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Stock-based Compensation Plans (Tables) | 12 Months Ended
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Dec. 31, 2020
Allocation of Stock-Based Compensation by Functional Category | The following table details the amount of stock-based compensation that is allocated to functional expense categories for each of the years in the three-year period ended December 31, 2020 (in thousands):
| 2020 |  |  | 2019 |  |  | 2018 |  |
Direct operating expense | $ | 1,078 |  |  | $ | 1,928 |  |  | $ | 2,109 |
Brokered natural gas and marketing expense |  | 1,416 |  |  |  | 1,856 |  |  |  | 1,452 |
Exploration expense |  | 1,279 |  |  |  | 1,566 |  |  |  | 1,921 |
General and administrative expense |  | 32,905 |  |  |  | 35,061 |  |  |  | 43,806 |
Termination costs |  | 2,165 |  |  |  | 1,971 |  |  |  | — |
Total stock-based compensation | $ | 38,843 |  |  | $ | 42,382 |  |  | $ | 49,288 |
Restricted Stock and Restricted Stock Units Outstanding | The following is a summary of the status of our non-vested restricted stock outstanding at December 31, 2020:
| Restricted Stock Equity Awards |  |  | Restricted Stock Liability Awards |
| Shares |  |  | Weighted Average Grant Date Fair Value |  |  | Shares |  |  | Weighted Average Grant Date Fair Value |
Outstanding at December 31, 2019 |  | 2,002,239 |  |  | $ | 12.32 |  |  |  | 411,126 |  |  | $ | 10.94 |
Granted |  | 4,462,711 |  |  |  | 3.42 |  |  |  | 3,535,093 |  |  |  | 3.18 |
Vested |  | (3,063,652 | ) |  |  | 6.93 |  |  |  | (2,678,013 | ) |  |  | 3.94 |
Forfeited |  | (585,438 | ) |  |  | 8.03 |  |  |  | (81,570 | ) |  |  | 3.02 |
Outstanding at December 31, 2020 |  | 2,815,860 |  |  | $ | 4.97 |  |  |  | 1,186,636 |  |  | $ | 4.18 |
Schedule of Share Based Payment Award Performance Stock Awards Valuation Assumptions | The following assumptions were used to estimate the fair value of the TSR-PSUs granted during the years ended December 31, 2020, 2019 and 2018:
|  | Year Ended December 31, 2019 |
|  | 2020 |  |  | 2019 |  |  | 2018 |
Risk-free interest rate |  |  | 1.4 | % |  |  | 2.44 | % |  |  | 2.42 | %
Expected annual volatility |  |  | 65 | % |  |  | 46 | % |  |  | 48 | %
Grant date fair value per unit |  | $ | 3.85 |  |  | $ | 11.34 |  |  | $ | 18.51 |
Summary of Change in Post Retirement Benefit Obligation | The change in our post-retirement benefit obligation is as follows (in thousands):
Change in Benefit Obligation: |  | 2020 |  |  | 2019 |
Benefit obligation at beginning of year |  | $ | 1,957 |  |  | $ | 1,355 |
Service cost |  |  | 80 |  |  |  | 88 |
Interest cost |  |  | 50 |  |  |  | 68 |
Actuarial (gain) loss |  |  | (39 | ) |  |  | 532 |
Benefits paid |  |  | (95 | ) |  |  | (86 | )
Benefit obligation at end of year |  | $ | 1,953 |  |  | $ | 1,957 |
Amounts recognized in the consolidated balance sheet: |  |  |  |  |  |  |  |
Long-term liabilities |  | $ | 1,953 |  |  | $ | 1,957 |
Components of Net Periodic Post Retirement Benefit Cost: |  |  |  |  |  |  |  |
Service cost |  | $ | 80 |  |  | $ | 88 |
Interest cost |  |  | 50 |  |  |  | 68 |
Amortization of prior service cost |  |  | 369 |  |  |  | 369 |
Net periodic post retirement costs (recognized in general and administrative expense) |  | $ | 499 |  |  | $ | 525 |
Other Changes in Benefit Obligations in Other Comprehensive Income (Loss): |  |  |  |  |  |  |  |
Net (gain) loss |  | $ | (39 | ) |  | $ | 532 |
Prior service cost |  |  | — |  |  |  | — |
Amortization of prior service cost |  |  | (369 | ) |  |  | (369 | )
Total recognized in other comprehensive (loss) income |  | $ | (408 | ) |  | $ | 163 |
Total recognized in net periodic benefit cost and other comprehensive income |  | $ | 91 |  |  | $ | 688 |
Summary of Assumptions Used to Determine Benefit Obligation | The following summarizes the assumptions used to determine the benefit obligation at December 31, 2020 and 2019:
|  | December 31, 2020 |  |  |  | December 31, 2019 |
Weighted average assumptions used to determine benefit obligation: |  |  |  |  |  |  |  |  |
Discount rate |  |  | 1.9 | % |  |  |  | 2.9 | %
Assumed weighted average healthcare cost trend rates: |  |  |  |  |  |  |  |  |
Initial healthcare trend rate |  |  | 6.5 | % |  |  |  | 6.5 | %
Ultimate trend rate |  |  | 4.5 | % |  |  |  | 4.5 | %
Year ultimate trend rate reached |  |  | 2024 |  |  |  |  | 2023 |
Performance-based PG-PSUs and RG-PSUs |
Summary of Non-Vested Awards Activities | The following is a summary of our non-vested PG/RG-PSUs award activities at December
| Number of Units |  |  |  | Weighted Average Grant Date Fair Value |
Outstanding at December 31, 2019 |  | 881,573 |  |  | $ | 11.70 |
Units granted (a) |  | 777,847 |  |  |  | 2.33 |
Vested |  | (101,150 | ) |  |  | 15.32 |
Forfeited (b) |  | (459,168 | ) |  |  | 2.33 |
Outstanding at December 31, 2020 |  | 1,099,102 |  |  | $ | 5.92 |
(a) Amounts granted reflect the number of performance units granted; however, the actual payout of shares will be between zero and 200% depending on achievement of specifically identified performance targets. (b) For RG-PSU’s tranches granted in 2018, 2019 and 2020 which are set to vest in early 2021, the performance metric is not expected to be met and are considered forfeited. For PG-PSU’s tranches granted in 2018, 2019 and 2020 which are set to vest in early 2021, the payout is estimated at 23% with the remainder considered to be forfeited.
Performance Based TSR - PSUs |
Summary of Non-Vested Awards Activities | The following is a summary of our non-vested TSR – PSUs award activities:
|  | Number of Units |  |  | Weighted Average Grant Date Fair Value |
Outstanding at December 31, 2019 |  |  | 993,452 |  |  | $ | 19.00 |
Granted (a) |  |  | 610,155 |  |  |  | 3.85 |
Vested and issued (b) |  |  | (278,184 | ) |  |  | 26.12 |
Forfeited |  |  | (75,899 | ) |  |  | 26.66 |
Outstanding at December 31, 2020 |  |  | 1,249,524 |  |  | $ | 9.55 |
(a) These amounts reflect the number of performance units granted. The actual payout of shares may be between zero and 200% of the performance units granted depending on the total shareholder return ranking compared to our peer companies at the vesting date. (b) Includes 278,184 TSR-PSUs awards issued related to 2017 performance where the return on our common stock was in the 60th percentile for the March 2017 grant and the 80th percentile for the May 2017 grant. The remaining 2017 awards were considered to be forfeited.

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