (plants with inflorescences) and flower type (dioecious plants) also had non-
                  zero coefficients. This result is not surprising since pollinators are attracted to
                  inflorescences,  which  tend  to  have  a  greater  nectar/pollen  reward,  and



                                                                     213 | I S I   W S C   2 0 1 9
   219   220   221   222   223   224   225   226   227   228   229