| Literature DB >> 27199710 |
Daniel E Callan1, Cengiz Terzibas2, Daniel B Cassel3, Masa-Aki Sato4, Raja Parasuraman5.
Abstract
The goal of this research is to test the potential for neuroadaptive automation to improve response speed to a hazardous event by using a brain-computer interface (BCI) to decode perceptual-motor intention. Seven participants underwent four experimental sessions while measuring brain activity with magnetoencephalograpy. The first three sessions were of a simple constrained task in which the participant was to pull back on the control stick to recover from a perturbation in attitude in one condition and to passively observe the perturbation in the other condition. The fourth session consisted of having to recover from a perturbation in attitude while piloting the plane through the Grand Canyon constantly maneuvering to track over the river below. Independent component analysis was used on the first two sessions to extract artifacts and find an event related component associated with the onset of the perturbation. These two sessions were used to train a decoder to classify trials in which the participant recovered from the perturbation (motor intention) vs. just passively viewing the perturbation. The BCI-decoder was tested on the third session of the same simple task and found to be able to significantly distinguish motor intention trials from passive viewing trials (mean = 69.8%). The same BCI-decoder was then used to test the fourth session on the complex task. The BCI-decoder significantly classified perturbation from no perturbation trials (73.3%) with a significant time savings of 72.3 ms (Original response time of 425.0-352.7 ms for BCI-decoder). The BCI-decoder model of the best subject was shown to generalize for both performance and time savings to the other subjects. The results of our off-line open loop simulation demonstrate that BCI based neuroadaptive automation has the potential to decode motor intention faster than manual control in response to a hazardous perturbation in flight attitude while ignoring ongoing motor and visual induced activity related to piloting the airplane.Entities:
Keywords: MEG; aviation; brain computer interface; brain machine interface; decoding; independent component analysis; neuroadaptive automation; neuroergonomics
Year: 2016 PMID: 27199710 PMCID: PMC4846799 DOI: 10.3389/fnhum.2016.00187
Source DB: PubMed Journal: Front Hum Neurosci ISSN: 1662-5161 Impact factor: 3.169
Figure 1Outline of processing procedures for the implementation of the hypothesized neuroadaptive automation to speed recovery to perturbation in flight attitude. The goal of this system is to speed up response time for the aircraft to recover from a perturbation by decoding the motor intention of the pilot. In this way the pilot is always in control of the aircraft rather than relying on automation in which the pilot is out of the loop. It should be noted that all processing was done offline and that the online parts of the system were simulated. The processing times for each of the procedures if ran in real-time online are given. As we were carrying out an offline simulation to determine the feasibility of signal processing and the BCI-decoder performance during training and testing stages for implementation in a real-time neuroadaptive automation system the aircraft computer was not actually implemented in this study. The system is theoretically able to work in real time with only a 5–7.5 ms loss in time savings because the weights of the ICA and BCI-decoder are determined before hand and applied to the online system. The aircraft computer is a necessary part of the neuroadaptive automation system that receives commands from the BCI-decoder to implement the recovery maneuver (in this case upward elevator deflection). The aircraft computer can also send information to the BCI-Decoder that can signal the onset of potential perturbations to the airplane. This information can be used to reduce the occurrence of false-alarms made by the system (executing upward elevator deflection when there is no actual perturbation or motor intention to recover). The aircraft computer can use up to 120 ms (time of the processing window for the BCI-decoder) to determine the presence of a non-pilot initiated perturbation in attitude without causing a loss in the time savings afforded by the neuroadaptive automation system. ICA, Independent Component Anayalsis; BCI, Brain Computer Interface; LSPC, Least Squares Probabilistic Classification; UDP, Universal Datagram Protocol.
Figure 2First person view the participant observes while carrying out the simple piloting task over the ocean (A,B) and the complex piloting task (C,D). The first panel for each task (A,C) shows a representative image of what the view may appear like prior to the perturbation. The second panel for each task (B,D) shows a representative image of what the view may appear like during the perturbation. Notice that in the simple piloting task over the ocean (A,B) the bank angle is always level, whereas, in the complex piloting task the bank angle is continuously changing based on the control stick inputs to maintain the goal of tracking the river (See Supplementary Videos 1–6).
Figure 3Source localized activity for each participant (P01–P07 denotes participant identification number). (A) On the left the independent component analysis spatial filters for the MEG channels are shown for each participant. (B) The mean activation waveform for session one with the peak latency given in the upper corner for each participant. The blue boxes over the peak denote the three 40 ms windows the decoder was trained on. The mean response time is denoted by the gray line in the plot. The corresponding value is shown to the bottom right of this line for each participant. (C) The estimated current using variational Baysian multimodal encephalography VBMEG is shown rendered on the surface of the brain for each participant.
Response time to pull back on control stick after start of perturbation for the two training sessions and two test sessions.
| 1 | 356.4 | 1 | 387.7 | 2 | 370.4 | 1 | 357.9 | 0 | 0 |
| 2 | 377.7 | 0 | 427.0 | 2 | 452.6 | 3 | 436.5 | 8 | 9 |
| 3 | 386.5 | 2 | 371.4 | 0 | 384.4 | 0 | 454 | 2 | 6 |
| 4 | 295.1 | 0 | 303.7 | 0 | 305.5 | 0 | 359.8 | 2 | 6 |
| 5 | 323.9 | 0 | 336.9 | 0 | 342.3 | 0 | 462.2 | 1 | 1 |
| 6 | 355.0 | 0 | 386.3 | 9 | 368.5 | 3 | 480.4 | 5 | 0 |
| 7 | 348.4 | 0 | 347.1 | 0 | 337.8 | 0 | 424.1 | 4 | 9 |
| Group mean | 349.0 | 0.43 | 365.7 | 1.86 | 365.9 | 1.0 | 425.0 | 3.14 | 10.33 |
ID, Participant identification number; RT, Response Time; Ses, Session; BT, Bad Trial; CT, Crash Trial.
MNI coordinates of clusters of brain activity for each participant.
| Orbital Gyrus | −22,58, −4 | −34,56, −6 | 26,45, −13 | −6,56, −14 | |||
| −12,54, −16 | 48,36, −10 | 22,46, −12 | |||||
| SFG, MFG | −14,44,32 | −38,40,30 | |||||
| −32,40,36 | 42,51,7 | ||||||
| IFG BA44 | −52,4,10 | 54,14,10 | −49,5,6 | −50,10,6 | 54,18, −2 | ||
| 56,16,22 | 56,8,34 | 58, −1,7 | |||||
| IFG BA45 | 45,44,2 | 58,30,0 | −50,25, −1 | −48,36,4 | 48,44,12 | ||
| 56,26,2 | |||||||
| SFG SMA BA6 | 1, −16,66 | −4,0,58 | −4, −3,68 | ||||
| 11, −13,67 | |||||||
| PMC BA6 | −35, −25,68 | −34, −23,68 | −30, −27,68 | −36, −28,68 | −38, −8,64 | −26, −21,70 | −33, −25,67 |
| 46, −8,48 | 28, −8,64 | 22, −31,76 | 58,4,31 | ||||
| Pre−CG BA4 | −48, −16,56 | −35, −25,58 | −35, −25,54 | −32, −28,69 | −42, −18,54 | −9, −42,75 | −30, −38,70 |
| 42, −10,46 | 12, −27,74 | 8, −34,76 | −28, −27,59 | ||||
| 38, −30,61 | 9, −38,75 | ||||||
| Post−CG BA1,2,3 | −18, −36,76 | −24, −36,72 | −40, −41,61 | −30, −34,70 | −30, −44,64 | −35, −35,67 | −40, −44,58 |
| −48, −30,58 | −52, −32,54 | 44, −22,60 | −44, −34,58 | −62, −8,10 | −47, −26,55 | 56, −20,46 | |
| 46, −32,60 | 38, −32,60 | 53, −24,55 | 44, −30,60 | ||||
| 62, −24,26 | |||||||
| SPL | −10, −76,52 | 10, −70,56 | −38, −48,57 | −14, −54,66 | −24, −60,62 | −16, −74,48 | −16, −70,62 |
| −22, −82,48 | 24, −56,56 | −8, −65,58 | −10, −90,34 | 20, −66,60 | 18, −66,48 | −16, −86,38 | |
| 12, −56,68 | 9, −64,61 | 16, −68,56 | 13, −66,62 | ||||
| 26, −50,66 | 41, −45,58 | ||||||
| IPC | −54, −70,16 | −46, −74,18 | −52, −44,38 | −58, −39,35 | −58, −18,28 | ||
| −56, −24,30 | 46, −70,14 | 48, −43,35 | 57, −34,40 | 60, −30,30 | |||
| 60, −22,34 | 68, −30,20 | 58, −30,40 | 46, −82,20 | ||||
| hOC5 (V5) MT, IOG | 52, −67, −1 | −44, −74,18 | −40, −70, −2 | −52, −72, −2 | 52, −62, −16 | −44, −72,5 | −52, −70,0 |
| 56, −62,4 | 54, −67,13 | 50, −70,0 | 53, −69,1 | 56, −64, −2 | |||
| hOC4 | −38, −72, −12 | 32, −71, −1 | 46, −80, −15 | −32, −77,0 | |||
| 40, −72, −12 | |||||||
| Cuneus Calcarine Gyrus BA17,18 | −12, −104,4 | −4, −72,2 | −8, −68,4 | −2, −80, −2 | 16, −94,16 | −10, −98,2 | −4, −72,0 |
| −24, −102, −6 | −10, −94,26 | −8, −94, −8 | 8, −82,10 | 20, −98, −10 | 12, −90,0 | 10, −70,0 | |
| 20, −98,22 | −10, −100,8 | 18, −92, −14 | 12, −102,4 | 6, −86,16 | |||
| 14, −98,0 | 10, −70,2 | ||||||
| 16, −100, −14 | 16, −96,20 | ||||||
| MTG | −56, −64, −2 | −48, −24, −10 | 55, −66, −2 | ||||
| −56, −59,8 | |||||||
| 60, −26, −16 | |||||||
| 54, −63, −2 | |||||||
| ITG | −54, −50, −18 | 60, −48, −12 | −46, −60, −10 | 54, −54, −20 | 50, −56, −16 | −44, −63,0 | |
| 48, −50, −12 | −52, −32, −20 | −44, −62, −16 | −56, −20, −24 | ||||
| −58, −24, −20 | 60, −46,0 | ||||||
| Temporal Pole | −50,6, −15 | −48,12, −20 | |||||
| 58, −2, −6 |
P, participant identification number; IFG, Inferior Frontal Gyrus; SFG, Superior Frontal Gyrus; SMA, Supplementary Motor Area; PMC, Premotor Cortex; Pre-CG, Pre Central Gyrus; Post-CG, Post Central Gyrus; SPL, Superior Parietal Lobule; IPC, Inferior Parietal Cortex; hOC5 (V5), Human Occipital Cortex Visual motion processing area V5; MT, Middle Temporal Cortex overlaps area hOC5; IOG, Inferior occipital gyrus; MTG, Middle Temporal Gyrus; ITG, Inferior temporal gyrus. MNI coordinates of Clusters of root-mean-squared RMS current 12 ms before and after the mean time in which the decoder detected motor intention to the presence of a perturbation. The threshold of significant RMS current activity at a specific vertex point was set at 20x the mean baseline RMS current from −400 to 0 ms across all vertex points. A spatial extent threshold of 100 voxels was used on the smoothed projection into MNI space.
Figure 4Source localized activity common to all participants. Activity is present in the left pre- central gyrus, the left post central gyrus, the right superior parietal lobule, the right primary visual cortex V1, and the right visual motion processing area V5.
MNI coordinates of clusters of brain activity common across all participants.
| Pre-CG, PMC BA4,6 | −36,−26,68 |
| Post-CG BA1,2,3 | −30,−38,68 |
| SPL 7P 7A Precuneus | 12 −68,60 |
| Cuneus (V1) BA17 | 16,−96,10 |
| hOC5(V5) | 52,−62,0 |
Pre-CG, Pre Central Gyrus; Post-CG, Post Central Gyrus; SPL, Superior Parietal Lobule; hOC5 (V5), Human Occipital Cortex Visual motion processing area V5.
MNI coordinates of Clusters of root-mean-squared RMS current 12 ms before and after the mean time in which the decoder detected motor intention to the presence of a perturbation that are common across all seven participants. The threshold of significant RMS current activity at a specific vertex point was set at 20x the mean baseline RMS current from −400 to 0 ms across all vertex points.
Novel test session classification performance: simple piloting task over ocean: detect perturbation piloting vs. perturbation passively watch.
| 1 | 61.5 (58.4) | 48.6 | 73.5 | 0.039 | 21 | 16 | 6 | 13 | 0.57 | 0.32 | 0.65 | 0.70 |
| 2 | 58 (51.2) | 45.9 | 69.3 | 0.093 | 15 | 21 | 5 | 16 | 0.42 | 0.24 | 0.50 | 0.67 |
| 3 | 73.1 (72.4) | 61.1 | 83.0 | 0.023 | 26 | 15 | 2 | 14 | 0.63 | 0.13 | 1.49 | 0.85 |
| 4 | 73.8 (67.1) | 62.2 | 83.7 | 0.009 | 27 | 13 | 3 | 16 | 0.68 | 0.16 | 1.46 | 0.85 |
| 5 | 76.3 (75.0) | 67.3 | 84.4 | 0.0002 | 23 | 17 | 0 | 19 | 0.58 | 0.05 | 1.86 | 0.89 |
| 6 | 81.1 (78.8) | 70.9 | 89.4 | 0.0001 | 27 | 10 | 1 | 18 | 0.73 | 0.05 | 2.23 | 0.91 |
| 7 | 64.8 (62.6) | 52.9 | 75.6 | 0.009 | 21 | 19 | 4 | 16 | 0.53 | 0.20 | 0.90 | 0.76 |
| Group mean | 69.8 (66.5) | 58.4 | 79.8 | 0.016 | 23 | 16 | 3 | 16 | 0.59 | 0.16 | 1.30 | 0.80 |
ID, Participant identification number; bacc_mean, Balanced accuracy mean in percent; bacc_ppi, Posterior probability intervals; bacc_p, p value; TP, true positive (hit); FN, false negative (miss); FP, false positive (false alarm); TN, true negative (correct rejection); HR, hit rate; FAR, false alarm rate; d′, d prime; a′, a prime.
In the case when the FAR = 0 calculation of FAR is made by adding 1 to the original FP and TN values.
The performance scores are for the best out of 100 BCI-decoders trained on the first two sessions and tested on the novel simple piloting task session. The average balanced accuracy for all 100 BCI-decoders is given in parentheses for comparison.
The bacc_p value for the group mean is the Wilcoxon signed rank test over the bacc_mean values for the 7 subjects that the values are greater than 50.
Novel test session classification performance: complex piloting task through Grand Canyon: detect perturbation piloting vs. no perturbation piloting.
| 1 | 85.6 | 78.3 | 91.5 | 0.0001 | 47 | 13 | 1 | 29 | 0.78 | 0.03 | 2.62 | 0.93 |
| 2 | 66.6 | 58.1 | 74.6 | 0.02 | 22 | 30 | 2 | 28 | 0.42 | 0.07 | 1.31 | 0.81 |
| 3 | 74.7 | 65.5 | 82.7 | 0.0001 | 38 | 20 | 4 | 26 | 0.66 | 0.13 | 1.51 | 0.85 |
| 4 | 76.7 | 67.1 | 85.1 | 0.0001 | 46 | 12 | 7 | 23 | 0.79 | 0.23 | 1.55 | 0.86 |
| 5 | 66.1 | 56.3 | 75.1 | 0.001 | 32 | 27 | 6 | 24 | 0.54 | 0.20 | 0.95 | 0.76 |
| 6 | 79.4 | 70.1 | 87.4 | 0.0001 | 45 | 10 | 6 | 24 | 0.82 | 0.20 | 1.75 | 0.88 |
| 7 | 63.7 | 54.5 | 72.2 | 0.003 | 24 | 32 | 4 | 26 | 0.43 | 0.13 | 0.93 | 0.76 |
| Group mean | 73.3 | 64.3 | 81.2 | 0.016 | 36 | 21 | 4 | 26 | 0.63 | 0.14 | 1.52 | 0.84 |
ID, Participant identification number; bacc_mean, Balanced accuracy mean in percent; bacc_ppi, Posterior probability intervals; bacc_p, p value; TP, true positive (hit); FN, false negative (miss); FP, false positive (false alarm); TN, true negative (correct rejection); HR, hit rate; FAR, false alarm rate; d′, d prime; a′, a prime.
The bacc_p value for the group mean is the Wilcoxon signed rank test over the bacc_mean values for the seven participants that the values are greater than 50.
Generalization of performance using best subjects weights: novel test session classification performance: complex piloting task through Grand Canyon: detect perturbation piloting vs. no perturbation piloting.
| 1 | – | – | – | – | – | – | – | – | – | – | – | – |
| 2 | 57.7 | 51.9 | 63.8 | 0.007 | 9 | 43 | 0 | 30 | 0.17 | 0.03 | 0.91 | 0.79 |
| 3 | 73.8 | 64.9 | 81.6 | 0.0001 | 35 | 23 | 3 | 27 | 0.60 | 0.10 | 1.54 | 0.85 |
| 4 | 68.6 | 60.3 | 76.3 | 0.0001 | 27 | 31 | 2 | 28 | 0.47 | 0.07 | 1.41 | 0.82 |
| 5 | 63.4 | 54.8 | 71.4 | 0.002 | 23 | 36 | 3 | 27 | 0.39 | 0.01 | 1.00 | 0.77 |
| 6 | 80.8 | 71.9 | 88.3 | 0.0001 | 43 | 12 | 4 | 26 | 0.78 | 0.13 | 1.89 | 0.89 |
| 7 | 64.3 | 56.0 | 72.0 | 0.0007 | 21 | 35 | 2 | 28 | 0.38 | 0.07 | 1.18 | 0.79 |
| Group mean | 68.1 (71.2) | 60.0 (61.9) | 75.6 (79.5) | 0.032 (0.032) | 26 | 30 | 2 | 28 | 0.47 | 0.07 | 1.32 (1.33) | 0.82 (0.82) |
ID, Participant identification number; bacc_mean, Balanced accuracy mean in percent; bacc_ppi, Posterior probability intervals; bacc_p, p value; TP, true positive (hit); FN, false negative (miss); FP, false positive (false alarm); TN, true negative (correct rejection); HR, hit rate; FAR, false alarm rate; d′, d prime; a′, a prime.
The bacc_p value for the group mean is the Wilcoxon signed rank test over the bacc_mean values for the six subjects that the values are greater than 50.
The number in parentheses are the group mean values of the original decoder excluding sub01.
Denotes p < 0.05 on paired Wilcoxon signed rank test for the comparison between the original decoder and the one trained with sub01 model over the six participants.
Improvement in response time by adaptive automation complex piloting task through the Grand Canyon.
| 1 | 60 | 47 | 1 | 357.9 | 5.2 | 283.1 | 9.8 | 74.8 | 7.8 | 5.2 | 0.002 |
| 2 | 52 | 22 | 2 | 436.5 | 13.8 | 369.7 | 15.6 | 66.7 | 14.3 | 6.4 | 0.023 |
| 3 | 58 | 38 | 4 | 454.0 | 10.2 | 405.2 | 13.6 | 48.7 | 7.9 | 4.5 | 0.014 |
| 4 | 58 | 46 | 7 | 359.8 | 7.3 | 277.0 | 10.6 | 82.8 | 10.4 | 4.9 | 0.001 |
| 5 | 59 | 32 | 6 | 462.2 | 6.6 | 404.2 | 12.7 | 58.0 | 11.8 | 3.1 | 0.003 |
| 6 | 55 | 45 | 6 | 480.4 | 7.3 | 341.4 | 14.1 | 138.9 | 15.4 | 13.5 | 0.002 |
| 7 | 56 | 24 | 4 | 424.1 | 9.3 | 388.0 | 13.3 | 36.1 | 8.6 | 7.4 | 0.041 |
| Group mean | 59 | 36 | 4 | 425.0 | 8.5 | 352.7 | 12.8 | 72.3 | 10.9 | 6.4 | 0.016 |
The p-value in the last column denotes the significance of the time savings improvement of the BCI adaptive automation over the original joystick based response times based on permutation testing of 1000 models trained with random labels.
ID, Participant identification number; N, Number of Perturbation Piloting Trials; TP, True Positives (hits); FP, False Positives (false alarms); rt diff, response time difference; Org, Original; se, standard error; Perm, Permuted; BCI Brain Computer Interface.
The Perm P-value for the group mean is the paired Wilcoxon signed rank test comparing the BCI rt diff values to the Perm rt diff values for the seven participants.
Figure 5The decoded response time (circles) plotted on the single trial activation waveforms (ranging from: red: large positive amplitude to blue: large negative amplitude) of the selected independent component of the simulated neuroadaptive automation on the complex piloting task for (A) the best participant (P01) and (B) the middle range participant in terms of classification performance (P03). Both perturbation absent trials (top of each plot) and perturbation present trials (bottom of each plot) are shown. The perturbation present trials are arranged in order of fastest manual response time (bottom) to the slowest (top). The manual response times are denoted by the thick white line for the perturbation present trials. The decoded response time, by the simulated neuroadaptive automation (BCI classifier), of each trial is denoted by a black circle. For perturbation present trials the black circles denote hits when their time is faster than the manual response time (white line). For perturbation absent trials the black circles denote false alarms. A red circle is shown over the original response time in the case when the simulated neuroadaptive automation failed to classify the trial as a hit (misses) or in which it was slower than the original response time (slow responses).
Generalization of performance using best subjects weights: improvement in response time by adaptive automation complex piloting task through the Grand Canyon.
| 1 | – | – | – | – | – | – | – | – | – | – | – |
| 2 | 52 | 9 | 0 | 436.5 | 13.8 | 408.7 | 15.6 | 27.8 | 10.7 | 7.9 | 0.026 |
| 3 | 58 | 35 | 3 | 454.0 | 10.2 | 407.3 | 13.5 | 46.7 | 7.7 | 5.5 | 0.009 |
| 4 | 58 | 27 | 2 | 359.8 | 7.3 | 327.9 | 9.3 | 31.9 | 7.9 | 4.1 | 0.001 |
| 5 | 59 | 23 | 3 | 462.2 | 6.6 | 427.7 | 11.2 | 34.5 | 9.5 | 2.9 | 0.001 |
| 6 | 55 | 43 | 4 | 480.4 | 7.3 | 347.9 | 15.8 | 132.5 | 15.7 | 17.8 | 0.002 |
| 7 | 56 | 21 | 2 | 424.1 | 9.3 | 388.7 | 11.8 | 35.4 | 9.2 | 2.8 | 0.006 |
| Group mean | 56 | 26 | 2 | 436.2 | 9.1 | 384.7 | 12.9 (13.3) | 51.5 | 10.1 (11.4) | 6.8 (6.3) | 0.032 (0.032) |
The p-value in the last column denotes the significance of the time savings improvement of the BCI adaptive automation over the original joystick based response times based on permutation testing of 1000 models trained with random labels.
ID, Participant identification number; N, Number of Perturbation Piloting Trials; TP, True Positives (hits); FP, False Positives (false alarms); rt, response time; Org, Original; se, standard error; Perm, Permuted; BCI Brain Computer Interface.
The Perm P-value for the group mean is the paired Wilcoxon signed rank test comparing the BCI rt diff values to the Perm rt diff values for the six subjects.
The number in parentheses are the group mean values of the original decoder excluding sub01.
Denotes p < 0.05 on paired Wilcoxon signed rank test for the comparison between the original decoder and the one trained with sub01 model over the six participants.
Flight characteristics of F22 on Grand Canyon task.
| 1 | 81.4 | 1122 | 311.6 | 69.1 | 87.4 | 75 | 5.2 | 6.5 |
| 2 | 79.8 | 1082 | 300.7 | 65.4 | 94.7 | 67 | 4.4 | 6.3 |
| 3 | 80.2 | 1117 | 310.3 | 56.2 | 83.7 | 49 | 2.8 | 4.1 |
| 4 | 79.8 | 1115 | 309.8 | 79.7 | 103.2 | 83 | 6.6 | 8.6 |
| 5 | 82.4 | 1117 | 310.2 | 71.8 | 124.6 | 58 | 4.2 | 7.2 |
| 6 | 82 | 1122 | 311.7 | 75.4 | 111 | 139 | 10.5 | 15.4 |
| 7 | 79.9 | 1113 | 309.1 | 69.6 | 93.3 | 36 | 2.5 | 3.4 |
| Group mean | 80.8 | 1113 | 309.1 | 69.6 | 99.7 | 72 | 5.2 | 7.4 |
ID, Participant identification number; DR, Decent Rate; Avg, average.
The climb/descent rate is variable depending on the attitude of the plane at time of perturbation. The values given are the (1) mean of the maximum slope of descent calculated over a 200 ms period across trials and (2) the greatest maximum slope of descent calculated over a 200 ms period across trials.
It is important to note that time and distance to ground saved by earlier elevator engagement is not only the savings in less descent toward ground but also allows for gain in altitude relative to time because of earlier climb.